%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL027-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 19:44:36 EDT 2022
% Result : Unsatisfiable 68.43s 68.62s
% Output : CNFRefutation 70.31s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(maddux1_join_commutativity_1,axiom,
join(A,B) = join(B,A) ).
cnf(maddux2_join_associativity_2,axiom,
join(A,join(B,C)) = join(join(A,B),C) ).
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(A,B) = complement(join(complement(A),complement(B))) ).
cnf(composition_associativity_5,axiom,
composition(A,composition(B,C)) = composition(composition(A,B),C) ).
cnf(composition_identity_6,axiom,
composition(A,one) = A ).
cnf(composition_distributivity_7,axiom,
composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ).
cnf(converse_idempotence_8,axiom,
converse(converse(A)) = A ).
cnf(converse_additivity_9,axiom,
converse(join(A,B)) = join(converse(A),converse(B)) ).
cnf(converse_multiplicativity_10,axiom,
converse(composition(A,B)) = composition(converse(B),converse(A)) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ).
cnf(def_top_12,axiom,
top = join(A,complement(A)) ).
cnf(def_zero_13,axiom,
zero = meet(A,complement(A)) ).
cnf(goals_14,negated_conjecture,
join(sk1,one) = one ).
cnf(goals_15,negated_conjecture,
( join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) != meet(complement(composition(sk1,top)),one)
| join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) != meet(complement(sk1),one) ) ).
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( $equal(join(A,B),join(B,A)) )],[maddux1_join_commutativity_1,refute_0_3]) ).
cnf(refute_0_5,plain,
join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) = join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(complement(sk1),one))),bind(B,$fot(meet(complement(composition(sk1,top)),one)))]]) ).
cnf(refute_0_6,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_7,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) != join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one))
| join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) != meet(complement(composition(sk1,top)),one)
| join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) = meet(complement(composition(sk1,top)),one) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)))),bind(Y,$fot(join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)))),bind(Z,$fot(meet(complement(composition(sk1,top)),one)))]]) ).
cnf(refute_0_9,plain,
( join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) != meet(complement(composition(sk1,top)),one)
| join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) = meet(complement(composition(sk1,top)),one) ),
inference(resolve,[$cnf( $equal(join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)),join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) != meet(complement(composition(sk1,top)),one)
| meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one)
| join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) = meet(complement(sk1),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)),meet(complement(sk1),one)) ),[0],$fot(meet(complement(composition(sk1,top)),one))]]) ).
cnf(refute_0_11,plain,
( join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) != meet(complement(composition(sk1,top)),one)
| meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one)
| join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) = meet(complement(sk1),one) ),
inference(resolve,[$cnf( $equal(join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)),meet(complement(composition(sk1,top)),one)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) != meet(complement(composition(sk1,top)),one)
| meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one) ),
inference(resolve,[$cnf( $equal(join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)),meet(complement(sk1),one)) )],[refute_0_11,goals_15]) ).
cnf(refute_0_13,plain,
join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) = join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)),
introduced(tautology,[refl,[$fot(join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)))]]) ).
cnf(refute_0_14,plain,
( join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) != join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one))
| meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one)
| join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) = join(meet(complement(sk1),one),meet(complement(sk1),one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)),join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one))) ),[1,1],$fot(meet(complement(sk1),one))]]) ).
cnf(refute_0_15,plain,
( meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one)
| join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) = join(meet(complement(sk1),one),meet(complement(sk1),one)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)),join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) != join(meet(complement(sk1),one),meet(complement(sk1),one))
| join(meet(complement(sk1),one),meet(complement(sk1),one)) != meet(complement(composition(sk1,top)),one)
| join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) = meet(complement(composition(sk1,top)),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)),meet(complement(composition(sk1,top)),one)) ),[0],$fot(join(meet(complement(sk1),one),meet(complement(sk1),one)))]]) ).
cnf(refute_0_17,plain,
( join(meet(complement(sk1),one),meet(complement(sk1),one)) != meet(complement(composition(sk1,top)),one)
| meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one)
| join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) = meet(complement(composition(sk1,top)),one) ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)),join(meet(complement(sk1),one),meet(complement(sk1),one))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( join(meet(complement(sk1),one),meet(complement(sk1),one)) != meet(complement(sk1),one)
| meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one)
| join(meet(complement(sk1),one),meet(complement(sk1),one)) = meet(complement(composition(sk1,top)),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(complement(sk1),one),meet(complement(sk1),one)),meet(complement(composition(sk1,top)),one)) ),[1],$fot(meet(complement(sk1),one))]]) ).
cnf(refute_0_19,plain,
( join(meet(complement(sk1),one),meet(complement(sk1),one)) != meet(complement(sk1),one)
| meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one)
| join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) = meet(complement(composition(sk1,top)),one) ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),one),meet(complement(sk1),one)),meet(complement(composition(sk1,top)),one)) )],[refute_0_18,refute_0_17]) ).
cnf(refute_0_20,plain,
( join(meet(complement(sk1),one),meet(complement(sk1),one)) != meet(complement(sk1),one)
| meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one) ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)),meet(complement(composition(sk1,top)),one)) )],[refute_0_19,refute_0_12]) ).
cnf(refute_0_21,plain,
meet(X_6,X_7) = complement(join(complement(X_6),complement(X_7))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_6)),bind(B,$fot(X_7))]]) ).
cnf(refute_0_22,plain,
join(complement(X_7),complement(X_6)) = join(complement(X_6),complement(X_7)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(X_7))),bind(B,$fot(complement(X_6)))]]) ).
cnf(refute_0_23,plain,
( join(complement(X_7),complement(X_6)) != join(complement(X_6),complement(X_7))
| join(complement(X_6),complement(X_7)) = join(complement(X_7),complement(X_6)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(X_7),complement(X_6)))),bind(Y,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_24,plain,
join(complement(X_6),complement(X_7)) = join(complement(X_7),complement(X_6)),
inference(resolve,[$cnf( $equal(join(complement(X_7),complement(X_6)),join(complement(X_6),complement(X_7))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( join(complement(X_6),complement(X_7)) != join(complement(X_7),complement(X_6))
| meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) ),[1,0],$fot(join(complement(X_7),complement(X_6)))]]) ).
cnf(refute_0_26,plain,
( meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))) ),
inference(resolve,[$cnf( $equal(join(complement(X_6),complement(X_7)),join(complement(X_7),complement(X_6))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) )],[refute_0_21,refute_0_26]) ).
cnf(refute_0_28,plain,
( meet(A,B) != complement(join(complement(A),complement(B)))
| complement(join(complement(A),complement(B))) = meet(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,B))),bind(Y,$fot(complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_29,plain,
complement(join(complement(A),complement(B))) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(A,B),complement(join(complement(A),complement(B)))) )],[maddux4_definiton_of_meet_4,refute_0_28]) ).
cnf(refute_0_30,plain,
complement(join(complement(X_7),complement(X_6))) = meet(X_7,X_6),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_7)),bind(B,$fot(X_6))]]) ).
cnf(refute_0_31,plain,
( complement(join(complement(X_7),complement(X_6))) != meet(X_7,X_6)
| meet(X_6,X_7) != complement(join(complement(X_7),complement(X_6)))
| meet(X_6,X_7) = meet(X_7,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_7),complement(X_6)))) ),[1],$fot(meet(X_7,X_6))]]) ).
cnf(refute_0_32,plain,
( meet(X_6,X_7) != complement(join(complement(X_7),complement(X_6)))
| meet(X_6,X_7) = meet(X_7,X_6) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_7),complement(X_6))),meet(X_7,X_6)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
meet(X_6,X_7) = meet(X_7,X_6),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_7),complement(X_6)))) )],[refute_0_27,refute_0_32]) ).
cnf(refute_0_34,plain,
( meet(X_6,X_7) != meet(X_7,X_6)
| meet(X_7,X_6) = meet(X_6,X_7) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(meet(X_7,X_6)))]]) ).
cnf(refute_0_35,plain,
meet(X_7,X_6) = meet(X_6,X_7),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),meet(X_7,X_6)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
meet(complement(composition(sk1,top)),one) = meet(one,complement(composition(sk1,top))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(composition(sk1,top))))]]) ).
cnf(refute_0_37,plain,
( meet(complement(composition(sk1,top)),one) != meet(one,complement(composition(sk1,top)))
| meet(one,complement(composition(sk1,top))) != meet(complement(sk1),one)
| meet(complement(composition(sk1,top)),one) = meet(complement(sk1),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) ),[0],$fot(meet(one,complement(composition(sk1,top))))]]) ).
cnf(refute_0_38,plain,
( meet(one,complement(composition(sk1,top))) != meet(complement(sk1),one)
| meet(complement(composition(sk1,top)),one) = meet(complement(sk1),one) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(sk1,top)),one),meet(one,complement(composition(sk1,top)))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
meet(complement(sk1),one) = meet(one,complement(sk1)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(sk1)))]]) ).
cnf(refute_0_40,plain,
( meet(complement(sk1),one) != meet(one,complement(sk1))
| meet(one,complement(composition(sk1,top))) != meet(one,complement(sk1))
| meet(one,complement(composition(sk1,top))) = meet(complement(sk1),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(one,complement(composition(sk1,top))),meet(complement(sk1),one)) ),[1],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_41,plain,
( meet(one,complement(composition(sk1,top))) != meet(one,complement(sk1))
| meet(one,complement(composition(sk1,top))) = meet(complement(sk1),one) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),one),meet(one,complement(sk1))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( meet(one,complement(composition(sk1,top))) != meet(one,complement(sk1))
| meet(complement(composition(sk1,top)),one) = meet(complement(sk1),one) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(sk1,top))),meet(complement(sk1),one)) )],[refute_0_41,refute_0_38]) ).
cnf(refute_0_43,plain,
( join(meet(complement(sk1),one),meet(complement(sk1),one)) != meet(complement(sk1),one)
| meet(one,complement(composition(sk1,top))) != meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) )],[refute_0_42,refute_0_20]) ).
cnf(refute_0_44,plain,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = join(complement(B),composition(converse(A),complement(composition(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(B))),bind(B,$fot(composition(converse(A),complement(composition(A,B)))))]]) ).
cnf(refute_0_45,plain,
( join(composition(converse(A),complement(composition(A,B))),complement(B)) != complement(B)
| join(composition(converse(A),complement(composition(A,B))),complement(B)) != join(complement(B),composition(converse(A),complement(composition(A,B))))
| join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B) ),
introduced(tautology,[equality,[$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_46,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( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),join(complement(B),composition(converse(A),complement(composition(A,B))))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B),
inference(resolve,[$cnf( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)) )],[converse_cancellativity_11,refute_0_46]) ).
cnf(refute_0_48,plain,
join(complement(X_61),composition(converse(one),complement(composition(one,X_61)))) = complement(X_61),
inference(subst,[],[refute_0_47:[bind(A,$fot(one)),bind(B,$fot(X_61))]]) ).
cnf(refute_0_49,plain,
composition(X_44,composition(one,X_46)) = composition(composition(X_44,one),X_46),
inference(subst,[],[composition_associativity_5:[bind(A,$fot(X_44)),bind(B,$fot(one)),bind(C,$fot(X_46))]]) ).
cnf(refute_0_50,plain,
composition(X_44,one) = X_44,
inference(subst,[],[composition_identity_6:[bind(A,$fot(X_44))]]) ).
cnf(refute_0_51,plain,
( composition(X_44,composition(one,X_46)) != composition(composition(X_44,one),X_46)
| composition(X_44,one) != X_44
| composition(X_44,composition(one,X_46)) = composition(X_44,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_44,composition(one,X_46)),composition(composition(X_44,one),X_46)) ),[1,0],$fot(X_44)]]) ).
cnf(refute_0_52,plain,
( composition(X_44,composition(one,X_46)) != composition(composition(X_44,one),X_46)
| composition(X_44,composition(one,X_46)) = composition(X_44,X_46) ),
inference(resolve,[$cnf( $equal(composition(X_44,one),X_44) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
composition(X_44,composition(one,X_46)) = composition(X_44,X_46),
inference(resolve,[$cnf( $equal(composition(X_44,composition(one,X_46)),composition(composition(X_44,one),X_46)) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
composition(converse(one),composition(one,X_46)) = composition(converse(one),X_46),
inference(subst,[],[refute_0_53:[bind(X_44,$fot(converse(one)))]]) ).
cnf(refute_0_55,plain,
converse(composition(converse(A),X_19)) = composition(converse(X_19),converse(converse(A))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(converse(A))),bind(B,$fot(X_19))]]) ).
cnf(refute_0_56,plain,
( converse(composition(converse(A),X_19)) != composition(converse(X_19),converse(converse(A)))
| converse(converse(A)) != A
| converse(composition(converse(A),X_19)) = composition(converse(X_19),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),X_19)),composition(converse(X_19),converse(converse(A)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_57,plain,
( converse(composition(converse(A),X_19)) != composition(converse(X_19),converse(converse(A)))
| converse(composition(converse(A),X_19)) = composition(converse(X_19),A) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_56]) ).
cnf(refute_0_58,plain,
converse(composition(converse(A),X_19)) = composition(converse(X_19),A),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),X_19)),composition(converse(X_19),converse(converse(A)))) )],[refute_0_55,refute_0_57]) ).
cnf(refute_0_59,plain,
converse(composition(converse(X_54),one)) = composition(converse(one),X_54),
inference(subst,[],[refute_0_58:[bind(A,$fot(X_54)),bind(X_19,$fot(one))]]) ).
cnf(refute_0_60,plain,
composition(converse(X_54),one) = converse(X_54),
inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(X_54)))]]) ).
cnf(refute_0_61,plain,
( composition(converse(X_54),one) != converse(X_54)
| converse(composition(converse(X_54),one)) != composition(converse(one),X_54)
| converse(converse(X_54)) = composition(converse(one),X_54) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_54),one)),composition(converse(one),X_54)) ),[0,0],$fot(converse(X_54))]]) ).
cnf(refute_0_62,plain,
( converse(composition(converse(X_54),one)) != composition(converse(one),X_54)
| converse(converse(X_54)) = composition(converse(one),X_54) ),
inference(resolve,[$cnf( $equal(composition(converse(X_54),one),converse(X_54)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
converse(converse(X_54)) = composition(converse(one),X_54),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_54),one)),composition(converse(one),X_54)) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
converse(converse(X_54)) = X_54,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_54))]]) ).
cnf(refute_0_65,plain,
( converse(converse(X_54)) != X_54
| converse(converse(X_54)) != composition(converse(one),X_54)
| X_54 = composition(converse(one),X_54) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_54)),composition(converse(one),X_54)) ),[0],$fot(X_54)]]) ).
cnf(refute_0_66,plain,
( converse(converse(X_54)) != composition(converse(one),X_54)
| X_54 = composition(converse(one),X_54) ),
inference(resolve,[$cnf( $equal(converse(converse(X_54)),X_54) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
X_54 = composition(converse(one),X_54),
inference(resolve,[$cnf( $equal(converse(converse(X_54)),composition(converse(one),X_54)) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
composition(one,X_46) = composition(converse(one),composition(one,X_46)),
inference(subst,[],[refute_0_67:[bind(X_54,$fot(composition(one,X_46)))]]) ).
cnf(refute_0_69,plain,
( composition(one,X_46) != composition(converse(one),composition(one,X_46))
| composition(converse(one),composition(one,X_46)) = composition(one,X_46) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(one,X_46))),bind(Y,$fot(composition(converse(one),composition(one,X_46))))]]) ).
cnf(refute_0_70,plain,
composition(converse(one),composition(one,X_46)) = composition(one,X_46),
inference(resolve,[$cnf( $equal(composition(one,X_46),composition(converse(one),composition(one,X_46))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
( composition(converse(one),composition(one,X_46)) != composition(converse(one),X_46)
| composition(converse(one),composition(one,X_46)) != composition(one,X_46)
| composition(one,X_46) = composition(converse(one),X_46) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),composition(one,X_46)),composition(converse(one),X_46)) ),[0],$fot(composition(one,X_46))]]) ).
cnf(refute_0_72,plain,
( composition(converse(one),composition(one,X_46)) != composition(converse(one),X_46)
| composition(one,X_46) = composition(converse(one),X_46) ),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(one,X_46)),composition(one,X_46)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
composition(one,X_46) = composition(converse(one),X_46),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(one,X_46)),composition(converse(one),X_46)) )],[refute_0_54,refute_0_72]) ).
cnf(refute_0_74,plain,
( X_54 != composition(converse(one),X_54)
| composition(converse(one),X_54) = X_54 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_54)),bind(Y,$fot(composition(converse(one),X_54)))]]) ).
cnf(refute_0_75,plain,
composition(converse(one),X_54) = X_54,
inference(resolve,[$cnf( $equal(X_54,composition(converse(one),X_54)) )],[refute_0_67,refute_0_74]) ).
cnf(refute_0_76,plain,
composition(converse(one),X_46) = X_46,
inference(subst,[],[refute_0_75:[bind(X_54,$fot(X_46))]]) ).
cnf(refute_0_77,plain,
( composition(converse(one),X_46) != X_46
| composition(one,X_46) != composition(converse(one),X_46)
| composition(one,X_46) = X_46 ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,X_46),composition(converse(one),X_46)) ),[1],$fot(X_46)]]) ).
cnf(refute_0_78,plain,
( composition(one,X_46) != composition(converse(one),X_46)
| composition(one,X_46) = X_46 ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_46),X_46) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
composition(one,X_46) = X_46,
inference(resolve,[$cnf( $equal(composition(one,X_46),composition(converse(one),X_46)) )],[refute_0_73,refute_0_78]) ).
cnf(refute_0_80,plain,
composition(one,X_61) = X_61,
inference(subst,[],[refute_0_79:[bind(X_46,$fot(X_61))]]) ).
cnf(refute_0_81,plain,
( composition(one,X_61) != X_61
| join(complement(X_61),composition(converse(one),complement(composition(one,X_61)))) != complement(X_61)
| join(complement(X_61),composition(converse(one),complement(X_61))) = complement(X_61) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_61),composition(converse(one),complement(composition(one,X_61)))),complement(X_61)) ),[0,1,1,0],$fot(X_61)]]) ).
cnf(refute_0_82,plain,
( join(complement(X_61),composition(converse(one),complement(composition(one,X_61)))) != complement(X_61)
| join(complement(X_61),composition(converse(one),complement(X_61))) = complement(X_61) ),
inference(resolve,[$cnf( $equal(composition(one,X_61),X_61) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
join(complement(X_61),composition(converse(one),complement(X_61))) = complement(X_61),
inference(resolve,[$cnf( $equal(join(complement(X_61),composition(converse(one),complement(composition(one,X_61)))),complement(X_61)) )],[refute_0_48,refute_0_82]) ).
cnf(refute_0_84,plain,
composition(one,complement(X_61)) = complement(X_61),
inference(subst,[],[refute_0_79:[bind(X_46,$fot(complement(X_61)))]]) ).
cnf(refute_0_85,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(one)))]]) ).
cnf(refute_0_86,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_67:[bind(X_54,$fot(one))]]) ).
cnf(refute_0_87,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_88,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_90,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_85,refute_0_90]) ).
cnf(refute_0_92,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_93,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
composition(converse(one),complement(X_61)) = composition(converse(one),complement(X_61)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_61)))]]) ).
cnf(refute_0_95,plain,
( composition(converse(one),complement(X_61)) != composition(converse(one),complement(X_61))
| converse(one) != one
| composition(converse(one),complement(X_61)) = composition(one,complement(X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_61)),composition(converse(one),complement(X_61))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_96,plain,
( converse(one) != one
| composition(converse(one),complement(X_61)) = composition(one,complement(X_61)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_61)),composition(converse(one),complement(X_61))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
composition(converse(one),complement(X_61)) = composition(one,complement(X_61)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( composition(converse(one),complement(X_61)) != composition(one,complement(X_61))
| composition(one,complement(X_61)) != complement(X_61)
| composition(converse(one),complement(X_61)) = complement(X_61) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(converse(one),complement(X_61)))),bind(Y,$fot(composition(one,complement(X_61)))),bind(Z,$fot(complement(X_61)))]]) ).
cnf(refute_0_99,plain,
( composition(one,complement(X_61)) != complement(X_61)
| composition(converse(one),complement(X_61)) = complement(X_61) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_61)),composition(one,complement(X_61))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
composition(converse(one),complement(X_61)) = complement(X_61),
inference(resolve,[$cnf( $equal(composition(one,complement(X_61)),complement(X_61)) )],[refute_0_84,refute_0_99]) ).
cnf(refute_0_101,plain,
join(complement(X_61),composition(converse(one),complement(X_61))) = join(complement(X_61),composition(converse(one),complement(X_61))),
introduced(tautology,[refl,[$fot(join(complement(X_61),composition(converse(one),complement(X_61))))]]) ).
cnf(refute_0_102,plain,
( composition(converse(one),complement(X_61)) != complement(X_61)
| join(complement(X_61),composition(converse(one),complement(X_61))) != join(complement(X_61),composition(converse(one),complement(X_61)))
| join(complement(X_61),composition(converse(one),complement(X_61))) = join(complement(X_61),complement(X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_61),composition(converse(one),complement(X_61))),join(complement(X_61),composition(converse(one),complement(X_61)))) ),[1,1],$fot(complement(X_61))]]) ).
cnf(refute_0_103,plain,
( composition(converse(one),complement(X_61)) != complement(X_61)
| join(complement(X_61),composition(converse(one),complement(X_61))) = join(complement(X_61),complement(X_61)) ),
inference(resolve,[$cnf( $equal(join(complement(X_61),composition(converse(one),complement(X_61))),join(complement(X_61),composition(converse(one),complement(X_61)))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
join(complement(X_61),composition(converse(one),complement(X_61))) = join(complement(X_61),complement(X_61)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_61)),complement(X_61)) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
( join(complement(X_61),composition(converse(one),complement(X_61))) != complement(X_61)
| join(complement(X_61),composition(converse(one),complement(X_61))) != join(complement(X_61),complement(X_61))
| join(complement(X_61),complement(X_61)) = complement(X_61) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_61),composition(converse(one),complement(X_61))),complement(X_61)) ),[0],$fot(join(complement(X_61),complement(X_61)))]]) ).
cnf(refute_0_106,plain,
( join(complement(X_61),composition(converse(one),complement(X_61))) != complement(X_61)
| join(complement(X_61),complement(X_61)) = complement(X_61) ),
inference(resolve,[$cnf( $equal(join(complement(X_61),composition(converse(one),complement(X_61))),join(complement(X_61),complement(X_61))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
join(complement(X_61),complement(X_61)) = complement(X_61),
inference(resolve,[$cnf( $equal(join(complement(X_61),composition(converse(one),complement(X_61))),complement(X_61)) )],[refute_0_83,refute_0_106]) ).
cnf(refute_0_108,plain,
join(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))) = complement(join(complement(A),complement(B))),
inference(subst,[],[refute_0_107:[bind(X_61,$fot(join(complement(A),complement(B))))]]) ).
cnf(refute_0_109,plain,
( complement(join(complement(A),complement(B))) != meet(A,B)
| join(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))) != complement(join(complement(A),complement(B)))
| join(complement(join(complement(A),complement(B))),meet(A,B)) = complement(join(complement(A),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))),complement(join(complement(A),complement(B)))) ),[0,1],$fot(meet(A,B))]]) ).
cnf(refute_0_110,plain,
( join(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))) != complement(join(complement(A),complement(B)))
| join(complement(join(complement(A),complement(B))),meet(A,B)) = complement(join(complement(A),complement(B))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_29,refute_0_109]) ).
cnf(refute_0_111,plain,
join(complement(join(complement(A),complement(B))),meet(A,B)) = complement(join(complement(A),complement(B))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))),complement(join(complement(A),complement(B)))) )],[refute_0_108,refute_0_110]) ).
cnf(refute_0_112,plain,
join(meet(A,B),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),complement(B)))),
introduced(tautology,[refl,[$fot(join(meet(A,B),complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_113,plain,
( complement(join(complement(A),complement(B))) != meet(A,B)
| join(meet(A,B),complement(join(complement(A),complement(B)))) != join(meet(A,B),complement(join(complement(A),complement(B))))
| join(meet(A,B),complement(join(complement(A),complement(B)))) = join(meet(A,B),meet(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,B),complement(join(complement(A),complement(B)))),join(meet(A,B),complement(join(complement(A),complement(B))))) ),[1,1],$fot(meet(A,B))]]) ).
cnf(refute_0_114,plain,
( complement(join(complement(A),complement(B))) != meet(A,B)
| join(meet(A,B),complement(join(complement(A),complement(B)))) = join(meet(A,B),meet(A,B)) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),complement(join(complement(A),complement(B)))),join(meet(A,B),complement(join(complement(A),complement(B))))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
join(meet(A,B),complement(join(complement(A),complement(B)))) = join(meet(A,B),meet(A,B)),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_29,refute_0_114]) ).
cnf(refute_0_116,plain,
join(complement(join(complement(A),complement(B))),meet(A,B)) = join(meet(A,B),complement(join(complement(A),complement(B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(A,B))),bind(B,$fot(complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_117,plain,
( join(complement(join(complement(A),complement(B))),meet(A,B)) != join(meet(A,B),complement(join(complement(A),complement(B))))
| join(meet(A,B),complement(join(complement(A),complement(B)))) != join(meet(A,B),meet(A,B))
| join(complement(join(complement(A),complement(B))),meet(A,B)) = join(meet(A,B),meet(A,B)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(complement(A),complement(B))),meet(A,B)))),bind(Y,$fot(join(meet(A,B),complement(join(complement(A),complement(B)))))),bind(Z,$fot(join(meet(A,B),meet(A,B))))]]) ).
cnf(refute_0_118,plain,
( join(meet(A,B),complement(join(complement(A),complement(B)))) != join(meet(A,B),meet(A,B))
| join(complement(join(complement(A),complement(B))),meet(A,B)) = join(meet(A,B),meet(A,B)) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),complement(B))),meet(A,B)),join(meet(A,B),complement(join(complement(A),complement(B))))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
join(complement(join(complement(A),complement(B))),meet(A,B)) = join(meet(A,B),meet(A,B)),
inference(resolve,[$cnf( $equal(join(meet(A,B),complement(join(complement(A),complement(B)))),join(meet(A,B),meet(A,B))) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
( join(complement(join(complement(A),complement(B))),meet(A,B)) != complement(join(complement(A),complement(B)))
| join(complement(join(complement(A),complement(B))),meet(A,B)) != join(meet(A,B),meet(A,B))
| join(meet(A,B),meet(A,B)) = complement(join(complement(A),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(A),complement(B))),meet(A,B)),complement(join(complement(A),complement(B)))) ),[0],$fot(join(meet(A,B),meet(A,B)))]]) ).
cnf(refute_0_121,plain,
( join(complement(join(complement(A),complement(B))),meet(A,B)) != complement(join(complement(A),complement(B)))
| join(meet(A,B),meet(A,B)) = complement(join(complement(A),complement(B))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),complement(B))),meet(A,B)),join(meet(A,B),meet(A,B))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( complement(join(complement(A),complement(B))) != meet(A,B)
| join(meet(A,B),meet(A,B)) != complement(join(complement(A),complement(B)))
| join(meet(A,B),meet(A,B)) = meet(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,B),meet(A,B)),complement(join(complement(A),complement(B)))) ),[1],$fot(meet(A,B))]]) ).
cnf(refute_0_123,plain,
( join(meet(A,B),meet(A,B)) != complement(join(complement(A),complement(B)))
| join(meet(A,B),meet(A,B)) = meet(A,B) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_29,refute_0_122]) ).
cnf(refute_0_124,plain,
( join(complement(join(complement(A),complement(B))),meet(A,B)) != complement(join(complement(A),complement(B)))
| join(meet(A,B),meet(A,B)) = meet(A,B) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),meet(A,B)),complement(join(complement(A),complement(B)))) )],[refute_0_121,refute_0_123]) ).
cnf(refute_0_125,plain,
join(meet(A,B),meet(A,B)) = meet(A,B),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),complement(B))),meet(A,B)),complement(join(complement(A),complement(B)))) )],[refute_0_111,refute_0_124]) ).
cnf(refute_0_126,plain,
join(meet(complement(sk1),one),meet(complement(sk1),one)) = meet(complement(sk1),one),
inference(subst,[],[refute_0_125:[bind(A,$fot(complement(sk1))),bind(B,$fot(one))]]) ).
cnf(refute_0_127,plain,
( join(meet(complement(sk1),one),meet(complement(sk1),one)) != meet(complement(sk1),one)
| meet(complement(sk1),one) != meet(one,complement(sk1))
| join(meet(complement(sk1),one),meet(complement(sk1),one)) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(sk1),one),meet(complement(sk1),one)))),bind(Y,$fot(meet(complement(sk1),one))),bind(Z,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_128,plain,
( meet(complement(sk1),one) != meet(one,complement(sk1))
| join(meet(complement(sk1),one),meet(complement(sk1),one)) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),one),meet(complement(sk1),one)),meet(complement(sk1),one)) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
join(meet(complement(sk1),one),meet(complement(sk1),one)) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(complement(sk1),one),meet(one,complement(sk1))) )],[refute_0_39,refute_0_128]) ).
cnf(refute_0_130,plain,
( join(meet(complement(sk1),one),meet(complement(sk1),one)) != meet(one,complement(sk1))
| meet(one,complement(sk1)) != meet(complement(sk1),one)
| join(meet(complement(sk1),one),meet(complement(sk1),one)) = meet(complement(sk1),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(complement(sk1),one),meet(complement(sk1),one)),meet(complement(sk1),one)) ),[0],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_131,plain,
( meet(one,complement(sk1)) != meet(complement(sk1),one)
| join(meet(complement(sk1),one),meet(complement(sk1),one)) = meet(complement(sk1),one) ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),one),meet(complement(sk1),one)),meet(one,complement(sk1))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( meet(complement(sk1),one) != meet(one,complement(sk1))
| meet(one,complement(sk1)) != meet(one,complement(sk1))
| meet(one,complement(sk1)) = meet(complement(sk1),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(one,complement(sk1)),meet(complement(sk1),one)) ),[1],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_133,plain,
( meet(one,complement(sk1)) != meet(one,complement(sk1))
| meet(one,complement(sk1)) = meet(complement(sk1),one) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),one),meet(one,complement(sk1))) )],[refute_0_39,refute_0_132]) ).
cnf(refute_0_134,plain,
( meet(one,complement(sk1)) != meet(one,complement(sk1))
| join(meet(complement(sk1),one),meet(complement(sk1),one)) = meet(complement(sk1),one) ),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),meet(complement(sk1),one)) )],[refute_0_133,refute_0_131]) ).
cnf(refute_0_135,plain,
( meet(one,complement(composition(sk1,top))) != meet(one,complement(sk1))
| meet(one,complement(sk1)) != meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),one),meet(complement(sk1),one)),meet(complement(sk1),one)) )],[refute_0_134,refute_0_43]) ).
cnf(refute_0_136,plain,
meet(one,complement(sk1)) = meet(one,complement(sk1)),
introduced(tautology,[refl,[$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_137,plain,
meet(one,complement(composition(sk1,top))) != meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),meet(one,complement(sk1))) )],[refute_0_136,refute_0_135]) ).
cnf(refute_0_138,plain,
join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(complement(A),B)))),bind(B,$fot(complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_139,plain,
( A != join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))
| join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
| A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) ),
introduced(tautology,[equality,[$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_140,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( $equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(resolve,[$cnf( $equal(A,join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))) )],[maddux3_a_kind_of_de_Morgan_3,refute_0_140]) ).
cnf(refute_0_142,plain,
join(complement(join(complement(A),B)),meet(A,B)) = join(meet(A,B),complement(join(complement(A),B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(A,B))),bind(B,$fot(complement(join(complement(A),B))))]]) ).
cnf(refute_0_143,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_144,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_145,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( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),meet(A,B)),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_29,refute_0_145]) ).
cnf(refute_0_147,plain,
( join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) != join(complement(join(complement(A),B)),meet(A,B))
| join(complement(join(complement(A),B)),meet(A,B)) != join(meet(A,B),complement(join(complement(A),B)))
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),B))) ),
inference(subst,[],[refute_0_7:[bind(X,$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_148,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( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(complement(join(complement(A),B)),meet(A,B))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),B))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),meet(A,B)),join(meet(A,B),complement(join(complement(A),B)))) )],[refute_0_142,refute_0_148]) ).
cnf(refute_0_150,plain,
( A != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) != join(meet(A,B),complement(join(complement(A),B)))
| A = join(meet(A,B),complement(join(complement(A),B))) ),
introduced(tautology,[equality,[$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_151,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( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(meet(A,B),complement(join(complement(A),B)))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
A = join(meet(A,B),complement(join(complement(A),B))),
inference(resolve,[$cnf( $equal(A,join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_141,refute_0_151]) ).
cnf(refute_0_153,plain,
X_97 = join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(join(complement(X_97),join(complement(complement(X_97)),X_33)))),
inference(subst,[],[refute_0_152:[bind(A,$fot(X_97)),bind(B,$fot(join(complement(complement(X_97)),X_33)))]]) ).
cnf(refute_0_154,plain,
join(X_31,join(complement(X_31),X_33)) = join(join(X_31,complement(X_31)),X_33),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_31)),bind(B,$fot(complement(X_31))),bind(C,$fot(X_33))]]) ).
cnf(refute_0_155,plain,
top = join(X_31,complement(X_31)),
inference(subst,[],[def_top_12:[bind(A,$fot(X_31))]]) ).
cnf(refute_0_156,plain,
( top != join(X_31,complement(X_31))
| join(X_31,complement(X_31)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_31,complement(X_31))))]]) ).
cnf(refute_0_157,plain,
join(X_31,complement(X_31)) = top,
inference(resolve,[$cnf( $equal(top,join(X_31,complement(X_31))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
( join(X_31,complement(X_31)) != top
| join(X_31,join(complement(X_31),X_33)) != join(join(X_31,complement(X_31)),X_33)
| join(X_31,join(complement(X_31),X_33)) = join(top,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,join(complement(X_31),X_33)),join(join(X_31,complement(X_31)),X_33)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_159,plain,
( join(X_31,join(complement(X_31),X_33)) != join(join(X_31,complement(X_31)),X_33)
| join(X_31,join(complement(X_31),X_33)) = join(top,X_33) ),
inference(resolve,[$cnf( $equal(join(X_31,complement(X_31)),top) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
join(X_31,join(complement(X_31),X_33)) = join(top,X_33),
inference(resolve,[$cnf( $equal(join(X_31,join(complement(X_31),X_33)),join(join(X_31,complement(X_31)),X_33)) )],[refute_0_154,refute_0_159]) ).
cnf(refute_0_161,plain,
join(X_31,join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))) = join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_31)),bind(B,$fot(meet(top,join(zero,meet(top,top))))),bind(C,$fot(join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))))]]) ).
cnf(refute_0_162,plain,
top = join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7)))),
inference(subst,[],[def_top_12:[bind(A,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_163,plain,
( meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| complement(join(complement(X_6),complement(X_7))) = meet(X_6,X_7) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(complement(join(complement(X_6),complement(X_7)))))]]) ).
cnf(refute_0_164,plain,
complement(join(complement(X_6),complement(X_7))) = meet(X_6,X_7),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) )],[refute_0_21,refute_0_163]) ).
cnf(refute_0_165,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| top != join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) ),[1,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_166,plain,
( top != join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) )],[refute_0_162,refute_0_166]) ).
cnf(refute_0_168,plain,
( join(A,join(B,C)) != join(join(A,B),C)
| join(join(A,B),C) = join(A,join(B,C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(B,C)))),bind(Y,$fot(join(join(A,B),C)))]]) ).
cnf(refute_0_169,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(resolve,[$cnf( $equal(join(A,join(B,C)),join(join(A,B),C)) )],[maddux2_join_associativity_2,refute_0_168]) ).
cnf(refute_0_170,plain,
join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))),
inference(subst,[],[refute_0_169:[bind(A,$fot(complement(X_6))),bind(B,$fot(complement(X_7))),bind(C,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_171,plain,
( join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != join(complement(X_6),join(complement(X_7),meet(X_6,X_7)))
| top != join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) ),[1],$fot(join(complement(X_6),join(complement(X_7),meet(X_6,X_7))))]]) ).
cnf(refute_0_172,plain,
( top != join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),join(complement(X_6),join(complement(X_7),meet(X_6,X_7)))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) )],[refute_0_167,refute_0_172]) ).
cnf(refute_0_174,plain,
top = join(complement(X_22),join(complement(top),meet(X_22,top))),
inference(subst,[],[refute_0_173:[bind(X_6,$fot(X_22)),bind(X_7,$fot(top))]]) ).
cnf(refute_0_175,plain,
zero = meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7)))),
inference(subst,[],[def_zero_13:[bind(A,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_176,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| zero != meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) ),[1,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_177,plain,
( zero != meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_164,refute_0_176]) ).
cnf(refute_0_178,plain,
zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) )],[refute_0_175,refute_0_177]) ).
cnf(refute_0_179,plain,
( top != join(A,complement(A))
| join(A,complement(A)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(A,complement(A))))]]) ).
cnf(refute_0_180,plain,
join(A,complement(A)) = top,
inference(resolve,[$cnf( $equal(top,join(A,complement(A))) )],[def_top_12,refute_0_179]) ).
cnf(refute_0_181,plain,
join(meet(X_6,X_7),complement(meet(X_6,X_7))) = top,
inference(subst,[],[refute_0_180:[bind(A,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_182,plain,
complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))))]]) ).
cnf(refute_0_183,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))
| join(meet(X_6,X_7),complement(meet(X_6,X_7))) != top
| complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_184,plain,
( join(meet(X_6,X_7),complement(meet(X_6,X_7))) != top
| complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_6,X_7),complement(meet(X_6,X_7))),top) )],[refute_0_181,refute_0_184]) ).
cnf(refute_0_186,plain,
meet(join(complement(X_6),complement(X_7)),B) = complement(join(complement(join(complement(X_6),complement(X_7))),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_187,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| meet(join(complement(X_6),complement(X_7)),B) != complement(join(complement(join(complement(X_6),complement(X_7))),complement(B)))
| meet(join(complement(X_6),complement(X_7)),B) = complement(join(meet(X_6,X_7),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),B),complement(join(complement(join(complement(X_6),complement(X_7))),complement(B)))) ),[1,0,0],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_188,plain,
( meet(join(complement(X_6),complement(X_7)),B) != complement(join(complement(join(complement(X_6),complement(X_7))),complement(B)))
| meet(join(complement(X_6),complement(X_7)),B) = complement(join(meet(X_6,X_7),complement(B))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_164,refute_0_187]) ).
cnf(refute_0_189,plain,
meet(join(complement(X_6),complement(X_7)),B) = complement(join(meet(X_6,X_7),complement(B))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),B),complement(join(complement(join(complement(X_6),complement(X_7))),complement(B)))) )],[refute_0_186,refute_0_188]) ).
cnf(refute_0_190,plain,
meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),
inference(subst,[],[refute_0_189:[bind(B,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_191,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(top)
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)))),bind(Y,$fot(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_192,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(top)
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(top)) )],[refute_0_185,refute_0_192]) ).
cnf(refute_0_194,plain,
( meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != complement(top)
| zero != meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_195,plain,
( zero != meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),complement(top)) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) )],[refute_0_178,refute_0_195]) ).
cnf(refute_0_197,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_198,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
( complement(top) != zero
| top != join(complement(X_22),join(complement(top),meet(X_22,top)))
| top = join(complement(X_22),join(zero,meet(X_22,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_22),join(complement(top),meet(X_22,top)))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_200,plain,
( top != join(complement(X_22),join(complement(top),meet(X_22,top)))
| top = join(complement(X_22),join(zero,meet(X_22,top))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
top = join(complement(X_22),join(zero,meet(X_22,top))),
inference(resolve,[$cnf( $equal(top,join(complement(X_22),join(complement(top),meet(X_22,top)))) )],[refute_0_174,refute_0_200]) ).
cnf(refute_0_202,plain,
top = join(complement(join(zero,meet(top,join(zero,zero)))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))),
inference(subst,[],[refute_0_201:[bind(X_22,$fot(join(zero,meet(top,join(zero,zero)))))]]) ).
cnf(refute_0_203,plain,
meet(top,B) = complement(join(complement(top),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(top))]]) ).
cnf(refute_0_204,plain,
( complement(top) != zero
| meet(top,B) != complement(join(complement(top),complement(B)))
| meet(top,B) = complement(join(zero,complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_205,plain,
( meet(top,B) != complement(join(complement(top),complement(B)))
| meet(top,B) = complement(join(zero,complement(B))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_204]) ).
cnf(refute_0_206,plain,
meet(top,B) = complement(join(zero,complement(B))),
inference(resolve,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) )],[refute_0_203,refute_0_205]) ).
cnf(refute_0_207,plain,
meet(top,join(zero,meet(top,top))) = complement(join(zero,complement(join(zero,meet(top,top))))),
inference(subst,[],[refute_0_206:[bind(B,$fot(join(zero,meet(top,top))))]]) ).
cnf(refute_0_208,plain,
meet(top,join(zero,zero)) = complement(join(zero,complement(join(zero,zero)))),
inference(subst,[],[refute_0_206:[bind(B,$fot(join(zero,zero)))]]) ).
cnf(refute_0_209,plain,
meet(top,top) = complement(join(zero,complement(top))),
inference(subst,[],[refute_0_206:[bind(B,$fot(top))]]) ).
cnf(refute_0_210,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_211,plain,
( meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_210]) ).
cnf(refute_0_212,plain,
meet(top,top) = complement(join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) )],[refute_0_209,refute_0_211]) ).
cnf(refute_0_213,plain,
( meet(top,top) != complement(join(zero,zero))
| complement(join(zero,zero)) = meet(top,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(join(zero,zero))))]]) ).
cnf(refute_0_214,plain,
complement(join(zero,zero)) = meet(top,top),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
( complement(join(zero,zero)) != meet(top,top)
| meet(top,join(zero,zero)) != complement(join(zero,complement(join(zero,zero))))
| meet(top,join(zero,zero)) = complement(join(zero,meet(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,complement(join(zero,zero))))) ),[1,0,1],$fot(meet(top,top))]]) ).
cnf(refute_0_216,plain,
( meet(top,join(zero,zero)) != complement(join(zero,complement(join(zero,zero))))
| meet(top,join(zero,zero)) = complement(join(zero,meet(top,top))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
meet(top,join(zero,zero)) = complement(join(zero,meet(top,top))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,complement(join(zero,zero))))) )],[refute_0_208,refute_0_216]) ).
cnf(refute_0_218,plain,
( meet(top,join(zero,zero)) != complement(join(zero,meet(top,top)))
| complement(join(zero,meet(top,top))) = meet(top,join(zero,zero)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,join(zero,zero)))),bind(Y,$fot(complement(join(zero,meet(top,top)))))]]) ).
cnf(refute_0_219,plain,
complement(join(zero,meet(top,top))) = meet(top,join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,meet(top,top)))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
( complement(join(zero,meet(top,top))) != meet(top,join(zero,zero))
| meet(top,join(zero,meet(top,top))) != complement(join(zero,complement(join(zero,meet(top,top)))))
| meet(top,join(zero,meet(top,top))) = complement(join(zero,meet(top,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,meet(top,top))),complement(join(zero,complement(join(zero,meet(top,top)))))) ),[1,0,1],$fot(meet(top,join(zero,zero)))]]) ).
cnf(refute_0_221,plain,
( meet(top,join(zero,meet(top,top))) != complement(join(zero,complement(join(zero,meet(top,top)))))
| meet(top,join(zero,meet(top,top))) = complement(join(zero,meet(top,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,top))),meet(top,join(zero,zero))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
meet(top,join(zero,meet(top,top))) = complement(join(zero,meet(top,join(zero,zero)))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,top))),complement(join(zero,complement(join(zero,meet(top,top)))))) )],[refute_0_207,refute_0_221]) ).
cnf(refute_0_223,plain,
( meet(top,join(zero,meet(top,top))) != complement(join(zero,meet(top,join(zero,zero))))
| complement(join(zero,meet(top,join(zero,zero)))) = meet(top,join(zero,meet(top,top))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,join(zero,meet(top,top))))),bind(Y,$fot(complement(join(zero,meet(top,join(zero,zero))))))]]) ).
cnf(refute_0_224,plain,
complement(join(zero,meet(top,join(zero,zero)))) = meet(top,join(zero,meet(top,top))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,top))),complement(join(zero,meet(top,join(zero,zero))))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
( complement(join(zero,meet(top,join(zero,zero)))) != meet(top,join(zero,meet(top,top)))
| top != join(complement(join(zero,meet(top,join(zero,zero)))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top)))
| top = join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(zero,meet(top,join(zero,zero)))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top)))) ),[1,0],$fot(meet(top,join(zero,meet(top,top))))]]) ).
cnf(refute_0_226,plain,
( top != join(complement(join(zero,meet(top,join(zero,zero)))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top)))
| top = join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,join(zero,zero)))),meet(top,join(zero,meet(top,top)))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
top = join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))),
inference(resolve,[$cnf( $equal(top,join(complement(join(zero,meet(top,join(zero,zero)))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top)))) )],[refute_0_202,refute_0_226]) ).
cnf(refute_0_228,plain,
meet(A,top) = complement(join(complement(A),complement(top))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(top))]]) ).
cnf(refute_0_229,plain,
( complement(top) != zero
| meet(A,top) != complement(join(complement(A),complement(top)))
| meet(A,top) = complement(join(complement(A),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,top),complement(join(complement(A),complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_230,plain,
( meet(A,top) != complement(join(complement(A),complement(top)))
| meet(A,top) = complement(join(complement(A),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_229]) ).
cnf(refute_0_231,plain,
meet(A,top) = complement(join(complement(A),zero)),
inference(resolve,[$cnf( $equal(meet(A,top),complement(join(complement(A),complement(top)))) )],[refute_0_228,refute_0_230]) ).
cnf(refute_0_232,plain,
( meet(top,B) != complement(join(zero,complement(B)))
| complement(join(zero,complement(B))) = meet(top,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,B))),bind(Y,$fot(complement(join(zero,complement(B)))))]]) ).
cnf(refute_0_233,plain,
complement(join(zero,complement(B))) = meet(top,B),
inference(resolve,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) )],[refute_0_206,refute_0_232]) ).
cnf(refute_0_234,plain,
complement(join(zero,complement(A))) = meet(top,A),
inference(subst,[],[refute_0_233:[bind(B,$fot(A))]]) ).
cnf(refute_0_235,plain,
join(complement(A),zero) = join(zero,complement(A)),
inference(subst,[],[refute_0_4:[bind(A,$fot(zero)),bind(B,$fot(complement(A)))]]) ).
cnf(refute_0_236,plain,
complement(join(complement(A),zero)) = complement(join(complement(A),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(A),zero)))]]) ).
cnf(refute_0_237,plain,
( complement(join(complement(A),zero)) != complement(join(complement(A),zero))
| join(complement(A),zero) != join(zero,complement(A))
| complement(join(complement(A),zero)) = complement(join(zero,complement(A))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(A),zero)),complement(join(complement(A),zero))) ),[1,0],$fot(join(zero,complement(A)))]]) ).
cnf(refute_0_238,plain,
( join(complement(A),zero) != join(zero,complement(A))
| complement(join(complement(A),zero)) = complement(join(zero,complement(A))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),zero)),complement(join(complement(A),zero))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
complement(join(complement(A),zero)) = complement(join(zero,complement(A))),
inference(resolve,[$cnf( $equal(join(complement(A),zero),join(zero,complement(A))) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
( complement(join(complement(A),zero)) != complement(join(zero,complement(A)))
| complement(join(zero,complement(A))) != meet(top,A)
| complement(join(complement(A),zero)) = meet(top,A) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(complement(A),zero)))),bind(Y,$fot(complement(join(zero,complement(A))))),bind(Z,$fot(meet(top,A)))]]) ).
cnf(refute_0_241,plain,
( complement(join(zero,complement(A))) != meet(top,A)
| complement(join(complement(A),zero)) = meet(top,A) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),zero)),complement(join(zero,complement(A)))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
complement(join(complement(A),zero)) = meet(top,A),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(A))),meet(top,A)) )],[refute_0_234,refute_0_241]) ).
cnf(refute_0_243,plain,
( complement(join(complement(A),zero)) != meet(top,A)
| meet(A,top) != complement(join(complement(A),zero))
| meet(A,top) = meet(top,A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,top),complement(join(complement(A),zero))) ),[1],$fot(meet(top,A))]]) ).
cnf(refute_0_244,plain,
( meet(A,top) != complement(join(complement(A),zero))
| meet(A,top) = meet(top,A) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),zero)),meet(top,A)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
meet(A,top) = meet(top,A),
inference(resolve,[$cnf( $equal(meet(A,top),complement(join(complement(A),zero))) )],[refute_0_231,refute_0_244]) ).
cnf(refute_0_246,plain,
meet(join(zero,meet(top,join(zero,zero))),top) = meet(top,join(zero,meet(top,join(zero,zero)))),
inference(subst,[],[refute_0_245:[bind(A,$fot(join(zero,meet(top,join(zero,zero)))))]]) ).
cnf(refute_0_247,plain,
join(zero,meet(join(zero,meet(top,join(zero,zero))),top)) = join(zero,meet(join(zero,meet(top,join(zero,zero))),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,meet(top,join(zero,zero))),top)))]]) ).
cnf(refute_0_248,plain,
( join(zero,meet(join(zero,meet(top,join(zero,zero))),top)) != join(zero,meet(join(zero,meet(top,join(zero,zero))),top))
| meet(join(zero,meet(top,join(zero,zero))),top) != meet(top,join(zero,meet(top,join(zero,zero))))
| join(zero,meet(join(zero,meet(top,join(zero,zero))),top)) = join(zero,meet(top,join(zero,meet(top,join(zero,zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,meet(top,join(zero,zero))),top)),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))) ),[1,1],$fot(meet(top,join(zero,meet(top,join(zero,zero)))))]]) ).
cnf(refute_0_249,plain,
( meet(join(zero,meet(top,join(zero,zero))),top) != meet(top,join(zero,meet(top,join(zero,zero))))
| join(zero,meet(join(zero,meet(top,join(zero,zero))),top)) = join(zero,meet(top,join(zero,meet(top,join(zero,zero))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,meet(top,join(zero,zero))),top)),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
join(zero,meet(join(zero,meet(top,join(zero,zero))),top)) = join(zero,meet(top,join(zero,meet(top,join(zero,zero))))),
inference(resolve,[$cnf( $equal(meet(join(zero,meet(top,join(zero,zero))),top),meet(top,join(zero,meet(top,join(zero,zero))))) )],[refute_0_246,refute_0_249]) ).
cnf(refute_0_251,plain,
join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))) = join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))),
introduced(tautology,[refl,[$fot(join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))))]]) ).
cnf(refute_0_252,plain,
( join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))) != join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top)))
| join(zero,meet(join(zero,meet(top,join(zero,zero))),top)) != join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))
| join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))) = join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))),join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top)))) ),[1,1],$fot(join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))]]) ).
cnf(refute_0_253,plain,
( join(zero,meet(join(zero,meet(top,join(zero,zero))),top)) != join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))
| join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))) = join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))),join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top)))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))) = join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,meet(top,join(zero,zero))),top)),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) )],[refute_0_250,refute_0_253]) ).
cnf(refute_0_255,plain,
( join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))) != join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))
| top != join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top)))
| top = join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top)))) ),[1],$fot(join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))))]]) ).
cnf(refute_0_256,plain,
( top != join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top)))
| top = join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top))),join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
top = join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))),
inference(resolve,[$cnf( $equal(top,join(meet(top,join(zero,meet(top,top))),join(zero,meet(join(zero,meet(top,join(zero,zero))),top)))) )],[refute_0_227,refute_0_256]) ).
cnf(refute_0_258,plain,
( top != join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))
| join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))))]]) ).
cnf(refute_0_259,plain,
join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
( join(X_31,join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))) != join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))
| join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) != top
| join(X_31,top) = join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))),join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_261,plain,
( join(X_31,join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))) != join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))
| join(X_31,top) = join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))),top) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
join(X_31,top) = join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))),
inference(resolve,[$cnf( $equal(join(X_31,join(meet(top,join(zero,meet(top,top))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))),join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))) )],[refute_0_161,refute_0_261]) ).
cnf(refute_0_263,plain,
join(A,join(X_31,X_32)) = join(join(X_31,X_32),A),
inference(subst,[],[maddux1_join_commutativity_1:[bind(B,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_264,plain,
join(X_31,join(X_32,A)) = join(join(X_31,X_32),A),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_31)),bind(B,$fot(X_32)),bind(C,$fot(A))]]) ).
cnf(refute_0_265,plain,
( join(X_31,join(X_32,A)) != join(join(X_31,X_32),A)
| join(join(X_31,X_32),A) = join(X_31,join(X_32,A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_31,join(X_32,A)))),bind(Y,$fot(join(join(X_31,X_32),A)))]]) ).
cnf(refute_0_266,plain,
join(join(X_31,X_32),A) = join(X_31,join(X_32,A)),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,A)),join(join(X_31,X_32),A)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
( join(A,join(X_31,X_32)) != join(join(X_31,X_32),A)
| join(join(X_31,X_32),A) != join(X_31,join(X_32,A))
| join(A,join(X_31,X_32)) = join(X_31,join(X_32,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(X_31,X_32)),join(X_31,join(X_32,A))) ),[0],$fot(join(join(X_31,X_32),A))]]) ).
cnf(refute_0_268,plain,
( join(A,join(X_31,X_32)) != join(join(X_31,X_32),A)
| join(A,join(X_31,X_32)) = join(X_31,join(X_32,A)) ),
inference(resolve,[$cnf( $equal(join(join(X_31,X_32),A),join(X_31,join(X_32,A))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
join(A,join(X_31,X_32)) = join(X_31,join(X_32,A)),
inference(resolve,[$cnf( $equal(join(A,join(X_31,X_32)),join(join(X_31,X_32),A)) )],[refute_0_263,refute_0_268]) ).
cnf(refute_0_270,plain,
( join(A,join(X_31,X_32)) != join(X_31,join(X_32,A))
| join(X_31,join(X_32,A)) = join(A,join(X_31,X_32)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(X_31,X_32)))),bind(Y,$fot(join(X_31,join(X_32,A))))]]) ).
cnf(refute_0_271,plain,
join(X_31,join(X_32,A)) = join(A,join(X_31,X_32)),
inference(resolve,[$cnf( $equal(join(A,join(X_31,X_32)),join(X_31,join(X_32,A))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top))))) = join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)),
inference(subst,[],[refute_0_271:[bind(A,$fot(meet(top,join(zero,meet(top,top))))),bind(X_31,$fot(meet(top,join(zero,meet(top,join(zero,zero)))))),bind(X_32,$fot(X_31))]]) ).
cnf(refute_0_273,plain,
join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))) = join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))),
introduced(tautology,[refl,[$fot(join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))))]]) ).
cnf(refute_0_274,plain,
( join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top))))) != join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))
| join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))) != join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top))))))
| join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))) = join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))),join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top))))))) ),[1,1],$fot(join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))]]) ).
cnf(refute_0_275,plain,
( join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top))))) != join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))
| join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))) = join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))),join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top))))))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))) = join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top))))),join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) )],[refute_0_272,refute_0_275]) ).
cnf(refute_0_277,plain,
join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) = join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))),
inference(subst,[],[refute_0_269:[bind(A,$fot(join(X_31,meet(top,join(zero,meet(top,top)))))),bind(X_31,$fot(zero)),bind(X_32,$fot(meet(top,join(zero,meet(top,join(zero,zero))))))]]) ).
cnf(refute_0_278,plain,
( join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) != join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top))))))
| join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))) != join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))
| join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) = join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))))),bind(Y,$fot(join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))))),bind(Z,$fot(join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))))]]) ).
cnf(refute_0_279,plain,
( join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))) != join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))
| join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) = join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) ),
inference(resolve,[$cnf( $equal(join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))),join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top))))))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) = join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,meet(top,join(zero,zero)))),join(X_31,meet(top,join(zero,meet(top,top)))))),join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))) )],[refute_0_276,refute_0_279]) ).
cnf(refute_0_281,plain,
( join(X_31,top) != join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))
| join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))) != join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))
| join(X_31,top) = join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_31,top),join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))) ),[0],$fot(join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))))]]) ).
cnf(refute_0_282,plain,
( join(X_31,top) != join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))
| join(X_31,top) = join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) ),
inference(resolve,[$cnf( $equal(join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero)))))),join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
join(X_31,top) = join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))),
inference(resolve,[$cnf( $equal(join(X_31,top),join(join(X_31,meet(top,join(zero,meet(top,top)))),join(zero,meet(top,join(zero,meet(top,join(zero,zero))))))) )],[refute_0_262,refute_0_282]) ).
cnf(refute_0_284,plain,
join(X_39,join(complement(X_39),complement(complement(X_39)))) = join(top,complement(complement(X_39))),
inference(subst,[],[refute_0_160:[bind(X_31,$fot(X_39)),bind(X_33,$fot(complement(complement(X_39))))]]) ).
cnf(refute_0_285,plain,
top = join(complement(X_39),complement(complement(X_39))),
inference(subst,[],[def_top_12:[bind(A,$fot(complement(X_39)))]]) ).
cnf(refute_0_286,plain,
( top != join(complement(X_39),complement(complement(X_39)))
| join(complement(X_39),complement(complement(X_39))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_39),complement(complement(X_39)))))]]) ).
cnf(refute_0_287,plain,
join(complement(X_39),complement(complement(X_39))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_39),complement(complement(X_39)))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
( join(X_39,join(complement(X_39),complement(complement(X_39)))) != join(top,complement(complement(X_39)))
| join(complement(X_39),complement(complement(X_39))) != top
| join(X_39,top) = join(top,complement(complement(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,join(complement(X_39),complement(complement(X_39)))),join(top,complement(complement(X_39)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_289,plain,
( join(X_39,join(complement(X_39),complement(complement(X_39)))) != join(top,complement(complement(X_39)))
| join(X_39,top) = join(top,complement(complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),complement(complement(X_39))),top) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
join(X_39,top) = join(top,complement(complement(X_39))),
inference(resolve,[$cnf( $equal(join(X_39,join(complement(X_39),complement(complement(X_39)))),join(top,complement(complement(X_39)))) )],[refute_0_284,refute_0_289]) ).
cnf(refute_0_291,plain,
top = join(join(X_31,X_32),complement(join(X_31,X_32))),
inference(subst,[],[def_top_12:[bind(A,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_292,plain,
join(X_31,join(X_32,complement(join(X_31,X_32)))) = join(join(X_31,X_32),complement(join(X_31,X_32))),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_31)),bind(B,$fot(X_32)),bind(C,$fot(complement(join(X_31,X_32))))]]) ).
cnf(refute_0_293,plain,
( join(X_31,join(X_32,complement(join(X_31,X_32)))) != join(join(X_31,X_32),complement(join(X_31,X_32)))
| join(join(X_31,X_32),complement(join(X_31,X_32))) = join(X_31,join(X_32,complement(join(X_31,X_32)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_31,join(X_32,complement(join(X_31,X_32)))))),bind(Y,$fot(join(join(X_31,X_32),complement(join(X_31,X_32)))))]]) ).
cnf(refute_0_294,plain,
join(join(X_31,X_32),complement(join(X_31,X_32))) = join(X_31,join(X_32,complement(join(X_31,X_32)))),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,complement(join(X_31,X_32)))),join(join(X_31,X_32),complement(join(X_31,X_32)))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
( join(join(X_31,X_32),complement(join(X_31,X_32))) != join(X_31,join(X_32,complement(join(X_31,X_32))))
| top != join(join(X_31,X_32),complement(join(X_31,X_32)))
| top = join(X_31,join(X_32,complement(join(X_31,X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_31,X_32),complement(join(X_31,X_32)))) ),[1],$fot(join(X_31,join(X_32,complement(join(X_31,X_32)))))]]) ).
cnf(refute_0_296,plain,
( top != join(join(X_31,X_32),complement(join(X_31,X_32)))
| top = join(X_31,join(X_32,complement(join(X_31,X_32)))) ),
inference(resolve,[$cnf( $equal(join(join(X_31,X_32),complement(join(X_31,X_32))),join(X_31,join(X_32,complement(join(X_31,X_32))))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
top = join(X_31,join(X_32,complement(join(X_31,X_32)))),
inference(resolve,[$cnf( $equal(top,join(join(X_31,X_32),complement(join(X_31,X_32)))) )],[refute_0_291,refute_0_296]) ).
cnf(refute_0_298,plain,
top = join(complement(X_62),join(complement(X_62),complement(join(complement(X_62),complement(X_62))))),
inference(subst,[],[refute_0_297:[bind(X_31,$fot(complement(X_62))),bind(X_32,$fot(complement(X_62)))]]) ).
cnf(refute_0_299,plain,
join(complement(X_62),complement(X_62)) = complement(X_62),
inference(subst,[],[refute_0_107:[bind(X_61,$fot(X_62))]]) ).
cnf(refute_0_300,plain,
( join(complement(X_62),complement(X_62)) != complement(X_62)
| top != join(complement(X_62),join(complement(X_62),complement(join(complement(X_62),complement(X_62)))))
| top = join(complement(X_62),join(complement(X_62),complement(complement(X_62)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_62),join(complement(X_62),complement(join(complement(X_62),complement(X_62)))))) ),[1,1,1,0],$fot(complement(X_62))]]) ).
cnf(refute_0_301,plain,
( top != join(complement(X_62),join(complement(X_62),complement(join(complement(X_62),complement(X_62)))))
| top = join(complement(X_62),join(complement(X_62),complement(complement(X_62)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_62),complement(X_62)),complement(X_62)) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
top = join(complement(X_62),join(complement(X_62),complement(complement(X_62)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_62),join(complement(X_62),complement(join(complement(X_62),complement(X_62)))))) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
join(X_39,join(complement(X_39),X_40)) = join(top,X_40),
inference(subst,[],[refute_0_160:[bind(X_31,$fot(X_39)),bind(X_33,$fot(X_40))]]) ).
cnf(refute_0_304,plain,
join(X_40,complement(X_39)) = join(complement(X_39),X_40),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_40)),bind(B,$fot(complement(X_39)))]]) ).
cnf(refute_0_305,plain,
( join(X_40,complement(X_39)) != join(complement(X_39),X_40)
| join(complement(X_39),X_40) = join(X_40,complement(X_39)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_40,complement(X_39)))),bind(Y,$fot(join(complement(X_39),X_40)))]]) ).
cnf(refute_0_306,plain,
join(complement(X_39),X_40) = join(X_40,complement(X_39)),
inference(resolve,[$cnf( $equal(join(X_40,complement(X_39)),join(complement(X_39),X_40)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
( join(X_39,join(complement(X_39),X_40)) != join(top,X_40)
| join(complement(X_39),X_40) != join(X_40,complement(X_39))
| join(X_39,join(X_40,complement(X_39))) = join(top,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,join(complement(X_39),X_40)),join(top,X_40)) ),[0,1],$fot(join(X_40,complement(X_39)))]]) ).
cnf(refute_0_308,plain,
( join(X_39,join(complement(X_39),X_40)) != join(top,X_40)
| join(X_39,join(X_40,complement(X_39))) = join(top,X_40) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),X_40),join(X_40,complement(X_39))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
join(X_39,join(X_40,complement(X_39))) = join(top,X_40),
inference(resolve,[$cnf( $equal(join(X_39,join(complement(X_39),X_40)),join(top,X_40)) )],[refute_0_303,refute_0_308]) ).
cnf(refute_0_310,plain,
join(complement(X_62),join(complement(X_62),complement(complement(X_62)))) = join(top,complement(X_62)),
inference(subst,[],[refute_0_309:[bind(X_39,$fot(complement(X_62))),bind(X_40,$fot(complement(X_62)))]]) ).
cnf(refute_0_311,plain,
( join(complement(X_62),join(complement(X_62),complement(complement(X_62)))) != join(top,complement(X_62))
| top != join(complement(X_62),join(complement(X_62),complement(complement(X_62))))
| top = join(top,complement(X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_62),join(complement(X_62),complement(complement(X_62))))) ),[1],$fot(join(top,complement(X_62)))]]) ).
cnf(refute_0_312,plain,
( top != join(complement(X_62),join(complement(X_62),complement(complement(X_62))))
| top = join(top,complement(X_62)) ),
inference(resolve,[$cnf( $equal(join(complement(X_62),join(complement(X_62),complement(complement(X_62)))),join(top,complement(X_62))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
top = join(top,complement(X_62)),
inference(resolve,[$cnf( $equal(top,join(complement(X_62),join(complement(X_62),complement(complement(X_62))))) )],[refute_0_302,refute_0_312]) ).
cnf(refute_0_314,plain,
( top != join(top,complement(X_62))
| join(top,complement(X_62)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_62))))]]) ).
cnf(refute_0_315,plain,
join(top,complement(X_62)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_62))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
join(top,complement(complement(X_39))) = top,
inference(subst,[],[refute_0_315:[bind(X_62,$fot(complement(X_39)))]]) ).
cnf(refute_0_317,plain,
( join(X_39,top) != join(top,complement(complement(X_39)))
| join(top,complement(complement(X_39))) != top
| join(X_39,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_39,top),top) ),[0],$fot(join(top,complement(complement(X_39))))]]) ).
cnf(refute_0_318,plain,
( join(X_39,top) != join(top,complement(complement(X_39)))
| join(X_39,top) = top ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(X_39))),top) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
join(X_39,top) = top,
inference(resolve,[$cnf( $equal(join(X_39,top),join(top,complement(complement(X_39)))) )],[refute_0_290,refute_0_318]) ).
cnf(refute_0_320,plain,
join(X_31,top) = top,
inference(subst,[],[refute_0_319:[bind(X_39,$fot(X_31))]]) ).
cnf(refute_0_321,plain,
( join(X_31,top) != join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))
| join(X_31,top) != top
| top = join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,top),join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))) ),[0],$fot(top)]]) ).
cnf(refute_0_322,plain,
( join(X_31,top) != join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))
| top = join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) ),
inference(resolve,[$cnf( $equal(join(X_31,top),top) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
join(top,join(zero,X_33)) = join(join(top,zero),X_33),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(top)),bind(B,$fot(zero)),bind(C,$fot(X_33))]]) ).
cnf(refute_0_324,plain,
top = join(top,complement(top)),
inference(subst,[],[def_top_12:[bind(A,$fot(top))]]) ).
cnf(refute_0_325,plain,
( complement(top) != zero
| top != join(top,complement(top))
| top = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_326,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_325]) ).
cnf(refute_0_327,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_324,refute_0_326]) ).
cnf(refute_0_328,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_0_329,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
( join(top,join(zero,X_33)) != join(join(top,zero),X_33)
| join(top,zero) != top
| join(top,join(zero,X_33)) = join(top,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_33)),join(join(top,zero),X_33)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_331,plain,
( join(top,join(zero,X_33)) != join(join(top,zero),X_33)
| join(top,join(zero,X_33)) = join(top,X_33) ),
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
join(top,join(zero,X_33)) = join(top,X_33),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_33)),join(join(top,zero),X_33)) )],[refute_0_323,refute_0_331]) ).
cnf(refute_0_333,plain,
join(top,join(zero,X_31)) = join(top,X_31),
inference(subst,[],[refute_0_332:[bind(X_33,$fot(X_31))]]) ).
cnf(refute_0_334,plain,
join(X_31,join(X_32,X_33)) = join(join(X_31,X_32),X_33),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_31)),bind(B,$fot(X_32)),bind(C,$fot(X_33))]]) ).
cnf(refute_0_335,plain,
join(X_32,X_31) = join(X_31,X_32),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_32)),bind(B,$fot(X_31))]]) ).
cnf(refute_0_336,plain,
( join(X_32,X_31) != join(X_31,X_32)
| join(X_31,X_32) = join(X_32,X_31) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_32,X_31))),bind(Y,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_337,plain,
join(X_31,X_32) = join(X_32,X_31),
inference(resolve,[$cnf( $equal(join(X_32,X_31),join(X_31,X_32)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
( join(X_31,X_32) != join(X_32,X_31)
| join(X_31,join(X_32,X_33)) != join(join(X_31,X_32),X_33)
| join(X_31,join(X_32,X_33)) = join(join(X_32,X_31),X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,join(X_32,X_33)),join(join(X_31,X_32),X_33)) ),[1,0],$fot(join(X_32,X_31))]]) ).
cnf(refute_0_339,plain,
( join(X_31,join(X_32,X_33)) != join(join(X_31,X_32),X_33)
| join(X_31,join(X_32,X_33)) = join(join(X_32,X_31),X_33) ),
inference(resolve,[$cnf( $equal(join(X_31,X_32),join(X_32,X_31)) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
join(X_31,join(X_32,X_33)) = join(join(X_32,X_31),X_33),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,X_33)),join(join(X_31,X_32),X_33)) )],[refute_0_334,refute_0_339]) ).
cnf(refute_0_341,plain,
join(join(X_32,X_31),X_33) = join(X_32,join(X_31,X_33)),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_32)),bind(B,$fot(X_31)),bind(C,$fot(X_33))]]) ).
cnf(refute_0_342,plain,
( join(X_31,join(X_32,X_33)) != join(join(X_32,X_31),X_33)
| join(join(X_32,X_31),X_33) != join(X_32,join(X_31,X_33))
| join(X_31,join(X_32,X_33)) = join(X_32,join(X_31,X_33)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_31,join(X_32,X_33)),join(X_32,join(X_31,X_33))) ),[0],$fot(join(join(X_32,X_31),X_33))]]) ).
cnf(refute_0_343,plain,
( join(X_31,join(X_32,X_33)) != join(join(X_32,X_31),X_33)
| join(X_31,join(X_32,X_33)) = join(X_32,join(X_31,X_33)) ),
inference(resolve,[$cnf( $equal(join(join(X_32,X_31),X_33),join(X_32,join(X_31,X_33))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
join(X_31,join(X_32,X_33)) = join(X_32,join(X_31,X_33)),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,X_33)),join(join(X_32,X_31),X_33)) )],[refute_0_340,refute_0_343]) ).
cnf(refute_0_345,plain,
( join(X_31,join(X_32,X_33)) != join(X_32,join(X_31,X_33))
| join(X_32,join(X_31,X_33)) = join(X_31,join(X_32,X_33)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_31,join(X_32,X_33)))),bind(Y,$fot(join(X_32,join(X_31,X_33))))]]) ).
cnf(refute_0_346,plain,
join(X_32,join(X_31,X_33)) = join(X_31,join(X_32,X_33)),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,X_33)),join(X_32,join(X_31,X_33))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
join(zero,join(top,X_31)) = join(top,join(zero,X_31)),
inference(subst,[],[refute_0_346:[bind(X_31,$fot(top)),bind(X_32,$fot(zero)),bind(X_33,$fot(X_31))]]) ).
cnf(refute_0_348,plain,
( join(top,join(zero,X_31)) != join(top,X_31)
| join(zero,join(top,X_31)) != join(top,join(zero,X_31))
| join(zero,join(top,X_31)) = join(top,X_31) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,join(top,X_31)))),bind(Y,$fot(join(top,join(zero,X_31)))),bind(Z,$fot(join(top,X_31)))]]) ).
cnf(refute_0_349,plain,
( join(top,join(zero,X_31)) != join(top,X_31)
| join(zero,join(top,X_31)) = join(top,X_31) ),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_31)),join(top,join(zero,X_31))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
join(zero,join(top,X_31)) = join(top,X_31),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_31)),join(top,X_31)) )],[refute_0_333,refute_0_349]) ).
cnf(refute_0_351,plain,
join(zero,join(complement(zero),X_31)) = join(top,X_31),
inference(subst,[],[refute_0_160:[bind(X_31,$fot(zero)),bind(X_33,$fot(X_31))]]) ).
cnf(refute_0_352,plain,
join(complement(zero),join(zero,X_31)) = join(zero,join(complement(zero),X_31)),
inference(subst,[],[refute_0_346:[bind(X_31,$fot(zero)),bind(X_32,$fot(complement(zero))),bind(X_33,$fot(X_31))]]) ).
cnf(refute_0_353,plain,
( join(complement(zero),join(zero,X_31)) != join(zero,join(complement(zero),X_31))
| join(zero,join(complement(zero),X_31)) != join(top,X_31)
| join(complement(zero),join(zero,X_31)) = join(top,X_31) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(zero),join(zero,X_31)))),bind(Y,$fot(join(zero,join(complement(zero),X_31)))),bind(Z,$fot(join(top,X_31)))]]) ).
cnf(refute_0_354,plain,
( join(zero,join(complement(zero),X_31)) != join(top,X_31)
| join(complement(zero),join(zero,X_31)) = join(top,X_31) ),
inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,X_31)),join(zero,join(complement(zero),X_31))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
join(complement(zero),join(zero,X_31)) = join(top,X_31),
inference(resolve,[$cnf( $equal(join(zero,join(complement(zero),X_31)),join(top,X_31)) )],[refute_0_351,refute_0_354]) ).
cnf(refute_0_356,plain,
zero = meet(top,complement(top)),
inference(subst,[],[def_zero_13:[bind(A,$fot(top))]]) ).
cnf(refute_0_357,plain,
( complement(top) != zero
| zero != meet(top,complement(top))
| zero = meet(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_358,plain,
( zero != meet(top,complement(top))
| zero = meet(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_357]) ).
cnf(refute_0_359,plain,
zero = meet(top,zero),
inference(resolve,[$cnf( $equal(zero,meet(top,complement(top))) )],[refute_0_356,refute_0_358]) ).
cnf(refute_0_360,plain,
( zero != meet(top,zero)
| meet(top,zero) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(top,zero)))]]) ).
cnf(refute_0_361,plain,
meet(top,zero) = zero,
inference(resolve,[$cnf( $equal(zero,meet(top,zero)) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
join(complement(top),complement(top)) = complement(top),
inference(subst,[],[refute_0_107:[bind(X_61,$fot(top))]]) ).
cnf(refute_0_363,plain,
( complement(top) != zero
| join(complement(top),complement(top)) != complement(top)
| join(complement(top),zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_364,plain,
( join(complement(top),complement(top)) != complement(top)
| join(complement(top),zero) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_363]) ).
cnf(refute_0_365,plain,
join(complement(top),zero) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) )],[refute_0_362,refute_0_364]) ).
cnf(refute_0_366,plain,
join(zero,complement(top)) = join(zero,complement(top)),
introduced(tautology,[refl,[$fot(join(zero,complement(top)))]]) ).
cnf(refute_0_367,plain,
( complement(top) != zero
| join(zero,complement(top)) != join(zero,complement(top))
| join(zero,complement(top)) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_368,plain,
( complement(top) != zero
| join(zero,complement(top)) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
join(zero,complement(top)) = join(zero,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_368]) ).
cnf(refute_0_370,plain,
join(complement(top),zero) = join(zero,complement(top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(zero)),bind(B,$fot(complement(top)))]]) ).
cnf(refute_0_371,plain,
( join(complement(top),zero) != join(zero,complement(top))
| join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(top),zero))),bind(Y,$fot(join(zero,complement(top)))),bind(Z,$fot(join(zero,zero)))]]) ).
cnf(refute_0_372,plain,
( join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,complement(top))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
join(complement(top),zero) = join(zero,zero),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,zero)) )],[refute_0_369,refute_0_372]) ).
cnf(refute_0_374,plain,
( join(complement(top),zero) != complement(top)
| join(complement(top),zero) != join(zero,zero)
| join(zero,zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),zero),complement(top)) ),[0],$fot(join(zero,zero))]]) ).
cnf(refute_0_375,plain,
( join(complement(top),zero) != complement(top)
| join(zero,zero) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,zero)) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
( complement(top) != zero
| join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_377,plain,
( join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_376]) ).
cnf(refute_0_378,plain,
( join(complement(top),zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,zero),complement(top)) )],[refute_0_375,refute_0_377]) ).
cnf(refute_0_379,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),zero),complement(top)) )],[refute_0_365,refute_0_378]) ).
cnf(refute_0_380,plain,
meet(top,join(zero,zero)) = meet(top,join(zero,zero)),
introduced(tautology,[refl,[$fot(meet(top,join(zero,zero)))]]) ).
cnf(refute_0_381,plain,
( join(zero,zero) != zero
| meet(top,join(zero,zero)) != meet(top,join(zero,zero))
| meet(top,join(zero,zero)) = meet(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,join(zero,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_382,plain,
( join(zero,zero) != zero
| meet(top,join(zero,zero)) = meet(top,zero) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,join(zero,zero))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
meet(top,join(zero,zero)) = meet(top,zero),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_379,refute_0_382]) ).
cnf(refute_0_384,plain,
( meet(top,join(zero,zero)) != meet(top,zero)
| meet(top,zero) != zero
| meet(top,join(zero,zero)) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(top,join(zero,zero)))),bind(Y,$fot(meet(top,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_385,plain,
( meet(top,zero) != zero
| meet(top,join(zero,zero)) = zero ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,zero)) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
meet(top,join(zero,zero)) = zero,
inference(resolve,[$cnf( $equal(meet(top,zero),zero) )],[refute_0_361,refute_0_385]) ).
cnf(refute_0_387,plain,
join(zero,meet(top,join(zero,zero))) = join(zero,meet(top,join(zero,zero))),
introduced(tautology,[refl,[$fot(join(zero,meet(top,join(zero,zero))))]]) ).
cnf(refute_0_388,plain,
( join(zero,meet(top,join(zero,zero))) != join(zero,meet(top,join(zero,zero)))
| meet(top,join(zero,zero)) != zero
| join(zero,meet(top,join(zero,zero))) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_389,plain,
( meet(top,join(zero,zero)) != zero
| join(zero,meet(top,join(zero,zero))) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,zero)))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
join(zero,meet(top,join(zero,zero))) = join(zero,zero),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),zero) )],[refute_0_386,refute_0_389]) ).
cnf(refute_0_391,plain,
( join(zero,meet(top,join(zero,zero))) != join(zero,zero)
| join(zero,zero) != zero
| join(zero,meet(top,join(zero,zero))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,meet(top,join(zero,zero))))),bind(Y,$fot(join(zero,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_392,plain,
( join(zero,zero) != zero
| join(zero,meet(top,join(zero,zero))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(zero,zero))),join(zero,zero)) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
join(zero,meet(top,join(zero,zero))) = zero,
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_379,refute_0_392]) ).
cnf(refute_0_394,plain,
meet(top,join(zero,meet(top,join(zero,zero)))) = meet(top,join(zero,meet(top,join(zero,zero)))),
introduced(tautology,[refl,[$fot(meet(top,join(zero,meet(top,join(zero,zero)))))]]) ).
cnf(refute_0_395,plain,
( join(zero,meet(top,join(zero,zero))) != zero
| meet(top,join(zero,meet(top,join(zero,zero)))) != meet(top,join(zero,meet(top,join(zero,zero))))
| meet(top,join(zero,meet(top,join(zero,zero)))) = meet(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,meet(top,join(zero,zero)))),meet(top,join(zero,meet(top,join(zero,zero))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_396,plain,
( join(zero,meet(top,join(zero,zero))) != zero
| meet(top,join(zero,meet(top,join(zero,zero)))) = meet(top,zero) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,join(zero,zero)))),meet(top,join(zero,meet(top,join(zero,zero))))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
meet(top,join(zero,meet(top,join(zero,zero)))) = meet(top,zero),
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(zero,zero))),zero) )],[refute_0_393,refute_0_396]) ).
cnf(refute_0_398,plain,
( meet(top,join(zero,meet(top,join(zero,zero)))) != meet(top,zero)
| meet(top,zero) != zero
| meet(top,join(zero,meet(top,join(zero,zero)))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(top,join(zero,meet(top,join(zero,zero)))))),bind(Y,$fot(meet(top,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_399,plain,
( meet(top,zero) != zero
| meet(top,join(zero,meet(top,join(zero,zero)))) = zero ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,join(zero,zero)))),meet(top,zero)) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
meet(top,join(zero,meet(top,join(zero,zero)))) = zero,
inference(resolve,[$cnf( $equal(meet(top,zero),zero) )],[refute_0_361,refute_0_399]) ).
cnf(refute_0_401,plain,
join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31) = join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31),
introduced(tautology,[refl,[$fot(join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))]]) ).
cnf(refute_0_402,plain,
( join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31) != join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)
| meet(top,join(zero,meet(top,join(zero,zero)))) != zero
| join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31) = join(zero,X_31) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_403,plain,
( meet(top,join(zero,meet(top,join(zero,zero)))) != zero
| join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31) = join(zero,X_31) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31) = join(zero,X_31),
inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,join(zero,zero)))),zero) )],[refute_0_400,refute_0_403]) ).
cnf(refute_0_405,plain,
join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)),
introduced(tautology,[refl,[$fot(join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))]]) ).
cnf(refute_0_406,plain,
( join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) != join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))
| join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31) != join(zero,X_31)
| join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(complement(zero),join(zero,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)),join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) ),[1,1],$fot(join(zero,X_31))]]) ).
cnf(refute_0_407,plain,
( join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31) != join(zero,X_31)
| join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(complement(zero),join(zero,X_31)) ),
inference(resolve,[$cnf( $equal(join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)),join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(complement(zero),join(zero,X_31)),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31),join(zero,X_31)) )],[refute_0_404,refute_0_407]) ).
cnf(refute_0_409,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_410,plain,
( complement(complement(top)) != complement(complement(top))
| complement(top) != zero
| complement(complement(top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),complement(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_411,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_411]) ).
cnf(refute_0_413,plain,
meet(B,B) = complement(join(complement(B),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(B))]]) ).
cnf(refute_0_414,plain,
join(complement(B),complement(B)) = complement(B),
inference(subst,[],[refute_0_107:[bind(X_61,$fot(B))]]) ).
cnf(refute_0_415,plain,
( join(complement(B),complement(B)) != complement(B)
| meet(B,B) != complement(join(complement(B),complement(B)))
| meet(B,B) = complement(complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(B,B),complement(join(complement(B),complement(B)))) ),[1,0],$fot(complement(B))]]) ).
cnf(refute_0_416,plain,
( meet(B,B) != complement(join(complement(B),complement(B)))
| meet(B,B) = complement(complement(B)) ),
inference(resolve,[$cnf( $equal(join(complement(B),complement(B)),complement(B)) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
meet(B,B) = complement(complement(B)),
inference(resolve,[$cnf( $equal(meet(B,B),complement(join(complement(B),complement(B)))) )],[refute_0_413,refute_0_416]) ).
cnf(refute_0_418,plain,
meet(top,top) = complement(complement(top)),
inference(subst,[],[refute_0_417:[bind(B,$fot(top))]]) ).
cnf(refute_0_419,plain,
( complement(complement(top)) != complement(zero)
| meet(top,top) != complement(complement(top))
| meet(top,top) = complement(zero) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(complement(top)))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_420,plain,
( complement(complement(top)) != complement(zero)
| meet(top,top) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(top,top),complement(complement(top))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
meet(top,top) = complement(zero),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_412,refute_0_420]) ).
cnf(refute_0_422,plain,
join(zero,complement(zero)) = top,
inference(subst,[],[refute_0_180:[bind(A,$fot(zero))]]) ).
cnf(refute_0_423,plain,
join(zero,meet(top,top)) = join(zero,meet(top,top)),
introduced(tautology,[refl,[$fot(join(zero,meet(top,top)))]]) ).
cnf(refute_0_424,plain,
( join(zero,meet(top,top)) != join(zero,meet(top,top))
| meet(top,top) != complement(zero)
| join(zero,meet(top,top)) = join(zero,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(top,top)),join(zero,meet(top,top))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_425,plain,
( meet(top,top) != complement(zero)
| join(zero,meet(top,top)) = join(zero,complement(zero)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,top)),join(zero,meet(top,top))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
join(zero,meet(top,top)) = join(zero,complement(zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(zero)) )],[refute_0_421,refute_0_425]) ).
cnf(refute_0_427,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(top,top)) != join(zero,complement(zero))
| join(zero,meet(top,top)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,meet(top,top)))),bind(Y,$fot(join(zero,complement(zero)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_428,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(top,top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,top)),join(zero,complement(zero))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
join(zero,meet(top,top)) = top,
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_0_422,refute_0_428]) ).
cnf(refute_0_430,plain,
meet(top,join(zero,meet(top,top))) = meet(top,join(zero,meet(top,top))),
introduced(tautology,[refl,[$fot(meet(top,join(zero,meet(top,top))))]]) ).
cnf(refute_0_431,plain,
( join(zero,meet(top,top)) != top
| meet(top,join(zero,meet(top,top))) != meet(top,join(zero,meet(top,top)))
| meet(top,join(zero,meet(top,top))) = meet(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,meet(top,top))),meet(top,join(zero,meet(top,top)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_432,plain,
( join(zero,meet(top,top)) != top
| meet(top,join(zero,meet(top,top))) = meet(top,top) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,top))),meet(top,join(zero,meet(top,top)))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
meet(top,join(zero,meet(top,top))) = meet(top,top),
inference(resolve,[$cnf( $equal(join(zero,meet(top,top)),top) )],[refute_0_429,refute_0_432]) ).
cnf(refute_0_434,plain,
( meet(top,join(zero,meet(top,top))) != meet(top,top)
| meet(top,top) != complement(zero)
| meet(top,join(zero,meet(top,top))) = complement(zero) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(top,join(zero,meet(top,top))))),bind(Y,$fot(meet(top,top))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_435,plain,
( meet(top,top) != complement(zero)
| meet(top,join(zero,meet(top,top))) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,top))),meet(top,top)) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
meet(top,join(zero,meet(top,top))) = complement(zero),
inference(resolve,[$cnf( $equal(meet(top,top),complement(zero)) )],[refute_0_421,refute_0_435]) ).
cnf(refute_0_437,plain,
join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)),
introduced(tautology,[refl,[$fot(join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))]]) ).
cnf(refute_0_438,plain,
( join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) != join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))
| meet(top,join(zero,meet(top,top))) != complement(zero)
| join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)),join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) ),[1,0],$fot(complement(zero))]]) ).
cnf(refute_0_439,plain,
( meet(top,join(zero,meet(top,top))) != complement(zero)
| join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)),join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)),
inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,top))),complement(zero)) )],[refute_0_436,refute_0_439]) ).
cnf(refute_0_441,plain,
( join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) != join(complement(zero),join(zero,X_31))
| join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) != join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))
| join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(complement(zero),join(zero,X_31)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))),bind(Y,$fot(join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))),bind(Z,$fot(join(complement(zero),join(zero,X_31))))]]) ).
cnf(refute_0_442,plain,
( join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) != join(complement(zero),join(zero,X_31))
| join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(complement(zero),join(zero,X_31)) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)),join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(complement(zero),join(zero,X_31)),
inference(resolve,[$cnf( $equal(join(complement(zero),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)),join(complement(zero),join(zero,X_31))) )],[refute_0_408,refute_0_442]) ).
cnf(refute_0_444,plain,
( join(complement(zero),join(zero,X_31)) != join(top,X_31)
| join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) != join(complement(zero),join(zero,X_31))
| join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(top,X_31) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))),bind(Y,$fot(join(complement(zero),join(zero,X_31)))),bind(Z,$fot(join(top,X_31)))]]) ).
cnf(refute_0_445,plain,
( join(complement(zero),join(zero,X_31)) != join(top,X_31)
| join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(top,X_31) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)),join(complement(zero),join(zero,X_31))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) = join(top,X_31),
inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,X_31)),join(top,X_31)) )],[refute_0_355,refute_0_445]) ).
cnf(refute_0_447,plain,
join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) = join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))),
introduced(tautology,[refl,[$fot(join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))))]]) ).
cnf(refute_0_448,plain,
( join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) != join(top,X_31)
| join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) != join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))
| join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) = join(zero,join(top,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))),join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))) ),[1,1],$fot(join(top,X_31))]]) ).
cnf(refute_0_449,plain,
( join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)) != join(top,X_31)
| join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) = join(zero,join(top,X_31)) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))),join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) = join(zero,join(top,X_31)),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)),join(top,X_31)) )],[refute_0_446,refute_0_449]) ).
cnf(refute_0_451,plain,
( join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) != join(zero,join(top,X_31))
| join(zero,join(top,X_31)) != join(top,X_31)
| join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) = join(top,X_31) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))))),bind(Y,$fot(join(zero,join(top,X_31)))),bind(Z,$fot(join(top,X_31)))]]) ).
cnf(refute_0_452,plain,
( join(zero,join(top,X_31)) != join(top,X_31)
| join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) = join(top,X_31) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))),join(zero,join(top,X_31))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) = join(top,X_31),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_31)),join(top,X_31)) )],[refute_0_350,refute_0_452]) ).
cnf(refute_0_454,plain,
( join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))) != join(top,X_31)
| top != join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))
| top = join(top,X_31) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))) ),[1],$fot(join(top,X_31))]]) ).
cnf(refute_0_455,plain,
( top != join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))
| top = join(top,X_31) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31))),join(top,X_31)) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
( join(X_31,top) != join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))
| top = join(top,X_31) ),
inference(resolve,[$cnf( $equal(top,join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))) )],[refute_0_322,refute_0_455]) ).
cnf(refute_0_457,plain,
top = join(top,X_31),
inference(resolve,[$cnf( $equal(join(X_31,top),join(zero,join(meet(top,join(zero,meet(top,top))),join(meet(top,join(zero,meet(top,join(zero,zero)))),X_31)))) )],[refute_0_283,refute_0_456]) ).
cnf(refute_0_458,plain,
( top != join(top,X_31)
| join(top,X_31) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_31)))]]) ).
cnf(refute_0_459,plain,
join(top,X_31) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_31)) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
join(top,X_33) = top,
inference(subst,[],[refute_0_459:[bind(X_31,$fot(X_33))]]) ).
cnf(refute_0_461,plain,
( join(X_31,join(complement(X_31),X_33)) != join(top,X_33)
| join(top,X_33) != top
| join(X_31,join(complement(X_31),X_33)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_31,join(complement(X_31),X_33)),top) ),[0],$fot(join(top,X_33))]]) ).
cnf(refute_0_462,plain,
( join(X_31,join(complement(X_31),X_33)) != join(top,X_33)
| join(X_31,join(complement(X_31),X_33)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_33),top) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
join(X_31,join(complement(X_31),X_33)) = top,
inference(resolve,[$cnf( $equal(join(X_31,join(complement(X_31),X_33)),join(top,X_33)) )],[refute_0_160,refute_0_462]) ).
cnf(refute_0_464,plain,
join(complement(X_97),join(complement(complement(X_97)),X_33)) = top,
inference(subst,[],[refute_0_463:[bind(X_31,$fot(complement(X_97)))]]) ).
cnf(refute_0_465,plain,
( X_97 != join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(join(complement(X_97),join(complement(complement(X_97)),X_33))))
| join(complement(X_97),join(complement(complement(X_97)),X_33)) != top
| X_97 = join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(join(complement(X_97),join(complement(complement(X_97)),X_33))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_466,plain,
( X_97 != join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(join(complement(X_97),join(complement(complement(X_97)),X_33))))
| X_97 = join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_97),join(complement(complement(X_97)),X_33)),top) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
X_97 = join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top)),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(join(complement(X_97),join(complement(complement(X_97)),X_33))))) )],[refute_0_153,refute_0_466]) ).
cnf(refute_0_468,plain,
join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))) = join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))))]]) ).
cnf(refute_0_469,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))) != join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33)))
| join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))) = join(zero,meet(X_97,join(complement(complement(X_97)),X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))),join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_470,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))) = join(zero,meet(X_97,join(complement(complement(X_97)),X_33))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))),join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33)))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))) = join(zero,meet(X_97,join(complement(complement(X_97)),X_33))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_470]) ).
cnf(refute_0_472,plain,
join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top)) = join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_97,join(complement(complement(X_97)),X_33))))]]) ).
cnf(refute_0_473,plain,
( join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))) != join(zero,meet(X_97,join(complement(complement(X_97)),X_33)))
| join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top)) != join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33)))
| join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top)) = join(zero,meet(X_97,join(complement(complement(X_97)),X_33))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))))),bind(Z,$fot(join(zero,meet(X_97,join(complement(complement(X_97)),X_33)))))]]) ).
cnf(refute_0_474,plain,
( join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))) != join(zero,meet(X_97,join(complement(complement(X_97)),X_33)))
| join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top)) = join(zero,meet(X_97,join(complement(complement(X_97)),X_33))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top)),join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33)))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top)) = join(zero,meet(X_97,join(complement(complement(X_97)),X_33))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,join(complement(complement(X_97)),X_33))),join(zero,meet(X_97,join(complement(complement(X_97)),X_33)))) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
( X_97 != join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top))
| join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top)) != join(zero,meet(X_97,join(complement(complement(X_97)),X_33)))
| X_97 = join(zero,meet(X_97,join(complement(complement(X_97)),X_33))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,join(zero,meet(X_97,join(complement(complement(X_97)),X_33)))) ),[0],$fot(join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top)))]]) ).
cnf(refute_0_477,plain,
( X_97 != join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top))
| X_97 = join(zero,meet(X_97,join(complement(complement(X_97)),X_33))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top)),join(zero,meet(X_97,join(complement(complement(X_97)),X_33)))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
X_97 = join(zero,meet(X_97,join(complement(complement(X_97)),X_33))),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,join(complement(complement(X_97)),X_33)),complement(top))) )],[refute_0_467,refute_0_477]) ).
cnf(refute_0_479,plain,
X_97 = join(meet(X_97,complement(X_97)),complement(join(complement(X_97),complement(X_97)))),
inference(subst,[],[refute_0_152:[bind(A,$fot(X_97)),bind(B,$fot(complement(X_97)))]]) ).
cnf(refute_0_480,plain,
join(complement(X_97),complement(X_97)) = complement(X_97),
inference(subst,[],[refute_0_107:[bind(X_61,$fot(X_97))]]) ).
cnf(refute_0_481,plain,
( X_97 != join(meet(X_97,complement(X_97)),complement(join(complement(X_97),complement(X_97))))
| join(complement(X_97),complement(X_97)) != complement(X_97)
| X_97 = join(meet(X_97,complement(X_97)),complement(complement(X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,complement(X_97)),complement(join(complement(X_97),complement(X_97))))) ),[1,1,0],$fot(complement(X_97))]]) ).
cnf(refute_0_482,plain,
( X_97 != join(meet(X_97,complement(X_97)),complement(join(complement(X_97),complement(X_97))))
| X_97 = join(meet(X_97,complement(X_97)),complement(complement(X_97))) ),
inference(resolve,[$cnf( $equal(join(complement(X_97),complement(X_97)),complement(X_97)) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
X_97 = join(meet(X_97,complement(X_97)),complement(complement(X_97))),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,complement(X_97)),complement(join(complement(X_97),complement(X_97))))) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
join(complement(complement(X_97)),zero) = join(zero,complement(complement(X_97))),
inference(subst,[],[refute_0_4:[bind(A,$fot(zero)),bind(B,$fot(complement(complement(X_97))))]]) ).
cnf(refute_0_485,plain,
( zero != meet(A,complement(A))
| meet(A,complement(A)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(A,complement(A))))]]) ).
cnf(refute_0_486,plain,
meet(A,complement(A)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(A,complement(A))) )],[def_zero_13,refute_0_485]) ).
cnf(refute_0_487,plain,
meet(X_97,complement(X_97)) = zero,
inference(subst,[],[refute_0_486:[bind(A,$fot(X_97))]]) ).
cnf(refute_0_488,plain,
join(complement(complement(X_97)),meet(X_97,complement(X_97))) = join(complement(complement(X_97)),meet(X_97,complement(X_97))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_97)),meet(X_97,complement(X_97))))]]) ).
cnf(refute_0_489,plain,
( join(complement(complement(X_97)),meet(X_97,complement(X_97))) != join(complement(complement(X_97)),meet(X_97,complement(X_97)))
| meet(X_97,complement(X_97)) != zero
| join(complement(complement(X_97)),meet(X_97,complement(X_97))) = join(complement(complement(X_97)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_97)),meet(X_97,complement(X_97))),join(complement(complement(X_97)),meet(X_97,complement(X_97)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_490,plain,
( meet(X_97,complement(X_97)) != zero
| join(complement(complement(X_97)),meet(X_97,complement(X_97))) = join(complement(complement(X_97)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_97)),meet(X_97,complement(X_97))),join(complement(complement(X_97)),meet(X_97,complement(X_97)))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
join(complement(complement(X_97)),meet(X_97,complement(X_97))) = join(complement(complement(X_97)),zero),
inference(resolve,[$cnf( $equal(meet(X_97,complement(X_97)),zero) )],[refute_0_487,refute_0_490]) ).
cnf(refute_0_492,plain,
( join(complement(complement(X_97)),meet(X_97,complement(X_97))) != join(complement(complement(X_97)),zero)
| join(complement(complement(X_97)),zero) != join(zero,complement(complement(X_97)))
| join(complement(complement(X_97)),meet(X_97,complement(X_97))) = join(zero,complement(complement(X_97))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(X_97)),meet(X_97,complement(X_97))))),bind(Y,$fot(join(complement(complement(X_97)),zero))),bind(Z,$fot(join(zero,complement(complement(X_97)))))]]) ).
cnf(refute_0_493,plain,
( join(complement(complement(X_97)),zero) != join(zero,complement(complement(X_97)))
| join(complement(complement(X_97)),meet(X_97,complement(X_97))) = join(zero,complement(complement(X_97))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_97)),meet(X_97,complement(X_97))),join(complement(complement(X_97)),zero)) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
join(complement(complement(X_97)),meet(X_97,complement(X_97))) = join(zero,complement(complement(X_97))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_97)),zero),join(zero,complement(complement(X_97)))) )],[refute_0_484,refute_0_493]) ).
cnf(refute_0_495,plain,
join(meet(X_97,complement(X_97)),complement(complement(X_97))) = join(complement(complement(X_97)),meet(X_97,complement(X_97))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(complement(X_97)))),bind(B,$fot(meet(X_97,complement(X_97))))]]) ).
cnf(refute_0_496,plain,
( join(complement(complement(X_97)),meet(X_97,complement(X_97))) != join(zero,complement(complement(X_97)))
| join(meet(X_97,complement(X_97)),complement(complement(X_97))) != join(complement(complement(X_97)),meet(X_97,complement(X_97)))
| join(meet(X_97,complement(X_97)),complement(complement(X_97))) = join(zero,complement(complement(X_97))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(X_97,complement(X_97)),complement(complement(X_97))))),bind(Y,$fot(join(complement(complement(X_97)),meet(X_97,complement(X_97))))),bind(Z,$fot(join(zero,complement(complement(X_97)))))]]) ).
cnf(refute_0_497,plain,
( join(complement(complement(X_97)),meet(X_97,complement(X_97))) != join(zero,complement(complement(X_97)))
| join(meet(X_97,complement(X_97)),complement(complement(X_97))) = join(zero,complement(complement(X_97))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,complement(X_97)),complement(complement(X_97))),join(complement(complement(X_97)),meet(X_97,complement(X_97)))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
join(meet(X_97,complement(X_97)),complement(complement(X_97))) = join(zero,complement(complement(X_97))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_97)),meet(X_97,complement(X_97))),join(zero,complement(complement(X_97)))) )],[refute_0_494,refute_0_497]) ).
cnf(refute_0_499,plain,
( X_97 != join(meet(X_97,complement(X_97)),complement(complement(X_97)))
| join(meet(X_97,complement(X_97)),complement(complement(X_97))) != join(zero,complement(complement(X_97)))
| X_97 = join(zero,complement(complement(X_97))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,join(zero,complement(complement(X_97)))) ),[0],$fot(join(meet(X_97,complement(X_97)),complement(complement(X_97))))]]) ).
cnf(refute_0_500,plain,
( X_97 != join(meet(X_97,complement(X_97)),complement(complement(X_97)))
| X_97 = join(zero,complement(complement(X_97))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,complement(X_97)),complement(complement(X_97))),join(zero,complement(complement(X_97)))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
X_97 = join(zero,complement(complement(X_97))),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,complement(X_97)),complement(complement(X_97)))) )],[refute_0_483,refute_0_500]) ).
cnf(refute_0_502,plain,
join(zero,complement(B)) = join(meet(join(zero,complement(B)),X_98),complement(join(complement(join(zero,complement(B))),X_98))),
inference(subst,[],[refute_0_152:[bind(A,$fot(join(zero,complement(B)))),bind(B,$fot(X_98))]]) ).
cnf(refute_0_503,plain,
( complement(join(zero,complement(B))) != meet(top,B)
| join(zero,complement(B)) != join(meet(join(zero,complement(B)),X_98),complement(join(complement(join(zero,complement(B))),X_98)))
| join(zero,complement(B)) = join(meet(join(zero,complement(B)),X_98),complement(join(meet(top,B),X_98))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(meet(join(zero,complement(B)),X_98),complement(join(complement(join(zero,complement(B))),X_98)))) ),[1,1,0,0],$fot(meet(top,B))]]) ).
cnf(refute_0_504,plain,
( join(zero,complement(B)) != join(meet(join(zero,complement(B)),X_98),complement(join(complement(join(zero,complement(B))),X_98)))
| join(zero,complement(B)) = join(meet(join(zero,complement(B)),X_98),complement(join(meet(top,B),X_98))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),meet(top,B)) )],[refute_0_233,refute_0_503]) ).
cnf(refute_0_505,plain,
join(zero,complement(B)) = join(meet(join(zero,complement(B)),X_98),complement(join(meet(top,B),X_98))),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(meet(join(zero,complement(B)),X_98),complement(join(complement(join(zero,complement(B))),X_98)))) )],[refute_0_502,refute_0_504]) ).
cnf(refute_0_506,plain,
join(meet(join(zero,complement(B)),X_98),complement(join(meet(top,B),X_98))) = join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(meet(top,B),X_98)))),bind(B,$fot(meet(join(zero,complement(B)),X_98)))]]) ).
cnf(refute_0_507,plain,
( join(meet(join(zero,complement(B)),X_98),complement(join(meet(top,B),X_98))) != join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98))
| join(zero,complement(B)) != join(meet(join(zero,complement(B)),X_98),complement(join(meet(top,B),X_98)))
| join(zero,complement(B)) = join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(meet(join(zero,complement(B)),X_98),complement(join(meet(top,B),X_98)))) ),[1],$fot(join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)))]]) ).
cnf(refute_0_508,plain,
( join(zero,complement(B)) != join(meet(join(zero,complement(B)),X_98),complement(join(meet(top,B),X_98)))
| join(zero,complement(B)) = join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,complement(B)),X_98),complement(join(meet(top,B),X_98))),join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
join(zero,complement(B)) = join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(meet(join(zero,complement(B)),X_98),complement(join(meet(top,B),X_98)))) )],[refute_0_505,refute_0_508]) ).
cnf(refute_0_510,plain,
( A != join(meet(A,B),complement(join(complement(A),B)))
| join(meet(A,B),complement(join(complement(A),B))) = A ),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(join(meet(A,B),complement(join(complement(A),B)))))]]) ).
cnf(refute_0_511,plain,
join(meet(A,B),complement(join(complement(A),B))) = A,
inference(resolve,[$cnf( $equal(A,join(meet(A,B),complement(join(complement(A),B)))) )],[refute_0_152,refute_0_510]) ).
cnf(refute_0_512,plain,
join(meet(complement(B),X_98),complement(join(complement(complement(B)),X_98))) = complement(B),
inference(subst,[],[refute_0_511:[bind(A,$fot(complement(B))),bind(B,$fot(X_98))]]) ).
cnf(refute_0_513,plain,
join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)) = join(meet(complement(B),X_98),complement(join(complement(complement(B)),X_98))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(complement(B),X_98))),bind(B,$fot(complement(join(complement(complement(B)),X_98))))]]) ).
cnf(refute_0_514,plain,
( join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)) != join(meet(complement(B),X_98),complement(join(complement(complement(B)),X_98)))
| join(meet(complement(B),X_98),complement(join(complement(complement(B)),X_98))) != complement(B)
| join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)) = complement(B) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)))),bind(Y,$fot(join(meet(complement(B),X_98),complement(join(complement(complement(B)),X_98))))),bind(Z,$fot(complement(B)))]]) ).
cnf(refute_0_515,plain,
( join(meet(complement(B),X_98),complement(join(complement(complement(B)),X_98))) != complement(B)
| join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)) = complement(B) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)),join(meet(complement(B),X_98),complement(join(complement(complement(B)),X_98)))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)) = complement(B),
inference(resolve,[$cnf( $equal(join(meet(complement(B),X_98),complement(join(complement(complement(B)),X_98))),complement(B)) )],[refute_0_512,refute_0_515]) ).
cnf(refute_0_517,plain,
meet(join(zero,complement(X_10)),B) = complement(join(complement(join(zero,complement(X_10))),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(join(zero,complement(X_10))))]]) ).
cnf(refute_0_518,plain,
meet(top,X_10) = complement(join(zero,complement(X_10))),
inference(subst,[],[refute_0_206:[bind(B,$fot(X_10))]]) ).
cnf(refute_0_519,plain,
( meet(top,X_10) != complement(join(zero,complement(X_10)))
| complement(join(zero,complement(X_10))) = meet(top,X_10) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,X_10))),bind(Y,$fot(complement(join(zero,complement(X_10)))))]]) ).
cnf(refute_0_520,plain,
complement(join(zero,complement(X_10))) = meet(top,X_10),
inference(resolve,[$cnf( $equal(meet(top,X_10),complement(join(zero,complement(X_10)))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
( complement(join(zero,complement(X_10))) != meet(top,X_10)
| meet(join(zero,complement(X_10)),B) != complement(join(complement(join(zero,complement(X_10))),complement(B)))
| meet(join(zero,complement(X_10)),B) = complement(join(meet(top,X_10),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_10)),B),complement(join(complement(join(zero,complement(X_10))),complement(B)))) ),[1,0,0],$fot(meet(top,X_10))]]) ).
cnf(refute_0_522,plain,
( meet(join(zero,complement(X_10)),B) != complement(join(complement(join(zero,complement(X_10))),complement(B)))
| meet(join(zero,complement(X_10)),B) = complement(join(meet(top,X_10),complement(B))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_10))),meet(top,X_10)) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
meet(join(zero,complement(X_10)),B) = complement(join(meet(top,X_10),complement(B))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_10)),B),complement(join(complement(join(zero,complement(X_10))),complement(B)))) )],[refute_0_517,refute_0_522]) ).
cnf(refute_0_524,plain,
complement(join(complement(complement(X_10)),complement(B))) = meet(complement(X_10),B),
inference(subst,[],[refute_0_29:[bind(A,$fot(complement(X_10)))]]) ).
cnf(refute_0_525,plain,
meet(top,join(zero,complement(X_10))) = complement(join(zero,complement(join(zero,complement(X_10))))),
inference(subst,[],[refute_0_206:[bind(B,$fot(join(zero,complement(X_10))))]]) ).
cnf(refute_0_526,plain,
( complement(join(zero,complement(X_10))) != meet(top,X_10)
| meet(top,join(zero,complement(X_10))) != complement(join(zero,complement(join(zero,complement(X_10)))))
| meet(top,join(zero,complement(X_10))) = complement(join(zero,meet(top,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_10))),complement(join(zero,complement(join(zero,complement(X_10)))))) ),[1,0,1],$fot(meet(top,X_10))]]) ).
cnf(refute_0_527,plain,
( meet(top,join(zero,complement(X_10))) != complement(join(zero,complement(join(zero,complement(X_10)))))
| meet(top,join(zero,complement(X_10))) = complement(join(zero,meet(top,X_10))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_10))),meet(top,X_10)) )],[refute_0_520,refute_0_526]) ).
cnf(refute_0_528,plain,
meet(top,join(zero,complement(X_10))) = complement(join(zero,meet(top,X_10))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_10))),complement(join(zero,complement(join(zero,complement(X_10)))))) )],[refute_0_525,refute_0_527]) ).
cnf(refute_0_529,plain,
meet(top,join(zero,complement(X_75))) = complement(join(zero,meet(top,X_75))),
inference(subst,[],[refute_0_528:[bind(X_10,$fot(X_75))]]) ).
cnf(refute_0_530,plain,
meet(X_75,top) = meet(top,X_75),
inference(subst,[],[refute_0_33:[bind(X_6,$fot(X_75)),bind(X_7,$fot(top))]]) ).
cnf(refute_0_531,plain,
( meet(X_75,top) != meet(top,X_75)
| meet(top,X_75) = meet(X_75,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_75,top))),bind(Y,$fot(meet(top,X_75)))]]) ).
cnf(refute_0_532,plain,
meet(top,X_75) = meet(X_75,top),
inference(resolve,[$cnf( $equal(meet(X_75,top),meet(top,X_75)) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
( meet(top,X_75) != meet(X_75,top)
| meet(top,join(zero,complement(X_75))) != complement(join(zero,meet(top,X_75)))
| meet(top,join(zero,complement(X_75))) = complement(join(zero,meet(X_75,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_75))),complement(join(zero,meet(top,X_75)))) ),[1,0,1],$fot(meet(X_75,top))]]) ).
cnf(refute_0_534,plain,
( meet(top,join(zero,complement(X_75))) != complement(join(zero,meet(top,X_75)))
| meet(top,join(zero,complement(X_75))) = complement(join(zero,meet(X_75,top))) ),
inference(resolve,[$cnf( $equal(meet(top,X_75),meet(X_75,top)) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
meet(top,join(zero,complement(X_75))) = complement(join(zero,meet(X_75,top))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_75))),complement(join(zero,meet(top,X_75)))) )],[refute_0_529,refute_0_534]) ).
cnf(refute_0_536,plain,
( meet(top,join(zero,complement(X_75))) != complement(join(zero,meet(X_75,top)))
| meet(top,join(zero,complement(X_75))) != complement(join(zero,meet(top,X_75)))
| complement(join(zero,meet(top,X_75))) = complement(join(zero,meet(X_75,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_75))),complement(join(zero,meet(X_75,top)))) ),[0],$fot(complement(join(zero,meet(top,X_75))))]]) ).
cnf(refute_0_537,plain,
( meet(top,join(zero,complement(X_75))) != complement(join(zero,meet(X_75,top)))
| complement(join(zero,meet(top,X_75))) = complement(join(zero,meet(X_75,top))) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_75))),complement(join(zero,meet(top,X_75)))) )],[refute_0_529,refute_0_536]) ).
cnf(refute_0_538,plain,
complement(join(zero,meet(top,X_75))) = complement(join(zero,meet(X_75,top))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_75))),complement(join(zero,meet(X_75,top)))) )],[refute_0_535,refute_0_537]) ).
cnf(refute_0_539,plain,
X_97 = join(meet(X_97,top),complement(join(complement(X_97),top))),
inference(subst,[],[refute_0_152:[bind(A,$fot(X_97)),bind(B,$fot(top))]]) ).
cnf(refute_0_540,plain,
join(complement(X_97),top) = top,
inference(subst,[],[refute_0_319:[bind(X_39,$fot(complement(X_97)))]]) ).
cnf(refute_0_541,plain,
( X_97 != join(meet(X_97,top),complement(join(complement(X_97),top)))
| join(complement(X_97),top) != top
| X_97 = join(meet(X_97,top),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,top),complement(join(complement(X_97),top)))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_542,plain,
( X_97 != join(meet(X_97,top),complement(join(complement(X_97),top)))
| X_97 = join(meet(X_97,top),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_97),top),top) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
X_97 = join(meet(X_97,top),complement(top)),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,top),complement(join(complement(X_97),top)))) )],[refute_0_539,refute_0_542]) ).
cnf(refute_0_544,plain,
join(complement(top),meet(X_97,top)) = join(complement(top),meet(X_97,top)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_97,top)))]]) ).
cnf(refute_0_545,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,top)) != join(complement(top),meet(X_97,top))
| join(complement(top),meet(X_97,top)) = join(zero,meet(X_97,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_97,top)),join(complement(top),meet(X_97,top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_546,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,top)) = join(zero,meet(X_97,top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,top)),join(complement(top),meet(X_97,top))) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
join(complement(top),meet(X_97,top)) = join(zero,meet(X_97,top)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_546]) ).
cnf(refute_0_548,plain,
join(meet(X_97,top),complement(top)) = join(complement(top),meet(X_97,top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_97,top)))]]) ).
cnf(refute_0_549,plain,
( join(complement(top),meet(X_97,top)) != join(zero,meet(X_97,top))
| join(meet(X_97,top),complement(top)) != join(complement(top),meet(X_97,top))
| join(meet(X_97,top),complement(top)) = join(zero,meet(X_97,top)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(X_97,top),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_97,top)))),bind(Z,$fot(join(zero,meet(X_97,top))))]]) ).
cnf(refute_0_550,plain,
( join(complement(top),meet(X_97,top)) != join(zero,meet(X_97,top))
| join(meet(X_97,top),complement(top)) = join(zero,meet(X_97,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,top),complement(top)),join(complement(top),meet(X_97,top))) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
join(meet(X_97,top),complement(top)) = join(zero,meet(X_97,top)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,top)),join(zero,meet(X_97,top))) )],[refute_0_547,refute_0_550]) ).
cnf(refute_0_552,plain,
( X_97 != join(meet(X_97,top),complement(top))
| join(meet(X_97,top),complement(top)) != join(zero,meet(X_97,top))
| X_97 = join(zero,meet(X_97,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,join(zero,meet(X_97,top))) ),[0],$fot(join(meet(X_97,top),complement(top)))]]) ).
cnf(refute_0_553,plain,
( X_97 != join(meet(X_97,top),complement(top))
| X_97 = join(zero,meet(X_97,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,top),complement(top)),join(zero,meet(X_97,top))) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
X_97 = join(zero,meet(X_97,top)),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,top),complement(top))) )],[refute_0_543,refute_0_553]) ).
cnf(refute_0_555,plain,
( X_97 != join(zero,meet(X_97,top))
| join(zero,meet(X_97,top)) = X_97 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_97)),bind(Y,$fot(join(zero,meet(X_97,top))))]]) ).
cnf(refute_0_556,plain,
join(zero,meet(X_97,top)) = X_97,
inference(resolve,[$cnf( $equal(X_97,join(zero,meet(X_97,top))) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
join(zero,meet(X_75,top)) = X_75,
inference(subst,[],[refute_0_556:[bind(X_97,$fot(X_75))]]) ).
cnf(refute_0_558,plain,
complement(join(zero,meet(X_75,top))) = complement(join(zero,meet(X_75,top))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(X_75,top))))]]) ).
cnf(refute_0_559,plain,
( complement(join(zero,meet(X_75,top))) != complement(join(zero,meet(X_75,top)))
| join(zero,meet(X_75,top)) != X_75
| complement(join(zero,meet(X_75,top))) = complement(X_75) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(X_75,top))),complement(join(zero,meet(X_75,top)))) ),[1,0],$fot(X_75)]]) ).
cnf(refute_0_560,plain,
( join(zero,meet(X_75,top)) != X_75
| complement(join(zero,meet(X_75,top))) = complement(X_75) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(X_75,top))),complement(join(zero,meet(X_75,top)))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
complement(join(zero,meet(X_75,top))) = complement(X_75),
inference(resolve,[$cnf( $equal(join(zero,meet(X_75,top)),X_75) )],[refute_0_557,refute_0_560]) ).
cnf(refute_0_562,plain,
( complement(join(zero,meet(X_75,top))) != complement(X_75)
| complement(join(zero,meet(top,X_75))) != complement(join(zero,meet(X_75,top)))
| complement(join(zero,meet(top,X_75))) = complement(X_75) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,X_75))),complement(join(zero,meet(X_75,top)))) ),[1],$fot(complement(X_75))]]) ).
cnf(refute_0_563,plain,
( complement(join(zero,meet(top,X_75))) != complement(join(zero,meet(X_75,top)))
| complement(join(zero,meet(top,X_75))) = complement(X_75) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(X_75,top))),complement(X_75)) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
complement(join(zero,meet(top,X_75))) = complement(X_75),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_75))),complement(join(zero,meet(X_75,top)))) )],[refute_0_538,refute_0_563]) ).
cnf(refute_0_565,plain,
complement(join(zero,meet(top,X_10))) = complement(X_10),
inference(subst,[],[refute_0_564:[bind(X_75,$fot(X_10))]]) ).
cnf(refute_0_566,plain,
( complement(join(zero,meet(top,X_10))) != complement(X_10)
| meet(top,join(zero,complement(X_10))) != complement(join(zero,meet(top,X_10)))
| meet(top,join(zero,complement(X_10))) = complement(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_10))),complement(join(zero,meet(top,X_10)))) ),[1],$fot(complement(X_10))]]) ).
cnf(refute_0_567,plain,
( meet(top,join(zero,complement(X_10))) != complement(join(zero,meet(top,X_10)))
| meet(top,join(zero,complement(X_10))) = complement(X_10) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_10))),complement(X_10)) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
meet(top,join(zero,complement(X_10))) = complement(X_10),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_10))),complement(join(zero,meet(top,X_10)))) )],[refute_0_528,refute_0_567]) ).
cnf(refute_0_569,plain,
meet(top,join(zero,complement(complement(X_105)))) = complement(complement(X_105)),
inference(subst,[],[refute_0_568:[bind(X_10,$fot(complement(X_105)))]]) ).
cnf(refute_0_570,plain,
X_105 = join(zero,complement(complement(X_105))),
inference(subst,[],[refute_0_501:[bind(X_97,$fot(X_105))]]) ).
cnf(refute_0_571,plain,
( X_105 != join(zero,complement(complement(X_105)))
| join(zero,complement(complement(X_105))) = X_105 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_105)),bind(Y,$fot(join(zero,complement(complement(X_105)))))]]) ).
cnf(refute_0_572,plain,
join(zero,complement(complement(X_105))) = X_105,
inference(resolve,[$cnf( $equal(X_105,join(zero,complement(complement(X_105)))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
( join(zero,complement(complement(X_105))) != X_105
| meet(top,join(zero,complement(complement(X_105)))) != complement(complement(X_105))
| meet(top,X_105) = complement(complement(X_105)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(complement(X_105)))),complement(complement(X_105))) ),[0,1],$fot(X_105)]]) ).
cnf(refute_0_574,plain,
( meet(top,join(zero,complement(complement(X_105)))) != complement(complement(X_105))
| meet(top,X_105) = complement(complement(X_105)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_105))),X_105) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
meet(top,X_105) = complement(complement(X_105)),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(complement(X_105)))),complement(complement(X_105))) )],[refute_0_569,refute_0_574]) ).
cnf(refute_0_576,plain,
meet(top,X_10) = complement(complement(X_10)),
inference(subst,[],[refute_0_575:[bind(X_105,$fot(X_10))]]) ).
cnf(refute_0_577,plain,
join(meet(top,X_10),complement(B)) = join(meet(top,X_10),complement(B)),
introduced(tautology,[refl,[$fot(join(meet(top,X_10),complement(B)))]]) ).
cnf(refute_0_578,plain,
( join(meet(top,X_10),complement(B)) != join(meet(top,X_10),complement(B))
| meet(top,X_10) != complement(complement(X_10))
| join(meet(top,X_10),complement(B)) = join(complement(complement(X_10)),complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_10),complement(B)),join(meet(top,X_10),complement(B))) ),[1,0],$fot(complement(complement(X_10)))]]) ).
cnf(refute_0_579,plain,
( meet(top,X_10) != complement(complement(X_10))
| join(meet(top,X_10),complement(B)) = join(complement(complement(X_10)),complement(B)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_10),complement(B)),join(meet(top,X_10),complement(B))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
join(meet(top,X_10),complement(B)) = join(complement(complement(X_10)),complement(B)),
inference(resolve,[$cnf( $equal(meet(top,X_10),complement(complement(X_10))) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
complement(join(meet(top,X_10),complement(B))) = complement(join(meet(top,X_10),complement(B))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X_10),complement(B))))]]) ).
cnf(refute_0_582,plain,
( complement(join(meet(top,X_10),complement(B))) != complement(join(meet(top,X_10),complement(B)))
| join(meet(top,X_10),complement(B)) != join(complement(complement(X_10)),complement(B))
| complement(join(meet(top,X_10),complement(B))) = complement(join(complement(complement(X_10)),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X_10),complement(B))),complement(join(meet(top,X_10),complement(B)))) ),[1,0],$fot(join(complement(complement(X_10)),complement(B)))]]) ).
cnf(refute_0_583,plain,
( join(meet(top,X_10),complement(B)) != join(complement(complement(X_10)),complement(B))
| complement(join(meet(top,X_10),complement(B))) = complement(join(complement(complement(X_10)),complement(B))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_10),complement(B))),complement(join(meet(top,X_10),complement(B)))) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
complement(join(meet(top,X_10),complement(B))) = complement(join(complement(complement(X_10)),complement(B))),
inference(resolve,[$cnf( $equal(join(meet(top,X_10),complement(B)),join(complement(complement(X_10)),complement(B))) )],[refute_0_580,refute_0_583]) ).
cnf(refute_0_585,plain,
( complement(join(complement(complement(X_10)),complement(B))) != meet(complement(X_10),B)
| complement(join(meet(top,X_10),complement(B))) != complement(join(complement(complement(X_10)),complement(B)))
| complement(join(meet(top,X_10),complement(B))) = meet(complement(X_10),B) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(meet(top,X_10),complement(B))))),bind(Y,$fot(complement(join(complement(complement(X_10)),complement(B))))),bind(Z,$fot(meet(complement(X_10),B)))]]) ).
cnf(refute_0_586,plain,
( complement(join(complement(complement(X_10)),complement(B))) != meet(complement(X_10),B)
| complement(join(meet(top,X_10),complement(B))) = meet(complement(X_10),B) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_10),complement(B))),complement(join(complement(complement(X_10)),complement(B)))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
complement(join(meet(top,X_10),complement(B))) = meet(complement(X_10),B),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_10)),complement(B))),meet(complement(X_10),B)) )],[refute_0_524,refute_0_586]) ).
cnf(refute_0_588,plain,
( complement(join(meet(top,X_10),complement(B))) != meet(complement(X_10),B)
| meet(join(zero,complement(X_10)),B) != complement(join(meet(top,X_10),complement(B)))
| meet(join(zero,complement(X_10)),B) = meet(complement(X_10),B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_10)),B),complement(join(meet(top,X_10),complement(B)))) ),[1],$fot(meet(complement(X_10),B))]]) ).
cnf(refute_0_589,plain,
( meet(join(zero,complement(X_10)),B) != complement(join(meet(top,X_10),complement(B)))
| meet(join(zero,complement(X_10)),B) = meet(complement(X_10),B) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_10),complement(B))),meet(complement(X_10),B)) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
meet(join(zero,complement(X_10)),B) = meet(complement(X_10),B),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_10)),B),complement(join(meet(top,X_10),complement(B)))) )],[refute_0_523,refute_0_589]) ).
cnf(refute_0_591,plain,
meet(join(zero,complement(B)),X_98) = meet(complement(B),X_98),
inference(subst,[],[refute_0_590:[bind(B,$fot(X_98)),bind(X_10,$fot(B))]]) ).
cnf(refute_0_592,plain,
join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)) = join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)),
introduced(tautology,[refl,[$fot(join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)))]]) ).
cnf(refute_0_593,plain,
( join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)) != join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98))
| meet(join(zero,complement(B)),X_98) != meet(complement(B),X_98)
| join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)) = join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)),join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98))) ),[1,1],$fot(meet(complement(B),X_98))]]) ).
cnf(refute_0_594,plain,
( meet(join(zero,complement(B)),X_98) != meet(complement(B),X_98)
| join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)) = join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)),join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)) = join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(B)),X_98),meet(complement(B),X_98)) )],[refute_0_591,refute_0_594]) ).
cnf(refute_0_596,plain,
meet(top,B) = complement(complement(B)),
inference(subst,[],[refute_0_575:[bind(X_105,$fot(B))]]) ).
cnf(refute_0_597,plain,
join(meet(top,B),X_98) = join(meet(top,B),X_98),
introduced(tautology,[refl,[$fot(join(meet(top,B),X_98))]]) ).
cnf(refute_0_598,plain,
( join(meet(top,B),X_98) != join(meet(top,B),X_98)
| meet(top,B) != complement(complement(B))
| join(meet(top,B),X_98) = join(complement(complement(B)),X_98) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,B),X_98),join(meet(top,B),X_98)) ),[1,0],$fot(complement(complement(B)))]]) ).
cnf(refute_0_599,plain,
( meet(top,B) != complement(complement(B))
| join(meet(top,B),X_98) = join(complement(complement(B)),X_98) ),
inference(resolve,[$cnf( $equal(join(meet(top,B),X_98),join(meet(top,B),X_98)) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
join(meet(top,B),X_98) = join(complement(complement(B)),X_98),
inference(resolve,[$cnf( $equal(meet(top,B),complement(complement(B))) )],[refute_0_596,refute_0_599]) ).
cnf(refute_0_601,plain,
complement(join(meet(top,B),X_98)) = complement(join(meet(top,B),X_98)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,B),X_98)))]]) ).
cnf(refute_0_602,plain,
( complement(join(meet(top,B),X_98)) != complement(join(meet(top,B),X_98))
| join(meet(top,B),X_98) != join(complement(complement(B)),X_98)
| complement(join(meet(top,B),X_98)) = complement(join(complement(complement(B)),X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,B),X_98)),complement(join(meet(top,B),X_98))) ),[1,0],$fot(join(complement(complement(B)),X_98))]]) ).
cnf(refute_0_603,plain,
( join(meet(top,B),X_98) != join(complement(complement(B)),X_98)
| complement(join(meet(top,B),X_98)) = complement(join(complement(complement(B)),X_98)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,B),X_98)),complement(join(meet(top,B),X_98))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
complement(join(meet(top,B),X_98)) = complement(join(complement(complement(B)),X_98)),
inference(resolve,[$cnf( $equal(join(meet(top,B),X_98),join(complement(complement(B)),X_98)) )],[refute_0_600,refute_0_603]) ).
cnf(refute_0_605,plain,
join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) = join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)))]]) ).
cnf(refute_0_606,plain,
( complement(join(meet(top,B),X_98)) != complement(join(complement(complement(B)),X_98))
| join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) != join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98))
| join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) = join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)),join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98))) ),[1,0],$fot(complement(join(complement(complement(B)),X_98)))]]) ).
cnf(refute_0_607,plain,
( complement(join(meet(top,B),X_98)) != complement(join(complement(complement(B)),X_98))
| join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) = join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)),join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) = join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)),
inference(resolve,[$cnf( $equal(complement(join(meet(top,B),X_98)),complement(join(complement(complement(B)),X_98))) )],[refute_0_604,refute_0_607]) ).
cnf(refute_0_609,plain,
( join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)) != join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98))
| join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) != join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98))
| join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) = join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)))),bind(Y,$fot(join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)))),bind(Z,$fot(join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98))))]]) ).
cnf(refute_0_610,plain,
( join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)) != join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98))
| join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) = join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)),join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) = join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)),
inference(resolve,[$cnf( $equal(join(complement(join(complement(complement(B)),X_98)),meet(join(zero,complement(B)),X_98)),join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98))) )],[refute_0_595,refute_0_610]) ).
cnf(refute_0_612,plain,
( join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)) != complement(B)
| join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) != join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98))
| join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) = complement(B) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)))),bind(Y,$fot(join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)))),bind(Z,$fot(complement(B)))]]) ).
cnf(refute_0_613,plain,
( join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)) != complement(B)
| join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) = complement(B) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)),join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(join(complement(complement(B)),X_98)),meet(complement(B),X_98)),complement(B)) )],[refute_0_516,refute_0_613]) ).
cnf(refute_0_615,plain,
( join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)) != complement(B)
| join(zero,complement(B)) != join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98))
| join(zero,complement(B)) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98))) ),[1],$fot(complement(B))]]) ).
cnf(refute_0_616,plain,
( join(zero,complement(B)) != join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98))
| join(zero,complement(B)) = complement(B) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98)),complement(B)) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
join(zero,complement(B)) = complement(B),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(complement(join(meet(top,B),X_98)),meet(join(zero,complement(B)),X_98))) )],[refute_0_509,refute_0_616]) ).
cnf(refute_0_618,plain,
join(zero,complement(complement(X_97))) = complement(complement(X_97)),
inference(subst,[],[refute_0_617:[bind(B,$fot(complement(X_97)))]]) ).
cnf(refute_0_619,plain,
( X_97 != join(zero,complement(complement(X_97)))
| join(zero,complement(complement(X_97))) != complement(complement(X_97))
| X_97 = complement(complement(X_97)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,complement(complement(X_97))) ),[0],$fot(join(zero,complement(complement(X_97))))]]) ).
cnf(refute_0_620,plain,
( X_97 != join(zero,complement(complement(X_97)))
| X_97 = complement(complement(X_97)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_97))),complement(complement(X_97))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
X_97 = complement(complement(X_97)),
inference(resolve,[$cnf( $equal(X_97,join(zero,complement(complement(X_97)))) )],[refute_0_501,refute_0_620]) ).
cnf(refute_0_622,plain,
( X_97 != complement(complement(X_97))
| complement(complement(X_97)) = X_97 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_97)),bind(Y,$fot(complement(complement(X_97))))]]) ).
cnf(refute_0_623,plain,
complement(complement(X_97)) = X_97,
inference(resolve,[$cnf( $equal(X_97,complement(complement(X_97))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
join(complement(complement(X_97)),X_33) = join(complement(complement(X_97)),X_33),
introduced(tautology,[refl,[$fot(join(complement(complement(X_97)),X_33))]]) ).
cnf(refute_0_625,plain,
( complement(complement(X_97)) != X_97
| join(complement(complement(X_97)),X_33) != join(complement(complement(X_97)),X_33)
| join(complement(complement(X_97)),X_33) = join(X_97,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_97)),X_33),join(complement(complement(X_97)),X_33)) ),[1,0],$fot(X_97)]]) ).
cnf(refute_0_626,plain,
( complement(complement(X_97)) != X_97
| join(complement(complement(X_97)),X_33) = join(X_97,X_33) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_97)),X_33),join(complement(complement(X_97)),X_33)) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
join(complement(complement(X_97)),X_33) = join(X_97,X_33),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_626]) ).
cnf(refute_0_628,plain,
meet(X_97,join(complement(complement(X_97)),X_33)) = meet(X_97,join(complement(complement(X_97)),X_33)),
introduced(tautology,[refl,[$fot(meet(X_97,join(complement(complement(X_97)),X_33)))]]) ).
cnf(refute_0_629,plain,
( join(complement(complement(X_97)),X_33) != join(X_97,X_33)
| meet(X_97,join(complement(complement(X_97)),X_33)) != meet(X_97,join(complement(complement(X_97)),X_33))
| meet(X_97,join(complement(complement(X_97)),X_33)) = meet(X_97,join(X_97,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_97,join(complement(complement(X_97)),X_33)),meet(X_97,join(complement(complement(X_97)),X_33))) ),[1,1],$fot(join(X_97,X_33))]]) ).
cnf(refute_0_630,plain,
( join(complement(complement(X_97)),X_33) != join(X_97,X_33)
| meet(X_97,join(complement(complement(X_97)),X_33)) = meet(X_97,join(X_97,X_33)) ),
inference(resolve,[$cnf( $equal(meet(X_97,join(complement(complement(X_97)),X_33)),meet(X_97,join(complement(complement(X_97)),X_33))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
meet(X_97,join(complement(complement(X_97)),X_33)) = meet(X_97,join(X_97,X_33)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_97)),X_33),join(X_97,X_33)) )],[refute_0_627,refute_0_630]) ).
cnf(refute_0_632,plain,
X_97 = join(meet(X_97,complement(complement(X_97))),complement(join(complement(X_97),complement(complement(X_97))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(X_97)),bind(B,$fot(complement(complement(X_97))))]]) ).
cnf(refute_0_633,plain,
top = join(complement(X_97),complement(complement(X_97))),
inference(subst,[],[def_top_12:[bind(A,$fot(complement(X_97)))]]) ).
cnf(refute_0_634,plain,
( top != join(complement(X_97),complement(complement(X_97)))
| join(complement(X_97),complement(complement(X_97))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_97),complement(complement(X_97)))))]]) ).
cnf(refute_0_635,plain,
join(complement(X_97),complement(complement(X_97))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_97),complement(complement(X_97)))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
( X_97 != join(meet(X_97,complement(complement(X_97))),complement(join(complement(X_97),complement(complement(X_97)))))
| join(complement(X_97),complement(complement(X_97))) != top
| X_97 = join(meet(X_97,complement(complement(X_97))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,complement(complement(X_97))),complement(join(complement(X_97),complement(complement(X_97)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_637,plain,
( X_97 != join(meet(X_97,complement(complement(X_97))),complement(join(complement(X_97),complement(complement(X_97)))))
| X_97 = join(meet(X_97,complement(complement(X_97))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_97),complement(complement(X_97))),top) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
X_97 = join(meet(X_97,complement(complement(X_97))),complement(top)),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,complement(complement(X_97))),complement(join(complement(X_97),complement(complement(X_97)))))) )],[refute_0_632,refute_0_637]) ).
cnf(refute_0_639,plain,
join(complement(top),meet(X_97,complement(complement(X_97)))) = join(complement(top),meet(X_97,complement(complement(X_97)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_97,complement(complement(X_97)))))]]) ).
cnf(refute_0_640,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,complement(complement(X_97)))) != join(complement(top),meet(X_97,complement(complement(X_97))))
| join(complement(top),meet(X_97,complement(complement(X_97)))) = join(zero,meet(X_97,complement(complement(X_97)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_97,complement(complement(X_97)))),join(complement(top),meet(X_97,complement(complement(X_97))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_641,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,complement(complement(X_97)))) = join(zero,meet(X_97,complement(complement(X_97)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,complement(complement(X_97)))),join(complement(top),meet(X_97,complement(complement(X_97))))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
join(complement(top),meet(X_97,complement(complement(X_97)))) = join(zero,meet(X_97,complement(complement(X_97)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_641]) ).
cnf(refute_0_643,plain,
join(meet(X_97,complement(complement(X_97))),complement(top)) = join(complement(top),meet(X_97,complement(complement(X_97)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_97,complement(complement(X_97)))))]]) ).
cnf(refute_0_644,plain,
( join(complement(top),meet(X_97,complement(complement(X_97)))) != join(zero,meet(X_97,complement(complement(X_97))))
| join(meet(X_97,complement(complement(X_97))),complement(top)) != join(complement(top),meet(X_97,complement(complement(X_97))))
| join(meet(X_97,complement(complement(X_97))),complement(top)) = join(zero,meet(X_97,complement(complement(X_97)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(X_97,complement(complement(X_97))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_97,complement(complement(X_97)))))),bind(Z,$fot(join(zero,meet(X_97,complement(complement(X_97))))))]]) ).
cnf(refute_0_645,plain,
( join(complement(top),meet(X_97,complement(complement(X_97)))) != join(zero,meet(X_97,complement(complement(X_97))))
| join(meet(X_97,complement(complement(X_97))),complement(top)) = join(zero,meet(X_97,complement(complement(X_97)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,complement(complement(X_97))),complement(top)),join(complement(top),meet(X_97,complement(complement(X_97))))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
join(meet(X_97,complement(complement(X_97))),complement(top)) = join(zero,meet(X_97,complement(complement(X_97)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,complement(complement(X_97)))),join(zero,meet(X_97,complement(complement(X_97))))) )],[refute_0_642,refute_0_645]) ).
cnf(refute_0_647,plain,
( X_97 != join(meet(X_97,complement(complement(X_97))),complement(top))
| join(meet(X_97,complement(complement(X_97))),complement(top)) != join(zero,meet(X_97,complement(complement(X_97))))
| X_97 = join(zero,meet(X_97,complement(complement(X_97)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,join(zero,meet(X_97,complement(complement(X_97))))) ),[0],$fot(join(meet(X_97,complement(complement(X_97))),complement(top)))]]) ).
cnf(refute_0_648,plain,
( X_97 != join(meet(X_97,complement(complement(X_97))),complement(top))
| X_97 = join(zero,meet(X_97,complement(complement(X_97)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,complement(complement(X_97))),complement(top)),join(zero,meet(X_97,complement(complement(X_97))))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
X_97 = join(zero,meet(X_97,complement(complement(X_97)))),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,complement(complement(X_97))),complement(top))) )],[refute_0_638,refute_0_648]) ).
cnf(refute_0_650,plain,
complement(complement(B)) = B,
inference(subst,[],[refute_0_623:[bind(X_97,$fot(B))]]) ).
cnf(refute_0_651,plain,
( complement(complement(B)) != B
| meet(B,B) != complement(complement(B))
| meet(B,B) = B ),
introduced(tautology,[equality,[$cnf( $equal(meet(B,B),complement(complement(B))) ),[1],$fot(B)]]) ).
cnf(refute_0_652,plain,
( meet(B,B) != complement(complement(B))
| meet(B,B) = B ),
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
meet(B,B) = B,
inference(resolve,[$cnf( $equal(meet(B,B),complement(complement(B))) )],[refute_0_417,refute_0_652]) ).
cnf(refute_0_654,plain,
meet(X_97,X_97) = X_97,
inference(subst,[],[refute_0_653:[bind(B,$fot(X_97))]]) ).
cnf(refute_0_655,plain,
meet(X_97,complement(complement(X_97))) = meet(X_97,complement(complement(X_97))),
introduced(tautology,[refl,[$fot(meet(X_97,complement(complement(X_97))))]]) ).
cnf(refute_0_656,plain,
( complement(complement(X_97)) != X_97
| meet(X_97,complement(complement(X_97))) != meet(X_97,complement(complement(X_97)))
| meet(X_97,complement(complement(X_97))) = meet(X_97,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_97,complement(complement(X_97))),meet(X_97,complement(complement(X_97)))) ),[1,1],$fot(X_97)]]) ).
cnf(refute_0_657,plain,
( complement(complement(X_97)) != X_97
| meet(X_97,complement(complement(X_97))) = meet(X_97,X_97) ),
inference(resolve,[$cnf( $equal(meet(X_97,complement(complement(X_97))),meet(X_97,complement(complement(X_97)))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
meet(X_97,complement(complement(X_97))) = meet(X_97,X_97),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_657]) ).
cnf(refute_0_659,plain,
( meet(X_97,X_97) != X_97
| meet(X_97,complement(complement(X_97))) != meet(X_97,X_97)
| meet(X_97,complement(complement(X_97))) = X_97 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X_97,complement(complement(X_97))))),bind(Y,$fot(meet(X_97,X_97))),bind(Z,$fot(X_97))]]) ).
cnf(refute_0_660,plain,
( meet(X_97,X_97) != X_97
| meet(X_97,complement(complement(X_97))) = X_97 ),
inference(resolve,[$cnf( $equal(meet(X_97,complement(complement(X_97))),meet(X_97,X_97)) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
meet(X_97,complement(complement(X_97))) = X_97,
inference(resolve,[$cnf( $equal(meet(X_97,X_97),X_97) )],[refute_0_654,refute_0_660]) ).
cnf(refute_0_662,plain,
join(zero,meet(X_97,complement(complement(X_97)))) = join(zero,meet(X_97,complement(complement(X_97)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_97,complement(complement(X_97)))))]]) ).
cnf(refute_0_663,plain,
( join(zero,meet(X_97,complement(complement(X_97)))) != join(zero,meet(X_97,complement(complement(X_97))))
| meet(X_97,complement(complement(X_97))) != X_97
| join(zero,meet(X_97,complement(complement(X_97)))) = join(zero,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_97,complement(complement(X_97)))),join(zero,meet(X_97,complement(complement(X_97))))) ),[1,1],$fot(X_97)]]) ).
cnf(refute_0_664,plain,
( meet(X_97,complement(complement(X_97))) != X_97
| join(zero,meet(X_97,complement(complement(X_97)))) = join(zero,X_97) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,complement(complement(X_97)))),join(zero,meet(X_97,complement(complement(X_97))))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
join(zero,meet(X_97,complement(complement(X_97)))) = join(zero,X_97),
inference(resolve,[$cnf( $equal(meet(X_97,complement(complement(X_97))),X_97) )],[refute_0_661,refute_0_664]) ).
cnf(refute_0_666,plain,
( X_97 != join(zero,meet(X_97,complement(complement(X_97))))
| join(zero,meet(X_97,complement(complement(X_97)))) != join(zero,X_97)
| X_97 = join(zero,X_97) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,join(zero,X_97)) ),[0],$fot(join(zero,meet(X_97,complement(complement(X_97)))))]]) ).
cnf(refute_0_667,plain,
( X_97 != join(zero,meet(X_97,complement(complement(X_97))))
| X_97 = join(zero,X_97) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,complement(complement(X_97)))),join(zero,X_97)) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
X_97 = join(zero,X_97),
inference(resolve,[$cnf( $equal(X_97,join(zero,meet(X_97,complement(complement(X_97))))) )],[refute_0_649,refute_0_667]) ).
cnf(refute_0_669,plain,
( X_97 != join(zero,X_97)
| join(zero,X_97) = X_97 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_97)),bind(Y,$fot(join(zero,X_97)))]]) ).
cnf(refute_0_670,plain,
join(zero,X_97) = X_97,
inference(resolve,[$cnf( $equal(X_97,join(zero,X_97)) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
join(zero,meet(X_97,join(complement(complement(X_97)),X_33))) = meet(X_97,join(complement(complement(X_97)),X_33)),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(meet(X_97,join(complement(complement(X_97)),X_33))))]]) ).
cnf(refute_0_672,plain,
( join(zero,meet(X_97,join(complement(complement(X_97)),X_33))) != meet(X_97,join(complement(complement(X_97)),X_33))
| meet(X_97,join(complement(complement(X_97)),X_33)) != meet(X_97,join(X_97,X_33))
| join(zero,meet(X_97,join(complement(complement(X_97)),X_33))) = meet(X_97,join(X_97,X_33)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,meet(X_97,join(complement(complement(X_97)),X_33))))),bind(Y,$fot(meet(X_97,join(complement(complement(X_97)),X_33)))),bind(Z,$fot(meet(X_97,join(X_97,X_33))))]]) ).
cnf(refute_0_673,plain,
( meet(X_97,join(complement(complement(X_97)),X_33)) != meet(X_97,join(X_97,X_33))
| join(zero,meet(X_97,join(complement(complement(X_97)),X_33))) = meet(X_97,join(X_97,X_33)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,join(complement(complement(X_97)),X_33))),meet(X_97,join(complement(complement(X_97)),X_33))) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
join(zero,meet(X_97,join(complement(complement(X_97)),X_33))) = meet(X_97,join(X_97,X_33)),
inference(resolve,[$cnf( $equal(meet(X_97,join(complement(complement(X_97)),X_33)),meet(X_97,join(X_97,X_33))) )],[refute_0_631,refute_0_673]) ).
cnf(refute_0_675,plain,
( X_97 != join(zero,meet(X_97,join(complement(complement(X_97)),X_33)))
| join(zero,meet(X_97,join(complement(complement(X_97)),X_33))) != meet(X_97,join(X_97,X_33))
| X_97 = meet(X_97,join(X_97,X_33)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,meet(X_97,join(X_97,X_33))) ),[0],$fot(join(zero,meet(X_97,join(complement(complement(X_97)),X_33))))]]) ).
cnf(refute_0_676,plain,
( X_97 != join(zero,meet(X_97,join(complement(complement(X_97)),X_33)))
| X_97 = meet(X_97,join(X_97,X_33)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,join(complement(complement(X_97)),X_33))),meet(X_97,join(X_97,X_33))) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
X_97 = meet(X_97,join(X_97,X_33)),
inference(resolve,[$cnf( $equal(X_97,join(zero,meet(X_97,join(complement(complement(X_97)),X_33)))) )],[refute_0_478,refute_0_676]) ).
cnf(refute_0_678,plain,
meet(one,complement(sk1)) = meet(meet(one,complement(sk1)),join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1)))))),
inference(subst,[],[refute_0_677:[bind(X_33,$fot(complement(composition(sk1,complement(converse(sk1)))))),bind(X_97,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_679,plain,
join(one,join(meet(one,complement(sk1)),C)) = join(join(one,meet(one,complement(sk1))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(one)),bind(B,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_680,plain,
join(one,join(sk1,X_33)) = join(join(one,sk1),X_33),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(one)),bind(B,$fot(sk1)),bind(C,$fot(X_33))]]) ).
cnf(refute_0_681,plain,
join(sk1,one) = join(one,sk1),
inference(subst,[],[refute_0_4:[bind(A,$fot(one)),bind(B,$fot(sk1))]]) ).
cnf(refute_0_682,plain,
( join(sk1,one) != join(one,sk1)
| join(sk1,one) != one
| join(one,sk1) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,one),one) ),[0],$fot(join(one,sk1))]]) ).
cnf(refute_0_683,plain,
( join(sk1,one) != one
| join(one,sk1) = one ),
inference(resolve,[$cnf( $equal(join(sk1,one),join(one,sk1)) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
join(one,sk1) = one,
inference(resolve,[$cnf( $equal(join(sk1,one),one) )],[goals_14,refute_0_683]) ).
cnf(refute_0_685,plain,
( join(one,join(sk1,X_33)) != join(join(one,sk1),X_33)
| join(one,sk1) != one
| join(one,join(sk1,X_33)) = join(one,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,X_33)),join(join(one,sk1),X_33)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_686,plain,
( join(one,join(sk1,X_33)) != join(join(one,sk1),X_33)
| join(one,join(sk1,X_33)) = join(one,X_33) ),
inference(resolve,[$cnf( $equal(join(one,sk1),one) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
join(one,join(sk1,X_33)) = join(one,X_33),
inference(resolve,[$cnf( $equal(join(one,join(sk1,X_33)),join(join(one,sk1),X_33)) )],[refute_0_680,refute_0_686]) ).
cnf(refute_0_688,plain,
join(one,join(sk1,meet(one,complement(sk1)))) = join(one,meet(one,complement(sk1))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_689,plain,
X_97 = join(meet(X_97,complement(B)),complement(join(complement(X_97),complement(B)))),
inference(subst,[],[refute_0_152:[bind(A,$fot(X_97)),bind(B,$fot(complement(B)))]]) ).
cnf(refute_0_690,plain,
meet(X_97,B) = complement(join(complement(X_97),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_97))]]) ).
cnf(refute_0_691,plain,
( meet(X_97,B) != complement(join(complement(X_97),complement(B)))
| complement(join(complement(X_97),complement(B))) = meet(X_97,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_97,B))),bind(Y,$fot(complement(join(complement(X_97),complement(B)))))]]) ).
cnf(refute_0_692,plain,
complement(join(complement(X_97),complement(B))) = meet(X_97,B),
inference(resolve,[$cnf( $equal(meet(X_97,B),complement(join(complement(X_97),complement(B)))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
( X_97 != join(meet(X_97,complement(B)),complement(join(complement(X_97),complement(B))))
| complement(join(complement(X_97),complement(B))) != meet(X_97,B)
| X_97 = join(meet(X_97,complement(B)),meet(X_97,B)) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,complement(B)),complement(join(complement(X_97),complement(B))))) ),[1,1],$fot(meet(X_97,B))]]) ).
cnf(refute_0_694,plain,
( X_97 != join(meet(X_97,complement(B)),complement(join(complement(X_97),complement(B))))
| X_97 = join(meet(X_97,complement(B)),meet(X_97,B)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_97),complement(B))),meet(X_97,B)) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
X_97 = join(meet(X_97,complement(B)),meet(X_97,B)),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,complement(B)),complement(join(complement(X_97),complement(B))))) )],[refute_0_689,refute_0_694]) ).
cnf(refute_0_696,plain,
join(meet(X_97,complement(B)),meet(X_97,B)) = join(meet(X_97,B),meet(X_97,complement(B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(X_97,B))),bind(B,$fot(meet(X_97,complement(B))))]]) ).
cnf(refute_0_697,plain,
( X_97 != join(meet(X_97,complement(B)),meet(X_97,B))
| join(meet(X_97,complement(B)),meet(X_97,B)) != join(meet(X_97,B),meet(X_97,complement(B)))
| X_97 = join(meet(X_97,B),meet(X_97,complement(B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,join(meet(X_97,B),meet(X_97,complement(B)))) ),[0],$fot(join(meet(X_97,complement(B)),meet(X_97,B)))]]) ).
cnf(refute_0_698,plain,
( X_97 != join(meet(X_97,complement(B)),meet(X_97,B))
| X_97 = join(meet(X_97,B),meet(X_97,complement(B))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,complement(B)),meet(X_97,B)),join(meet(X_97,B),meet(X_97,complement(B)))) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
X_97 = join(meet(X_97,B),meet(X_97,complement(B))),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,complement(B)),meet(X_97,B))) )],[refute_0_695,refute_0_698]) ).
cnf(refute_0_700,plain,
one = join(meet(one,sk1),meet(one,complement(sk1))),
inference(subst,[],[refute_0_699:[bind(B,$fot(sk1)),bind(X_97,$fot(one))]]) ).
cnf(refute_0_701,plain,
X_97 = join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(join(complement(X_97),converse(join(one,complement(converse(join(complement(X_97),one)))))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(X_97)),bind(B,$fot(converse(join(one,complement(converse(join(complement(X_97),one)))))))]]) ).
cnf(refute_0_702,plain,
converse(join(converse(A),X_12)) = join(converse(converse(A)),converse(X_12)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(converse(A))),bind(B,$fot(X_12))]]) ).
cnf(refute_0_703,plain,
( converse(converse(A)) != A
| converse(join(converse(A),X_12)) != join(converse(converse(A)),converse(X_12))
| converse(join(converse(A),X_12)) = join(A,converse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),X_12)),join(converse(converse(A)),converse(X_12))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_704,plain,
( converse(join(converse(A),X_12)) != join(converse(converse(A)),converse(X_12))
| converse(join(converse(A),X_12)) = join(A,converse(X_12)) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_703]) ).
cnf(refute_0_705,plain,
converse(join(converse(A),X_12)) = join(A,converse(X_12)),
inference(resolve,[$cnf( $equal(converse(join(converse(A),X_12)),join(converse(converse(A)),converse(X_12))) )],[refute_0_702,refute_0_704]) ).
cnf(refute_0_706,plain,
converse(join(converse(X_15),complement(converse(X_15)))) = join(X_15,converse(complement(converse(X_15)))),
inference(subst,[],[refute_0_705:[bind(A,$fot(X_15)),bind(X_12,$fot(complement(converse(X_15))))]]) ).
cnf(refute_0_707,plain,
top = join(converse(X_15),complement(converse(X_15))),
inference(subst,[],[def_top_12:[bind(A,$fot(converse(X_15)))]]) ).
cnf(refute_0_708,plain,
( top != join(converse(X_15),complement(converse(X_15)))
| join(converse(X_15),complement(converse(X_15))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_15),complement(converse(X_15)))))]]) ).
cnf(refute_0_709,plain,
join(converse(X_15),complement(converse(X_15))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_15),complement(converse(X_15)))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
( converse(join(converse(X_15),complement(converse(X_15)))) != join(X_15,converse(complement(converse(X_15))))
| join(converse(X_15),complement(converse(X_15))) != top
| converse(top) = join(X_15,converse(complement(converse(X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_15),complement(converse(X_15)))),join(X_15,converse(complement(converse(X_15))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_711,plain,
( converse(join(converse(X_15),complement(converse(X_15)))) != join(X_15,converse(complement(converse(X_15))))
| converse(top) = join(X_15,converse(complement(converse(X_15)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_15),complement(converse(X_15))),top) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
converse(top) = join(X_15,converse(complement(converse(X_15)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_15),complement(converse(X_15)))),join(X_15,converse(complement(converse(X_15))))) )],[refute_0_706,refute_0_711]) ).
cnf(refute_0_713,plain,
converse(top) = join(join(X_31,X_32),converse(complement(converse(join(X_31,X_32))))),
inference(subst,[],[refute_0_712:[bind(X_15,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_714,plain,
join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32)))))) = join(join(X_31,X_32),converse(complement(converse(join(X_31,X_32))))),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_31)),bind(B,$fot(X_32)),bind(C,$fot(converse(complement(converse(join(X_31,X_32))))))]]) ).
cnf(refute_0_715,plain,
( join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32)))))) != join(join(X_31,X_32),converse(complement(converse(join(X_31,X_32)))))
| join(join(X_31,X_32),converse(complement(converse(join(X_31,X_32))))) = join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32)))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32)))))))),bind(Y,$fot(join(join(X_31,X_32),converse(complement(converse(join(X_31,X_32)))))))]]) ).
cnf(refute_0_716,plain,
join(join(X_31,X_32),converse(complement(converse(join(X_31,X_32))))) = join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32)))))),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32)))))),join(join(X_31,X_32),converse(complement(converse(join(X_31,X_32)))))) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
( converse(top) != join(join(X_31,X_32),converse(complement(converse(join(X_31,X_32)))))
| join(join(X_31,X_32),converse(complement(converse(join(X_31,X_32))))) != join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32))))))
| converse(top) = join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32))))))) ),[0],$fot(join(join(X_31,X_32),converse(complement(converse(join(X_31,X_32))))))]]) ).
cnf(refute_0_718,plain,
( converse(top) != join(join(X_31,X_32),converse(complement(converse(join(X_31,X_32)))))
| converse(top) = join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_31,X_32),converse(complement(converse(join(X_31,X_32))))),join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32))))))) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
converse(top) = join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_31,X_32),converse(complement(converse(join(X_31,X_32)))))) )],[refute_0_713,refute_0_718]) ).
cnf(refute_0_720,plain,
join(sk1,join(top,C)) = join(join(sk1,top),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk1)),bind(B,$fot(top))]]) ).
cnf(refute_0_721,plain,
join(one,join(sk1,X_34)) = join(one,X_34),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(X_34))]]) ).
cnf(refute_0_722,plain,
join(X_34,sk1) = join(sk1,X_34),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_34)),bind(B,$fot(sk1))]]) ).
cnf(refute_0_723,plain,
( join(X_34,sk1) != join(sk1,X_34)
| join(sk1,X_34) = join(X_34,sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_34,sk1))),bind(Y,$fot(join(sk1,X_34)))]]) ).
cnf(refute_0_724,plain,
join(sk1,X_34) = join(X_34,sk1),
inference(resolve,[$cnf( $equal(join(X_34,sk1),join(sk1,X_34)) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
( join(one,join(sk1,X_34)) != join(one,X_34)
| join(sk1,X_34) != join(X_34,sk1)
| join(one,join(X_34,sk1)) = join(one,X_34) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,X_34)),join(one,X_34)) ),[0,1],$fot(join(X_34,sk1))]]) ).
cnf(refute_0_726,plain,
( join(one,join(sk1,X_34)) != join(one,X_34)
| join(one,join(X_34,sk1)) = join(one,X_34) ),
inference(resolve,[$cnf( $equal(join(sk1,X_34),join(X_34,sk1)) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
join(one,join(X_34,sk1)) = join(one,X_34),
inference(resolve,[$cnf( $equal(join(one,join(sk1,X_34)),join(one,X_34)) )],[refute_0_721,refute_0_726]) ).
cnf(refute_0_728,plain,
join(one,join(complement(one),sk1)) = join(one,complement(one)),
inference(subst,[],[refute_0_727:[bind(X_34,$fot(complement(one)))]]) ).
cnf(refute_0_729,plain,
join(one,join(complement(one),sk1)) = join(top,sk1),
inference(subst,[],[refute_0_160:[bind(X_31,$fot(one)),bind(X_33,$fot(sk1))]]) ).
cnf(refute_0_730,plain,
( join(one,join(complement(one),sk1)) != join(one,complement(one))
| join(one,join(complement(one),sk1)) != join(top,sk1)
| join(top,sk1) = join(one,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),sk1)),join(one,complement(one))) ),[0],$fot(join(top,sk1))]]) ).
cnf(refute_0_731,plain,
( join(one,join(complement(one),sk1)) != join(one,complement(one))
| join(top,sk1) = join(one,complement(one)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),sk1)),join(top,sk1)) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
join(top,sk1) = join(one,complement(one)),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),sk1)),join(one,complement(one))) )],[refute_0_728,refute_0_731]) ).
cnf(refute_0_733,plain,
join(X_31,join(complement(X_22),join(zero,complement(complement(X_22))))) = join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_31)),bind(B,$fot(complement(X_22))),bind(C,$fot(join(zero,complement(complement(X_22)))))]]) ).
cnf(refute_0_734,plain,
top = join(complement(X_22),join(complement(complement(X_22)),meet(X_22,complement(X_22)))),
inference(subst,[],[refute_0_173:[bind(X_6,$fot(X_22)),bind(X_7,$fot(complement(X_22)))]]) ).
cnf(refute_0_735,plain,
zero = meet(X_22,complement(X_22)),
inference(subst,[],[def_zero_13:[bind(A,$fot(X_22))]]) ).
cnf(refute_0_736,plain,
( zero != meet(X_22,complement(X_22))
| meet(X_22,complement(X_22)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_22,complement(X_22))))]]) ).
cnf(refute_0_737,plain,
meet(X_22,complement(X_22)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_22,complement(X_22))) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
( meet(X_22,complement(X_22)) != zero
| top != join(complement(X_22),join(complement(complement(X_22)),meet(X_22,complement(X_22))))
| top = join(complement(X_22),join(complement(complement(X_22)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_22),join(complement(complement(X_22)),meet(X_22,complement(X_22))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_739,plain,
( top != join(complement(X_22),join(complement(complement(X_22)),meet(X_22,complement(X_22))))
| top = join(complement(X_22),join(complement(complement(X_22)),zero)) ),
inference(resolve,[$cnf( $equal(meet(X_22,complement(X_22)),zero) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
top = join(complement(X_22),join(complement(complement(X_22)),zero)),
inference(resolve,[$cnf( $equal(top,join(complement(X_22),join(complement(complement(X_22)),meet(X_22,complement(X_22))))) )],[refute_0_734,refute_0_739]) ).
cnf(refute_0_741,plain,
join(complement(complement(X_22)),zero) = join(zero,complement(complement(X_22))),
inference(subst,[],[refute_0_4:[bind(A,$fot(zero)),bind(B,$fot(complement(complement(X_22))))]]) ).
cnf(refute_0_742,plain,
join(complement(X_22),join(complement(complement(X_22)),zero)) = join(complement(X_22),join(complement(complement(X_22)),zero)),
introduced(tautology,[refl,[$fot(join(complement(X_22),join(complement(complement(X_22)),zero)))]]) ).
cnf(refute_0_743,plain,
( join(complement(X_22),join(complement(complement(X_22)),zero)) != join(complement(X_22),join(complement(complement(X_22)),zero))
| join(complement(complement(X_22)),zero) != join(zero,complement(complement(X_22)))
| join(complement(X_22),join(complement(complement(X_22)),zero)) = join(complement(X_22),join(zero,complement(complement(X_22)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_22),join(complement(complement(X_22)),zero)),join(complement(X_22),join(complement(complement(X_22)),zero))) ),[1,1],$fot(join(zero,complement(complement(X_22))))]]) ).
cnf(refute_0_744,plain,
( join(complement(complement(X_22)),zero) != join(zero,complement(complement(X_22)))
| join(complement(X_22),join(complement(complement(X_22)),zero)) = join(complement(X_22),join(zero,complement(complement(X_22)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_22),join(complement(complement(X_22)),zero)),join(complement(X_22),join(complement(complement(X_22)),zero))) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
join(complement(X_22),join(complement(complement(X_22)),zero)) = join(complement(X_22),join(zero,complement(complement(X_22)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_22)),zero),join(zero,complement(complement(X_22)))) )],[refute_0_741,refute_0_744]) ).
cnf(refute_0_746,plain,
( join(complement(X_22),join(complement(complement(X_22)),zero)) != join(complement(X_22),join(zero,complement(complement(X_22))))
| top != join(complement(X_22),join(complement(complement(X_22)),zero))
| top = join(complement(X_22),join(zero,complement(complement(X_22)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_22),join(complement(complement(X_22)),zero))) ),[1],$fot(join(complement(X_22),join(zero,complement(complement(X_22)))))]]) ).
cnf(refute_0_747,plain,
( top != join(complement(X_22),join(complement(complement(X_22)),zero))
| top = join(complement(X_22),join(zero,complement(complement(X_22)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_22),join(complement(complement(X_22)),zero)),join(complement(X_22),join(zero,complement(complement(X_22))))) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
top = join(complement(X_22),join(zero,complement(complement(X_22)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_22),join(complement(complement(X_22)),zero))) )],[refute_0_740,refute_0_747]) ).
cnf(refute_0_749,plain,
( top != join(complement(X_22),join(zero,complement(complement(X_22))))
| join(complement(X_22),join(zero,complement(complement(X_22)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_22),join(zero,complement(complement(X_22))))))]]) ).
cnf(refute_0_750,plain,
join(complement(X_22),join(zero,complement(complement(X_22)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_22),join(zero,complement(complement(X_22))))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
( join(X_31,join(complement(X_22),join(zero,complement(complement(X_22))))) != join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22))))
| join(complement(X_22),join(zero,complement(complement(X_22)))) != top
| join(X_31,top) = join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,join(complement(X_22),join(zero,complement(complement(X_22))))),join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_752,plain,
( join(X_31,join(complement(X_22),join(zero,complement(complement(X_22))))) != join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22))))
| join(X_31,top) = join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_22),join(zero,complement(complement(X_22)))),top) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
join(X_31,top) = join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))),
inference(resolve,[$cnf( $equal(join(X_31,join(complement(X_22),join(zero,complement(complement(X_22))))),join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22))))) )],[refute_0_733,refute_0_752]) ).
cnf(refute_0_754,plain,
join(complement(complement(X_22)),join(X_31,complement(X_22))) = join(complement(X_22),join(complement(complement(X_22)),X_31)),
inference(subst,[],[refute_0_271:[bind(A,$fot(complement(X_22))),bind(X_31,$fot(complement(complement(X_22)))),bind(X_32,$fot(X_31))]]) ).
cnf(refute_0_755,plain,
join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))) = join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))))]]) ).
cnf(refute_0_756,plain,
( join(complement(complement(X_22)),join(X_31,complement(X_22))) != join(complement(X_22),join(complement(complement(X_22)),X_31))
| join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))) != join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22))))
| join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))) = join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))),join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22))))) ),[1,1],$fot(join(complement(X_22),join(complement(complement(X_22)),X_31)))]]) ).
cnf(refute_0_757,plain,
( join(complement(complement(X_22)),join(X_31,complement(X_22))) != join(complement(X_22),join(complement(complement(X_22)),X_31))
| join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))) = join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))),join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22))))) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))) = join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_22)),join(X_31,complement(X_22))),join(complement(X_22),join(complement(complement(X_22)),X_31))) )],[refute_0_754,refute_0_757]) ).
cnf(refute_0_759,plain,
join(complement(complement(X_22)),join(join(X_31,complement(X_22)),zero)) = join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))),
inference(subst,[],[refute_0_271:[bind(A,$fot(zero)),bind(X_31,$fot(complement(complement(X_22)))),bind(X_32,$fot(join(X_31,complement(X_22))))]]) ).
cnf(refute_0_760,plain,
join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))) = join(complement(complement(X_22)),join(join(X_31,complement(X_22)),zero)),
inference(subst,[],[refute_0_271:[bind(A,$fot(complement(complement(X_22)))),bind(X_31,$fot(join(X_31,complement(X_22)))),bind(X_32,$fot(zero))]]) ).
cnf(refute_0_761,plain,
( join(complement(complement(X_22)),join(join(X_31,complement(X_22)),zero)) != join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22))))
| join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))) != join(complement(complement(X_22)),join(join(X_31,complement(X_22)),zero))
| join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))) = join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))))),bind(Y,$fot(join(complement(complement(X_22)),join(join(X_31,complement(X_22)),zero)))),bind(Z,$fot(join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22))))))]]) ).
cnf(refute_0_762,plain,
( join(complement(complement(X_22)),join(join(X_31,complement(X_22)),zero)) != join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22))))
| join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))) = join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))) ),
inference(resolve,[$cnf( $equal(join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))),join(complement(complement(X_22)),join(join(X_31,complement(X_22)),zero))) )],[refute_0_760,refute_0_761]) ).
cnf(refute_0_763,plain,
join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))) = join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_22)),join(join(X_31,complement(X_22)),zero)),join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22))))) )],[refute_0_759,refute_0_762]) ).
cnf(refute_0_764,plain,
( join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))) != join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22))))
| join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))) != join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31)))
| join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))) = join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))))),bind(Y,$fot(join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))))),bind(Z,$fot(join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31)))))]]) ).
cnf(refute_0_765,plain,
( join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))) != join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31)))
| join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))) = join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) ),
inference(resolve,[$cnf( $equal(join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))),join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22))))) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))) = join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_22)),join(X_31,complement(X_22)))),join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31)))) )],[refute_0_758,refute_0_765]) ).
cnf(refute_0_767,plain,
( join(X_31,top) != join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22))))
| join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))) != join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31)))
| join(X_31,top) = join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_31,top),join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31)))) ),[0],$fot(join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))))]]) ).
cnf(refute_0_768,plain,
( join(X_31,top) != join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22))))
| join(X_31,top) = join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) ),
inference(resolve,[$cnf( $equal(join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22)))),join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31)))) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
join(X_31,top) = join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))),
inference(resolve,[$cnf( $equal(join(X_31,top),join(join(X_31,complement(X_22)),join(zero,complement(complement(X_22))))) )],[refute_0_753,refute_0_768]) ).
cnf(refute_0_770,plain,
join(complement(X_22),join(complement(complement(X_22)),X_31)) = join(top,X_31),
inference(subst,[],[refute_0_160:[bind(X_31,$fot(complement(X_22))),bind(X_33,$fot(X_31))]]) ).
cnf(refute_0_771,plain,
join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) = join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))))]]) ).
cnf(refute_0_772,plain,
( join(complement(X_22),join(complement(complement(X_22)),X_31)) != join(top,X_31)
| join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) != join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31)))
| join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) = join(zero,join(top,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))),join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31)))) ),[1,1],$fot(join(top,X_31))]]) ).
cnf(refute_0_773,plain,
( join(complement(X_22),join(complement(complement(X_22)),X_31)) != join(top,X_31)
| join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) = join(zero,join(top,X_31)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))),join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31)))) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) = join(zero,join(top,X_31)),
inference(resolve,[$cnf( $equal(join(complement(X_22),join(complement(complement(X_22)),X_31)),join(top,X_31)) )],[refute_0_770,refute_0_773]) ).
cnf(refute_0_775,plain,
( join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) != join(zero,join(top,X_31))
| join(zero,join(top,X_31)) != join(top,X_31)
| join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) = join(top,X_31) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))))),bind(Y,$fot(join(zero,join(top,X_31)))),bind(Z,$fot(join(top,X_31)))]]) ).
cnf(refute_0_776,plain,
( join(zero,join(top,X_31)) != join(top,X_31)
| join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) = join(top,X_31) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))),join(zero,join(top,X_31))) )],[refute_0_774,refute_0_775]) ).
cnf(refute_0_777,plain,
join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) = join(top,X_31),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_31)),join(top,X_31)) )],[refute_0_350,refute_0_776]) ).
cnf(refute_0_778,plain,
( join(X_31,top) != join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31)))
| join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))) != join(top,X_31)
| join(X_31,top) = join(top,X_31) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_31,top),join(top,X_31)) ),[0],$fot(join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))))]]) ).
cnf(refute_0_779,plain,
( join(X_31,top) != join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31)))
| join(X_31,top) = join(top,X_31) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31))),join(top,X_31)) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
join(X_31,top) = join(top,X_31),
inference(resolve,[$cnf( $equal(join(X_31,top),join(zero,join(complement(X_22),join(complement(complement(X_22)),X_31)))) )],[refute_0_769,refute_0_779]) ).
cnf(refute_0_781,plain,
( join(X_31,top) != join(top,X_31)
| join(top,X_31) = join(X_31,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_31,top))),bind(Y,$fot(join(top,X_31)))]]) ).
cnf(refute_0_782,plain,
join(top,X_31) = join(X_31,top),
inference(resolve,[$cnf( $equal(join(X_31,top),join(top,X_31)) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
join(top,sk1) = join(sk1,top),
inference(subst,[],[refute_0_782:[bind(X_31,$fot(sk1))]]) ).
cnf(refute_0_784,plain,
( join(top,sk1) != join(one,complement(one))
| join(top,sk1) != join(sk1,top)
| join(sk1,top) = join(one,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,sk1),join(one,complement(one))) ),[0],$fot(join(sk1,top))]]) ).
cnf(refute_0_785,plain,
( join(top,sk1) != join(one,complement(one))
| join(sk1,top) = join(one,complement(one)) ),
inference(resolve,[$cnf( $equal(join(top,sk1),join(sk1,top)) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
join(one,complement(one)) = top,
inference(subst,[],[refute_0_180:[bind(A,$fot(one))]]) ).
cnf(refute_0_787,plain,
( join(one,complement(one)) != top
| join(sk1,top) != join(one,complement(one))
| join(sk1,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,top),join(one,complement(one))) ),[1],$fot(top)]]) ).
cnf(refute_0_788,plain,
( join(sk1,top) != join(one,complement(one))
| join(sk1,top) = top ),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
( join(top,sk1) != join(one,complement(one))
| join(sk1,top) = top ),
inference(resolve,[$cnf( $equal(join(sk1,top),join(one,complement(one))) )],[refute_0_785,refute_0_788]) ).
cnf(refute_0_790,plain,
join(sk1,top) = top,
inference(resolve,[$cnf( $equal(join(top,sk1),join(one,complement(one))) )],[refute_0_732,refute_0_789]) ).
cnf(refute_0_791,plain,
( join(sk1,join(top,C)) != join(join(sk1,top),C)
| join(sk1,top) != top
| join(sk1,join(top,C)) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(top,C)),join(join(sk1,top),C)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_792,plain,
( join(sk1,join(top,C)) != join(join(sk1,top),C)
| join(sk1,join(top,C)) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(sk1,top),top) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
join(sk1,join(top,C)) = join(top,C),
inference(resolve,[$cnf( $equal(join(sk1,join(top,C)),join(join(sk1,top),C)) )],[refute_0_720,refute_0_792]) ).
cnf(refute_0_794,plain,
join(sk1,join(top,converse(complement(converse(top))))) = join(top,converse(complement(converse(top)))),
inference(subst,[],[refute_0_793:[bind(C,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_795,plain,
converse(top) = join(top,converse(complement(converse(top)))),
inference(subst,[],[refute_0_712:[bind(X_15,$fot(top))]]) ).
cnf(refute_0_796,plain,
( converse(top) != join(top,converse(complement(converse(top))))
| join(top,converse(complement(converse(top)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,converse(complement(converse(top))))))]]) ).
cnf(refute_0_797,plain,
join(top,converse(complement(converse(top)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(complement(converse(top))))) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
( join(sk1,join(top,converse(complement(converse(top))))) != join(top,converse(complement(converse(top))))
| join(top,converse(complement(converse(top)))) != converse(top)
| join(sk1,converse(top)) = join(top,converse(complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(top,converse(complement(converse(top))))),join(top,converse(complement(converse(top))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_799,plain,
( join(sk1,join(top,converse(complement(converse(top))))) != join(top,converse(complement(converse(top))))
| join(sk1,converse(top)) = join(top,converse(complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(top)))),converse(top)) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
join(sk1,converse(top)) = join(top,converse(complement(converse(top)))),
inference(resolve,[$cnf( $equal(join(sk1,join(top,converse(complement(converse(top))))),join(top,converse(complement(converse(top))))) )],[refute_0_794,refute_0_799]) ).
cnf(refute_0_801,plain,
( join(sk1,converse(top)) != join(top,converse(complement(converse(top))))
| join(top,converse(complement(converse(top)))) != converse(top)
| join(sk1,converse(top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,converse(top)),converse(top)) ),[0],$fot(join(top,converse(complement(converse(top)))))]]) ).
cnf(refute_0_802,plain,
( join(sk1,converse(top)) != join(top,converse(complement(converse(top))))
| join(sk1,converse(top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(top)))),converse(top)) )],[refute_0_797,refute_0_801]) ).
cnf(refute_0_803,plain,
join(sk1,converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(join(sk1,converse(top)),join(top,converse(complement(converse(top))))) )],[refute_0_800,refute_0_802]) ).
cnf(refute_0_804,plain,
join(X_39,join(complement(X_39),converse(complement(converse(complement(X_39)))))) = join(top,converse(complement(converse(complement(X_39))))),
inference(subst,[],[refute_0_160:[bind(X_31,$fot(X_39)),bind(X_33,$fot(converse(complement(converse(complement(X_39))))))]]) ).
cnf(refute_0_805,plain,
converse(top) = join(complement(X_39),converse(complement(converse(complement(X_39))))),
inference(subst,[],[refute_0_712:[bind(X_15,$fot(complement(X_39)))]]) ).
cnf(refute_0_806,plain,
( converse(top) != join(complement(X_39),converse(complement(converse(complement(X_39)))))
| join(complement(X_39),converse(complement(converse(complement(X_39))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_39),converse(complement(converse(complement(X_39)))))))]]) ).
cnf(refute_0_807,plain,
join(complement(X_39),converse(complement(converse(complement(X_39))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_39),converse(complement(converse(complement(X_39)))))) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
( join(X_39,join(complement(X_39),converse(complement(converse(complement(X_39)))))) != join(top,converse(complement(converse(complement(X_39)))))
| join(complement(X_39),converse(complement(converse(complement(X_39))))) != converse(top)
| join(X_39,converse(top)) = join(top,converse(complement(converse(complement(X_39))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,join(complement(X_39),converse(complement(converse(complement(X_39)))))),join(top,converse(complement(converse(complement(X_39)))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_809,plain,
( join(X_39,join(complement(X_39),converse(complement(converse(complement(X_39)))))) != join(top,converse(complement(converse(complement(X_39)))))
| join(X_39,converse(top)) = join(top,converse(complement(converse(complement(X_39))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),converse(complement(converse(complement(X_39))))),converse(top)) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
join(X_39,converse(top)) = join(top,converse(complement(converse(complement(X_39))))),
inference(resolve,[$cnf( $equal(join(X_39,join(complement(X_39),converse(complement(converse(complement(X_39)))))),join(top,converse(complement(converse(complement(X_39)))))) )],[refute_0_804,refute_0_809]) ).
cnf(refute_0_811,plain,
join(top,converse(complement(converse(complement(X_39))))) = top,
inference(subst,[],[refute_0_459:[bind(X_31,$fot(converse(complement(converse(complement(X_39))))))]]) ).
cnf(refute_0_812,plain,
( join(X_39,converse(top)) != join(top,converse(complement(converse(complement(X_39)))))
| join(top,converse(complement(converse(complement(X_39))))) != top
| join(X_39,converse(top)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_39,converse(top)),top) ),[0],$fot(join(top,converse(complement(converse(complement(X_39))))))]]) ).
cnf(refute_0_813,plain,
( join(X_39,converse(top)) != join(top,converse(complement(converse(complement(X_39)))))
| join(X_39,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(complement(X_39))))),top) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
join(X_39,converse(top)) = top,
inference(resolve,[$cnf( $equal(join(X_39,converse(top)),join(top,converse(complement(converse(complement(X_39)))))) )],[refute_0_810,refute_0_813]) ).
cnf(refute_0_815,plain,
join(sk1,converse(top)) = top,
inference(subst,[],[refute_0_814:[bind(X_39,$fot(sk1))]]) ).
cnf(refute_0_816,plain,
( join(sk1,converse(top)) != converse(top)
| join(sk1,converse(top)) != top
| top = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(top)),converse(top)) ),[0],$fot(top)]]) ).
cnf(refute_0_817,plain,
( join(sk1,converse(top)) != converse(top)
| top = converse(top) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(top)),top) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
top = converse(top),
inference(resolve,[$cnf( $equal(join(sk1,converse(top)),converse(top)) )],[refute_0_803,refute_0_817]) ).
cnf(refute_0_819,plain,
( top != converse(top)
| converse(top) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(top)))]]) ).
cnf(refute_0_820,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(top,converse(top)) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
( converse(top) != join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32))))))
| converse(top) != top
| top = join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_822,plain,
( converse(top) != join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32))))))
| top = join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
top = join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_31,join(X_32,converse(complement(converse(join(X_31,X_32))))))) )],[refute_0_719,refute_0_822]) ).
cnf(refute_0_824,plain,
top = join(X_77,join(one,converse(complement(converse(join(X_77,one)))))),
inference(subst,[],[refute_0_823:[bind(X_31,$fot(X_77)),bind(X_32,$fot(one))]]) ).
cnf(refute_0_825,plain,
converse(join(converse(one),X_12)) = join(one,converse(X_12)),
inference(subst,[],[refute_0_705:[bind(A,$fot(one))]]) ).
cnf(refute_0_826,plain,
( converse(join(converse(one),X_12)) != join(one,converse(X_12))
| converse(one) != one
| converse(join(one,X_12)) = join(one,converse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_12)),join(one,converse(X_12))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_827,plain,
( converse(join(converse(one),X_12)) != join(one,converse(X_12))
| converse(join(one,X_12)) = join(one,converse(X_12)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_826]) ).
cnf(refute_0_828,plain,
converse(join(one,X_12)) = join(one,converse(X_12)),
inference(resolve,[$cnf( $equal(converse(join(converse(one),X_12)),join(one,converse(X_12))) )],[refute_0_825,refute_0_827]) ).
cnf(refute_0_829,plain,
converse(join(one,complement(converse(join(X_77,one))))) = join(one,converse(complement(converse(join(X_77,one))))),
inference(subst,[],[refute_0_828:[bind(X_12,$fot(complement(converse(join(X_77,one)))))]]) ).
cnf(refute_0_830,plain,
( converse(join(one,complement(converse(join(X_77,one))))) != join(one,converse(complement(converse(join(X_77,one)))))
| join(one,converse(complement(converse(join(X_77,one))))) = converse(join(one,complement(converse(join(X_77,one))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,complement(converse(join(X_77,one))))))),bind(Y,$fot(join(one,converse(complement(converse(join(X_77,one)))))))]]) ).
cnf(refute_0_831,plain,
join(one,converse(complement(converse(join(X_77,one))))) = converse(join(one,complement(converse(join(X_77,one))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(X_77,one))))),join(one,converse(complement(converse(join(X_77,one)))))) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
( join(one,converse(complement(converse(join(X_77,one))))) != converse(join(one,complement(converse(join(X_77,one)))))
| top != join(X_77,join(one,converse(complement(converse(join(X_77,one))))))
| top = join(X_77,converse(join(one,complement(converse(join(X_77,one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_77,join(one,converse(complement(converse(join(X_77,one))))))) ),[1,1],$fot(converse(join(one,complement(converse(join(X_77,one))))))]]) ).
cnf(refute_0_833,plain,
( top != join(X_77,join(one,converse(complement(converse(join(X_77,one))))))
| top = join(X_77,converse(join(one,complement(converse(join(X_77,one)))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(join(X_77,one))))),converse(join(one,complement(converse(join(X_77,one)))))) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
top = join(X_77,converse(join(one,complement(converse(join(X_77,one)))))),
inference(resolve,[$cnf( $equal(top,join(X_77,join(one,converse(complement(converse(join(X_77,one))))))) )],[refute_0_824,refute_0_833]) ).
cnf(refute_0_835,plain,
top = join(complement(X_97),converse(join(one,complement(converse(join(complement(X_97),one)))))),
inference(subst,[],[refute_0_834:[bind(X_77,$fot(complement(X_97)))]]) ).
cnf(refute_0_836,plain,
( top != join(complement(X_97),converse(join(one,complement(converse(join(complement(X_97),one))))))
| join(complement(X_97),converse(join(one,complement(converse(join(complement(X_97),one)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_97),converse(join(one,complement(converse(join(complement(X_97),one))))))))]]) ).
cnf(refute_0_837,plain,
join(complement(X_97),converse(join(one,complement(converse(join(complement(X_97),one)))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_97),converse(join(one,complement(converse(join(complement(X_97),one))))))) )],[refute_0_835,refute_0_836]) ).
cnf(refute_0_838,plain,
( X_97 != join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(join(complement(X_97),converse(join(one,complement(converse(join(complement(X_97),one))))))))
| join(complement(X_97),converse(join(one,complement(converse(join(complement(X_97),one)))))) != top
| X_97 = join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(join(complement(X_97),converse(join(one,complement(converse(join(complement(X_97),one))))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_839,plain,
( X_97 != join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(join(complement(X_97),converse(join(one,complement(converse(join(complement(X_97),one))))))))
| X_97 = join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_97),converse(join(one,complement(converse(join(complement(X_97),one)))))),top) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
X_97 = join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top)),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(join(complement(X_97),converse(join(one,complement(converse(join(complement(X_97),one))))))))) )],[refute_0_701,refute_0_839]) ).
cnf(refute_0_841,plain,
join(converse(X_12),converse(X_11)) = join(converse(X_11),converse(X_12)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(converse(X_12))),bind(B,$fot(converse(X_11)))]]) ).
cnf(refute_0_842,plain,
converse(join(X_11,X_12)) = join(converse(X_11),converse(X_12)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(X_11)),bind(B,$fot(X_12))]]) ).
cnf(refute_0_843,plain,
( converse(join(X_11,X_12)) != join(converse(X_11),converse(X_12))
| join(converse(X_11),converse(X_12)) = converse(join(X_11,X_12)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_11,X_12)))),bind(Y,$fot(join(converse(X_11),converse(X_12))))]]) ).
cnf(refute_0_844,plain,
join(converse(X_11),converse(X_12)) = converse(join(X_11,X_12)),
inference(resolve,[$cnf( $equal(converse(join(X_11,X_12)),join(converse(X_11),converse(X_12))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
( join(converse(X_11),converse(X_12)) != converse(join(X_11,X_12))
| join(converse(X_12),converse(X_11)) != join(converse(X_11),converse(X_12))
| join(converse(X_12),converse(X_11)) = converse(join(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_12),converse(X_11)),join(converse(X_11),converse(X_12))) ),[1],$fot(converse(join(X_11,X_12)))]]) ).
cnf(refute_0_846,plain,
( join(converse(X_12),converse(X_11)) != join(converse(X_11),converse(X_12))
| join(converse(X_12),converse(X_11)) = converse(join(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(join(converse(X_11),converse(X_12)),converse(join(X_11,X_12))) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
join(converse(X_12),converse(X_11)) = converse(join(X_11,X_12)),
inference(resolve,[$cnf( $equal(join(converse(X_12),converse(X_11)),join(converse(X_11),converse(X_12))) )],[refute_0_841,refute_0_846]) ).
cnf(refute_0_848,plain,
( converse(join(A,B)) != join(converse(A),converse(B))
| join(converse(A),converse(B)) = converse(join(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(A,B)))),bind(Y,$fot(join(converse(A),converse(B))))]]) ).
cnf(refute_0_849,plain,
join(converse(A),converse(B)) = converse(join(A,B)),
inference(resolve,[$cnf( $equal(converse(join(A,B)),join(converse(A),converse(B))) )],[converse_additivity_9,refute_0_848]) ).
cnf(refute_0_850,plain,
join(converse(X_12),converse(X_11)) = converse(join(X_12,X_11)),
inference(subst,[],[refute_0_849:[bind(A,$fot(X_12)),bind(B,$fot(X_11))]]) ).
cnf(refute_0_851,plain,
( join(converse(X_12),converse(X_11)) != converse(join(X_11,X_12))
| join(converse(X_12),converse(X_11)) != converse(join(X_12,X_11))
| converse(join(X_12,X_11)) = converse(join(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_12),converse(X_11)),converse(join(X_11,X_12))) ),[0],$fot(converse(join(X_12,X_11)))]]) ).
cnf(refute_0_852,plain,
( join(converse(X_12),converse(X_11)) != converse(join(X_11,X_12))
| converse(join(X_12,X_11)) = converse(join(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(join(converse(X_12),converse(X_11)),converse(join(X_12,X_11))) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
converse(join(X_12,X_11)) = converse(join(X_11,X_12)),
inference(resolve,[$cnf( $equal(join(converse(X_12),converse(X_11)),converse(join(X_11,X_12))) )],[refute_0_847,refute_0_852]) ).
cnf(refute_0_854,plain,
( converse(join(X_12,X_11)) != converse(join(X_11,X_12))
| converse(join(X_11,X_12)) = converse(join(X_12,X_11)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_12,X_11)))),bind(Y,$fot(converse(join(X_11,X_12))))]]) ).
cnf(refute_0_855,plain,
converse(join(X_11,X_12)) = converse(join(X_12,X_11)),
inference(resolve,[$cnf( $equal(converse(join(X_12,X_11)),converse(join(X_11,X_12))) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
converse(join(complement(X_97),one)) = converse(join(one,complement(X_97))),
inference(subst,[],[refute_0_855:[bind(X_11,$fot(complement(X_97))),bind(X_12,$fot(one))]]) ).
cnf(refute_0_857,plain,
complement(converse(join(complement(X_97),one))) = complement(converse(join(complement(X_97),one))),
introduced(tautology,[refl,[$fot(complement(converse(join(complement(X_97),one))))]]) ).
cnf(refute_0_858,plain,
( complement(converse(join(complement(X_97),one))) != complement(converse(join(complement(X_97),one)))
| converse(join(complement(X_97),one)) != converse(join(one,complement(X_97)))
| complement(converse(join(complement(X_97),one))) = complement(converse(join(one,complement(X_97)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(X_97),one))),complement(converse(join(complement(X_97),one)))) ),[1,0],$fot(converse(join(one,complement(X_97))))]]) ).
cnf(refute_0_859,plain,
( converse(join(complement(X_97),one)) != converse(join(one,complement(X_97)))
| complement(converse(join(complement(X_97),one))) = complement(converse(join(one,complement(X_97)))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(X_97),one))),complement(converse(join(complement(X_97),one)))) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
complement(converse(join(complement(X_97),one))) = complement(converse(join(one,complement(X_97)))),
inference(resolve,[$cnf( $equal(converse(join(complement(X_97),one)),converse(join(one,complement(X_97)))) )],[refute_0_856,refute_0_859]) ).
cnf(refute_0_861,plain,
join(one,complement(converse(join(complement(X_97),one)))) = join(one,complement(converse(join(complement(X_97),one)))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(join(complement(X_97),one)))))]]) ).
cnf(refute_0_862,plain,
( complement(converse(join(complement(X_97),one))) != complement(converse(join(one,complement(X_97))))
| join(one,complement(converse(join(complement(X_97),one)))) != join(one,complement(converse(join(complement(X_97),one))))
| join(one,complement(converse(join(complement(X_97),one)))) = join(one,complement(converse(join(one,complement(X_97))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(join(complement(X_97),one)))),join(one,complement(converse(join(complement(X_97),one))))) ),[1,1],$fot(complement(converse(join(one,complement(X_97)))))]]) ).
cnf(refute_0_863,plain,
( complement(converse(join(complement(X_97),one))) != complement(converse(join(one,complement(X_97))))
| join(one,complement(converse(join(complement(X_97),one)))) = join(one,complement(converse(join(one,complement(X_97))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(complement(X_97),one)))),join(one,complement(converse(join(complement(X_97),one))))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
join(one,complement(converse(join(complement(X_97),one)))) = join(one,complement(converse(join(one,complement(X_97))))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(X_97),one))),complement(converse(join(one,complement(X_97))))) )],[refute_0_860,refute_0_863]) ).
cnf(refute_0_865,plain,
converse(join(one,complement(converse(join(complement(X_97),one))))) = converse(join(one,complement(converse(join(complement(X_97),one))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(join(complement(X_97),one))))))]]) ).
cnf(refute_0_866,plain,
( converse(join(one,complement(converse(join(complement(X_97),one))))) != converse(join(one,complement(converse(join(complement(X_97),one)))))
| join(one,complement(converse(join(complement(X_97),one)))) != join(one,complement(converse(join(one,complement(X_97)))))
| converse(join(one,complement(converse(join(complement(X_97),one))))) = converse(join(one,complement(converse(join(one,complement(X_97)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(join(complement(X_97),one))))),converse(join(one,complement(converse(join(complement(X_97),one)))))) ),[1,0],$fot(join(one,complement(converse(join(one,complement(X_97))))))]]) ).
cnf(refute_0_867,plain,
( join(one,complement(converse(join(complement(X_97),one)))) != join(one,complement(converse(join(one,complement(X_97)))))
| converse(join(one,complement(converse(join(complement(X_97),one))))) = converse(join(one,complement(converse(join(one,complement(X_97)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(complement(X_97),one))))),converse(join(one,complement(converse(join(complement(X_97),one)))))) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
converse(join(one,complement(converse(join(complement(X_97),one))))) = converse(join(one,complement(converse(join(one,complement(X_97)))))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(complement(X_97),one)))),join(one,complement(converse(join(one,complement(X_97)))))) )],[refute_0_864,refute_0_867]) ).
cnf(refute_0_869,plain,
meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))) = meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),
introduced(tautology,[refl,[$fot(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))))]]) ).
cnf(refute_0_870,plain,
( converse(join(one,complement(converse(join(complement(X_97),one))))) != converse(join(one,complement(converse(join(one,complement(X_97))))))
| meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))) != meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))
| meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))) = meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) ),[1,1],$fot(converse(join(one,complement(converse(join(one,complement(X_97)))))))]]) ).
cnf(refute_0_871,plain,
( converse(join(one,complement(converse(join(complement(X_97),one))))) != converse(join(one,complement(converse(join(one,complement(X_97))))))
| meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))) = meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))) ),
inference(resolve,[$cnf( $equal(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))) = meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(complement(X_97),one))))),converse(join(one,complement(converse(join(one,complement(X_97))))))) )],[refute_0_868,refute_0_871]) ).
cnf(refute_0_873,plain,
join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) = join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))))]]) ).
cnf(refute_0_874,plain,
( join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) != join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))))
| meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))) != meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))
| join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) = join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))),join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))))) ),[1,1],$fot(meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))]]) ).
cnf(refute_0_875,plain,
( meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))) != meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))
| join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) = join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))),join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))))) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) = join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))),
inference(resolve,[$cnf( $equal(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))) )],[refute_0_872,refute_0_875]) ).
cnf(refute_0_877,plain,
join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) = join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))))]]) ).
cnf(refute_0_878,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) != join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))))
| join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) = join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))),join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_879,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) = join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))),join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))))) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) = join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_879]) ).
cnf(refute_0_881,plain,
( join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) != join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))))
| join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) != join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))
| join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) = join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))))),bind(Y,$fot(join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))))),bind(Z,$fot(join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))))]]) ).
cnf(refute_0_882,plain,
( join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) != join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))
| join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) = join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))),join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))))) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) = join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))),join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))) )],[refute_0_876,refute_0_882]) ).
cnf(refute_0_884,plain,
join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top)) = join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))))]]) ).
cnf(refute_0_885,plain,
( join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) != join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))
| join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top)) != join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))))
| join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top)) = join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))))),bind(Z,$fot(join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))))]]) ).
cnf(refute_0_886,plain,
( join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))) != join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))
| join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top)) = join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top)),join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))))) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top)) = join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one))))))),join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))) )],[refute_0_883,refute_0_886]) ).
cnf(refute_0_888,plain,
( X_97 != join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top))
| join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top)) != join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))
| X_97 = join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))) ),[0],$fot(join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top)))]]) ).
cnf(refute_0_889,plain,
( X_97 != join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top))
| X_97 = join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top)),join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))) )],[refute_0_887,refute_0_888]) ).
cnf(refute_0_890,plain,
X_97 = join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,converse(join(one,complement(converse(join(complement(X_97),one)))))),complement(top))) )],[refute_0_840,refute_0_889]) ).
cnf(refute_0_891,plain,
join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))) = meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))))]]) ).
cnf(refute_0_892,plain,
( X_97 != join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))
| join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))) != meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))
| X_97 = meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))) ),[0],$fot(join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))))]]) ).
cnf(refute_0_893,plain,
( X_97 != join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))
| X_97 = meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))),meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97)))))))) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
X_97 = meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))),
inference(resolve,[$cnf( $equal(X_97,join(zero,meet(X_97,converse(join(one,complement(converse(join(one,complement(X_97))))))))) )],[refute_0_890,refute_0_893]) ).
cnf(refute_0_895,plain,
sk1 = meet(sk1,converse(join(one,complement(converse(join(one,complement(sk1))))))),
inference(subst,[],[refute_0_894:[bind(X_97,$fot(sk1))]]) ).
cnf(refute_0_896,plain,
join(one,join(sk1,complement(sk1))) = join(one,complement(sk1)),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(complement(sk1)))]]) ).
cnf(refute_0_897,plain,
top = join(sk1,complement(sk1)),
inference(subst,[],[def_top_12:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_898,plain,
( top != join(sk1,complement(sk1))
| join(sk1,complement(sk1)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,complement(sk1))))]]) ).
cnf(refute_0_899,plain,
join(sk1,complement(sk1)) = top,
inference(resolve,[$cnf( $equal(top,join(sk1,complement(sk1))) )],[refute_0_897,refute_0_898]) ).
cnf(refute_0_900,plain,
( join(one,join(sk1,complement(sk1))) != join(one,complement(sk1))
| join(sk1,complement(sk1)) != top
| join(one,top) = join(one,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,complement(sk1))),join(one,complement(sk1))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_901,plain,
( join(one,join(sk1,complement(sk1))) != join(one,complement(sk1))
| join(one,top) = join(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(sk1)),top) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
join(one,top) = join(one,complement(sk1)),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(sk1))),join(one,complement(sk1))) )],[refute_0_896,refute_0_901]) ).
cnf(refute_0_903,plain,
join(one,top) = top,
inference(subst,[],[refute_0_319:[bind(X_39,$fot(one))]]) ).
cnf(refute_0_904,plain,
( join(one,top) != join(one,complement(sk1))
| join(one,top) != top
| top = join(one,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,complement(sk1))) ),[0],$fot(top)]]) ).
cnf(refute_0_905,plain,
( join(one,top) != join(one,complement(sk1))
| top = join(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
top = join(one,complement(sk1)),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(sk1))) )],[refute_0_902,refute_0_905]) ).
cnf(refute_0_907,plain,
( top != join(one,complement(sk1))
| join(one,complement(sk1)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(sk1))))]]) ).
cnf(refute_0_908,plain,
join(one,complement(sk1)) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(sk1))) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
( join(one,complement(sk1)) != top
| sk1 != meet(sk1,converse(join(one,complement(converse(join(one,complement(sk1)))))))
| sk1 = meet(sk1,converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,meet(sk1,converse(join(one,complement(converse(join(one,complement(sk1)))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_910,plain,
( sk1 != meet(sk1,converse(join(one,complement(converse(join(one,complement(sk1)))))))
| sk1 = meet(sk1,converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(sk1)),top) )],[refute_0_908,refute_0_909]) ).
cnf(refute_0_911,plain,
sk1 = meet(sk1,converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(sk1,meet(sk1,converse(join(one,complement(converse(join(one,complement(sk1)))))))) )],[refute_0_895,refute_0_910]) ).
cnf(refute_0_912,plain,
meet(sk1,one) = meet(one,sk1),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(sk1))]]) ).
cnf(refute_0_913,plain,
A = join(meet(A,top),complement(join(complement(A),top))),
inference(subst,[],[refute_0_152:[bind(B,$fot(top))]]) ).
cnf(refute_0_914,plain,
join(zero,meet(X_97,top)) = meet(X_97,top),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(meet(X_97,top)))]]) ).
cnf(refute_0_915,plain,
( X_97 != join(zero,meet(X_97,top))
| join(zero,meet(X_97,top)) != meet(X_97,top)
| X_97 = meet(X_97,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,meet(X_97,top)) ),[0],$fot(join(zero,meet(X_97,top)))]]) ).
cnf(refute_0_916,plain,
( X_97 != join(zero,meet(X_97,top))
| X_97 = meet(X_97,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,top)),meet(X_97,top)) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
X_97 = meet(X_97,top),
inference(resolve,[$cnf( $equal(X_97,join(zero,meet(X_97,top))) )],[refute_0_554,refute_0_916]) ).
cnf(refute_0_918,plain,
A = meet(A,top),
inference(subst,[],[refute_0_917:[bind(X_97,$fot(A))]]) ).
cnf(refute_0_919,plain,
( A != meet(A,top)
| meet(A,top) = A ),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(meet(A,top)))]]) ).
cnf(refute_0_920,plain,
meet(A,top) = A,
inference(resolve,[$cnf( $equal(A,meet(A,top)) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
( A != join(meet(A,top),complement(join(complement(A),top)))
| meet(A,top) != A
| A = join(A,complement(join(complement(A),top))) ),
introduced(tautology,[equality,[$cnf( $equal(A,join(meet(A,top),complement(join(complement(A),top)))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_922,plain,
( A != join(meet(A,top),complement(join(complement(A),top)))
| A = join(A,complement(join(complement(A),top))) ),
inference(resolve,[$cnf( $equal(meet(A,top),A) )],[refute_0_920,refute_0_921]) ).
cnf(refute_0_923,plain,
A = join(A,complement(join(complement(A),top))),
inference(resolve,[$cnf( $equal(A,join(meet(A,top),complement(join(complement(A),top)))) )],[refute_0_913,refute_0_922]) ).
cnf(refute_0_924,plain,
join(complement(A),top) = top,
inference(subst,[],[refute_0_319:[bind(X_39,$fot(complement(A)))]]) ).
cnf(refute_0_925,plain,
complement(join(complement(A),top)) = complement(join(complement(A),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(A),top)))]]) ).
cnf(refute_0_926,plain,
( complement(join(complement(A),top)) != complement(join(complement(A),top))
| join(complement(A),top) != top
| complement(join(complement(A),top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(A),top)),complement(join(complement(A),top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_927,plain,
( join(complement(A),top) != top
| complement(join(complement(A),top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),top)),complement(join(complement(A),top))) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
complement(join(complement(A),top)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(A),top),top) )],[refute_0_924,refute_0_927]) ).
cnf(refute_0_929,plain,
( complement(join(complement(A),top)) != complement(top)
| complement(top) != zero
| complement(join(complement(A),top)) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(complement(A),top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_930,plain,
( complement(top) != zero
| complement(join(complement(A),top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),top)),complement(top)) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
complement(join(complement(A),top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_930]) ).
cnf(refute_0_932,plain,
join(A,complement(join(complement(A),top))) = join(A,complement(join(complement(A),top))),
introduced(tautology,[refl,[$fot(join(A,complement(join(complement(A),top))))]]) ).
cnf(refute_0_933,plain,
( complement(join(complement(A),top)) != zero
| join(A,complement(join(complement(A),top))) != join(A,complement(join(complement(A),top)))
| join(A,complement(join(complement(A),top))) = join(A,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,complement(join(complement(A),top))),join(A,complement(join(complement(A),top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_934,plain,
( complement(join(complement(A),top)) != zero
| join(A,complement(join(complement(A),top))) = join(A,zero) ),
inference(resolve,[$cnf( $equal(join(A,complement(join(complement(A),top))),join(A,complement(join(complement(A),top)))) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
join(A,complement(join(complement(A),top))) = join(A,zero),
inference(resolve,[$cnf( $equal(complement(join(complement(A),top)),zero) )],[refute_0_931,refute_0_934]) ).
cnf(refute_0_936,plain,
( A != join(A,complement(join(complement(A),top)))
| join(A,complement(join(complement(A),top))) != join(A,zero)
| A = join(A,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,join(A,zero)) ),[0],$fot(join(A,complement(join(complement(A),top))))]]) ).
cnf(refute_0_937,plain,
( A != join(A,complement(join(complement(A),top)))
| A = join(A,zero) ),
inference(resolve,[$cnf( $equal(join(A,complement(join(complement(A),top))),join(A,zero)) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
A = join(A,zero),
inference(resolve,[$cnf( $equal(A,join(A,complement(join(complement(A),top)))) )],[refute_0_923,refute_0_937]) ).
cnf(refute_0_939,plain,
( A != join(A,zero)
| join(A,zero) = A ),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(join(A,zero)))]]) ).
cnf(refute_0_940,plain,
join(A,zero) = A,
inference(resolve,[$cnf( $equal(A,join(A,zero)) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
join(one,zero) = one,
inference(subst,[],[refute_0_940:[bind(A,$fot(one))]]) ).
cnf(refute_0_942,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_0_943,plain,
( complement(converse(top)) != complement(converse(top))
| converse(top) != top
| complement(converse(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_944,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_944]) ).
cnf(refute_0_946,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_947,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_947]) ).
cnf(refute_0_949,plain,
join(one,complement(converse(top))) = join(one,complement(converse(top))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(top))))]]) ).
cnf(refute_0_950,plain,
( complement(converse(top)) != zero
| join(one,complement(converse(top))) != join(one,complement(converse(top)))
| join(one,complement(converse(top))) = join(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(top))),join(one,complement(converse(top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_951,plain,
( complement(converse(top)) != zero
| join(one,complement(converse(top))) = join(one,zero) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),join(one,complement(converse(top)))) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
join(one,complement(converse(top))) = join(one,zero),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_948,refute_0_951]) ).
cnf(refute_0_953,plain,
( join(one,complement(converse(top))) != join(one,zero)
| join(one,zero) != one
| join(one,complement(converse(top))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,complement(converse(top))))),bind(Y,$fot(join(one,zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_954,plain,
( join(one,zero) != one
| join(one,complement(converse(top))) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),join(one,zero)) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
join(one,complement(converse(top))) = one,
inference(resolve,[$cnf( $equal(join(one,zero),one) )],[refute_0_941,refute_0_954]) ).
cnf(refute_0_956,plain,
converse(join(one,complement(converse(top)))) = converse(join(one,complement(converse(top)))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(top)))))]]) ).
cnf(refute_0_957,plain,
( converse(join(one,complement(converse(top)))) != converse(join(one,complement(converse(top))))
| join(one,complement(converse(top))) != one
| converse(join(one,complement(converse(top)))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(join(one,complement(converse(top))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_958,plain,
( join(one,complement(converse(top))) != one
| converse(join(one,complement(converse(top)))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(join(one,complement(converse(top))))) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
converse(join(one,complement(converse(top)))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),one) )],[refute_0_955,refute_0_958]) ).
cnf(refute_0_960,plain,
( converse(join(one,complement(converse(top)))) != converse(one)
| converse(one) != one
| converse(join(one,complement(converse(top)))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,complement(converse(top)))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_961,plain,
( converse(one) != one
| converse(join(one,complement(converse(top)))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(one)) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
converse(join(one,complement(converse(top)))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_961]) ).
cnf(refute_0_963,plain,
meet(sk1,converse(join(one,complement(converse(top))))) = meet(sk1,converse(join(one,complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(sk1,converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_964,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(sk1,converse(join(one,complement(converse(top))))) != meet(sk1,converse(join(one,complement(converse(top)))))
| meet(sk1,converse(join(one,complement(converse(top))))) = meet(sk1,one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,converse(join(one,complement(converse(top))))),meet(sk1,converse(join(one,complement(converse(top)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_965,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(sk1,converse(join(one,complement(converse(top))))) = meet(sk1,one) ),
inference(resolve,[$cnf( $equal(meet(sk1,converse(join(one,complement(converse(top))))),meet(sk1,converse(join(one,complement(converse(top)))))) )],[refute_0_963,refute_0_964]) ).
cnf(refute_0_966,plain,
meet(sk1,converse(join(one,complement(converse(top))))) = meet(sk1,one),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_962,refute_0_965]) ).
cnf(refute_0_967,plain,
( meet(sk1,converse(join(one,complement(converse(top))))) != meet(sk1,one)
| meet(sk1,one) != meet(one,sk1)
| meet(sk1,converse(join(one,complement(converse(top))))) = meet(one,sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(sk1,converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(sk1,one))),bind(Z,$fot(meet(one,sk1)))]]) ).
cnf(refute_0_968,plain,
( meet(sk1,one) != meet(one,sk1)
| meet(sk1,converse(join(one,complement(converse(top))))) = meet(one,sk1) ),
inference(resolve,[$cnf( $equal(meet(sk1,converse(join(one,complement(converse(top))))),meet(sk1,one)) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
meet(sk1,converse(join(one,complement(converse(top))))) = meet(one,sk1),
inference(resolve,[$cnf( $equal(meet(sk1,one),meet(one,sk1)) )],[refute_0_912,refute_0_968]) ).
cnf(refute_0_970,plain,
( meet(sk1,converse(join(one,complement(converse(top))))) != meet(one,sk1)
| sk1 != meet(sk1,converse(join(one,complement(converse(top)))))
| sk1 = meet(one,sk1) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,meet(sk1,converse(join(one,complement(converse(top)))))) ),[1],$fot(meet(one,sk1))]]) ).
cnf(refute_0_971,plain,
( sk1 != meet(sk1,converse(join(one,complement(converse(top)))))
| sk1 = meet(one,sk1) ),
inference(resolve,[$cnf( $equal(meet(sk1,converse(join(one,complement(converse(top))))),meet(one,sk1)) )],[refute_0_969,refute_0_970]) ).
cnf(refute_0_972,plain,
sk1 = meet(one,sk1),
inference(resolve,[$cnf( $equal(sk1,meet(sk1,converse(join(one,complement(converse(top)))))) )],[refute_0_911,refute_0_971]) ).
cnf(refute_0_973,plain,
( sk1 != meet(one,sk1)
| meet(one,sk1) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(meet(one,sk1)))]]) ).
cnf(refute_0_974,plain,
meet(one,sk1) = sk1,
inference(resolve,[$cnf( $equal(sk1,meet(one,sk1)) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
( meet(one,sk1) != sk1
| one != join(meet(one,sk1),meet(one,complement(sk1)))
| one = join(sk1,meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,sk1),meet(one,complement(sk1)))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_976,plain,
( one != join(meet(one,sk1),meet(one,complement(sk1)))
| one = join(sk1,meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,sk1),sk1) )],[refute_0_974,refute_0_975]) ).
cnf(refute_0_977,plain,
one = join(sk1,meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(one,join(meet(one,sk1),meet(one,complement(sk1)))) )],[refute_0_700,refute_0_976]) ).
cnf(refute_0_978,plain,
( one != join(sk1,meet(one,complement(sk1)))
| join(sk1,meet(one,complement(sk1))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(sk1,meet(one,complement(sk1)))))]]) ).
cnf(refute_0_979,plain,
join(sk1,meet(one,complement(sk1))) = one,
inference(resolve,[$cnf( $equal(one,join(sk1,meet(one,complement(sk1)))) )],[refute_0_977,refute_0_978]) ).
cnf(refute_0_980,plain,
( join(one,join(sk1,meet(one,complement(sk1)))) != join(one,meet(one,complement(sk1)))
| join(sk1,meet(one,complement(sk1))) != one
| join(one,one) = join(one,meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,meet(one,complement(sk1)))),join(one,meet(one,complement(sk1)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_981,plain,
( join(one,join(sk1,meet(one,complement(sk1)))) != join(one,meet(one,complement(sk1)))
| join(one,one) = join(one,meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(one,complement(sk1))),one) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
join(one,one) = join(one,meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,meet(one,complement(sk1)))),join(one,meet(one,complement(sk1)))) )],[refute_0_688,refute_0_981]) ).
cnf(refute_0_983,plain,
( join(one,one) != join(one,meet(one,complement(sk1)))
| join(one,meet(one,complement(sk1))) = join(one,one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,one))),bind(Y,$fot(join(one,meet(one,complement(sk1)))))]]) ).
cnf(refute_0_984,plain,
join(one,meet(one,complement(sk1))) = join(one,one),
inference(resolve,[$cnf( $equal(join(one,one),join(one,meet(one,complement(sk1)))) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
( join(one,join(meet(one,complement(sk1)),C)) != join(join(one,meet(one,complement(sk1))),C)
| join(one,meet(one,complement(sk1))) != join(one,one)
| join(one,join(meet(one,complement(sk1)),C)) = join(join(one,one),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(meet(one,complement(sk1)),C)),join(join(one,meet(one,complement(sk1))),C)) ),[1,0],$fot(join(one,one))]]) ).
cnf(refute_0_986,plain,
( join(one,join(meet(one,complement(sk1)),C)) != join(join(one,meet(one,complement(sk1))),C)
| join(one,join(meet(one,complement(sk1)),C)) = join(join(one,one),C) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(sk1))),join(one,one)) )],[refute_0_984,refute_0_985]) ).
cnf(refute_0_987,plain,
join(one,join(meet(one,complement(sk1)),C)) = join(join(one,one),C),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,complement(sk1)),C)),join(join(one,meet(one,complement(sk1))),C)) )],[refute_0_679,refute_0_986]) ).
cnf(refute_0_988,plain,
join(join(one,one),C) = join(one,join(one,C)),
inference(subst,[],[refute_0_169:[bind(A,$fot(one)),bind(B,$fot(one))]]) ).
cnf(refute_0_989,plain,
( join(join(one,one),C) != join(one,join(one,C))
| join(one,join(meet(one,complement(sk1)),C)) != join(join(one,one),C)
| join(one,join(meet(one,complement(sk1)),C)) = join(one,join(one,C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(meet(one,complement(sk1)),C)),join(join(one,one),C)) ),[1],$fot(join(one,join(one,C)))]]) ).
cnf(refute_0_990,plain,
( join(one,join(meet(one,complement(sk1)),C)) != join(join(one,one),C)
| join(one,join(meet(one,complement(sk1)),C)) = join(one,join(one,C)) ),
inference(resolve,[$cnf( $equal(join(join(one,one),C),join(one,join(one,C))) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
join(one,join(meet(one,complement(sk1)),C)) = join(one,join(one,C)),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,complement(sk1)),C)),join(join(one,one),C)) )],[refute_0_987,refute_0_990]) ).
cnf(refute_0_992,plain,
join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(complement(join(sk1,complement(one))))),bind(B,$fot(meet(join(one,one),join(sk1,complement(one)))))]]) ).
cnf(refute_0_993,plain,
join(one,one) = join(meet(join(one,one),complement(join(sk1,complement(one)))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_699:[bind(B,$fot(complement(join(sk1,complement(one))))),bind(X_97,$fot(join(one,one)))]]) ).
cnf(refute_0_994,plain,
X_119 = meet(X_119,join(X_119,X_118)),
inference(subst,[],[refute_0_677:[bind(X_33,$fot(X_118)),bind(X_97,$fot(X_119))]]) ).
cnf(refute_0_995,plain,
join(X_118,X_119) = join(X_119,X_118),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_118)),bind(B,$fot(X_119))]]) ).
cnf(refute_0_996,plain,
( join(X_118,X_119) != join(X_119,X_118)
| join(X_119,X_118) = join(X_118,X_119) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_118,X_119))),bind(Y,$fot(join(X_119,X_118)))]]) ).
cnf(refute_0_997,plain,
join(X_119,X_118) = join(X_118,X_119),
inference(resolve,[$cnf( $equal(join(X_118,X_119),join(X_119,X_118)) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
( X_119 != meet(X_119,join(X_119,X_118))
| join(X_119,X_118) != join(X_118,X_119)
| X_119 = meet(X_119,join(X_118,X_119)) ),
introduced(tautology,[equality,[$cnf( $equal(X_119,meet(X_119,join(X_119,X_118))) ),[1,1],$fot(join(X_118,X_119))]]) ).
cnf(refute_0_999,plain,
( X_119 != meet(X_119,join(X_119,X_118))
| X_119 = meet(X_119,join(X_118,X_119)) ),
inference(resolve,[$cnf( $equal(join(X_119,X_118),join(X_118,X_119)) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
X_119 = meet(X_119,join(X_118,X_119)),
inference(resolve,[$cnf( $equal(X_119,meet(X_119,join(X_119,X_118))) )],[refute_0_994,refute_0_999]) ).
cnf(refute_0_1001,plain,
complement(join(sk1,complement(one))) = meet(complement(join(sk1,complement(one))),join(one,complement(join(sk1,complement(one))))),
inference(subst,[],[refute_0_1000:[bind(X_118,$fot(one)),bind(X_119,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1002,plain,
join(one,join(sk1,complement(join(sk1,complement(one))))) = join(one,complement(join(sk1,complement(one)))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1003,plain,
one = join(meet(one,sk1),complement(join(complement(one),sk1))),
inference(subst,[],[refute_0_152:[bind(A,$fot(one)),bind(B,$fot(sk1))]]) ).
cnf(refute_0_1004,plain,
( meet(one,sk1) != sk1
| one != join(meet(one,sk1),complement(join(complement(one),sk1)))
| one = join(sk1,complement(join(complement(one),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,sk1),complement(join(complement(one),sk1)))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_1005,plain,
( one != join(meet(one,sk1),complement(join(complement(one),sk1)))
| one = join(sk1,complement(join(complement(one),sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,sk1),sk1) )],[refute_0_974,refute_0_1004]) ).
cnf(refute_0_1006,plain,
one = join(sk1,complement(join(complement(one),sk1))),
inference(resolve,[$cnf( $equal(one,join(meet(one,sk1),complement(join(complement(one),sk1)))) )],[refute_0_1003,refute_0_1005]) ).
cnf(refute_0_1007,plain,
join(complement(one),sk1) = join(sk1,complement(one)),
inference(subst,[],[refute_0_4:[bind(A,$fot(sk1)),bind(B,$fot(complement(one)))]]) ).
cnf(refute_0_1008,plain,
complement(join(complement(one),sk1)) = complement(join(complement(one),sk1)),
introduced(tautology,[refl,[$fot(complement(join(complement(one),sk1)))]]) ).
cnf(refute_0_1009,plain,
( complement(join(complement(one),sk1)) != complement(join(complement(one),sk1))
| join(complement(one),sk1) != join(sk1,complement(one))
| complement(join(complement(one),sk1)) = complement(join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(one),sk1)),complement(join(complement(one),sk1))) ),[1,0],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_1010,plain,
( join(complement(one),sk1) != join(sk1,complement(one))
| complement(join(complement(one),sk1)) = complement(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),sk1)),complement(join(complement(one),sk1))) )],[refute_0_1008,refute_0_1009]) ).
cnf(refute_0_1011,plain,
complement(join(complement(one),sk1)) = complement(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),sk1),join(sk1,complement(one))) )],[refute_0_1007,refute_0_1010]) ).
cnf(refute_0_1012,plain,
join(sk1,complement(join(complement(one),sk1))) = join(sk1,complement(join(complement(one),sk1))),
introduced(tautology,[refl,[$fot(join(sk1,complement(join(complement(one),sk1))))]]) ).
cnf(refute_0_1013,plain,
( complement(join(complement(one),sk1)) != complement(join(sk1,complement(one)))
| join(sk1,complement(join(complement(one),sk1))) != join(sk1,complement(join(complement(one),sk1)))
| join(sk1,complement(join(complement(one),sk1))) = join(sk1,complement(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(join(complement(one),sk1))),join(sk1,complement(join(complement(one),sk1)))) ),[1,1],$fot(complement(join(sk1,complement(one))))]]) ).
cnf(refute_0_1014,plain,
( complement(join(complement(one),sk1)) != complement(join(sk1,complement(one)))
| join(sk1,complement(join(complement(one),sk1))) = join(sk1,complement(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(complement(one),sk1))),join(sk1,complement(join(complement(one),sk1)))) )],[refute_0_1012,refute_0_1013]) ).
cnf(refute_0_1015,plain,
join(sk1,complement(join(complement(one),sk1))) = join(sk1,complement(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),sk1)),complement(join(sk1,complement(one)))) )],[refute_0_1011,refute_0_1014]) ).
cnf(refute_0_1016,plain,
( join(sk1,complement(join(complement(one),sk1))) != join(sk1,complement(join(sk1,complement(one))))
| one != join(sk1,complement(join(complement(one),sk1)))
| one = join(sk1,complement(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(sk1,complement(join(complement(one),sk1)))) ),[1],$fot(join(sk1,complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1017,plain,
( one != join(sk1,complement(join(complement(one),sk1)))
| one = join(sk1,complement(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(complement(one),sk1))),join(sk1,complement(join(sk1,complement(one))))) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
one = join(sk1,complement(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(one,join(sk1,complement(join(complement(one),sk1)))) )],[refute_0_1006,refute_0_1017]) ).
cnf(refute_0_1019,plain,
( one != join(sk1,complement(join(sk1,complement(one))))
| join(sk1,complement(join(sk1,complement(one)))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(sk1,complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_1020,plain,
join(sk1,complement(join(sk1,complement(one)))) = one,
inference(resolve,[$cnf( $equal(one,join(sk1,complement(join(sk1,complement(one))))) )],[refute_0_1018,refute_0_1019]) ).
cnf(refute_0_1021,plain,
( join(one,join(sk1,complement(join(sk1,complement(one))))) != join(one,complement(join(sk1,complement(one))))
| join(sk1,complement(join(sk1,complement(one)))) != one
| join(one,one) = join(one,complement(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,complement(join(sk1,complement(one))))),join(one,complement(join(sk1,complement(one))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_1022,plain,
( join(one,join(sk1,complement(join(sk1,complement(one))))) != join(one,complement(join(sk1,complement(one))))
| join(one,one) = join(one,complement(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(sk1,complement(one)))),one) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
join(one,one) = join(one,complement(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(join(sk1,complement(one))))),join(one,complement(join(sk1,complement(one))))) )],[refute_0_1002,refute_0_1022]) ).
cnf(refute_0_1024,plain,
( join(one,one) != join(one,complement(join(sk1,complement(one))))
| join(one,complement(join(sk1,complement(one)))) = join(one,one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,one))),bind(Y,$fot(join(one,complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_1025,plain,
join(one,complement(join(sk1,complement(one)))) = join(one,one),
inference(resolve,[$cnf( $equal(join(one,one),join(one,complement(join(sk1,complement(one))))) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
( complement(join(sk1,complement(one))) != meet(complement(join(sk1,complement(one))),join(one,complement(join(sk1,complement(one)))))
| join(one,complement(join(sk1,complement(one)))) != join(one,one)
| complement(join(sk1,complement(one))) = meet(complement(join(sk1,complement(one))),join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,complement(one))),meet(complement(join(sk1,complement(one))),join(one,complement(join(sk1,complement(one)))))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_1027,plain,
( complement(join(sk1,complement(one))) != meet(complement(join(sk1,complement(one))),join(one,complement(join(sk1,complement(one)))))
| complement(join(sk1,complement(one))) = meet(complement(join(sk1,complement(one))),join(one,one)) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(sk1,complement(one)))),join(one,one)) )],[refute_0_1025,refute_0_1026]) ).
cnf(refute_0_1028,plain,
complement(join(sk1,complement(one))) = meet(complement(join(sk1,complement(one))),join(one,one)),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(one))),meet(complement(join(sk1,complement(one))),join(one,complement(join(sk1,complement(one)))))) )],[refute_0_1001,refute_0_1027]) ).
cnf(refute_0_1029,plain,
meet(complement(join(sk1,complement(one))),join(one,one)) = meet(join(one,one),complement(join(sk1,complement(one)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(join(one,one))),bind(X_7,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1030,plain,
( complement(join(sk1,complement(one))) != meet(complement(join(sk1,complement(one))),join(one,one))
| meet(complement(join(sk1,complement(one))),join(one,one)) != meet(join(one,one),complement(join(sk1,complement(one))))
| complement(join(sk1,complement(one))) = meet(join(one,one),complement(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(sk1,complement(one))),meet(join(one,one),complement(join(sk1,complement(one))))) ),[0],$fot(meet(complement(join(sk1,complement(one))),join(one,one)))]]) ).
cnf(refute_0_1031,plain,
( complement(join(sk1,complement(one))) != meet(complement(join(sk1,complement(one))),join(one,one))
| complement(join(sk1,complement(one))) = meet(join(one,one),complement(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(sk1,complement(one))),join(one,one)),meet(join(one,one),complement(join(sk1,complement(one))))) )],[refute_0_1029,refute_0_1030]) ).
cnf(refute_0_1032,plain,
complement(join(sk1,complement(one))) = meet(join(one,one),complement(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(one))),meet(complement(join(sk1,complement(one))),join(one,one))) )],[refute_0_1028,refute_0_1031]) ).
cnf(refute_0_1033,plain,
( complement(join(sk1,complement(one))) != meet(join(one,one),complement(join(sk1,complement(one))))
| meet(join(one,one),complement(join(sk1,complement(one)))) = complement(join(sk1,complement(one))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(sk1,complement(one))))),bind(Y,$fot(meet(join(one,one),complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_1034,plain,
meet(join(one,one),complement(join(sk1,complement(one)))) = complement(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(one))),meet(join(one,one),complement(join(sk1,complement(one))))) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
( join(one,one) != join(meet(join(one,one),complement(join(sk1,complement(one)))),meet(join(one,one),complement(complement(join(sk1,complement(one))))))
| meet(join(one,one),complement(join(sk1,complement(one)))) != complement(join(sk1,complement(one)))
| join(one,one) = join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,one),join(meet(join(one,one),complement(join(sk1,complement(one)))),meet(join(one,one),complement(complement(join(sk1,complement(one))))))) ),[1,0],$fot(complement(join(sk1,complement(one))))]]) ).
cnf(refute_0_1036,plain,
( join(one,one) != join(meet(join(one,one),complement(join(sk1,complement(one)))),meet(join(one,one),complement(complement(join(sk1,complement(one))))))
| join(one,one) = join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(join(one,one),complement(join(sk1,complement(one)))),complement(join(sk1,complement(one)))) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
join(one,one) = join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(one,one),join(meet(join(one,one),complement(join(sk1,complement(one)))),meet(join(one,one),complement(complement(join(sk1,complement(one))))))) )],[refute_0_993,refute_0_1036]) ).
cnf(refute_0_1038,plain,
complement(complement(join(sk1,complement(one)))) = join(sk1,complement(one)),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_1039,plain,
meet(join(one,one),complement(complement(join(sk1,complement(one))))) = meet(join(one,one),complement(complement(join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(meet(join(one,one),complement(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_1040,plain,
( complement(complement(join(sk1,complement(one)))) != join(sk1,complement(one))
| meet(join(one,one),complement(complement(join(sk1,complement(one))))) != meet(join(one,one),complement(complement(join(sk1,complement(one)))))
| meet(join(one,one),complement(complement(join(sk1,complement(one))))) = meet(join(one,one),join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,one),complement(complement(join(sk1,complement(one))))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))) ),[1,1],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_1041,plain,
( complement(complement(join(sk1,complement(one)))) != join(sk1,complement(one))
| meet(join(one,one),complement(complement(join(sk1,complement(one))))) = meet(join(one,one),join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(join(one,one),complement(complement(join(sk1,complement(one))))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
meet(join(one,one),complement(complement(join(sk1,complement(one))))) = meet(join(one,one),join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(complement(complement(join(sk1,complement(one)))),join(sk1,complement(one))) )],[refute_0_1038,refute_0_1041]) ).
cnf(refute_0_1043,plain,
join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1044,plain,
( join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))) != join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one))))))
| meet(join(one,one),complement(complement(join(sk1,complement(one))))) != meet(join(one,one),join(sk1,complement(one)))
| join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))),join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one))))))) ),[1,1],$fot(meet(join(one,one),join(sk1,complement(one))))]]) ).
cnf(refute_0_1045,plain,
( meet(join(one,one),complement(complement(join(sk1,complement(one))))) != meet(join(one,one),join(sk1,complement(one)))
| join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))),join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one))))))) )],[refute_0_1043,refute_0_1044]) ).
cnf(refute_0_1046,plain,
join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(meet(join(one,one),complement(complement(join(sk1,complement(one))))),meet(join(one,one),join(sk1,complement(one)))) )],[refute_0_1042,refute_0_1045]) ).
cnf(refute_0_1047,plain,
( join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))) != join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one))))
| join(one,one) != join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one))))))
| join(one,one) = join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,one),join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one))))))) ),[1],$fot(join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))))]]) ).
cnf(refute_0_1048,plain,
( join(one,one) != join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one))))))
| join(one,one) = join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one)))))),join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one))))) )],[refute_0_1046,refute_0_1047]) ).
cnf(refute_0_1049,plain,
join(one,one) = join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(join(one,one),join(complement(join(sk1,complement(one))),meet(join(one,one),complement(complement(join(sk1,complement(one))))))) )],[refute_0_1037,refute_0_1048]) ).
cnf(refute_0_1050,plain,
( join(one,one) != join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one))))
| join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))) = join(one,one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,one))),bind(Y,$fot(join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one))))))]]) ).
cnf(refute_0_1051,plain,
join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))) = join(one,one),
inference(resolve,[$cnf( $equal(join(one,one),join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one))))) )],[refute_0_1049,refute_0_1050]) ).
cnf(refute_0_1052,plain,
( join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) != join(join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))),C)
| join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))) != join(one,one)
| join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(join(one,one),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)),join(join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))),C)) ),[1,0],$fot(join(one,one))]]) ).
cnf(refute_0_1053,plain,
( join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) != join(join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))),C)
| join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(join(one,one),C) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))),join(one,one)) )],[refute_0_1051,refute_0_1052]) ).
cnf(refute_0_1054,plain,
join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(join(one,one),C),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)),join(join(complement(join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))),C)) )],[refute_0_992,refute_0_1053]) ).
cnf(refute_0_1055,plain,
( join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) != join(join(one,one),C)
| join(join(one,one),C) != join(one,join(one,C))
| join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(one,join(one,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)),join(one,join(one,C))) ),[0],$fot(join(join(one,one),C))]]) ).
cnf(refute_0_1056,plain,
( join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) != join(join(one,one),C)
| join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(one,join(one,C)) ),
inference(resolve,[$cnf( $equal(join(join(one,one),C),join(one,join(one,C))) )],[refute_0_988,refute_0_1055]) ).
cnf(refute_0_1057,plain,
join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(one,join(one,C)),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)),join(join(one,one),C)) )],[refute_0_1054,refute_0_1056]) ).
cnf(refute_0_1058,plain,
join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)) = join(join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(complement(join(sk1,complement(one))))),bind(B,$fot(meet(one,join(sk1,complement(one)))))]]) ).
cnf(refute_0_1059,plain,
one = join(meet(one,complement(join(sk1,complement(one)))),meet(one,complement(complement(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_699:[bind(B,$fot(complement(join(sk1,complement(one))))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_1060,plain,
complement(join(sk1,complement(one))) = meet(complement(join(sk1,complement(one))),join(sk1,complement(join(sk1,complement(one))))),
inference(subst,[],[refute_0_1000:[bind(X_118,$fot(sk1)),bind(X_119,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1061,plain,
( complement(join(sk1,complement(one))) != meet(complement(join(sk1,complement(one))),join(sk1,complement(join(sk1,complement(one)))))
| join(sk1,complement(join(sk1,complement(one)))) != one
| complement(join(sk1,complement(one))) = meet(complement(join(sk1,complement(one))),one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,complement(one))),meet(complement(join(sk1,complement(one))),join(sk1,complement(join(sk1,complement(one)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1062,plain,
( complement(join(sk1,complement(one))) != meet(complement(join(sk1,complement(one))),join(sk1,complement(join(sk1,complement(one)))))
| complement(join(sk1,complement(one))) = meet(complement(join(sk1,complement(one))),one) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(sk1,complement(one)))),one) )],[refute_0_1020,refute_0_1061]) ).
cnf(refute_0_1063,plain,
complement(join(sk1,complement(one))) = meet(complement(join(sk1,complement(one))),one),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(one))),meet(complement(join(sk1,complement(one))),join(sk1,complement(join(sk1,complement(one)))))) )],[refute_0_1060,refute_0_1062]) ).
cnf(refute_0_1064,plain,
meet(complement(join(sk1,complement(one))),one) = meet(one,complement(join(sk1,complement(one)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1065,plain,
( complement(join(sk1,complement(one))) != meet(complement(join(sk1,complement(one))),one)
| meet(complement(join(sk1,complement(one))),one) != meet(one,complement(join(sk1,complement(one))))
| complement(join(sk1,complement(one))) = meet(one,complement(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(sk1,complement(one))),meet(one,complement(join(sk1,complement(one))))) ),[0],$fot(meet(complement(join(sk1,complement(one))),one))]]) ).
cnf(refute_0_1066,plain,
( complement(join(sk1,complement(one))) != meet(complement(join(sk1,complement(one))),one)
| complement(join(sk1,complement(one))) = meet(one,complement(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(sk1,complement(one))),one),meet(one,complement(join(sk1,complement(one))))) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
complement(join(sk1,complement(one))) = meet(one,complement(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(one))),meet(complement(join(sk1,complement(one))),one)) )],[refute_0_1063,refute_0_1066]) ).
cnf(refute_0_1068,plain,
( complement(join(sk1,complement(one))) != meet(one,complement(join(sk1,complement(one))))
| meet(one,complement(join(sk1,complement(one)))) = complement(join(sk1,complement(one))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(sk1,complement(one))))),bind(Y,$fot(meet(one,complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_1069,plain,
meet(one,complement(join(sk1,complement(one)))) = complement(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(one))),meet(one,complement(join(sk1,complement(one))))) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
( meet(one,complement(join(sk1,complement(one)))) != complement(join(sk1,complement(one)))
| one != join(meet(one,complement(join(sk1,complement(one)))),meet(one,complement(complement(join(sk1,complement(one))))))
| one = join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(join(sk1,complement(one)))),meet(one,complement(complement(join(sk1,complement(one))))))) ),[1,0],$fot(complement(join(sk1,complement(one))))]]) ).
cnf(refute_0_1071,plain,
( one != join(meet(one,complement(join(sk1,complement(one)))),meet(one,complement(complement(join(sk1,complement(one))))))
| one = join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(sk1,complement(one)))),complement(join(sk1,complement(one)))) )],[refute_0_1069,refute_0_1070]) ).
cnf(refute_0_1072,plain,
one = join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(join(sk1,complement(one)))),meet(one,complement(complement(join(sk1,complement(one))))))) )],[refute_0_1059,refute_0_1071]) ).
cnf(refute_0_1073,plain,
meet(one,complement(complement(join(sk1,complement(one))))) = meet(one,complement(complement(join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_1074,plain,
( complement(complement(join(sk1,complement(one)))) != join(sk1,complement(one))
| meet(one,complement(complement(join(sk1,complement(one))))) != meet(one,complement(complement(join(sk1,complement(one)))))
| meet(one,complement(complement(join(sk1,complement(one))))) = meet(one,join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(join(sk1,complement(one))))),meet(one,complement(complement(join(sk1,complement(one)))))) ),[1,1],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_1075,plain,
( complement(complement(join(sk1,complement(one)))) != join(sk1,complement(one))
| meet(one,complement(complement(join(sk1,complement(one))))) = meet(one,join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(join(sk1,complement(one))))),meet(one,complement(complement(join(sk1,complement(one)))))) )],[refute_0_1073,refute_0_1074]) ).
cnf(refute_0_1076,plain,
meet(one,complement(complement(join(sk1,complement(one))))) = meet(one,join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(complement(complement(join(sk1,complement(one)))),join(sk1,complement(one))) )],[refute_0_1038,refute_0_1075]) ).
cnf(refute_0_1077,plain,
join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1078,plain,
( join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))) != join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one))))))
| meet(one,complement(complement(join(sk1,complement(one))))) != meet(one,join(sk1,complement(one)))
| join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))),join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one))))))) ),[1,1],$fot(meet(one,join(sk1,complement(one))))]]) ).
cnf(refute_0_1079,plain,
( meet(one,complement(complement(join(sk1,complement(one))))) != meet(one,join(sk1,complement(one)))
| join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))),join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one))))))) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(join(sk1,complement(one))))),meet(one,join(sk1,complement(one)))) )],[refute_0_1076,refute_0_1079]) ).
cnf(refute_0_1081,plain,
( join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))) != join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one))))
| one != join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one))))))
| one = join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one))))))) ),[1],$fot(join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))))]]) ).
cnf(refute_0_1082,plain,
( one != join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one))))))
| one = join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one)))))),join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one))))) )],[refute_0_1080,refute_0_1081]) ).
cnf(refute_0_1083,plain,
one = join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(one,join(complement(join(sk1,complement(one))),meet(one,complement(complement(join(sk1,complement(one))))))) )],[refute_0_1072,refute_0_1082]) ).
cnf(refute_0_1084,plain,
( one != join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one))))
| join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_1085,plain,
join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one))))) )],[refute_0_1083,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)) != join(join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))),C)
| join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))) != one
| join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)) = join(one,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)),join(join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))),C)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1087,plain,
( join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)) != join(join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))),C)
| join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)) = join(one,C) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))),one) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)) = join(one,C),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)),join(join(complement(join(sk1,complement(one))),meet(one,join(sk1,complement(one)))),C)) )],[refute_0_1058,refute_0_1087]) ).
cnf(refute_0_1089,plain,
complement(X_97) = meet(complement(X_97),converse(join(one,complement(converse(join(one,complement(complement(X_97)))))))),
inference(subst,[],[refute_0_894:[bind(X_97,$fot(complement(X_97)))]]) ).
cnf(refute_0_1090,plain,
( complement(X_97) != meet(complement(X_97),converse(join(one,complement(converse(join(one,complement(complement(X_97))))))))
| complement(complement(X_97)) != X_97
| complement(X_97) = meet(complement(X_97),converse(join(one,complement(converse(join(one,X_97)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_97),meet(complement(X_97),converse(join(one,complement(converse(join(one,complement(complement(X_97))))))))) ),[1,1,0,1,0,0,1],$fot(X_97)]]) ).
cnf(refute_0_1091,plain,
( complement(X_97) != meet(complement(X_97),converse(join(one,complement(converse(join(one,complement(complement(X_97))))))))
| complement(X_97) = meet(complement(X_97),converse(join(one,complement(converse(join(one,X_97)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_1090]) ).
cnf(refute_0_1092,plain,
complement(X_97) = meet(complement(X_97),converse(join(one,complement(converse(join(one,X_97)))))),
inference(resolve,[$cnf( $equal(complement(X_97),meet(complement(X_97),converse(join(one,complement(converse(join(one,complement(complement(X_97))))))))) )],[refute_0_1089,refute_0_1091]) ).
cnf(refute_0_1093,plain,
complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) = meet(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))),
inference(subst,[],[refute_0_1092:[bind(X_97,$fot(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1094,plain,
join(one,one) = join(meet(join(one,one),complement(join(sk1,complement(one)))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(join(one,one))),bind(B,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1095,plain,
( join(one,one) != join(meet(join(one,one),complement(join(sk1,complement(one)))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one))))))
| meet(join(one,one),complement(join(sk1,complement(one)))) != complement(join(sk1,complement(one)))
| join(one,one) = join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,one),join(meet(join(one,one),complement(join(sk1,complement(one)))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one))))))) ),[1,0],$fot(complement(join(sk1,complement(one))))]]) ).
cnf(refute_0_1096,plain,
( join(one,one) != join(meet(join(one,one),complement(join(sk1,complement(one)))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one))))))
| join(one,one) = join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(join(one,one),complement(join(sk1,complement(one)))),complement(join(sk1,complement(one)))) )],[refute_0_1034,refute_0_1095]) ).
cnf(refute_0_1097,plain,
join(one,one) = join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(one,one),join(meet(join(one,one),complement(join(sk1,complement(one)))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one))))))) )],[refute_0_1094,refute_0_1096]) ).
cnf(refute_0_1098,plain,
join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B)))))),
inference(subst,[],[refute_0_649:[bind(X_97,$fot(join(complement(A),complement(B))))]]) ).
cnf(refute_0_1099,plain,
( complement(join(complement(A),complement(B))) != meet(A,B)
| join(complement(A),complement(B)) != join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B))))))
| join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(A),complement(B)),join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B))))))) ),[1,1,1,0],$fot(meet(A,B))]]) ).
cnf(refute_0_1100,plain,
( join(complement(A),complement(B)) != join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B))))))
| join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_29,refute_0_1099]) ).
cnf(refute_0_1101,plain,
join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B))))))) )],[refute_0_1098,refute_0_1100]) ).
cnf(refute_0_1102,plain,
join(complement(complement(meet(A,B))),meet(A,B)) = join(meet(A,B),complement(complement(meet(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(A,B))),bind(B,$fot(complement(complement(meet(A,B)))))]]) ).
cnf(refute_0_1103,plain,
complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(A,B))),meet(A,B))))]]) ).
cnf(refute_0_1104,plain,
( complement(join(complement(complement(meet(A,B))),meet(A,B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
| join(complement(complement(meet(A,B))),meet(A,B)) != join(meet(A,B),complement(complement(meet(A,B))))
| complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(meet(A,B))),meet(A,B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) ),[1,0],$fot(join(meet(A,B),complement(complement(meet(A,B)))))]]) ).
cnf(refute_0_1105,plain,
( join(complement(complement(meet(A,B))),meet(A,B)) != join(meet(A,B),complement(complement(meet(A,B))))
| complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(A,B))),meet(A,B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) )],[refute_0_1103,refute_0_1104]) ).
cnf(refute_0_1106,plain,
complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(A,B))),meet(A,B)),join(meet(A,B),complement(complement(meet(A,B))))) )],[refute_0_1102,refute_0_1105]) ).
cnf(refute_0_1107,plain,
meet(A,join(complement(X_6),complement(X_7))) = complement(join(complement(A),complement(join(complement(X_6),complement(X_7))))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_1108,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| meet(A,join(complement(X_6),complement(X_7))) != complement(join(complement(A),complement(join(complement(X_6),complement(X_7)))))
| meet(A,join(complement(X_6),complement(X_7))) = complement(join(complement(A),meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),complement(join(complement(A),complement(join(complement(X_6),complement(X_7)))))) ),[1,0,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_1109,plain,
( meet(A,join(complement(X_6),complement(X_7))) != complement(join(complement(A),complement(join(complement(X_6),complement(X_7)))))
| meet(A,join(complement(X_6),complement(X_7))) = complement(join(complement(A),meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_164,refute_0_1108]) ).
cnf(refute_0_1110,plain,
meet(A,join(complement(X_6),complement(X_7))) = complement(join(complement(A),meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),complement(join(complement(A),complement(join(complement(X_6),complement(X_7)))))) )],[refute_0_1107,refute_0_1109]) ).
cnf(refute_0_1111,plain,
meet(complement(meet(A,B)),join(complement(A),complement(B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))),
inference(subst,[],[refute_0_1110:[bind(A,$fot(complement(meet(A,B)))),bind(X_6,$fot(A)),bind(X_7,$fot(B))]]) ).
cnf(refute_0_1112,plain,
meet(join(complement(A),complement(B)),complement(meet(A,B))) = meet(complement(meet(A,B)),join(complement(A),complement(B))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(meet(A,B)))),bind(X_7,$fot(join(complement(A),complement(B))))]]) ).
cnf(refute_0_1113,plain,
( meet(complement(meet(A,B)),join(complement(A),complement(B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) != meet(complement(meet(A,B)),join(complement(A),complement(B)))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(complement(A),complement(B)),complement(meet(A,B))))),bind(Y,$fot(meet(complement(meet(A,B)),join(complement(A),complement(B))))),bind(Z,$fot(complement(join(complement(complement(meet(A,B))),meet(A,B)))))]]) ).
cnf(refute_0_1114,plain,
( meet(complement(meet(A,B)),join(complement(A),complement(B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(A),complement(B)),complement(meet(A,B))),meet(complement(meet(A,B)),join(complement(A),complement(B)))) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))),
inference(resolve,[$cnf( $equal(meet(complement(meet(A,B)),join(complement(A),complement(B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) )],[refute_0_1111,refute_0_1114]) ).
cnf(refute_0_1116,plain,
( complement(join(complement(complement(meet(A,B))),meet(A,B))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(complement(A),complement(B)),complement(meet(A,B))))),bind(Y,$fot(complement(join(complement(complement(meet(A,B))),meet(A,B))))),bind(Z,$fot(complement(join(meet(A,B),complement(complement(meet(A,B)))))))]]) ).
cnf(refute_0_1117,plain,
( complement(join(complement(complement(meet(A,B))),meet(A,B))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(A),complement(B)),complement(meet(A,B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) )],[refute_0_1115,refute_0_1116]) ).
cnf(refute_0_1118,plain,
meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(A,B))),meet(A,B))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) )],[refute_0_1106,refute_0_1117]) ).
cnf(refute_0_1119,plain,
join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))))]]) ).
cnf(refute_0_1120,plain,
( join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) != join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
| join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))) ),[1,1],$fot(complement(join(meet(A,B),complement(complement(meet(A,B))))))]]) ).
cnf(refute_0_1121,plain,
( meet(join(complement(A),complement(B)),complement(meet(A,B))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
| join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))) )],[refute_0_1119,refute_0_1120]) ).
cnf(refute_0_1122,plain,
join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))),
inference(resolve,[$cnf( $equal(meet(join(complement(A),complement(B)),complement(meet(A,B))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) )],[refute_0_1118,refute_0_1121]) ).
cnf(refute_0_1123,plain,
( join(complement(A),complement(B)) != join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))
| join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) != join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))
| join(complement(A),complement(B)) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(A),complement(B)),join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))) ),[0],$fot(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))))]]) ).
cnf(refute_0_1124,plain,
( join(complement(A),complement(B)) != join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))
| join(complement(A),complement(B)) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))) )],[refute_0_1122,refute_0_1123]) ).
cnf(refute_0_1125,plain,
join(complement(A),complement(B)) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))) )],[refute_0_1101,refute_0_1124]) ).
cnf(refute_0_1126,plain,
complement(complement(meet(A,B))) = meet(A,B),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(meet(A,B)))]]) ).
cnf(refute_0_1127,plain,
join(meet(A,B),complement(complement(meet(A,B)))) = join(meet(A,B),complement(complement(meet(A,B)))),
introduced(tautology,[refl,[$fot(join(meet(A,B),complement(complement(meet(A,B)))))]]) ).
cnf(refute_0_1128,plain,
( complement(complement(meet(A,B))) != meet(A,B)
| join(meet(A,B),complement(complement(meet(A,B)))) != join(meet(A,B),complement(complement(meet(A,B))))
| join(meet(A,B),complement(complement(meet(A,B)))) = join(meet(A,B),meet(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,B),complement(complement(meet(A,B)))),join(meet(A,B),complement(complement(meet(A,B))))) ),[1,1],$fot(meet(A,B))]]) ).
cnf(refute_0_1129,plain,
( complement(complement(meet(A,B))) != meet(A,B)
| join(meet(A,B),complement(complement(meet(A,B)))) = join(meet(A,B),meet(A,B)) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),complement(complement(meet(A,B)))),join(meet(A,B),complement(complement(meet(A,B))))) )],[refute_0_1127,refute_0_1128]) ).
cnf(refute_0_1130,plain,
join(meet(A,B),complement(complement(meet(A,B)))) = join(meet(A,B),meet(A,B)),
inference(resolve,[$cnf( $equal(complement(complement(meet(A,B))),meet(A,B)) )],[refute_0_1126,refute_0_1129]) ).
cnf(refute_0_1131,plain,
( join(meet(A,B),complement(complement(meet(A,B)))) != join(meet(A,B),meet(A,B))
| join(meet(A,B),meet(A,B)) != meet(A,B)
| join(meet(A,B),complement(complement(meet(A,B)))) = meet(A,B) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(A,B),complement(complement(meet(A,B)))))),bind(Y,$fot(join(meet(A,B),meet(A,B)))),bind(Z,$fot(meet(A,B)))]]) ).
cnf(refute_0_1132,plain,
( join(meet(A,B),meet(A,B)) != meet(A,B)
| join(meet(A,B),complement(complement(meet(A,B)))) = meet(A,B) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),complement(complement(meet(A,B)))),join(meet(A,B),meet(A,B))) )],[refute_0_1130,refute_0_1131]) ).
cnf(refute_0_1133,plain,
join(meet(A,B),complement(complement(meet(A,B)))) = meet(A,B),
inference(resolve,[$cnf( $equal(join(meet(A,B),meet(A,B)),meet(A,B)) )],[refute_0_125,refute_0_1132]) ).
cnf(refute_0_1134,plain,
complement(join(meet(A,B),complement(complement(meet(A,B))))) = complement(join(meet(A,B),complement(complement(meet(A,B))))),
introduced(tautology,[refl,[$fot(complement(join(meet(A,B),complement(complement(meet(A,B))))))]]) ).
cnf(refute_0_1135,plain,
( complement(join(meet(A,B),complement(complement(meet(A,B))))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
| join(meet(A,B),complement(complement(meet(A,B)))) != meet(A,B)
| complement(join(meet(A,B),complement(complement(meet(A,B))))) = complement(meet(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(A,B),complement(complement(meet(A,B))))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),[1,0],$fot(meet(A,B))]]) ).
cnf(refute_0_1136,plain,
( join(meet(A,B),complement(complement(meet(A,B)))) != meet(A,B)
| complement(join(meet(A,B),complement(complement(meet(A,B))))) = complement(meet(A,B)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(A,B),complement(complement(meet(A,B))))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) )],[refute_0_1134,refute_0_1135]) ).
cnf(refute_0_1137,plain,
complement(join(meet(A,B),complement(complement(meet(A,B))))) = complement(meet(A,B)),
inference(resolve,[$cnf( $equal(join(meet(A,B),complement(complement(meet(A,B)))),meet(A,B)) )],[refute_0_1133,refute_0_1136]) ).
cnf(refute_0_1138,plain,
join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) = complement(join(meet(A,B),complement(complement(meet(A,B))))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(complement(join(meet(A,B),complement(complement(meet(A,B)))))))]]) ).
cnf(refute_0_1139,plain,
( complement(join(meet(A,B),complement(complement(meet(A,B))))) != complement(meet(A,B))
| join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
| join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) = complement(meet(A,B)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))))),bind(Y,$fot(complement(join(meet(A,B),complement(complement(meet(A,B))))))),bind(Z,$fot(complement(meet(A,B))))]]) ).
cnf(refute_0_1140,plain,
( complement(join(meet(A,B),complement(complement(meet(A,B))))) != complement(meet(A,B))
| join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) = complement(meet(A,B)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) = complement(meet(A,B)),
inference(resolve,[$cnf( $equal(complement(join(meet(A,B),complement(complement(meet(A,B))))),complement(meet(A,B))) )],[refute_0_1137,refute_0_1140]) ).
cnf(refute_0_1142,plain,
( join(complement(A),complement(B)) != join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))
| join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) != complement(meet(A,B))
| join(complement(A),complement(B)) = complement(meet(A,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(A),complement(B)),complement(meet(A,B))) ),[0],$fot(join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))))]]) ).
cnf(refute_0_1143,plain,
( join(complement(A),complement(B)) != join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))
| join(complement(A),complement(B)) = complement(meet(A,B)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))),complement(meet(A,B))) )],[refute_0_1141,refute_0_1142]) ).
cnf(refute_0_1144,plain,
join(complement(A),complement(B)) = complement(meet(A,B)),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))) )],[refute_0_1125,refute_0_1143]) ).
cnf(refute_0_1145,plain,
join(complement(join(one,one)),complement(join(sk1,complement(one)))) = complement(meet(join(one,one),join(sk1,complement(one)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(join(one,one))),bind(B,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_1146,plain,
meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))) = meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_1147,plain,
( join(complement(join(one,one)),complement(join(sk1,complement(one)))) != complement(meet(join(one,one),join(sk1,complement(one))))
| meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))) != meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))
| meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))) = meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))),meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))) ),[1,1],$fot(complement(meet(join(one,one),join(sk1,complement(one)))))]]) ).
cnf(refute_0_1148,plain,
( join(complement(join(one,one)),complement(join(sk1,complement(one)))) != complement(meet(join(one,one),join(sk1,complement(one))))
| meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))) = meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))),meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))) = meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(join(one,one)),complement(join(sk1,complement(one)))),complement(meet(join(one,one),join(sk1,complement(one))))) )],[refute_0_1145,refute_0_1148]) ).
cnf(refute_0_1150,plain,
complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1151,plain,
( complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))) != complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))))
| meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))) != meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))
| complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))))) ),[1,0],$fot(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))]]) ).
cnf(refute_0_1152,plain,
( meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))) != meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))
| complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))))) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))),meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) )],[refute_0_1149,refute_0_1152]) ).
cnf(refute_0_1154,plain,
join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(join(sk1,complement(one)))),bind(B,$fot(join(complement(join(one,one)),complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_1155,plain,
( complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))) != complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))
| join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one)))))) != complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))))
| join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one)))))))),bind(Y,$fot(complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))))),bind(Z,$fot(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1156,plain,
( complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))) != complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))
| join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one))))))) )],[refute_0_1154,refute_0_1155]) ).
cnf(refute_0_1157,plain,
join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),join(complement(join(one,one)),complement(join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))) )],[refute_0_1153,refute_0_1156]) ).
cnf(refute_0_1158,plain,
( join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one)))))) != complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))
| join(one,one) != join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one))))))
| join(one,one) = complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,one),join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one))))))) ),[1],$fot(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1159,plain,
( join(one,one) != join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one))))))
| join(one,one) = complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))) )],[refute_0_1157,refute_0_1158]) ).
cnf(refute_0_1160,plain,
join(one,one) = complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(one,one),join(complement(join(sk1,complement(one))),complement(join(complement(join(one,one)),complement(join(sk1,complement(one))))))) )],[refute_0_1097,refute_0_1159]) ).
cnf(refute_0_1161,plain,
( join(one,one) != complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))
| complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) = join(one,one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,one))),bind(Y,$fot(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1162,plain,
complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) = join(one,one),
inference(resolve,[$cnf( $equal(join(one,one),complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))) )],[refute_0_1160,refute_0_1161]) ).
cnf(refute_0_1163,plain,
( complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) != join(one,one)
| complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) != meet(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))
| complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) = meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),meet(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))) ),[1,0],$fot(join(one,one))]]) ).
cnf(refute_0_1164,plain,
( complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) != meet(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))
| complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) = meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),join(one,one)) )],[refute_0_1162,refute_0_1163]) ).
cnf(refute_0_1165,plain,
complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) = meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),meet(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))) )],[refute_0_1093,refute_0_1164]) ).
cnf(refute_0_1166,plain,
( complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) != join(one,one)
| complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) != meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))
| join(one,one) = meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))) ),[0],$fot(join(one,one))]]) ).
cnf(refute_0_1167,plain,
( complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) != meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))
| join(one,one) = meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),join(one,one)) )],[refute_0_1162,refute_0_1166]) ).
cnf(refute_0_1168,plain,
join(one,one) = meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))) )],[refute_0_1165,refute_0_1167]) ).
cnf(refute_0_1169,plain,
( X_119 != meet(X_119,join(X_118,X_119))
| meet(X_119,join(X_118,X_119)) = X_119 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_119)),bind(Y,$fot(meet(X_119,join(X_118,X_119))))]]) ).
cnf(refute_0_1170,plain,
meet(X_119,join(X_118,X_119)) = X_119,
inference(resolve,[$cnf( $equal(X_119,meet(X_119,join(X_118,X_119))) )],[refute_0_1000,refute_0_1169]) ).
cnf(refute_0_1171,plain,
meet(one,join(one,one)) = one,
inference(subst,[],[refute_0_1170:[bind(X_118,$fot(one)),bind(X_119,$fot(one))]]) ).
cnf(refute_0_1172,plain,
meet(join(one,one),one) = meet(one,join(one,one)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(join(one,one)))]]) ).
cnf(refute_0_1173,plain,
( meet(join(one,one),one) != meet(one,join(one,one))
| meet(one,join(one,one)) != one
| meet(join(one,one),one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(one,one),one))),bind(Y,$fot(meet(one,join(one,one)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1174,plain,
( meet(one,join(one,one)) != one
| meet(join(one,one),one) = one ),
inference(resolve,[$cnf( $equal(meet(join(one,one),one),meet(one,join(one,one))) )],[refute_0_1172,refute_0_1173]) ).
cnf(refute_0_1175,plain,
meet(join(one,one),one) = one,
inference(resolve,[$cnf( $equal(meet(one,join(one,one)),one) )],[refute_0_1171,refute_0_1174]) ).
cnf(refute_0_1176,plain,
one = join(meet(one,complement(converse(join(one,complement(join(one,one)))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))),
inference(subst,[],[refute_0_699:[bind(B,$fot(complement(converse(join(one,complement(join(one,one))))))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_1177,plain,
complement(converse(join(one,complement(converse(join(one,one)))))) = meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(join(one,converse(join(one,complement(converse(join(one,one))))))))))),
inference(subst,[],[refute_0_1092:[bind(X_97,$fot(converse(join(one,complement(converse(join(one,one)))))))]]) ).
cnf(refute_0_1178,plain,
top = join(one,converse(join(one,complement(converse(join(one,one)))))),
inference(subst,[],[refute_0_834:[bind(X_77,$fot(one))]]) ).
cnf(refute_0_1179,plain,
( top != join(one,converse(join(one,complement(converse(join(one,one))))))
| join(one,converse(join(one,complement(converse(join(one,one)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,converse(join(one,complement(converse(join(one,one))))))))]]) ).
cnf(refute_0_1180,plain,
join(one,converse(join(one,complement(converse(join(one,one)))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,converse(join(one,complement(converse(join(one,one))))))) )],[refute_0_1178,refute_0_1179]) ).
cnf(refute_0_1181,plain,
( complement(converse(join(one,complement(converse(join(one,one)))))) != meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(join(one,converse(join(one,complement(converse(join(one,one)))))))))))
| join(one,converse(join(one,complement(converse(join(one,one)))))) != top
| complement(converse(join(one,complement(converse(join(one,one)))))) = meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(one,complement(converse(join(one,one)))))),meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(join(one,converse(join(one,complement(converse(join(one,one)))))))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_1182,plain,
( complement(converse(join(one,complement(converse(join(one,one)))))) != meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(join(one,converse(join(one,complement(converse(join(one,one)))))))))))
| complement(converse(join(one,complement(converse(join(one,one)))))) = meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,complement(converse(join(one,one)))))),top) )],[refute_0_1180,refute_0_1181]) ).
cnf(refute_0_1183,plain,
complement(converse(join(one,complement(converse(join(one,one)))))) = meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(complement(converse(join(one,complement(converse(join(one,one)))))),meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(join(one,converse(join(one,complement(converse(join(one,one)))))))))))) )],[refute_0_1177,refute_0_1182]) ).
cnf(refute_0_1184,plain,
converse(join(one,one)) = join(one,converse(one)),
inference(subst,[],[refute_0_828:[bind(X_12,$fot(one))]]) ).
cnf(refute_0_1185,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(one) != one
| converse(join(one,one)) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1186,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_1185]) ).
cnf(refute_0_1187,plain,
converse(join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_1184,refute_0_1186]) ).
cnf(refute_0_1188,plain,
complement(converse(join(one,one))) = complement(converse(join(one,one))),
introduced(tautology,[refl,[$fot(complement(converse(join(one,one))))]]) ).
cnf(refute_0_1189,plain,
( complement(converse(join(one,one))) != complement(converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| complement(converse(join(one,one))) = complement(join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(one,one))),complement(converse(join(one,one)))) ),[1,0],$fot(join(one,one))]]) ).
cnf(refute_0_1190,plain,
( converse(join(one,one)) != join(one,one)
| complement(converse(join(one,one))) = complement(join(one,one)) ),
inference(resolve,[$cnf( $equal(complement(converse(join(one,one))),complement(converse(join(one,one)))) )],[refute_0_1188,refute_0_1189]) ).
cnf(refute_0_1191,plain,
complement(converse(join(one,one))) = complement(join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_1187,refute_0_1190]) ).
cnf(refute_0_1192,plain,
join(one,complement(converse(join(one,one)))) = join(one,complement(converse(join(one,one)))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(join(one,one)))))]]) ).
cnf(refute_0_1193,plain,
( complement(converse(join(one,one))) != complement(join(one,one))
| join(one,complement(converse(join(one,one)))) != join(one,complement(converse(join(one,one))))
| join(one,complement(converse(join(one,one)))) = join(one,complement(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(join(one,one)))),join(one,complement(converse(join(one,one))))) ),[1,1],$fot(complement(join(one,one)))]]) ).
cnf(refute_0_1194,plain,
( complement(converse(join(one,one))) != complement(join(one,one))
| join(one,complement(converse(join(one,one)))) = join(one,complement(join(one,one))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(one,one)))),join(one,complement(converse(join(one,one))))) )],[refute_0_1192,refute_0_1193]) ).
cnf(refute_0_1195,plain,
join(one,complement(converse(join(one,one)))) = join(one,complement(join(one,one))),
inference(resolve,[$cnf( $equal(complement(converse(join(one,one))),complement(join(one,one))) )],[refute_0_1191,refute_0_1194]) ).
cnf(refute_0_1196,plain,
converse(join(one,complement(converse(join(one,one))))) = converse(join(one,complement(converse(join(one,one))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(join(one,one))))))]]) ).
cnf(refute_0_1197,plain,
( converse(join(one,complement(converse(join(one,one))))) != converse(join(one,complement(converse(join(one,one)))))
| join(one,complement(converse(join(one,one)))) != join(one,complement(join(one,one)))
| converse(join(one,complement(converse(join(one,one))))) = converse(join(one,complement(join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(join(one,one))))),converse(join(one,complement(converse(join(one,one)))))) ),[1,0],$fot(join(one,complement(join(one,one))))]]) ).
cnf(refute_0_1198,plain,
( join(one,complement(converse(join(one,one)))) != join(one,complement(join(one,one)))
| converse(join(one,complement(converse(join(one,one))))) = converse(join(one,complement(join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(one,one))))),converse(join(one,complement(converse(join(one,one)))))) )],[refute_0_1196,refute_0_1197]) ).
cnf(refute_0_1199,plain,
converse(join(one,complement(converse(join(one,one))))) = converse(join(one,complement(join(one,one)))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(one,one)))),join(one,complement(join(one,one)))) )],[refute_0_1195,refute_0_1198]) ).
cnf(refute_0_1200,plain,
complement(converse(join(one,complement(converse(join(one,one)))))) = complement(converse(join(one,complement(converse(join(one,one)))))),
introduced(tautology,[refl,[$fot(complement(converse(join(one,complement(converse(join(one,one)))))))]]) ).
cnf(refute_0_1201,plain,
( complement(converse(join(one,complement(converse(join(one,one)))))) != complement(converse(join(one,complement(converse(join(one,one))))))
| converse(join(one,complement(converse(join(one,one))))) != converse(join(one,complement(join(one,one))))
| complement(converse(join(one,complement(converse(join(one,one)))))) = complement(converse(join(one,complement(join(one,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(one,complement(converse(join(one,one)))))),complement(converse(join(one,complement(converse(join(one,one))))))) ),[1,0],$fot(converse(join(one,complement(join(one,one)))))]]) ).
cnf(refute_0_1202,plain,
( converse(join(one,complement(converse(join(one,one))))) != converse(join(one,complement(join(one,one))))
| complement(converse(join(one,complement(converse(join(one,one)))))) = complement(converse(join(one,complement(join(one,one))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(one,complement(converse(join(one,one)))))),complement(converse(join(one,complement(converse(join(one,one))))))) )],[refute_0_1200,refute_0_1201]) ).
cnf(refute_0_1203,plain,
complement(converse(join(one,complement(converse(join(one,one)))))) = complement(converse(join(one,complement(join(one,one))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(one,one))))),converse(join(one,complement(join(one,one))))) )],[refute_0_1199,refute_0_1202]) ).
cnf(refute_0_1204,plain,
( complement(converse(join(one,complement(converse(join(one,one)))))) != complement(converse(join(one,complement(join(one,one)))))
| complement(converse(join(one,complement(converse(join(one,one)))))) != meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top)))))
| complement(converse(join(one,complement(join(one,one))))) = meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(one,complement(converse(join(one,one)))))),meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top)))))) ),[0],$fot(complement(converse(join(one,complement(join(one,one))))))]]) ).
cnf(refute_0_1205,plain,
( complement(converse(join(one,complement(converse(join(one,one)))))) != meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top)))))
| complement(converse(join(one,complement(join(one,one))))) = meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(one,complement(converse(join(one,one)))))),complement(converse(join(one,complement(join(one,one)))))) )],[refute_0_1203,refute_0_1204]) ).
cnf(refute_0_1206,plain,
meet(one,complement(converse(join(one,complement(converse(join(one,one))))))) = meet(one,complement(converse(join(one,complement(converse(join(one,one))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(converse(join(one,complement(converse(join(one,one))))))))]]) ).
cnf(refute_0_1207,plain,
( complement(converse(join(one,complement(converse(join(one,one)))))) != complement(converse(join(one,complement(join(one,one)))))
| meet(one,complement(converse(join(one,complement(converse(join(one,one))))))) != meet(one,complement(converse(join(one,complement(converse(join(one,one)))))))
| meet(one,complement(converse(join(one,complement(converse(join(one,one))))))) = meet(one,complement(converse(join(one,complement(join(one,one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(join(one,complement(converse(join(one,one))))))),meet(one,complement(converse(join(one,complement(converse(join(one,one)))))))) ),[1,1],$fot(complement(converse(join(one,complement(join(one,one))))))]]) ).
cnf(refute_0_1208,plain,
( complement(converse(join(one,complement(converse(join(one,one)))))) != complement(converse(join(one,complement(join(one,one)))))
| meet(one,complement(converse(join(one,complement(converse(join(one,one))))))) = meet(one,complement(converse(join(one,complement(join(one,one)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(one,complement(converse(join(one,one))))))),meet(one,complement(converse(join(one,complement(converse(join(one,one)))))))) )],[refute_0_1206,refute_0_1207]) ).
cnf(refute_0_1209,plain,
meet(one,complement(converse(join(one,complement(converse(join(one,one))))))) = meet(one,complement(converse(join(one,complement(join(one,one)))))),
inference(resolve,[$cnf( $equal(complement(converse(join(one,complement(converse(join(one,one)))))),complement(converse(join(one,complement(join(one,one)))))) )],[refute_0_1203,refute_0_1208]) ).
cnf(refute_0_1210,plain,
meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))) = meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))),
introduced(tautology,[refl,[$fot(meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))))]]) ).
cnf(refute_0_1211,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))) != meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one)))))))
| meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))) = meet(one,complement(converse(join(one,complement(converse(join(one,one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))),meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1212,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))) = meet(one,complement(converse(join(one,complement(converse(join(one,one))))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))),meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one)))))))) )],[refute_0_1210,refute_0_1211]) ).
cnf(refute_0_1213,plain,
meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))) = meet(one,complement(converse(join(one,complement(converse(join(one,one))))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_962,refute_0_1212]) ).
cnf(refute_0_1214,plain,
( meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))) != meet(one,complement(converse(join(one,complement(converse(join(one,one)))))))
| meet(one,complement(converse(join(one,complement(converse(join(one,one))))))) != meet(one,complement(converse(join(one,complement(join(one,one))))))
| meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))) = meet(one,complement(converse(join(one,complement(join(one,one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))))),bind(Y,$fot(meet(one,complement(converse(join(one,complement(converse(join(one,one))))))))),bind(Z,$fot(meet(one,complement(converse(join(one,complement(join(one,one))))))))]]) ).
cnf(refute_0_1215,plain,
( meet(one,complement(converse(join(one,complement(converse(join(one,one))))))) != meet(one,complement(converse(join(one,complement(join(one,one))))))
| meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))) = meet(one,complement(converse(join(one,complement(join(one,one)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))),meet(one,complement(converse(join(one,complement(converse(join(one,one)))))))) )],[refute_0_1213,refute_0_1214]) ).
cnf(refute_0_1216,plain,
meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))) = meet(one,complement(converse(join(one,complement(join(one,one)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(one,complement(converse(join(one,one))))))),meet(one,complement(converse(join(one,complement(join(one,one))))))) )],[refute_0_1209,refute_0_1215]) ).
cnf(refute_0_1217,plain,
meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))) = meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(join(one,complement(converse(top)))))),bind(X_7,$fot(complement(converse(join(one,complement(converse(join(one,one))))))))]]) ).
cnf(refute_0_1218,plain,
( meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))) != meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one)))))))
| meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))) != meet(one,complement(converse(join(one,complement(join(one,one))))))
| meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))) = meet(one,complement(converse(join(one,complement(join(one,one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))))),bind(Z,$fot(meet(one,complement(converse(join(one,complement(join(one,one))))))))]]) ).
cnf(refute_0_1219,plain,
( meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))) != meet(one,complement(converse(join(one,complement(join(one,one))))))
| meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))) = meet(one,complement(converse(join(one,complement(join(one,one)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))),meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one)))))))) )],[refute_0_1217,refute_0_1218]) ).
cnf(refute_0_1220,plain,
meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))) = meet(one,complement(converse(join(one,complement(join(one,one)))))),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(converse(join(one,complement(converse(join(one,one))))))),meet(one,complement(converse(join(one,complement(join(one,one))))))) )],[refute_0_1216,refute_0_1219]) ).
cnf(refute_0_1221,plain,
( complement(converse(join(one,complement(join(one,one))))) != meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top)))))
| meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))) != meet(one,complement(converse(join(one,complement(join(one,one))))))
| complement(converse(join(one,complement(join(one,one))))) = meet(one,complement(converse(join(one,complement(join(one,one)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(converse(join(one,complement(join(one,one))))))) ),[0],$fot(meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_1222,plain,
( complement(converse(join(one,complement(join(one,one))))) != meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top)))))
| complement(converse(join(one,complement(join(one,one))))) = meet(one,complement(converse(join(one,complement(join(one,one)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top))))),meet(one,complement(converse(join(one,complement(join(one,one))))))) )],[refute_0_1220,refute_0_1221]) ).
cnf(refute_0_1223,plain,
( complement(converse(join(one,complement(converse(join(one,one)))))) != meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top)))))
| complement(converse(join(one,complement(join(one,one))))) = meet(one,complement(converse(join(one,complement(join(one,one)))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(one,complement(join(one,one))))),meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top)))))) )],[refute_0_1205,refute_0_1222]) ).
cnf(refute_0_1224,plain,
complement(converse(join(one,complement(join(one,one))))) = meet(one,complement(converse(join(one,complement(join(one,one)))))),
inference(resolve,[$cnf( $equal(complement(converse(join(one,complement(converse(join(one,one)))))),meet(complement(converse(join(one,complement(converse(join(one,one)))))),converse(join(one,complement(converse(top)))))) )],[refute_0_1183,refute_0_1223]) ).
cnf(refute_0_1225,plain,
( complement(converse(join(one,complement(join(one,one))))) != meet(one,complement(converse(join(one,complement(join(one,one))))))
| meet(one,complement(converse(join(one,complement(join(one,one)))))) = complement(converse(join(one,complement(join(one,one))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(join(one,complement(join(one,one))))))),bind(Y,$fot(meet(one,complement(converse(join(one,complement(join(one,one))))))))]]) ).
cnf(refute_0_1226,plain,
meet(one,complement(converse(join(one,complement(join(one,one)))))) = complement(converse(join(one,complement(join(one,one))))),
inference(resolve,[$cnf( $equal(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(converse(join(one,complement(join(one,one))))))) )],[refute_0_1224,refute_0_1225]) ).
cnf(refute_0_1227,plain,
( meet(one,complement(converse(join(one,complement(join(one,one)))))) != complement(converse(join(one,complement(join(one,one)))))
| one != join(meet(one,complement(converse(join(one,complement(join(one,one)))))),meet(one,complement(complement(converse(join(one,complement(join(one,one))))))))
| one = join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(converse(join(one,complement(join(one,one)))))),meet(one,complement(complement(converse(join(one,complement(join(one,one))))))))) ),[1,0],$fot(complement(converse(join(one,complement(join(one,one))))))]]) ).
cnf(refute_0_1228,plain,
( one != join(meet(one,complement(converse(join(one,complement(join(one,one)))))),meet(one,complement(complement(converse(join(one,complement(join(one,one))))))))
| one = join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(one,complement(join(one,one)))))),complement(converse(join(one,complement(join(one,one)))))) )],[refute_0_1226,refute_0_1227]) ).
cnf(refute_0_1229,plain,
one = join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(converse(join(one,complement(join(one,one)))))),meet(one,complement(complement(converse(join(one,complement(join(one,one))))))))) )],[refute_0_1176,refute_0_1228]) ).
cnf(refute_0_1230,plain,
converse(join(converse(A),join(one,zero))) = join(A,converse(join(one,zero))),
inference(subst,[],[refute_0_705:[bind(X_12,$fot(join(one,zero)))]]) ).
cnf(refute_0_1231,plain,
converse(join(one,zero)) = join(one,converse(zero)),
inference(subst,[],[refute_0_828:[bind(X_12,$fot(zero))]]) ).
cnf(refute_0_1232,plain,
X_97 = join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(join(complement(X_97),converse(complement(converse(complement(X_97))))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(X_97)),bind(B,$fot(converse(complement(converse(complement(X_97))))))]]) ).
cnf(refute_0_1233,plain,
( converse(top) != join(X_15,converse(complement(converse(X_15))))
| converse(top) != top
| top = join(X_15,converse(complement(converse(X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_15,converse(complement(converse(X_15))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1234,plain,
( converse(top) != join(X_15,converse(complement(converse(X_15))))
| top = join(X_15,converse(complement(converse(X_15)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_1233]) ).
cnf(refute_0_1235,plain,
top = join(X_15,converse(complement(converse(X_15)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_15,converse(complement(converse(X_15))))) )],[refute_0_712,refute_0_1234]) ).
cnf(refute_0_1236,plain,
top = join(complement(X_97),converse(complement(converse(complement(X_97))))),
inference(subst,[],[refute_0_1235:[bind(X_15,$fot(complement(X_97)))]]) ).
cnf(refute_0_1237,plain,
( top != join(complement(X_97),converse(complement(converse(complement(X_97)))))
| join(complement(X_97),converse(complement(converse(complement(X_97))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_97),converse(complement(converse(complement(X_97)))))))]]) ).
cnf(refute_0_1238,plain,
join(complement(X_97),converse(complement(converse(complement(X_97))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_97),converse(complement(converse(complement(X_97)))))) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
( X_97 != join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(join(complement(X_97),converse(complement(converse(complement(X_97)))))))
| join(complement(X_97),converse(complement(converse(complement(X_97))))) != top
| X_97 = join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(join(complement(X_97),converse(complement(converse(complement(X_97)))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1240,plain,
( X_97 != join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(join(complement(X_97),converse(complement(converse(complement(X_97)))))))
| X_97 = join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_97),converse(complement(converse(complement(X_97))))),top) )],[refute_0_1238,refute_0_1239]) ).
cnf(refute_0_1241,plain,
X_97 = join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top)),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(join(complement(X_97),converse(complement(converse(complement(X_97)))))))) )],[refute_0_1232,refute_0_1240]) ).
cnf(refute_0_1242,plain,
join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))) = join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))))]]) ).
cnf(refute_0_1243,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))) != join(complement(top),meet(X_97,converse(complement(converse(complement(X_97))))))
| join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))) = join(zero,meet(X_97,converse(complement(converse(complement(X_97)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))),join(complement(top),meet(X_97,converse(complement(converse(complement(X_97))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1244,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))) = join(zero,meet(X_97,converse(complement(converse(complement(X_97)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))),join(complement(top),meet(X_97,converse(complement(converse(complement(X_97))))))) )],[refute_0_1242,refute_0_1243]) ).
cnf(refute_0_1245,plain,
join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))) = join(zero,meet(X_97,converse(complement(converse(complement(X_97)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_1244]) ).
cnf(refute_0_1246,plain,
join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top)) = join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_97,converse(complement(converse(complement(X_97)))))))]]) ).
cnf(refute_0_1247,plain,
( join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))) != join(zero,meet(X_97,converse(complement(converse(complement(X_97))))))
| join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top)) != join(complement(top),meet(X_97,converse(complement(converse(complement(X_97))))))
| join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top)) = join(zero,meet(X_97,converse(complement(converse(complement(X_97)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))))),bind(Z,$fot(join(zero,meet(X_97,converse(complement(converse(complement(X_97))))))))]]) ).
cnf(refute_0_1248,plain,
( join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))) != join(zero,meet(X_97,converse(complement(converse(complement(X_97))))))
| join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top)) = join(zero,meet(X_97,converse(complement(converse(complement(X_97)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top)),join(complement(top),meet(X_97,converse(complement(converse(complement(X_97))))))) )],[refute_0_1246,refute_0_1247]) ).
cnf(refute_0_1249,plain,
join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top)) = join(zero,meet(X_97,converse(complement(converse(complement(X_97)))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,converse(complement(converse(complement(X_97)))))),join(zero,meet(X_97,converse(complement(converse(complement(X_97))))))) )],[refute_0_1245,refute_0_1248]) ).
cnf(refute_0_1250,plain,
( X_97 != join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top))
| join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top)) != join(zero,meet(X_97,converse(complement(converse(complement(X_97))))))
| X_97 = join(zero,meet(X_97,converse(complement(converse(complement(X_97)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,join(zero,meet(X_97,converse(complement(converse(complement(X_97))))))) ),[0],$fot(join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top)))]]) ).
cnf(refute_0_1251,plain,
( X_97 != join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top))
| X_97 = join(zero,meet(X_97,converse(complement(converse(complement(X_97)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top)),join(zero,meet(X_97,converse(complement(converse(complement(X_97))))))) )],[refute_0_1249,refute_0_1250]) ).
cnf(refute_0_1252,plain,
X_97 = join(zero,meet(X_97,converse(complement(converse(complement(X_97)))))),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,converse(complement(converse(complement(X_97))))),complement(top))) )],[refute_0_1241,refute_0_1251]) ).
cnf(refute_0_1253,plain,
converse(zero) = join(zero,meet(converse(zero),converse(complement(converse(complement(converse(zero))))))),
inference(subst,[],[refute_0_1252:[bind(X_97,$fot(converse(zero)))]]) ).
cnf(refute_0_1254,plain,
X_99 = join(zero,meet(X_99,top)),
inference(subst,[],[refute_0_554:[bind(X_97,$fot(X_99))]]) ).
cnf(refute_0_1255,plain,
meet(top,X_99) = meet(X_99,top),
inference(subst,[],[refute_0_33:[bind(X_6,$fot(top)),bind(X_7,$fot(X_99))]]) ).
cnf(refute_0_1256,plain,
( meet(top,X_99) != meet(X_99,top)
| meet(X_99,top) = meet(top,X_99) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,X_99))),bind(Y,$fot(meet(X_99,top)))]]) ).
cnf(refute_0_1257,plain,
meet(X_99,top) = meet(top,X_99),
inference(resolve,[$cnf( $equal(meet(top,X_99),meet(X_99,top)) )],[refute_0_1255,refute_0_1256]) ).
cnf(refute_0_1258,plain,
( X_99 != join(zero,meet(X_99,top))
| meet(X_99,top) != meet(top,X_99)
| X_99 = join(zero,meet(top,X_99)) ),
introduced(tautology,[equality,[$cnf( $equal(X_99,join(zero,meet(X_99,top))) ),[1,1],$fot(meet(top,X_99))]]) ).
cnf(refute_0_1259,plain,
( X_99 != join(zero,meet(X_99,top))
| X_99 = join(zero,meet(top,X_99)) ),
inference(resolve,[$cnf( $equal(meet(X_99,top),meet(top,X_99)) )],[refute_0_1257,refute_0_1258]) ).
cnf(refute_0_1260,plain,
X_99 = join(zero,meet(top,X_99)),
inference(resolve,[$cnf( $equal(X_99,join(zero,meet(X_99,top))) )],[refute_0_1254,refute_0_1259]) ).
cnf(refute_0_1261,plain,
converse(complement(converse(complement(top)))) = join(zero,meet(top,converse(complement(converse(complement(top)))))),
inference(subst,[],[refute_0_1260:[bind(X_99,$fot(converse(complement(converse(complement(top))))))]]) ).
cnf(refute_0_1262,plain,
top = join(zero,meet(top,converse(complement(converse(complement(top)))))),
inference(subst,[],[refute_0_1252:[bind(X_97,$fot(top))]]) ).
cnf(refute_0_1263,plain,
( top != join(zero,meet(top,converse(complement(converse(complement(top))))))
| join(zero,meet(top,converse(complement(converse(complement(top)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,converse(complement(converse(complement(top))))))))]]) ).
cnf(refute_0_1264,plain,
join(zero,meet(top,converse(complement(converse(complement(top)))))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,converse(complement(converse(complement(top))))))) )],[refute_0_1262,refute_0_1263]) ).
cnf(refute_0_1265,plain,
( converse(complement(converse(complement(top)))) != join(zero,meet(top,converse(complement(converse(complement(top))))))
| join(zero,meet(top,converse(complement(converse(complement(top)))))) != top
| converse(complement(converse(complement(top)))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(complement(top)))),top) ),[0],$fot(join(zero,meet(top,converse(complement(converse(complement(top)))))))]]) ).
cnf(refute_0_1266,plain,
( converse(complement(converse(complement(top)))) != join(zero,meet(top,converse(complement(converse(complement(top))))))
| converse(complement(converse(complement(top)))) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(complement(top)))))),top) )],[refute_0_1264,refute_0_1265]) ).
cnf(refute_0_1267,plain,
converse(complement(converse(complement(top)))) = top,
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(top)))),join(zero,meet(top,converse(complement(converse(complement(top))))))) )],[refute_0_1261,refute_0_1266]) ).
cnf(refute_0_1268,plain,
converse(complement(top)) = converse(complement(top)),
introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).
cnf(refute_0_1269,plain,
( complement(top) != zero
| converse(complement(top)) != converse(complement(top))
| converse(complement(top)) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(top)),converse(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1270,plain,
( complement(top) != zero
| converse(complement(top)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_0_1268,refute_0_1269]) ).
cnf(refute_0_1271,plain,
converse(complement(top)) = converse(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_1270]) ).
cnf(refute_0_1272,plain,
complement(converse(complement(top))) = complement(converse(complement(top))),
introduced(tautology,[refl,[$fot(complement(converse(complement(top))))]]) ).
cnf(refute_0_1273,plain,
( complement(converse(complement(top))) != complement(converse(complement(top)))
| converse(complement(top)) != converse(zero)
| complement(converse(complement(top))) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(top))),complement(converse(complement(top)))) ),[1,0],$fot(converse(zero))]]) ).
cnf(refute_0_1274,plain,
( converse(complement(top)) != converse(zero)
| complement(converse(complement(top))) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(top))),complement(converse(complement(top)))) )],[refute_0_1272,refute_0_1273]) ).
cnf(refute_0_1275,plain,
complement(converse(complement(top))) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_1271,refute_0_1274]) ).
cnf(refute_0_1276,plain,
converse(complement(converse(complement(top)))) = converse(complement(converse(complement(top)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(top)))))]]) ).
cnf(refute_0_1277,plain,
( complement(converse(complement(top))) != complement(converse(zero))
| converse(complement(converse(complement(top)))) != converse(complement(converse(complement(top))))
| converse(complement(converse(complement(top)))) = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(top)))),converse(complement(converse(complement(top))))) ),[1,0],$fot(complement(converse(zero)))]]) ).
cnf(refute_0_1278,plain,
( complement(converse(complement(top))) != complement(converse(zero))
| converse(complement(converse(complement(top)))) = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(top)))),converse(complement(converse(complement(top))))) )],[refute_0_1276,refute_0_1277]) ).
cnf(refute_0_1279,plain,
converse(complement(converse(complement(top)))) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(complement(converse(complement(top))),complement(converse(zero))) )],[refute_0_1275,refute_0_1278]) ).
cnf(refute_0_1280,plain,
( converse(complement(converse(complement(top)))) != converse(complement(converse(zero)))
| converse(complement(converse(complement(top)))) != top
| converse(complement(converse(zero))) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(top)))),top) ),[0],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_1281,plain,
( converse(complement(converse(complement(top)))) != top
| converse(complement(converse(zero))) = top ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(top)))),converse(complement(converse(zero)))) )],[refute_0_1279,refute_0_1280]) ).
cnf(refute_0_1282,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(top)))),top) )],[refute_0_1267,refute_0_1281]) ).
cnf(refute_0_1283,plain,
( converse(complement(converse(zero))) != top
| converse(zero) != join(zero,meet(converse(zero),converse(complement(converse(complement(converse(zero)))))))
| converse(zero) = join(zero,meet(converse(zero),converse(complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),converse(complement(converse(complement(converse(zero)))))))) ),[1,1,1,0,0],$fot(top)]]) ).
cnf(refute_0_1284,plain,
( converse(zero) != join(zero,meet(converse(zero),converse(complement(converse(complement(converse(zero)))))))
| converse(zero) = join(zero,meet(converse(zero),converse(complement(top)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_1282,refute_0_1283]) ).
cnf(refute_0_1285,plain,
converse(zero) = join(zero,meet(converse(zero),converse(complement(top)))),
inference(resolve,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),converse(complement(converse(complement(converse(zero)))))))) )],[refute_0_1253,refute_0_1284]) ).
cnf(refute_0_1286,plain,
converse(converse(complement(converse(zero)))) = complement(converse(zero)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1287,plain,
( converse(complement(converse(zero))) != top
| converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1288,plain,
( converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_1282,refute_0_1287]) ).
cnf(refute_0_1289,plain,
converse(top) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_1286,refute_0_1288]) ).
cnf(refute_0_1290,plain,
( converse(top) != complement(converse(zero))
| converse(top) != top
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),complement(converse(zero))) ),[0],$fot(top)]]) ).
cnf(refute_0_1291,plain,
( converse(top) != complement(converse(zero))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_1290]) ).
cnf(refute_0_1292,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(top),complement(converse(zero))) )],[refute_0_1289,refute_0_1291]) ).
cnf(refute_0_1293,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1294,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_1292,refute_0_1293]) ).
cnf(refute_0_1295,plain,
complement(complement(converse(zero))) = complement(complement(converse(zero))),
introduced(tautology,[refl,[$fot(complement(complement(converse(zero))))]]) ).
cnf(refute_0_1296,plain,
( complement(complement(converse(zero))) != complement(complement(converse(zero)))
| complement(converse(zero)) != top
| complement(complement(converse(zero))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(zero))),complement(complement(converse(zero)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1297,plain,
( complement(converse(zero)) != top
| complement(complement(converse(zero))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(zero))),complement(complement(converse(zero)))) )],[refute_0_1295,refute_0_1296]) ).
cnf(refute_0_1298,plain,
complement(complement(converse(zero))) = complement(top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_1294,refute_0_1297]) ).
cnf(refute_0_1299,plain,
( complement(complement(converse(zero))) != complement(top)
| complement(top) != zero
| complement(complement(converse(zero))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(complement(converse(zero))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1300,plain,
( complement(top) != zero
| complement(complement(converse(zero))) = zero ),
inference(resolve,[$cnf( $equal(complement(complement(converse(zero))),complement(top)) )],[refute_0_1298,refute_0_1299]) ).
cnf(refute_0_1301,plain,
complement(complement(converse(zero))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_1300]) ).
cnf(refute_0_1302,plain,
meet(converse(zero),converse(zero)) = complement(complement(converse(zero))),
inference(subst,[],[refute_0_417:[bind(B,$fot(converse(zero)))]]) ).
cnf(refute_0_1303,plain,
( complement(complement(converse(zero))) != zero
| meet(converse(zero),converse(zero)) != complement(complement(converse(zero)))
| meet(converse(zero),converse(zero)) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(zero),converse(zero)))),bind(Y,$fot(complement(complement(converse(zero))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1304,plain,
( complement(complement(converse(zero))) != zero
| meet(converse(zero),converse(zero)) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(zero),converse(zero)),complement(complement(converse(zero)))) )],[refute_0_1302,refute_0_1303]) ).
cnf(refute_0_1305,plain,
meet(converse(zero),converse(zero)) = zero,
inference(resolve,[$cnf( $equal(complement(complement(converse(zero))),zero) )],[refute_0_1301,refute_0_1304]) ).
cnf(refute_0_1306,plain,
meet(converse(zero),converse(complement(top))) = meet(converse(zero),converse(complement(top))),
introduced(tautology,[refl,[$fot(meet(converse(zero),converse(complement(top))))]]) ).
cnf(refute_0_1307,plain,
( converse(complement(top)) != converse(zero)
| meet(converse(zero),converse(complement(top))) != meet(converse(zero),converse(complement(top)))
| meet(converse(zero),converse(complement(top))) = meet(converse(zero),converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(zero),converse(complement(top))),meet(converse(zero),converse(complement(top)))) ),[1,1],$fot(converse(zero))]]) ).
cnf(refute_0_1308,plain,
( converse(complement(top)) != converse(zero)
| meet(converse(zero),converse(complement(top))) = meet(converse(zero),converse(zero)) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),converse(complement(top))),meet(converse(zero),converse(complement(top)))) )],[refute_0_1306,refute_0_1307]) ).
cnf(refute_0_1309,plain,
meet(converse(zero),converse(complement(top))) = meet(converse(zero),converse(zero)),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_1271,refute_0_1308]) ).
cnf(refute_0_1310,plain,
( meet(converse(zero),converse(complement(top))) != meet(converse(zero),converse(zero))
| meet(converse(zero),converse(zero)) != zero
| meet(converse(zero),converse(complement(top))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(zero),converse(complement(top))))),bind(Y,$fot(meet(converse(zero),converse(zero)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1311,plain,
( meet(converse(zero),converse(zero)) != zero
| meet(converse(zero),converse(complement(top))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(zero),converse(complement(top))),meet(converse(zero),converse(zero))) )],[refute_0_1309,refute_0_1310]) ).
cnf(refute_0_1312,plain,
meet(converse(zero),converse(complement(top))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(zero),converse(zero)),zero) )],[refute_0_1305,refute_0_1311]) ).
cnf(refute_0_1313,plain,
join(zero,meet(converse(zero),converse(complement(top)))) = join(zero,meet(converse(zero),converse(complement(top)))),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(zero),converse(complement(top)))))]]) ).
cnf(refute_0_1314,plain,
( join(zero,meet(converse(zero),converse(complement(top)))) != join(zero,meet(converse(zero),converse(complement(top))))
| meet(converse(zero),converse(complement(top))) != zero
| join(zero,meet(converse(zero),converse(complement(top)))) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(zero),converse(complement(top)))),join(zero,meet(converse(zero),converse(complement(top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1315,plain,
( meet(converse(zero),converse(complement(top))) != zero
| join(zero,meet(converse(zero),converse(complement(top)))) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),converse(complement(top)))),join(zero,meet(converse(zero),converse(complement(top))))) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
join(zero,meet(converse(zero),converse(complement(top)))) = join(zero,zero),
inference(resolve,[$cnf( $equal(meet(converse(zero),converse(complement(top))),zero) )],[refute_0_1312,refute_0_1315]) ).
cnf(refute_0_1317,plain,
( join(zero,meet(converse(zero),converse(complement(top)))) != join(zero,zero)
| join(zero,zero) != zero
| join(zero,meet(converse(zero),converse(complement(top)))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,meet(converse(zero),converse(complement(top)))))),bind(Y,$fot(join(zero,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1318,plain,
( join(zero,zero) != zero
| join(zero,meet(converse(zero),converse(complement(top)))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),converse(complement(top)))),join(zero,zero)) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
join(zero,meet(converse(zero),converse(complement(top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_379,refute_0_1318]) ).
cnf(refute_0_1320,plain,
( converse(zero) != join(zero,meet(converse(zero),converse(complement(top))))
| join(zero,meet(converse(zero),converse(complement(top)))) != zero
| converse(zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),zero) ),[0],$fot(join(zero,meet(converse(zero),converse(complement(top)))))]]) ).
cnf(refute_0_1321,plain,
( converse(zero) != join(zero,meet(converse(zero),converse(complement(top))))
| converse(zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),converse(complement(top)))),zero) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),converse(complement(top))))) )],[refute_0_1285,refute_0_1321]) ).
cnf(refute_0_1323,plain,
( converse(join(one,zero)) != join(one,converse(zero))
| converse(zero) != zero
| converse(join(one,zero)) = join(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,zero)),join(one,converse(zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1324,plain,
( converse(join(one,zero)) != join(one,converse(zero))
| converse(join(one,zero)) = join(one,zero) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1322,refute_0_1323]) ).
cnf(refute_0_1325,plain,
converse(join(one,zero)) = join(one,zero),
inference(resolve,[$cnf( $equal(converse(join(one,zero)),join(one,converse(zero))) )],[refute_0_1231,refute_0_1324]) ).
cnf(refute_0_1326,plain,
( converse(join(converse(A),join(one,zero))) != join(A,converse(join(one,zero)))
| converse(join(one,zero)) != join(one,zero)
| converse(join(converse(A),join(one,zero))) = join(A,join(one,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(one,zero))),join(A,converse(join(one,zero)))) ),[1,1],$fot(join(one,zero))]]) ).
cnf(refute_0_1327,plain,
( converse(join(converse(A),join(one,zero))) != join(A,converse(join(one,zero)))
| converse(join(converse(A),join(one,zero))) = join(A,join(one,zero)) ),
inference(resolve,[$cnf( $equal(converse(join(one,zero)),join(one,zero)) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
converse(join(converse(A),join(one,zero))) = join(A,join(one,zero)),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,zero))),join(A,converse(join(one,zero)))) )],[refute_0_1230,refute_0_1327]) ).
cnf(refute_0_1329,plain,
join(converse(zero),A) = join(converse(zero),A),
introduced(tautology,[refl,[$fot(join(converse(zero),A))]]) ).
cnf(refute_0_1330,plain,
( converse(zero) != zero
| join(converse(zero),A) != join(converse(zero),A)
| join(converse(zero),A) = join(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(zero),A),join(converse(zero),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1331,plain,
( converse(zero) != zero
| join(converse(zero),A) = join(zero,A) ),
inference(resolve,[$cnf( $equal(join(converse(zero),A),join(converse(zero),A)) )],[refute_0_1329,refute_0_1330]) ).
cnf(refute_0_1332,plain,
join(converse(zero),A) = join(zero,A),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1322,refute_0_1331]) ).
cnf(refute_0_1333,plain,
join(one,join(converse(zero),A)) = join(one,join(converse(zero),A)),
introduced(tautology,[refl,[$fot(join(one,join(converse(zero),A)))]]) ).
cnf(refute_0_1334,plain,
( join(converse(zero),A) != join(zero,A)
| join(one,join(converse(zero),A)) != join(one,join(converse(zero),A))
| join(one,join(converse(zero),A)) = join(one,join(zero,A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(zero),A)),join(one,join(converse(zero),A))) ),[1,1],$fot(join(zero,A))]]) ).
cnf(refute_0_1335,plain,
( join(converse(zero),A) != join(zero,A)
| join(one,join(converse(zero),A)) = join(one,join(zero,A)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(zero),A)),join(one,join(converse(zero),A))) )],[refute_0_1333,refute_0_1334]) ).
cnf(refute_0_1336,plain,
join(one,join(converse(zero),A)) = join(one,join(zero,A)),
inference(resolve,[$cnf( $equal(join(converse(zero),A),join(zero,A)) )],[refute_0_1332,refute_0_1335]) ).
cnf(refute_0_1337,plain,
join(one,join(converse(X_58),C)) = join(join(one,converse(X_58)),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(one)),bind(B,$fot(converse(X_58)))]]) ).
cnf(refute_0_1338,plain,
converse(join(one,X_58)) = join(one,converse(X_58)),
inference(subst,[],[refute_0_828:[bind(X_12,$fot(X_58))]]) ).
cnf(refute_0_1339,plain,
( converse(join(one,X_58)) != join(one,converse(X_58))
| join(one,converse(X_58)) = converse(join(one,X_58)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,X_58)))),bind(Y,$fot(join(one,converse(X_58))))]]) ).
cnf(refute_0_1340,plain,
join(one,converse(X_58)) = converse(join(one,X_58)),
inference(resolve,[$cnf( $equal(converse(join(one,X_58)),join(one,converse(X_58))) )],[refute_0_1338,refute_0_1339]) ).
cnf(refute_0_1341,plain,
( join(one,converse(X_58)) != converse(join(one,X_58))
| join(one,join(converse(X_58),C)) != join(join(one,converse(X_58)),C)
| join(one,join(converse(X_58),C)) = join(converse(join(one,X_58)),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_58),C)),join(join(one,converse(X_58)),C)) ),[1,0],$fot(converse(join(one,X_58)))]]) ).
cnf(refute_0_1342,plain,
( join(one,join(converse(X_58),C)) != join(join(one,converse(X_58)),C)
| join(one,join(converse(X_58),C)) = join(converse(join(one,X_58)),C) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_58)),converse(join(one,X_58))) )],[refute_0_1340,refute_0_1341]) ).
cnf(refute_0_1343,plain,
join(one,join(converse(X_58),C)) = join(converse(join(one,X_58)),C),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_58),C)),join(join(one,converse(X_58)),C)) )],[refute_0_1337,refute_0_1342]) ).
cnf(refute_0_1344,plain,
( join(one,join(converse(X_58),C)) != join(converse(join(one,X_58)),C)
| join(converse(join(one,X_58)),C) = join(one,join(converse(X_58),C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,join(converse(X_58),C)))),bind(Y,$fot(join(converse(join(one,X_58)),C)))]]) ).
cnf(refute_0_1345,plain,
join(converse(join(one,X_58)),C) = join(one,join(converse(X_58),C)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_58),C)),join(converse(join(one,X_58)),C)) )],[refute_0_1343,refute_0_1344]) ).
cnf(refute_0_1346,plain,
join(converse(join(one,zero)),A) = join(one,join(converse(zero),A)),
inference(subst,[],[refute_0_1345:[bind(C,$fot(A)),bind(X_58,$fot(zero))]]) ).
cnf(refute_0_1347,plain,
converse(join(X_11,converse(A))) = join(converse(X_11),converse(converse(A))),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(X_11)),bind(B,$fot(converse(A)))]]) ).
cnf(refute_0_1348,plain,
( converse(converse(A)) != A
| converse(join(X_11,converse(A))) != join(converse(X_11),converse(converse(A)))
| converse(join(X_11,converse(A))) = join(converse(X_11),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_11,converse(A))),join(converse(X_11),converse(converse(A)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_1349,plain,
( converse(join(X_11,converse(A))) != join(converse(X_11),converse(converse(A)))
| converse(join(X_11,converse(A))) = join(converse(X_11),A) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_1348]) ).
cnf(refute_0_1350,plain,
converse(join(X_11,converse(A))) = join(converse(X_11),A),
inference(resolve,[$cnf( $equal(converse(join(X_11,converse(A))),join(converse(X_11),converse(converse(A)))) )],[refute_0_1347,refute_0_1349]) ).
cnf(refute_0_1351,plain,
converse(join(join(X_31,X_32),converse(A))) = join(converse(join(X_31,X_32)),A),
inference(subst,[],[refute_0_1350:[bind(X_11,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_1352,plain,
join(X_31,join(X_32,converse(A))) = join(join(X_31,X_32),converse(A)),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_31)),bind(B,$fot(X_32)),bind(C,$fot(converse(A)))]]) ).
cnf(refute_0_1353,plain,
( join(X_31,join(X_32,converse(A))) != join(join(X_31,X_32),converse(A))
| join(join(X_31,X_32),converse(A)) = join(X_31,join(X_32,converse(A))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_31,join(X_32,converse(A))))),bind(Y,$fot(join(join(X_31,X_32),converse(A))))]]) ).
cnf(refute_0_1354,plain,
join(join(X_31,X_32),converse(A)) = join(X_31,join(X_32,converse(A))),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,converse(A))),join(join(X_31,X_32),converse(A))) )],[refute_0_1352,refute_0_1353]) ).
cnf(refute_0_1355,plain,
( converse(join(join(X_31,X_32),converse(A))) != join(converse(join(X_31,X_32)),A)
| join(join(X_31,X_32),converse(A)) != join(X_31,join(X_32,converse(A)))
| converse(join(X_31,join(X_32,converse(A)))) = join(converse(join(X_31,X_32)),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_31,X_32),converse(A))),join(converse(join(X_31,X_32)),A)) ),[0,0],$fot(join(X_31,join(X_32,converse(A))))]]) ).
cnf(refute_0_1356,plain,
( converse(join(join(X_31,X_32),converse(A))) != join(converse(join(X_31,X_32)),A)
| converse(join(X_31,join(X_32,converse(A)))) = join(converse(join(X_31,X_32)),A) ),
inference(resolve,[$cnf( $equal(join(join(X_31,X_32),converse(A)),join(X_31,join(X_32,converse(A)))) )],[refute_0_1354,refute_0_1355]) ).
cnf(refute_0_1357,plain,
converse(join(X_31,join(X_32,converse(A)))) = join(converse(join(X_31,X_32)),A),
inference(resolve,[$cnf( $equal(converse(join(join(X_31,X_32),converse(A))),join(converse(join(X_31,X_32)),A)) )],[refute_0_1351,refute_0_1356]) ).
cnf(refute_0_1358,plain,
converse(join(one,join(zero,converse(A)))) = join(converse(join(one,zero)),A),
inference(subst,[],[refute_0_1357:[bind(X_31,$fot(one)),bind(X_32,$fot(zero))]]) ).
cnf(refute_0_1359,plain,
( converse(join(one,join(zero,converse(A)))) != join(converse(join(one,zero)),A)
| join(converse(join(one,zero)),A) != join(one,join(converse(zero),A))
| converse(join(one,join(zero,converse(A)))) = join(one,join(converse(zero),A)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,join(zero,converse(A)))))),bind(Y,$fot(join(converse(join(one,zero)),A))),bind(Z,$fot(join(one,join(converse(zero),A))))]]) ).
cnf(refute_0_1360,plain,
( join(converse(join(one,zero)),A) != join(one,join(converse(zero),A))
| converse(join(one,join(zero,converse(A)))) = join(one,join(converse(zero),A)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(zero,converse(A)))),join(converse(join(one,zero)),A)) )],[refute_0_1358,refute_0_1359]) ).
cnf(refute_0_1361,plain,
converse(join(one,join(zero,converse(A)))) = join(one,join(converse(zero),A)),
inference(resolve,[$cnf( $equal(join(converse(join(one,zero)),A),join(one,join(converse(zero),A))) )],[refute_0_1346,refute_0_1360]) ).
cnf(refute_0_1362,plain,
converse(join(X_12,join(X_31,X_32))) = converse(join(join(X_31,X_32),X_12)),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_1363,plain,
join(X_31,join(X_32,X_12)) = join(join(X_31,X_32),X_12),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_31)),bind(B,$fot(X_32)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_1364,plain,
( join(X_31,join(X_32,X_12)) != join(join(X_31,X_32),X_12)
| join(join(X_31,X_32),X_12) = join(X_31,join(X_32,X_12)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_31,join(X_32,X_12)))),bind(Y,$fot(join(join(X_31,X_32),X_12)))]]) ).
cnf(refute_0_1365,plain,
join(join(X_31,X_32),X_12) = join(X_31,join(X_32,X_12)),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,X_12)),join(join(X_31,X_32),X_12)) )],[refute_0_1363,refute_0_1364]) ).
cnf(refute_0_1366,plain,
( converse(join(X_12,join(X_31,X_32))) != converse(join(join(X_31,X_32),X_12))
| join(join(X_31,X_32),X_12) != join(X_31,join(X_32,X_12))
| converse(join(X_12,join(X_31,X_32))) = converse(join(X_31,join(X_32,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_12,join(X_31,X_32))),converse(join(join(X_31,X_32),X_12))) ),[1,0],$fot(join(X_31,join(X_32,X_12)))]]) ).
cnf(refute_0_1367,plain,
( converse(join(X_12,join(X_31,X_32))) != converse(join(join(X_31,X_32),X_12))
| converse(join(X_12,join(X_31,X_32))) = converse(join(X_31,join(X_32,X_12))) ),
inference(resolve,[$cnf( $equal(join(join(X_31,X_32),X_12),join(X_31,join(X_32,X_12))) )],[refute_0_1365,refute_0_1366]) ).
cnf(refute_0_1368,plain,
converse(join(X_12,join(X_31,X_32))) = converse(join(X_31,join(X_32,X_12))),
inference(resolve,[$cnf( $equal(converse(join(X_12,join(X_31,X_32))),converse(join(join(X_31,X_32),X_12))) )],[refute_0_1362,refute_0_1367]) ).
cnf(refute_0_1369,plain,
( converse(join(X_12,join(X_31,X_32))) != converse(join(X_31,join(X_32,X_12)))
| converse(join(X_31,join(X_32,X_12))) = converse(join(X_12,join(X_31,X_32))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_12,join(X_31,X_32))))),bind(Y,$fot(converse(join(X_31,join(X_32,X_12)))))]]) ).
cnf(refute_0_1370,plain,
converse(join(X_31,join(X_32,X_12))) = converse(join(X_12,join(X_31,X_32))),
inference(resolve,[$cnf( $equal(converse(join(X_12,join(X_31,X_32))),converse(join(X_31,join(X_32,X_12)))) )],[refute_0_1368,refute_0_1369]) ).
cnf(refute_0_1371,plain,
converse(join(zero,join(converse(A),one))) = converse(join(one,join(zero,converse(A)))),
inference(subst,[],[refute_0_1370:[bind(X_12,$fot(one)),bind(X_31,$fot(zero)),bind(X_32,$fot(converse(A)))]]) ).
cnf(refute_0_1372,plain,
( converse(join(one,join(zero,converse(A)))) != join(one,join(converse(zero),A))
| converse(join(zero,join(converse(A),one))) != converse(join(one,join(zero,converse(A))))
| converse(join(zero,join(converse(A),one))) = join(one,join(converse(zero),A)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(zero,join(converse(A),one))))),bind(Y,$fot(converse(join(one,join(zero,converse(A)))))),bind(Z,$fot(join(one,join(converse(zero),A))))]]) ).
cnf(refute_0_1373,plain,
( converse(join(one,join(zero,converse(A)))) != join(one,join(converse(zero),A))
| converse(join(zero,join(converse(A),one))) = join(one,join(converse(zero),A)) ),
inference(resolve,[$cnf( $equal(converse(join(zero,join(converse(A),one))),converse(join(one,join(zero,converse(A))))) )],[refute_0_1371,refute_0_1372]) ).
cnf(refute_0_1374,plain,
converse(join(zero,join(converse(A),one))) = join(one,join(converse(zero),A)),
inference(resolve,[$cnf( $equal(converse(join(one,join(zero,converse(A)))),join(one,join(converse(zero),A))) )],[refute_0_1361,refute_0_1373]) ).
cnf(refute_0_1375,plain,
converse(join(converse(A),join(one,zero))) = converse(join(zero,join(converse(A),one))),
inference(subst,[],[refute_0_1370:[bind(X_12,$fot(zero)),bind(X_31,$fot(converse(A))),bind(X_32,$fot(one))]]) ).
cnf(refute_0_1376,plain,
( converse(join(converse(A),join(one,zero))) != converse(join(zero,join(converse(A),one)))
| converse(join(zero,join(converse(A),one))) != join(one,join(converse(zero),A))
| converse(join(converse(A),join(one,zero))) = join(one,join(converse(zero),A)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(converse(A),join(one,zero))))),bind(Y,$fot(converse(join(zero,join(converse(A),one))))),bind(Z,$fot(join(one,join(converse(zero),A))))]]) ).
cnf(refute_0_1377,plain,
( converse(join(zero,join(converse(A),one))) != join(one,join(converse(zero),A))
| converse(join(converse(A),join(one,zero))) = join(one,join(converse(zero),A)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,zero))),converse(join(zero,join(converse(A),one)))) )],[refute_0_1375,refute_0_1376]) ).
cnf(refute_0_1378,plain,
converse(join(converse(A),join(one,zero))) = join(one,join(converse(zero),A)),
inference(resolve,[$cnf( $equal(converse(join(zero,join(converse(A),one))),join(one,join(converse(zero),A))) )],[refute_0_1374,refute_0_1377]) ).
cnf(refute_0_1379,plain,
( converse(join(converse(A),join(one,zero))) != join(one,join(converse(zero),A))
| join(one,join(converse(zero),A)) != join(one,join(zero,A))
| converse(join(converse(A),join(one,zero))) = join(one,join(zero,A)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(converse(A),join(one,zero))))),bind(Y,$fot(join(one,join(converse(zero),A)))),bind(Z,$fot(join(one,join(zero,A))))]]) ).
cnf(refute_0_1380,plain,
( join(one,join(converse(zero),A)) != join(one,join(zero,A))
| converse(join(converse(A),join(one,zero))) = join(one,join(zero,A)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,zero))),join(one,join(converse(zero),A))) )],[refute_0_1378,refute_0_1379]) ).
cnf(refute_0_1381,plain,
converse(join(converse(A),join(one,zero))) = join(one,join(zero,A)),
inference(resolve,[$cnf( $equal(join(one,join(converse(zero),A)),join(one,join(zero,A))) )],[refute_0_1336,refute_0_1380]) ).
cnf(refute_0_1382,plain,
( converse(join(converse(A),join(one,zero))) != join(A,join(one,zero))
| converse(join(converse(A),join(one,zero))) != join(one,join(zero,A))
| join(one,join(zero,A)) = join(A,join(one,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(one,zero))),join(A,join(one,zero))) ),[0],$fot(join(one,join(zero,A)))]]) ).
cnf(refute_0_1383,plain,
( converse(join(converse(A),join(one,zero))) != join(A,join(one,zero))
| join(one,join(zero,A)) = join(A,join(one,zero)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,zero))),join(one,join(zero,A))) )],[refute_0_1381,refute_0_1382]) ).
cnf(refute_0_1384,plain,
join(one,join(zero,A)) = join(A,join(one,zero)),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,zero))),join(A,join(one,zero))) )],[refute_0_1328,refute_0_1383]) ).
cnf(refute_0_1385,plain,
join(zero,A) = A,
inference(subst,[],[refute_0_670:[bind(X_97,$fot(A))]]) ).
cnf(refute_0_1386,plain,
join(one,join(zero,A)) = join(one,join(zero,A)),
introduced(tautology,[refl,[$fot(join(one,join(zero,A)))]]) ).
cnf(refute_0_1387,plain,
( join(one,join(zero,A)) != join(one,join(zero,A))
| join(zero,A) != A
| join(one,join(zero,A)) = join(one,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(zero,A)),join(one,join(zero,A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_1388,plain,
( join(zero,A) != A
| join(one,join(zero,A)) = join(one,A) ),
inference(resolve,[$cnf( $equal(join(one,join(zero,A)),join(one,join(zero,A))) )],[refute_0_1386,refute_0_1387]) ).
cnf(refute_0_1389,plain,
join(one,join(zero,A)) = join(one,A),
inference(resolve,[$cnf( $equal(join(zero,A),A) )],[refute_0_1385,refute_0_1388]) ).
cnf(refute_0_1390,plain,
( join(one,join(zero,A)) != join(A,join(one,zero))
| join(one,join(zero,A)) != join(one,A)
| join(one,A) = join(A,join(one,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(zero,A)),join(A,join(one,zero))) ),[0],$fot(join(one,A))]]) ).
cnf(refute_0_1391,plain,
( join(one,join(zero,A)) != join(A,join(one,zero))
| join(one,A) = join(A,join(one,zero)) ),
inference(resolve,[$cnf( $equal(join(one,join(zero,A)),join(one,A)) )],[refute_0_1389,refute_0_1390]) ).
cnf(refute_0_1392,plain,
join(one,A) = join(A,join(one,zero)),
inference(resolve,[$cnf( $equal(join(one,join(zero,A)),join(A,join(one,zero))) )],[refute_0_1384,refute_0_1391]) ).
cnf(refute_0_1393,plain,
join(A,join(one,zero)) = join(A,join(one,zero)),
introduced(tautology,[refl,[$fot(join(A,join(one,zero)))]]) ).
cnf(refute_0_1394,plain,
( join(A,join(one,zero)) != join(A,join(one,zero))
| join(one,zero) != one
| join(A,join(one,zero)) = join(A,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(one,zero)),join(A,join(one,zero))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1395,plain,
( join(one,zero) != one
| join(A,join(one,zero)) = join(A,one) ),
inference(resolve,[$cnf( $equal(join(A,join(one,zero)),join(A,join(one,zero))) )],[refute_0_1393,refute_0_1394]) ).
cnf(refute_0_1396,plain,
join(A,join(one,zero)) = join(A,one),
inference(resolve,[$cnf( $equal(join(one,zero),one) )],[refute_0_941,refute_0_1395]) ).
cnf(refute_0_1397,plain,
( join(A,join(one,zero)) != join(A,one)
| join(one,A) != join(A,join(one,zero))
| join(one,A) = join(A,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,A),join(A,join(one,zero))) ),[1],$fot(join(A,one))]]) ).
cnf(refute_0_1398,plain,
( join(one,A) != join(A,join(one,zero))
| join(one,A) = join(A,one) ),
inference(resolve,[$cnf( $equal(join(A,join(one,zero)),join(A,one)) )],[refute_0_1396,refute_0_1397]) ).
cnf(refute_0_1399,plain,
join(one,A) = join(A,one),
inference(resolve,[$cnf( $equal(join(one,A),join(A,join(one,zero))) )],[refute_0_1392,refute_0_1398]) ).
cnf(refute_0_1400,plain,
( join(one,A) != join(A,one)
| join(A,one) = join(one,A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,A))),bind(Y,$fot(join(A,one)))]]) ).
cnf(refute_0_1401,plain,
join(A,one) = join(one,A),
inference(resolve,[$cnf( $equal(join(one,A),join(A,one)) )],[refute_0_1399,refute_0_1400]) ).
cnf(refute_0_1402,plain,
join(complement(converse(join(one,complement(join(one,one))))),one) = join(one,complement(converse(join(one,complement(join(one,one)))))),
inference(subst,[],[refute_0_1401:[bind(A,$fot(complement(converse(join(one,complement(join(one,one)))))))]]) ).
cnf(refute_0_1403,plain,
one = meet(one,join(one,converse(X_12))),
inference(subst,[],[refute_0_677:[bind(X_33,$fot(converse(X_12))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_1404,plain,
( converse(join(one,X_12)) != join(one,converse(X_12))
| join(one,converse(X_12)) = converse(join(one,X_12)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,X_12)))),bind(Y,$fot(join(one,converse(X_12))))]]) ).
cnf(refute_0_1405,plain,
join(one,converse(X_12)) = converse(join(one,X_12)),
inference(resolve,[$cnf( $equal(converse(join(one,X_12)),join(one,converse(X_12))) )],[refute_0_828,refute_0_1404]) ).
cnf(refute_0_1406,plain,
( join(one,converse(X_12)) != converse(join(one,X_12))
| one != meet(one,join(one,converse(X_12)))
| one = meet(one,converse(join(one,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(one,meet(one,join(one,converse(X_12)))) ),[1,1],$fot(converse(join(one,X_12)))]]) ).
cnf(refute_0_1407,plain,
( one != meet(one,join(one,converse(X_12)))
| one = meet(one,converse(join(one,X_12))) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_12)),converse(join(one,X_12))) )],[refute_0_1405,refute_0_1406]) ).
cnf(refute_0_1408,plain,
one = meet(one,converse(join(one,X_12))),
inference(resolve,[$cnf( $equal(one,meet(one,join(one,converse(X_12)))) )],[refute_0_1403,refute_0_1407]) ).
cnf(refute_0_1409,plain,
( one != meet(one,converse(join(one,X_12)))
| meet(one,converse(join(one,X_12))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(meet(one,converse(join(one,X_12)))))]]) ).
cnf(refute_0_1410,plain,
meet(one,converse(join(one,X_12))) = one,
inference(resolve,[$cnf( $equal(one,meet(one,converse(join(one,X_12)))) )],[refute_0_1408,refute_0_1409]) ).
cnf(refute_0_1411,plain,
meet(one,converse(join(one,complement(join(one,one))))) = one,
inference(subst,[],[refute_0_1410:[bind(X_12,$fot(complement(join(one,one))))]]) ).
cnf(refute_0_1412,plain,
complement(complement(converse(join(one,complement(join(one,one)))))) = converse(join(one,complement(join(one,one)))),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(converse(join(one,complement(join(one,one))))))]]) ).
cnf(refute_0_1413,plain,
meet(one,complement(complement(converse(join(one,complement(join(one,one))))))) = meet(one,complement(complement(converse(join(one,complement(join(one,one))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(converse(join(one,complement(join(one,one))))))))]]) ).
cnf(refute_0_1414,plain,
( complement(complement(converse(join(one,complement(join(one,one)))))) != converse(join(one,complement(join(one,one))))
| meet(one,complement(complement(converse(join(one,complement(join(one,one))))))) != meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))
| meet(one,complement(complement(converse(join(one,complement(join(one,one))))))) = meet(one,converse(join(one,complement(join(one,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(converse(join(one,complement(join(one,one))))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) ),[1,1],$fot(converse(join(one,complement(join(one,one)))))]]) ).
cnf(refute_0_1415,plain,
( complement(complement(converse(join(one,complement(join(one,one)))))) != converse(join(one,complement(join(one,one))))
| meet(one,complement(complement(converse(join(one,complement(join(one,one))))))) = meet(one,converse(join(one,complement(join(one,one))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(join(one,complement(join(one,one))))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) )],[refute_0_1413,refute_0_1414]) ).
cnf(refute_0_1416,plain,
meet(one,complement(complement(converse(join(one,complement(join(one,one))))))) = meet(one,converse(join(one,complement(join(one,one))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(join(one,complement(join(one,one)))))),converse(join(one,complement(join(one,one))))) )],[refute_0_1412,refute_0_1415]) ).
cnf(refute_0_1417,plain,
( meet(one,complement(complement(converse(join(one,complement(join(one,one))))))) != meet(one,converse(join(one,complement(join(one,one)))))
| meet(one,converse(join(one,complement(join(one,one))))) != one
| meet(one,complement(complement(converse(join(one,complement(join(one,one))))))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(one,complement(complement(converse(join(one,complement(join(one,one))))))))),bind(Y,$fot(meet(one,converse(join(one,complement(join(one,one))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1418,plain,
( meet(one,converse(join(one,complement(join(one,one))))) != one
| meet(one,complement(complement(converse(join(one,complement(join(one,one))))))) = one ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(join(one,complement(join(one,one))))))),meet(one,converse(join(one,complement(join(one,one)))))) )],[refute_0_1416,refute_0_1417]) ).
cnf(refute_0_1419,plain,
meet(one,complement(complement(converse(join(one,complement(join(one,one))))))) = one,
inference(resolve,[$cnf( $equal(meet(one,converse(join(one,complement(join(one,one))))),one) )],[refute_0_1411,refute_0_1418]) ).
cnf(refute_0_1420,plain,
join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) = join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))),
introduced(tautology,[refl,[$fot(join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))))]]) ).
cnf(refute_0_1421,plain,
( join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) != join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one))))))))
| meet(one,complement(complement(converse(join(one,complement(join(one,one))))))) != one
| join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) = join(complement(converse(join(one,complement(join(one,one))))),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))),join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one))))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1422,plain,
( meet(one,complement(complement(converse(join(one,complement(join(one,one))))))) != one
| join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) = join(complement(converse(join(one,complement(join(one,one))))),one) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))),join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one))))))))) )],[refute_0_1420,refute_0_1421]) ).
cnf(refute_0_1423,plain,
join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) = join(complement(converse(join(one,complement(join(one,one))))),one),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(join(one,complement(join(one,one))))))),one) )],[refute_0_1419,refute_0_1422]) ).
cnf(refute_0_1424,plain,
( join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) != join(complement(converse(join(one,complement(join(one,one))))),one)
| join(complement(converse(join(one,complement(join(one,one))))),one) != join(one,complement(converse(join(one,complement(join(one,one))))))
| join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) = join(one,complement(converse(join(one,complement(join(one,one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))))),bind(Y,$fot(join(complement(converse(join(one,complement(join(one,one))))),one))),bind(Z,$fot(join(one,complement(converse(join(one,complement(join(one,one))))))))]]) ).
cnf(refute_0_1425,plain,
( join(complement(converse(join(one,complement(join(one,one))))),one) != join(one,complement(converse(join(one,complement(join(one,one))))))
| join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) = join(one,complement(converse(join(one,complement(join(one,one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))),join(complement(converse(join(one,complement(join(one,one))))),one)) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) = join(one,complement(converse(join(one,complement(join(one,one)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,complement(join(one,one))))),one),join(one,complement(converse(join(one,complement(join(one,one))))))) )],[refute_0_1402,refute_0_1425]) ).
cnf(refute_0_1427,plain,
( join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))) != join(one,complement(converse(join(one,complement(join(one,one))))))
| one != join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one))))))))
| one = join(one,complement(converse(join(one,complement(join(one,one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one))))))))) ),[1],$fot(join(one,complement(converse(join(one,complement(join(one,one)))))))]]) ).
cnf(refute_0_1428,plain,
( one != join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one))))))))
| one = join(one,complement(converse(join(one,complement(join(one,one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one)))))))),join(one,complement(converse(join(one,complement(join(one,one))))))) )],[refute_0_1426,refute_0_1427]) ).
cnf(refute_0_1429,plain,
one = join(one,complement(converse(join(one,complement(join(one,one)))))),
inference(resolve,[$cnf( $equal(one,join(complement(converse(join(one,complement(join(one,one))))),meet(one,complement(complement(converse(join(one,complement(join(one,one))))))))) )],[refute_0_1229,refute_0_1428]) ).
cnf(refute_0_1430,plain,
( one != join(one,complement(converse(join(one,complement(join(one,one))))))
| join(one,complement(converse(join(one,complement(join(one,one)))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(one,complement(converse(join(one,complement(join(one,one))))))))]]) ).
cnf(refute_0_1431,plain,
join(one,complement(converse(join(one,complement(join(one,one)))))) = one,
inference(resolve,[$cnf( $equal(one,join(one,complement(converse(join(one,complement(join(one,one))))))) )],[refute_0_1429,refute_0_1430]) ).
cnf(refute_0_1432,plain,
meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))) = complement(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1433,plain,
( complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) != join(one,one)
| meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))) != complement(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))
| meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))) = complement(join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))),complement(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))) ),[1,0],$fot(join(one,one))]]) ).
cnf(refute_0_1434,plain,
( meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))) != complement(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))
| meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))) = complement(join(one,one)) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),join(one,one)) )],[refute_0_1162,refute_0_1433]) ).
cnf(refute_0_1435,plain,
meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))) = complement(join(one,one)),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))),complement(complement(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))) )],[refute_0_1432,refute_0_1434]) ).
cnf(refute_0_1436,plain,
join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) = join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1437,plain,
( join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) != join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))
| meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))) != complement(join(one,one))
| join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) = join(one,complement(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))) ),[1,1],$fot(complement(join(one,one)))]]) ).
cnf(refute_0_1438,plain,
( meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))) != complement(join(one,one))
| join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) = join(one,complement(join(one,one))) ),
inference(resolve,[$cnf( $equal(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) = join(one,complement(join(one,one))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))),complement(join(one,one))) )],[refute_0_1435,refute_0_1438]) ).
cnf(refute_0_1440,plain,
converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))) = converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1441,plain,
( converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))) != converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))
| join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) != join(one,complement(join(one,one)))
| converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))) = converse(join(one,complement(join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))),converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))) ),[1,0],$fot(join(one,complement(join(one,one))))]]) ).
cnf(refute_0_1442,plain,
( join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))) != join(one,complement(join(one,one)))
| converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))) = converse(join(one,complement(join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))),converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))) )],[refute_0_1440,refute_0_1441]) ).
cnf(refute_0_1443,plain,
converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))) = converse(join(one,complement(join(one,one)))),
inference(resolve,[$cnf( $equal(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))),join(one,complement(join(one,one)))) )],[refute_0_1439,refute_0_1442]) ).
cnf(refute_0_1444,plain,
complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))) = complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_1445,plain,
( complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))) != complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))
| converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))) != converse(join(one,complement(join(one,one))))
| complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))) = complement(converse(join(one,complement(join(one,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))),complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))) ),[1,0],$fot(converse(join(one,complement(join(one,one)))))]]) ).
cnf(refute_0_1446,plain,
( converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))) != converse(join(one,complement(join(one,one))))
| complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))) = complement(converse(join(one,complement(join(one,one))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))),complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))) )],[refute_0_1444,refute_0_1445]) ).
cnf(refute_0_1447,plain,
complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))) = complement(converse(join(one,complement(join(one,one))))),
inference(resolve,[$cnf( $equal(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))),converse(join(one,complement(join(one,one))))) )],[refute_0_1443,refute_0_1446]) ).
cnf(refute_0_1448,plain,
join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))) = join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_1449,plain,
( complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))) != complement(converse(join(one,complement(join(one,one)))))
| join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))) != join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))
| join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))) = join(one,complement(converse(join(one,complement(join(one,one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))),join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))) ),[1,1],$fot(complement(converse(join(one,complement(join(one,one))))))]]) ).
cnf(refute_0_1450,plain,
( complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))) != complement(converse(join(one,complement(join(one,one)))))
| join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))) = join(one,complement(converse(join(one,complement(join(one,one)))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))),join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))) )],[refute_0_1448,refute_0_1449]) ).
cnf(refute_0_1451,plain,
join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))) = join(one,complement(converse(join(one,complement(join(one,one)))))),
inference(resolve,[$cnf( $equal(complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))),complement(converse(join(one,complement(join(one,one)))))) )],[refute_0_1447,refute_0_1450]) ).
cnf(refute_0_1452,plain,
( join(one,complement(converse(join(one,complement(join(one,one)))))) != one
| join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))) != join(one,complement(converse(join(one,complement(join(one,one))))))
| join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))),bind(Y,$fot(join(one,complement(converse(join(one,complement(join(one,one)))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1453,plain,
( join(one,complement(converse(join(one,complement(join(one,one)))))) != one
| join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))),join(one,complement(converse(join(one,complement(join(one,one))))))) )],[refute_0_1451,refute_0_1452]) ).
cnf(refute_0_1454,plain,
join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))) = one,
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(one,complement(join(one,one)))))),one) )],[refute_0_1431,refute_0_1453]) ).
cnf(refute_0_1455,plain,
converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))) = converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))]]) ).
cnf(refute_0_1456,plain,
( converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))) != converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))
| join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))) != one
| converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1457,plain,
( join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))) != one
| converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) )],[refute_0_1455,refute_0_1456]) ).
cnf(refute_0_1458,plain,
converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))),one) )],[refute_0_1454,refute_0_1457]) ).
cnf(refute_0_1459,plain,
( converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))) != converse(one)
| converse(one) != one
| converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1460,plain,
( converse(one) != one
| converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))),converse(one)) )],[refute_0_1458,refute_0_1459]) ).
cnf(refute_0_1461,plain,
converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_1460]) ).
cnf(refute_0_1462,plain,
meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) = meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))),
introduced(tautology,[refl,[$fot(meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))))]]) ).
cnf(refute_0_1463,plain,
( converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))) != one
| meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) != meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))
| meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) = meet(join(one,one),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))),meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1464,plain,
( converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))) != one
| meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) = meet(join(one,one),one) ),
inference(resolve,[$cnf( $equal(meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))),meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))) )],[refute_0_1462,refute_0_1463]) ).
cnf(refute_0_1465,plain,
meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) = meet(join(one,one),one),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))),one) )],[refute_0_1461,refute_0_1464]) ).
cnf(refute_0_1466,plain,
( meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) != meet(join(one,one),one)
| meet(join(one,one),one) != one
| meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))))),bind(Y,$fot(meet(join(one,one),one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1467,plain,
( meet(join(one,one),one) != one
| meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) = one ),
inference(resolve,[$cnf( $equal(meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))),meet(join(one,one),one)) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) = one,
inference(resolve,[$cnf( $equal(meet(join(one,one),one),one) )],[refute_0_1175,refute_0_1467]) ).
cnf(refute_0_1469,plain,
( join(one,one) != meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))
| meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))) != one
| join(one,one) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,one),one) ),[0],$fot(meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))))]]) ).
cnf(refute_0_1470,plain,
( join(one,one) != meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))
| join(one,one) = one ),
inference(resolve,[$cnf( $equal(meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one))))))))))),one) )],[refute_0_1468,refute_0_1469]) ).
cnf(refute_0_1471,plain,
join(one,one) = one,
inference(resolve,[$cnf( $equal(join(one,one),meet(join(one,one),converse(join(one,complement(converse(join(one,meet(join(sk1,complement(one)),complement(meet(join(one,one),join(sk1,complement(one)))))))))))) )],[refute_0_1168,refute_0_1470]) ).
cnf(refute_0_1472,plain,
meet(join(one,one),join(sk1,complement(one))) = meet(join(one,one),join(sk1,complement(one))),
introduced(tautology,[refl,[$fot(meet(join(one,one),join(sk1,complement(one))))]]) ).
cnf(refute_0_1473,plain,
( join(one,one) != one
| meet(join(one,one),join(sk1,complement(one))) != meet(join(one,one),join(sk1,complement(one)))
| meet(join(one,one),join(sk1,complement(one))) = meet(one,join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,one),join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1474,plain,
( join(one,one) != one
| meet(join(one,one),join(sk1,complement(one))) = meet(one,join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(join(one,one),join(sk1,complement(one))),meet(join(one,one),join(sk1,complement(one)))) )],[refute_0_1472,refute_0_1473]) ).
cnf(refute_0_1475,plain,
meet(join(one,one),join(sk1,complement(one))) = meet(one,join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1471,refute_0_1474]) ).
cnf(refute_0_1476,plain,
join(meet(join(one,one),join(sk1,complement(one))),C) = join(meet(join(one,one),join(sk1,complement(one))),C),
introduced(tautology,[refl,[$fot(join(meet(join(one,one),join(sk1,complement(one))),C))]]) ).
cnf(refute_0_1477,plain,
( join(meet(join(one,one),join(sk1,complement(one))),C) != join(meet(join(one,one),join(sk1,complement(one))),C)
| meet(join(one,one),join(sk1,complement(one))) != meet(one,join(sk1,complement(one)))
| join(meet(join(one,one),join(sk1,complement(one))),C) = join(meet(one,join(sk1,complement(one))),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(one,one),join(sk1,complement(one))),C),join(meet(join(one,one),join(sk1,complement(one))),C)) ),[1,0],$fot(meet(one,join(sk1,complement(one))))]]) ).
cnf(refute_0_1478,plain,
( meet(join(one,one),join(sk1,complement(one))) != meet(one,join(sk1,complement(one)))
| join(meet(join(one,one),join(sk1,complement(one))),C) = join(meet(one,join(sk1,complement(one))),C) ),
inference(resolve,[$cnf( $equal(join(meet(join(one,one),join(sk1,complement(one))),C),join(meet(join(one,one),join(sk1,complement(one))),C)) )],[refute_0_1476,refute_0_1477]) ).
cnf(refute_0_1479,plain,
join(meet(join(one,one),join(sk1,complement(one))),C) = join(meet(one,join(sk1,complement(one))),C),
inference(resolve,[$cnf( $equal(meet(join(one,one),join(sk1,complement(one))),meet(one,join(sk1,complement(one)))) )],[refute_0_1475,refute_0_1478]) ).
cnf(refute_0_1480,plain,
join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)),
introduced(tautology,[refl,[$fot(join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)))]]) ).
cnf(refute_0_1481,plain,
( join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) != join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C))
| join(meet(join(one,one),join(sk1,complement(one))),C) != join(meet(one,join(sk1,complement(one))),C)
| join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)),join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C))) ),[1,1],$fot(join(meet(one,join(sk1,complement(one))),C))]]) ).
cnf(refute_0_1482,plain,
( join(meet(join(one,one),join(sk1,complement(one))),C) != join(meet(one,join(sk1,complement(one))),C)
| join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)),join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C))) )],[refute_0_1480,refute_0_1481]) ).
cnf(refute_0_1483,plain,
join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)),
inference(resolve,[$cnf( $equal(join(meet(join(one,one),join(sk1,complement(one))),C),join(meet(one,join(sk1,complement(one))),C)) )],[refute_0_1479,refute_0_1482]) ).
cnf(refute_0_1484,plain,
( join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) != join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C))
| join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)) != join(one,C)
| join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(one,C) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)))),bind(Y,$fot(join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)))),bind(Z,$fot(join(one,C)))]]) ).
cnf(refute_0_1485,plain,
( join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)) != join(one,C)
| join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(one,C) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)),join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C))) )],[refute_0_1483,refute_0_1484]) ).
cnf(refute_0_1486,plain,
join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) = join(one,C),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),join(meet(one,join(sk1,complement(one))),C)),join(one,C)) )],[refute_0_1088,refute_0_1485]) ).
cnf(refute_0_1487,plain,
( join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) != join(one,C)
| join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) != join(one,join(one,C))
| join(one,C) = join(one,join(one,C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)),join(one,join(one,C))) ),[0],$fot(join(one,C))]]) ).
cnf(refute_0_1488,plain,
( join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)) != join(one,join(one,C))
| join(one,C) = join(one,join(one,C)) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)),join(one,C)) )],[refute_0_1486,refute_0_1487]) ).
cnf(refute_0_1489,plain,
join(one,C) = join(one,join(one,C)),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),join(meet(join(one,one),join(sk1,complement(one))),C)),join(one,join(one,C))) )],[refute_0_1057,refute_0_1488]) ).
cnf(refute_0_1490,plain,
( join(one,C) != join(one,join(one,C))
| join(one,join(one,C)) = join(one,C) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,C))),bind(Y,$fot(join(one,join(one,C))))]]) ).
cnf(refute_0_1491,plain,
join(one,join(one,C)) = join(one,C),
inference(resolve,[$cnf( $equal(join(one,C),join(one,join(one,C))) )],[refute_0_1489,refute_0_1490]) ).
cnf(refute_0_1492,plain,
( join(one,join(meet(one,complement(sk1)),C)) != join(one,join(one,C))
| join(one,join(one,C)) != join(one,C)
| join(one,join(meet(one,complement(sk1)),C)) = join(one,C) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(meet(one,complement(sk1)),C)),join(one,C)) ),[0],$fot(join(one,join(one,C)))]]) ).
cnf(refute_0_1493,plain,
( join(one,join(meet(one,complement(sk1)),C)) != join(one,join(one,C))
| join(one,join(meet(one,complement(sk1)),C)) = join(one,C) ),
inference(resolve,[$cnf( $equal(join(one,join(one,C)),join(one,C)) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
join(one,join(meet(one,complement(sk1)),C)) = join(one,C),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,complement(sk1)),C)),join(one,join(one,C))) )],[refute_0_991,refute_0_1493]) ).
cnf(refute_0_1495,plain,
join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) = join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))),
inference(subst,[],[refute_0_1494:[bind(C,$fot(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_1496,plain,
X_97 = join(meet(X_97,X_98),complement(join(complement(X_97),X_98))),
inference(subst,[],[refute_0_152:[bind(A,$fot(X_97)),bind(B,$fot(X_98))]]) ).
cnf(refute_0_1497,plain,
meet(X_98,X_97) = meet(X_97,X_98),
inference(subst,[],[refute_0_33:[bind(X_6,$fot(X_98)),bind(X_7,$fot(X_97))]]) ).
cnf(refute_0_1498,plain,
( meet(X_98,X_97) != meet(X_97,X_98)
| meet(X_97,X_98) = meet(X_98,X_97) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_98,X_97))),bind(Y,$fot(meet(X_97,X_98)))]]) ).
cnf(refute_0_1499,plain,
meet(X_97,X_98) = meet(X_98,X_97),
inference(resolve,[$cnf( $equal(meet(X_98,X_97),meet(X_97,X_98)) )],[refute_0_1497,refute_0_1498]) ).
cnf(refute_0_1500,plain,
( X_97 != join(meet(X_97,X_98),complement(join(complement(X_97),X_98)))
| meet(X_97,X_98) != meet(X_98,X_97)
| X_97 = join(meet(X_98,X_97),complement(join(complement(X_97),X_98))) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,X_98),complement(join(complement(X_97),X_98)))) ),[1,0],$fot(meet(X_98,X_97))]]) ).
cnf(refute_0_1501,plain,
( X_97 != join(meet(X_97,X_98),complement(join(complement(X_97),X_98)))
| X_97 = join(meet(X_98,X_97),complement(join(complement(X_97),X_98))) ),
inference(resolve,[$cnf( $equal(meet(X_97,X_98),meet(X_98,X_97)) )],[refute_0_1499,refute_0_1500]) ).
cnf(refute_0_1502,plain,
X_97 = join(meet(X_98,X_97),complement(join(complement(X_97),X_98))),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,X_98),complement(join(complement(X_97),X_98)))) )],[refute_0_1496,refute_0_1501]) ).
cnf(refute_0_1503,plain,
converse(join(one,X_12)) = join(meet(one,converse(join(one,X_12))),complement(join(complement(converse(join(one,X_12))),one))),
inference(subst,[],[refute_0_1502:[bind(X_97,$fot(converse(join(one,X_12)))),bind(X_98,$fot(one))]]) ).
cnf(refute_0_1504,plain,
( converse(join(one,X_12)) != join(meet(one,converse(join(one,X_12))),complement(join(complement(converse(join(one,X_12))),one)))
| meet(one,converse(join(one,X_12))) != one
| converse(join(one,X_12)) = join(one,complement(join(complement(converse(join(one,X_12))),one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,X_12)),join(meet(one,converse(join(one,X_12))),complement(join(complement(converse(join(one,X_12))),one)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1505,plain,
( converse(join(one,X_12)) != join(meet(one,converse(join(one,X_12))),complement(join(complement(converse(join(one,X_12))),one)))
| converse(join(one,X_12)) = join(one,complement(join(complement(converse(join(one,X_12))),one))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(join(one,X_12))),one) )],[refute_0_1410,refute_0_1504]) ).
cnf(refute_0_1506,plain,
converse(join(one,X_12)) = join(one,complement(join(complement(converse(join(one,X_12))),one))),
inference(resolve,[$cnf( $equal(converse(join(one,X_12)),join(meet(one,converse(join(one,X_12))),complement(join(complement(converse(join(one,X_12))),one)))) )],[refute_0_1503,refute_0_1505]) ).
cnf(refute_0_1507,plain,
join(complement(converse(join(one,X_12))),one) = join(one,complement(converse(join(one,X_12)))),
inference(subst,[],[refute_0_1401:[bind(A,$fot(complement(converse(join(one,X_12)))))]]) ).
cnf(refute_0_1508,plain,
complement(join(complement(converse(join(one,X_12))),one)) = complement(join(complement(converse(join(one,X_12))),one)),
introduced(tautology,[refl,[$fot(complement(join(complement(converse(join(one,X_12))),one)))]]) ).
cnf(refute_0_1509,plain,
( complement(join(complement(converse(join(one,X_12))),one)) != complement(join(complement(converse(join(one,X_12))),one))
| join(complement(converse(join(one,X_12))),one) != join(one,complement(converse(join(one,X_12))))
| complement(join(complement(converse(join(one,X_12))),one)) = complement(join(one,complement(converse(join(one,X_12))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(converse(join(one,X_12))),one)),complement(join(complement(converse(join(one,X_12))),one))) ),[1,0],$fot(join(one,complement(converse(join(one,X_12)))))]]) ).
cnf(refute_0_1510,plain,
( join(complement(converse(join(one,X_12))),one) != join(one,complement(converse(join(one,X_12))))
| complement(join(complement(converse(join(one,X_12))),one)) = complement(join(one,complement(converse(join(one,X_12))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(converse(join(one,X_12))),one)),complement(join(complement(converse(join(one,X_12))),one))) )],[refute_0_1508,refute_0_1509]) ).
cnf(refute_0_1511,plain,
complement(join(complement(converse(join(one,X_12))),one)) = complement(join(one,complement(converse(join(one,X_12))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,X_12))),one),join(one,complement(converse(join(one,X_12))))) )],[refute_0_1507,refute_0_1510]) ).
cnf(refute_0_1512,plain,
join(one,complement(join(complement(converse(join(one,X_12))),one))) = join(one,complement(join(complement(converse(join(one,X_12))),one))),
introduced(tautology,[refl,[$fot(join(one,complement(join(complement(converse(join(one,X_12))),one))))]]) ).
cnf(refute_0_1513,plain,
( complement(join(complement(converse(join(one,X_12))),one)) != complement(join(one,complement(converse(join(one,X_12)))))
| join(one,complement(join(complement(converse(join(one,X_12))),one))) != join(one,complement(join(complement(converse(join(one,X_12))),one)))
| join(one,complement(join(complement(converse(join(one,X_12))),one))) = join(one,complement(join(one,complement(converse(join(one,X_12)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(complement(converse(join(one,X_12))),one))),join(one,complement(join(complement(converse(join(one,X_12))),one)))) ),[1,1],$fot(complement(join(one,complement(converse(join(one,X_12))))))]]) ).
cnf(refute_0_1514,plain,
( complement(join(complement(converse(join(one,X_12))),one)) != complement(join(one,complement(converse(join(one,X_12)))))
| join(one,complement(join(complement(converse(join(one,X_12))),one))) = join(one,complement(join(one,complement(converse(join(one,X_12)))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(complement(converse(join(one,X_12))),one))),join(one,complement(join(complement(converse(join(one,X_12))),one)))) )],[refute_0_1512,refute_0_1513]) ).
cnf(refute_0_1515,plain,
join(one,complement(join(complement(converse(join(one,X_12))),one))) = join(one,complement(join(one,complement(converse(join(one,X_12)))))),
inference(resolve,[$cnf( $equal(complement(join(complement(converse(join(one,X_12))),one)),complement(join(one,complement(converse(join(one,X_12)))))) )],[refute_0_1511,refute_0_1514]) ).
cnf(refute_0_1516,plain,
( converse(join(one,X_12)) != join(one,complement(join(complement(converse(join(one,X_12))),one)))
| join(one,complement(join(complement(converse(join(one,X_12))),one))) != join(one,complement(join(one,complement(converse(join(one,X_12))))))
| converse(join(one,X_12)) = join(one,complement(join(one,complement(converse(join(one,X_12)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,X_12)),join(one,complement(join(one,complement(converse(join(one,X_12))))))) ),[0],$fot(join(one,complement(join(complement(converse(join(one,X_12))),one))))]]) ).
cnf(refute_0_1517,plain,
( converse(join(one,X_12)) != join(one,complement(join(complement(converse(join(one,X_12))),one)))
| converse(join(one,X_12)) = join(one,complement(join(one,complement(converse(join(one,X_12)))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(complement(converse(join(one,X_12))),one))),join(one,complement(join(one,complement(converse(join(one,X_12))))))) )],[refute_0_1515,refute_0_1516]) ).
cnf(refute_0_1518,plain,
converse(join(one,X_12)) = join(one,complement(join(one,complement(converse(join(one,X_12)))))),
inference(resolve,[$cnf( $equal(converse(join(one,X_12)),join(one,complement(join(complement(converse(join(one,X_12))),one)))) )],[refute_0_1506,refute_0_1517]) ).
cnf(refute_0_1519,plain,
meet(converse(join(one,X_12)),complement(one)) = meet(complement(one),converse(join(one,X_12))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(one))),bind(X_7,$fot(converse(join(one,X_12))))]]) ).
cnf(refute_0_1520,plain,
join(complement(X_6),complement(X_7)) = complement(meet(X_6,X_7)),
inference(subst,[],[refute_0_1144:[bind(A,$fot(X_6)),bind(B,$fot(X_7))]]) ).
cnf(refute_0_1521,plain,
meet(A,join(complement(X_6),complement(X_7))) = meet(A,join(complement(X_6),complement(X_7))),
introduced(tautology,[refl,[$fot(meet(A,join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_1522,plain,
( join(complement(X_6),complement(X_7)) != complement(meet(X_6,X_7))
| meet(A,join(complement(X_6),complement(X_7))) != meet(A,join(complement(X_6),complement(X_7)))
| meet(A,join(complement(X_6),complement(X_7))) = meet(A,complement(meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),meet(A,join(complement(X_6),complement(X_7)))) ),[1,1],$fot(complement(meet(X_6,X_7)))]]) ).
cnf(refute_0_1523,plain,
( join(complement(X_6),complement(X_7)) != complement(meet(X_6,X_7))
| meet(A,join(complement(X_6),complement(X_7))) = meet(A,complement(meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),meet(A,join(complement(X_6),complement(X_7)))) )],[refute_0_1521,refute_0_1522]) ).
cnf(refute_0_1524,plain,
meet(A,join(complement(X_6),complement(X_7))) = meet(A,complement(meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(join(complement(X_6),complement(X_7)),complement(meet(X_6,X_7))) )],[refute_0_1520,refute_0_1523]) ).
cnf(refute_0_1525,plain,
( meet(A,join(complement(X_6),complement(X_7))) != complement(join(complement(A),meet(X_6,X_7)))
| meet(A,join(complement(X_6),complement(X_7))) != meet(A,complement(meet(X_6,X_7)))
| meet(A,complement(meet(X_6,X_7))) = complement(join(complement(A),meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),complement(join(complement(A),meet(X_6,X_7)))) ),[0],$fot(meet(A,complement(meet(X_6,X_7))))]]) ).
cnf(refute_0_1526,plain,
( meet(A,join(complement(X_6),complement(X_7))) != complement(join(complement(A),meet(X_6,X_7)))
| meet(A,complement(meet(X_6,X_7))) = complement(join(complement(A),meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),meet(A,complement(meet(X_6,X_7)))) )],[refute_0_1524,refute_0_1525]) ).
cnf(refute_0_1527,plain,
meet(A,complement(meet(X_6,X_7))) = complement(join(complement(A),meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_6),complement(X_7))),complement(join(complement(A),meet(X_6,X_7)))) )],[refute_0_1110,refute_0_1526]) ).
cnf(refute_0_1528,plain,
meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) = complement(join(complement(X_279),meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))),
inference(subst,[],[refute_0_1527:[bind(A,$fot(X_279)),bind(X_6,$fot(one)),bind(X_7,$fot(complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))]]) ).
cnf(refute_0_1529,plain,
meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) = complement(complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))))]]) ).
cnf(refute_0_1530,plain,
join(X_98,complement(X_97)) = join(complement(X_97),X_98),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_98)),bind(B,$fot(complement(X_97)))]]) ).
cnf(refute_0_1531,plain,
( join(X_98,complement(X_97)) != join(complement(X_97),X_98)
| join(complement(X_97),X_98) = join(X_98,complement(X_97)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_98,complement(X_97)))),bind(Y,$fot(join(complement(X_97),X_98)))]]) ).
cnf(refute_0_1532,plain,
join(complement(X_97),X_98) = join(X_98,complement(X_97)),
inference(resolve,[$cnf( $equal(join(X_98,complement(X_97)),join(complement(X_97),X_98)) )],[refute_0_1530,refute_0_1531]) ).
cnf(refute_0_1533,plain,
( X_97 != join(meet(X_97,X_98),complement(join(complement(X_97),X_98)))
| join(complement(X_97),X_98) != join(X_98,complement(X_97))
| X_97 = join(meet(X_97,X_98),complement(join(X_98,complement(X_97)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,X_98),complement(join(complement(X_97),X_98)))) ),[1,1,0],$fot(join(X_98,complement(X_97)))]]) ).
cnf(refute_0_1534,plain,
( X_97 != join(meet(X_97,X_98),complement(join(complement(X_97),X_98)))
| X_97 = join(meet(X_97,X_98),complement(join(X_98,complement(X_97)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_97),X_98),join(X_98,complement(X_97))) )],[refute_0_1532,refute_0_1533]) ).
cnf(refute_0_1535,plain,
X_97 = join(meet(X_97,X_98),complement(join(X_98,complement(X_97)))),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,X_98),complement(join(complement(X_97),X_98)))) )],[refute_0_1496,refute_0_1534]) ).
cnf(refute_0_1536,plain,
complement(one) = join(meet(complement(one),complement(converse(complement(converse(complement(sk1)))))),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))),
inference(subst,[],[refute_0_1535:[bind(X_97,$fot(complement(one))),bind(X_98,$fot(complement(converse(complement(converse(complement(sk1)))))))]]) ).
cnf(refute_0_1537,plain,
X_97 = join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(join(complement(X_97),join(X_32,complement(join(complement(X_97),X_32)))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(X_97)),bind(B,$fot(join(X_32,complement(join(complement(X_97),X_32)))))]]) ).
cnf(refute_0_1538,plain,
top = join(complement(X_97),join(X_32,complement(join(complement(X_97),X_32)))),
inference(subst,[],[refute_0_297:[bind(X_31,$fot(complement(X_97)))]]) ).
cnf(refute_0_1539,plain,
( top != join(complement(X_97),join(X_32,complement(join(complement(X_97),X_32))))
| join(complement(X_97),join(X_32,complement(join(complement(X_97),X_32)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_97),join(X_32,complement(join(complement(X_97),X_32))))))]]) ).
cnf(refute_0_1540,plain,
join(complement(X_97),join(X_32,complement(join(complement(X_97),X_32)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_97),join(X_32,complement(join(complement(X_97),X_32))))) )],[refute_0_1538,refute_0_1539]) ).
cnf(refute_0_1541,plain,
( X_97 != join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(join(complement(X_97),join(X_32,complement(join(complement(X_97),X_32))))))
| join(complement(X_97),join(X_32,complement(join(complement(X_97),X_32)))) != top
| X_97 = join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(join(complement(X_97),join(X_32,complement(join(complement(X_97),X_32))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1542,plain,
( X_97 != join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(join(complement(X_97),join(X_32,complement(join(complement(X_97),X_32))))))
| X_97 = join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_97),join(X_32,complement(join(complement(X_97),X_32)))),top) )],[refute_0_1540,refute_0_1541]) ).
cnf(refute_0_1543,plain,
X_97 = join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top)),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(join(complement(X_97),join(X_32,complement(join(complement(X_97),X_32))))))) )],[refute_0_1537,refute_0_1542]) ).
cnf(refute_0_1544,plain,
join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) = join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))))]]) ).
cnf(refute_0_1545,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) != join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))
| join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) = join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))),join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1546,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) = join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))),join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))) )],[refute_0_1544,refute_0_1545]) ).
cnf(refute_0_1547,plain,
join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) = join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_1546]) ).
cnf(refute_0_1548,plain,
join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top)) = join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))))]]) ).
cnf(refute_0_1549,plain,
( join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) != join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))
| join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top)) != join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))
| join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top)) = join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))))),bind(Z,$fot(join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))))]]) ).
cnf(refute_0_1550,plain,
( join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) != join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))
| join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top)) = join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top)),join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))) )],[refute_0_1548,refute_0_1549]) ).
cnf(refute_0_1551,plain,
join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top)) = join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))),join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))) )],[refute_0_1547,refute_0_1550]) ).
cnf(refute_0_1552,plain,
( X_97 != join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top))
| join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top)) != join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))
| X_97 = join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))) ),[0],$fot(join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top)))]]) ).
cnf(refute_0_1553,plain,
( X_97 != join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top))
| X_97 = join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top)),join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))) )],[refute_0_1551,refute_0_1552]) ).
cnf(refute_0_1554,plain,
X_97 = join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),complement(top))) )],[refute_0_1543,refute_0_1553]) ).
cnf(refute_0_1555,plain,
join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) = meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))))]]) ).
cnf(refute_0_1556,plain,
( X_97 != join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))
| join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) != meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))
| X_97 = meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) ),[0],$fot(join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))))]]) ).
cnf(refute_0_1557,plain,
( X_97 != join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))
| X_97 = meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))),meet(X_97,join(X_32,complement(join(complement(X_97),X_32))))) )],[refute_0_1555,refute_0_1556]) ).
cnf(refute_0_1558,plain,
X_97 = meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))),
inference(resolve,[$cnf( $equal(X_97,join(zero,meet(X_97,join(X_32,complement(join(complement(X_97),X_32)))))) )],[refute_0_1554,refute_0_1557]) ).
cnf(refute_0_1559,plain,
complement(X_97) = meet(complement(X_97),join(X_135,complement(join(complement(complement(X_97)),X_135)))),
inference(subst,[],[refute_0_1558:[bind(X_32,$fot(X_135)),bind(X_97,$fot(complement(X_97)))]]) ).
cnf(refute_0_1560,plain,
( complement(X_97) != meet(complement(X_97),join(X_135,complement(join(complement(complement(X_97)),X_135))))
| complement(complement(X_97)) != X_97
| complement(X_97) = meet(complement(X_97),join(X_135,complement(join(X_97,X_135)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_97),meet(complement(X_97),join(X_135,complement(join(complement(complement(X_97)),X_135))))) ),[1,1,1,0,0],$fot(X_97)]]) ).
cnf(refute_0_1561,plain,
( complement(X_97) != meet(complement(X_97),join(X_135,complement(join(complement(complement(X_97)),X_135))))
| complement(X_97) = meet(complement(X_97),join(X_135,complement(join(X_97,X_135)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_1560]) ).
cnf(refute_0_1562,plain,
complement(X_97) = meet(complement(X_97),join(X_135,complement(join(X_97,X_135)))),
inference(resolve,[$cnf( $equal(complement(X_97),meet(complement(X_97),join(X_135,complement(join(complement(complement(X_97)),X_135))))) )],[refute_0_1559,refute_0_1561]) ).
cnf(refute_0_1563,plain,
complement(one) = meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(join(one,complement(converse(complement(converse(complement(sk1))))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(complement(converse(complement(converse(complement(sk1))))))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_1564,plain,
join(one,complement(converse(complement(converse(complement(sk1)))))) = join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))),
inference(subst,[],[refute_0_1535:[bind(X_97,$fot(join(one,complement(converse(complement(converse(complement(sk1)))))))),bind(X_98,$fot(one))]]) ).
cnf(refute_0_1565,plain,
join(one,join(join(X_35,sk1),C)) = join(join(one,join(X_35,sk1)),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(one)),bind(B,$fot(join(X_35,sk1)))]]) ).
cnf(refute_0_1566,plain,
join(one,join(X_35,sk1)) = join(one,X_35),
inference(subst,[],[refute_0_727:[bind(X_34,$fot(X_35))]]) ).
cnf(refute_0_1567,plain,
( join(one,join(X_35,sk1)) != join(one,X_35)
| join(one,join(join(X_35,sk1),C)) != join(join(one,join(X_35,sk1)),C)
| join(one,join(join(X_35,sk1),C)) = join(join(one,X_35),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_35,sk1),C)),join(join(one,join(X_35,sk1)),C)) ),[1,0],$fot(join(one,X_35))]]) ).
cnf(refute_0_1568,plain,
( join(one,join(join(X_35,sk1),C)) != join(join(one,join(X_35,sk1)),C)
| join(one,join(join(X_35,sk1),C)) = join(join(one,X_35),C) ),
inference(resolve,[$cnf( $equal(join(one,join(X_35,sk1)),join(one,X_35)) )],[refute_0_1566,refute_0_1567]) ).
cnf(refute_0_1569,plain,
join(one,join(join(X_35,sk1),C)) = join(join(one,X_35),C),
inference(resolve,[$cnf( $equal(join(one,join(join(X_35,sk1),C)),join(join(one,join(X_35,sk1)),C)) )],[refute_0_1565,refute_0_1568]) ).
cnf(refute_0_1570,plain,
join(join(X_35,sk1),C) = join(X_35,join(sk1,C)),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_35)),bind(B,$fot(sk1))]]) ).
cnf(refute_0_1571,plain,
join(one,join(join(X_35,sk1),C)) = join(one,join(join(X_35,sk1),C)),
introduced(tautology,[refl,[$fot(join(one,join(join(X_35,sk1),C)))]]) ).
cnf(refute_0_1572,plain,
( join(join(X_35,sk1),C) != join(X_35,join(sk1,C))
| join(one,join(join(X_35,sk1),C)) != join(one,join(join(X_35,sk1),C))
| join(one,join(join(X_35,sk1),C)) = join(one,join(X_35,join(sk1,C))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_35,sk1),C)),join(one,join(join(X_35,sk1),C))) ),[1,1],$fot(join(X_35,join(sk1,C)))]]) ).
cnf(refute_0_1573,plain,
( join(join(X_35,sk1),C) != join(X_35,join(sk1,C))
| join(one,join(join(X_35,sk1),C)) = join(one,join(X_35,join(sk1,C))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_35,sk1),C)),join(one,join(join(X_35,sk1),C))) )],[refute_0_1571,refute_0_1572]) ).
cnf(refute_0_1574,plain,
join(one,join(join(X_35,sk1),C)) = join(one,join(X_35,join(sk1,C))),
inference(resolve,[$cnf( $equal(join(join(X_35,sk1),C),join(X_35,join(sk1,C))) )],[refute_0_1570,refute_0_1573]) ).
cnf(refute_0_1575,plain,
( join(one,join(join(X_35,sk1),C)) != join(join(one,X_35),C)
| join(one,join(join(X_35,sk1),C)) != join(one,join(X_35,join(sk1,C)))
| join(one,join(X_35,join(sk1,C))) = join(join(one,X_35),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_35,sk1),C)),join(join(one,X_35),C)) ),[0],$fot(join(one,join(X_35,join(sk1,C))))]]) ).
cnf(refute_0_1576,plain,
( join(one,join(join(X_35,sk1),C)) != join(join(one,X_35),C)
| join(one,join(X_35,join(sk1,C))) = join(join(one,X_35),C) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_35,sk1),C)),join(one,join(X_35,join(sk1,C)))) )],[refute_0_1574,refute_0_1575]) ).
cnf(refute_0_1577,plain,
join(join(one,X_35),C) = join(one,join(X_35,C)),
inference(subst,[],[refute_0_169:[bind(A,$fot(one)),bind(B,$fot(X_35))]]) ).
cnf(refute_0_1578,plain,
( join(join(one,X_35),C) != join(one,join(X_35,C))
| join(one,join(X_35,join(sk1,C))) != join(join(one,X_35),C)
| join(one,join(X_35,join(sk1,C))) = join(one,join(X_35,C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_35,join(sk1,C))),join(join(one,X_35),C)) ),[1],$fot(join(one,join(X_35,C)))]]) ).
cnf(refute_0_1579,plain,
( join(one,join(X_35,join(sk1,C))) != join(join(one,X_35),C)
| join(one,join(X_35,join(sk1,C))) = join(one,join(X_35,C)) ),
inference(resolve,[$cnf( $equal(join(join(one,X_35),C),join(one,join(X_35,C))) )],[refute_0_1577,refute_0_1578]) ).
cnf(refute_0_1580,plain,
( join(one,join(join(X_35,sk1),C)) != join(join(one,X_35),C)
| join(one,join(X_35,join(sk1,C))) = join(one,join(X_35,C)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_35,join(sk1,C))),join(join(one,X_35),C)) )],[refute_0_1576,refute_0_1579]) ).
cnf(refute_0_1581,plain,
join(one,join(X_35,join(sk1,C))) = join(one,join(X_35,C)),
inference(resolve,[$cnf( $equal(join(one,join(join(X_35,sk1),C)),join(join(one,X_35),C)) )],[refute_0_1569,refute_0_1580]) ).
cnf(refute_0_1582,plain,
join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) = join(one,join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1))))))))),
inference(subst,[],[refute_0_1581:[bind(C,$fot(complement(join(one,complement(converse(complement(converse(complement(sk1))))))))),bind(X_35,$fot(converse(complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_1583,plain,
converse(complement(converse(complement(sk1)))) = join(meet(one,converse(complement(converse(complement(sk1))))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))),
inference(subst,[],[refute_0_1502:[bind(X_97,$fot(converse(complement(converse(complement(sk1)))))),bind(X_98,$fot(one))]]) ).
cnf(refute_0_1584,plain,
converse(complement(converse(complement(sk1)))) = meet(converse(complement(converse(complement(sk1)))),join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1)))))),
inference(subst,[],[refute_0_1000:[bind(X_118,$fot(meet(one,complement(sk1)))),bind(X_119,$fot(converse(complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_1585,plain,
converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = converse(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(converse(complement(join(sk1,complement(one)))))),bind(X_12,$fot(complement(converse(complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1586,plain,
one = join(meet(one,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(one)),bind(B,$fot(converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_1587,plain,
complement(complement(converse(complement(join(sk1,complement(one)))))) = meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(converse(join(one,complement(converse(complement(join(sk1,complement(one))))))))))),
inference(subst,[],[refute_0_1092:[bind(X_97,$fot(complement(converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1588,plain,
join(sk1,join(complement(join(sk1,complement(one))),C)) = join(join(sk1,complement(join(sk1,complement(one)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(sk1)),bind(B,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1589,plain,
( join(sk1,complement(join(sk1,complement(one)))) != one
| join(sk1,join(complement(join(sk1,complement(one))),C)) != join(join(sk1,complement(join(sk1,complement(one)))),C)
| join(sk1,join(complement(join(sk1,complement(one))),C)) = join(one,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(join(sk1,complement(one))),C)),join(join(sk1,complement(join(sk1,complement(one)))),C)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1590,plain,
( join(sk1,join(complement(join(sk1,complement(one))),C)) != join(join(sk1,complement(join(sk1,complement(one)))),C)
| join(sk1,join(complement(join(sk1,complement(one))),C)) = join(one,C) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(sk1,complement(one)))),one) )],[refute_0_1020,refute_0_1589]) ).
cnf(refute_0_1591,plain,
join(sk1,join(complement(join(sk1,complement(one))),C)) = join(one,C),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(join(sk1,complement(one))),C)),join(join(sk1,complement(join(sk1,complement(one)))),C)) )],[refute_0_1588,refute_0_1590]) ).
cnf(refute_0_1592,plain,
join(sk1,join(complement(join(sk1,complement(one))),converse(complement(converse(complement(join(sk1,complement(one)))))))) = join(one,converse(complement(converse(complement(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_1591:[bind(C,$fot(converse(complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1593,plain,
top = join(complement(join(sk1,complement(one))),converse(complement(converse(complement(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_1235:[bind(X_15,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1594,plain,
( top != join(complement(join(sk1,complement(one))),converse(complement(converse(complement(join(sk1,complement(one)))))))
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(join(sk1,complement(one))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_1595,plain,
join(complement(join(sk1,complement(one))),converse(complement(converse(complement(join(sk1,complement(one))))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(join(sk1,complement(one))),converse(complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_1593,refute_0_1594]) ).
cnf(refute_0_1596,plain,
( join(complement(join(sk1,complement(one))),converse(complement(converse(complement(join(sk1,complement(one))))))) != top
| join(sk1,join(complement(join(sk1,complement(one))),converse(complement(converse(complement(join(sk1,complement(one)))))))) != join(one,converse(complement(converse(complement(join(sk1,complement(one)))))))
| join(sk1,top) = join(one,converse(complement(converse(complement(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(join(sk1,complement(one))),converse(complement(converse(complement(join(sk1,complement(one)))))))),join(one,converse(complement(converse(complement(join(sk1,complement(one)))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_1597,plain,
( join(sk1,join(complement(join(sk1,complement(one))),converse(complement(converse(complement(join(sk1,complement(one)))))))) != join(one,converse(complement(converse(complement(join(sk1,complement(one)))))))
| join(sk1,top) = join(one,converse(complement(converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(join(sk1,complement(one))))))),top) )],[refute_0_1595,refute_0_1596]) ).
cnf(refute_0_1598,plain,
join(sk1,top) = join(one,converse(complement(converse(complement(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(join(sk1,complement(one))),converse(complement(converse(complement(join(sk1,complement(one)))))))),join(one,converse(complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_1592,refute_0_1597]) ).
cnf(refute_0_1599,plain,
( join(sk1,top) != join(one,converse(complement(converse(complement(join(sk1,complement(one)))))))
| join(sk1,top) != top
| top = join(one,converse(complement(converse(complement(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,top),join(one,converse(complement(converse(complement(join(sk1,complement(one)))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1600,plain,
( join(sk1,top) != join(one,converse(complement(converse(complement(join(sk1,complement(one)))))))
| top = join(one,converse(complement(converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,top),top) )],[refute_0_790,refute_0_1599]) ).
cnf(refute_0_1601,plain,
join(one,converse(complement(converse(complement(join(sk1,complement(one))))))) = converse(join(one,complement(converse(complement(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(complement(converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1602,plain,
( join(one,converse(complement(converse(complement(join(sk1,complement(one))))))) != converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))
| top != join(one,converse(complement(converse(complement(join(sk1,complement(one)))))))
| top = converse(join(one,complement(converse(complement(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,converse(complement(converse(complement(join(sk1,complement(one)))))))) ),[1],$fot(converse(join(one,complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1603,plain,
( top != join(one,converse(complement(converse(complement(join(sk1,complement(one)))))))
| top = converse(join(one,complement(converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_1601,refute_0_1602]) ).
cnf(refute_0_1604,plain,
( join(sk1,top) != join(one,converse(complement(converse(complement(join(sk1,complement(one)))))))
| top = converse(join(one,complement(converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(top,join(one,converse(complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_1600,refute_0_1603]) ).
cnf(refute_0_1605,plain,
top = converse(join(one,complement(converse(complement(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(sk1,top),join(one,converse(complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_1598,refute_0_1604]) ).
cnf(refute_0_1606,plain,
( top != converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))
| converse(join(one,complement(converse(complement(join(sk1,complement(one))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_1607,plain,
converse(join(one,complement(converse(complement(join(sk1,complement(one))))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_1605,refute_0_1606]) ).
cnf(refute_0_1608,plain,
( complement(complement(converse(complement(join(sk1,complement(one)))))) != meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))))))
| converse(join(one,complement(converse(complement(join(sk1,complement(one))))))) != top
| complement(complement(converse(complement(join(sk1,complement(one)))))) = meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(complement(join(sk1,complement(one)))))),meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_1609,plain,
( complement(complement(converse(complement(join(sk1,complement(one)))))) != meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))))))
| complement(complement(converse(complement(join(sk1,complement(one)))))) = meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(complement(join(sk1,complement(one))))))),top) )],[refute_0_1607,refute_0_1608]) ).
cnf(refute_0_1610,plain,
complement(complement(converse(complement(join(sk1,complement(one)))))) = meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(join(sk1,complement(one)))))),meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))))))) )],[refute_0_1587,refute_0_1609]) ).
cnf(refute_0_1611,plain,
complement(complement(converse(complement(join(sk1,complement(one)))))) = converse(complement(join(sk1,complement(one)))),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_1612,plain,
( complement(complement(converse(complement(join(sk1,complement(one)))))) != converse(complement(join(sk1,complement(one))))
| complement(complement(converse(complement(join(sk1,complement(one)))))) != meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top))))
| converse(complement(join(sk1,complement(one)))) = meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(complement(join(sk1,complement(one)))))),meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top))))) ),[0],$fot(converse(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1613,plain,
( complement(complement(converse(complement(join(sk1,complement(one)))))) != meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top))))
| converse(complement(join(sk1,complement(one)))) = meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one))))) )],[refute_0_1611,refute_0_1612]) ).
cnf(refute_0_1614,plain,
meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))) = meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1615,plain,
( complement(complement(converse(complement(join(sk1,complement(one)))))) != converse(complement(join(sk1,complement(one))))
| meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))) != meet(one,complement(complement(converse(complement(join(sk1,complement(one)))))))
| meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))) = meet(one,converse(complement(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))),meet(one,complement(complement(converse(complement(join(sk1,complement(one)))))))) ),[1,1],$fot(converse(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1616,plain,
( complement(complement(converse(complement(join(sk1,complement(one)))))) != converse(complement(join(sk1,complement(one))))
| meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))) = meet(one,converse(complement(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))),meet(one,complement(complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))) = meet(one,converse(complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one))))) )],[refute_0_1611,refute_0_1616]) ).
cnf(refute_0_1618,plain,
join(one,complement(top)) = join(one,complement(top)),
introduced(tautology,[refl,[$fot(join(one,complement(top)))]]) ).
cnf(refute_0_1619,plain,
( complement(top) != zero
| join(one,complement(top)) != join(one,complement(top))
| join(one,complement(top)) = join(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(top)),join(one,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1620,plain,
( complement(top) != zero
| join(one,complement(top)) = join(one,zero) ),
inference(resolve,[$cnf( $equal(join(one,complement(top)),join(one,complement(top))) )],[refute_0_1618,refute_0_1619]) ).
cnf(refute_0_1621,plain,
join(one,complement(top)) = join(one,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_1620]) ).
cnf(refute_0_1622,plain,
( join(one,complement(top)) != join(one,zero)
| join(one,zero) != one
| join(one,complement(top)) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,complement(top)))),bind(Y,$fot(join(one,zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1623,plain,
( join(one,zero) != one
| join(one,complement(top)) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(top)),join(one,zero)) )],[refute_0_1621,refute_0_1622]) ).
cnf(refute_0_1624,plain,
join(one,complement(top)) = one,
inference(resolve,[$cnf( $equal(join(one,zero),one) )],[refute_0_941,refute_0_1623]) ).
cnf(refute_0_1625,plain,
converse(join(one,complement(top))) = converse(join(one,complement(top))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(top))))]]) ).
cnf(refute_0_1626,plain,
( converse(join(one,complement(top))) != converse(join(one,complement(top)))
| join(one,complement(top)) != one
| converse(join(one,complement(top))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(top))),converse(join(one,complement(top)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1627,plain,
( join(one,complement(top)) != one
| converse(join(one,complement(top))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(top))),converse(join(one,complement(top)))) )],[refute_0_1625,refute_0_1626]) ).
cnf(refute_0_1628,plain,
converse(join(one,complement(top))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,complement(top)),one) )],[refute_0_1624,refute_0_1627]) ).
cnf(refute_0_1629,plain,
( converse(join(one,complement(top))) != converse(one)
| converse(one) != one
| converse(join(one,complement(top))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,complement(top))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1630,plain,
( converse(one) != one
| converse(join(one,complement(top))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(top))),converse(one)) )],[refute_0_1628,refute_0_1629]) ).
cnf(refute_0_1631,plain,
converse(join(one,complement(top))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_1630]) ).
cnf(refute_0_1632,plain,
meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))) = meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1633,plain,
( converse(join(one,complement(top))) != one
| meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))) != meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one)))))))
| meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))) = meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))),meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1634,plain,
( converse(join(one,complement(top))) != one
| meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))) = meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))),meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_1632,refute_0_1633]) ).
cnf(refute_0_1635,plain,
meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))) = meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(top))),one) )],[refute_0_1631,refute_0_1634]) ).
cnf(refute_0_1636,plain,
( meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))) != meet(one,complement(complement(converse(complement(join(sk1,complement(one)))))))
| meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))) != meet(one,converse(complement(join(sk1,complement(one)))))
| meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))) = meet(one,converse(complement(join(sk1,complement(one))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))))),bind(Y,$fot(meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))))),bind(Z,$fot(meet(one,converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1637,plain,
( meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))) != meet(one,converse(complement(join(sk1,complement(one)))))
| meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))) = meet(one,converse(complement(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))),meet(one,complement(complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_1635,refute_0_1636]) ).
cnf(refute_0_1638,plain,
meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))) = meet(one,converse(complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(complement(join(sk1,complement(one))))))),meet(one,converse(complement(join(sk1,complement(one)))))) )],[refute_0_1617,refute_0_1637]) ).
cnf(refute_0_1639,plain,
meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))) = meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(join(one,complement(top))))),bind(X_7,$fot(complement(complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1640,plain,
( meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))) != meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one)))))))
| meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))) != meet(one,converse(complement(join(sk1,complement(one)))))
| meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))) = meet(one,converse(complement(join(sk1,complement(one))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))))),bind(Y,$fot(meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))))),bind(Z,$fot(meet(one,converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1641,plain,
( meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))) != meet(one,converse(complement(join(sk1,complement(one)))))
| meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))) = meet(one,converse(complement(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))),meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_1639,refute_0_1640]) ).
cnf(refute_0_1642,plain,
meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))) = meet(one,converse(complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(top))),complement(complement(converse(complement(join(sk1,complement(one))))))),meet(one,converse(complement(join(sk1,complement(one)))))) )],[refute_0_1638,refute_0_1641]) ).
cnf(refute_0_1643,plain,
( converse(complement(join(sk1,complement(one)))) != meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top))))
| meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))) != meet(one,converse(complement(join(sk1,complement(one)))))
| converse(complement(join(sk1,complement(one)))) = meet(one,converse(complement(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(join(sk1,complement(one)))),meet(one,converse(complement(join(sk1,complement(one)))))) ),[0],$fot(meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))))]]) ).
cnf(refute_0_1644,plain,
( converse(complement(join(sk1,complement(one)))) != meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top))))
| converse(complement(join(sk1,complement(one)))) = meet(one,converse(complement(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top)))),meet(one,converse(complement(join(sk1,complement(one)))))) )],[refute_0_1642,refute_0_1643]) ).
cnf(refute_0_1645,plain,
( complement(complement(converse(complement(join(sk1,complement(one)))))) != meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top))))
| converse(complement(join(sk1,complement(one)))) = meet(one,converse(complement(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(converse(complement(join(sk1,complement(one)))),meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top))))) )],[refute_0_1613,refute_0_1644]) ).
cnf(refute_0_1646,plain,
converse(complement(join(sk1,complement(one)))) = meet(one,converse(complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(join(sk1,complement(one)))))),meet(complement(complement(converse(complement(join(sk1,complement(one)))))),converse(join(one,complement(top))))) )],[refute_0_1610,refute_0_1645]) ).
cnf(refute_0_1647,plain,
( converse(complement(join(sk1,complement(one)))) != meet(one,converse(complement(join(sk1,complement(one)))))
| meet(one,converse(complement(join(sk1,complement(one))))) = converse(complement(join(sk1,complement(one)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(join(sk1,complement(one)))))),bind(Y,$fot(meet(one,converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1648,plain,
meet(one,converse(complement(join(sk1,complement(one))))) = converse(complement(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(join(sk1,complement(one)))),meet(one,converse(complement(join(sk1,complement(one)))))) )],[refute_0_1646,refute_0_1647]) ).
cnf(refute_0_1649,plain,
( meet(one,converse(complement(join(sk1,complement(one))))) != converse(complement(join(sk1,complement(one))))
| one != join(meet(one,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(sk1,complement(one)))))))
| one = join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(sk1,complement(one)))))))) ),[1,0],$fot(converse(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1650,plain,
( one != join(meet(one,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(sk1,complement(one)))))))
| one = join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(join(sk1,complement(one))))),converse(complement(join(sk1,complement(one))))) )],[refute_0_1648,refute_0_1649]) ).
cnf(refute_0_1651,plain,
one = join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(sk1,complement(one)))))))) )],[refute_0_1586,refute_0_1650]) ).
cnf(refute_0_1652,plain,
join(complement(one),complement(join(sk1,complement(one)))) = complement(meet(one,join(sk1,complement(one)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_1653,plain,
converse(join(complement(one),complement(join(sk1,complement(one))))) = converse(join(complement(one),complement(join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_1654,plain,
( converse(join(complement(one),complement(join(sk1,complement(one))))) != converse(join(complement(one),complement(join(sk1,complement(one)))))
| join(complement(one),complement(join(sk1,complement(one)))) != complement(meet(one,join(sk1,complement(one))))
| converse(join(complement(one),complement(join(sk1,complement(one))))) = converse(complement(meet(one,join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(join(sk1,complement(one))))),converse(join(complement(one),complement(join(sk1,complement(one)))))) ),[1,0],$fot(complement(meet(one,join(sk1,complement(one)))))]]) ).
cnf(refute_0_1655,plain,
( join(complement(one),complement(join(sk1,complement(one)))) != complement(meet(one,join(sk1,complement(one))))
| converse(join(complement(one),complement(join(sk1,complement(one))))) = converse(complement(meet(one,join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(join(sk1,complement(one))))),converse(join(complement(one),complement(join(sk1,complement(one)))))) )],[refute_0_1653,refute_0_1654]) ).
cnf(refute_0_1656,plain,
converse(join(complement(one),complement(join(sk1,complement(one))))) = converse(complement(meet(one,join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(sk1,complement(one)))),complement(meet(one,join(sk1,complement(one))))) )],[refute_0_1652,refute_0_1655]) ).
cnf(refute_0_1657,plain,
converse(join(converse(complement(one)),X_12)) = join(complement(one),converse(X_12)),
inference(subst,[],[refute_0_705:[bind(A,$fot(complement(one)))]]) ).
cnf(refute_0_1658,plain,
converse(complement(one)) = meet(converse(complement(one)),join(complement(one),converse(complement(one)))),
inference(subst,[],[refute_0_1000:[bind(X_118,$fot(complement(one))),bind(X_119,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1659,plain,
join(complement(one),composition(converse(X_60),complement(composition(X_60,one)))) = complement(one),
inference(subst,[],[refute_0_47:[bind(A,$fot(X_60)),bind(B,$fot(one))]]) ).
cnf(refute_0_1660,plain,
composition(X_60,one) = X_60,
inference(subst,[],[composition_identity_6:[bind(A,$fot(X_60))]]) ).
cnf(refute_0_1661,plain,
( composition(X_60,one) != X_60
| join(complement(one),composition(converse(X_60),complement(composition(X_60,one)))) != complement(one)
| join(complement(one),composition(converse(X_60),complement(X_60))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_60),complement(composition(X_60,one)))),complement(one)) ),[0,1,1,0],$fot(X_60)]]) ).
cnf(refute_0_1662,plain,
( join(complement(one),composition(converse(X_60),complement(composition(X_60,one)))) != complement(one)
| join(complement(one),composition(converse(X_60),complement(X_60))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(X_60,one),X_60) )],[refute_0_1660,refute_0_1661]) ).
cnf(refute_0_1663,plain,
join(complement(one),composition(converse(X_60),complement(X_60))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_60),complement(composition(X_60,one)))),complement(one)) )],[refute_0_1659,refute_0_1662]) ).
cnf(refute_0_1664,plain,
join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))) = complement(one),
inference(subst,[],[refute_0_1663:[bind(X_60,$fot(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1665,plain,
one = join(meet(one,complement(join(sk1,complement(one)))),complement(join(complement(one),complement(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(one)),bind(B,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1666,plain,
( meet(one,complement(join(sk1,complement(one)))) != complement(join(sk1,complement(one)))
| one != join(meet(one,complement(join(sk1,complement(one)))),complement(join(complement(one),complement(join(sk1,complement(one))))))
| one = join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(join(sk1,complement(one)))),complement(join(complement(one),complement(join(sk1,complement(one))))))) ),[1,0],$fot(complement(join(sk1,complement(one))))]]) ).
cnf(refute_0_1667,plain,
( one != join(meet(one,complement(join(sk1,complement(one)))),complement(join(complement(one),complement(join(sk1,complement(one))))))
| one = join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(sk1,complement(one)))),complement(join(sk1,complement(one)))) )],[refute_0_1069,refute_0_1666]) ).
cnf(refute_0_1668,plain,
one = join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(join(sk1,complement(one)))),complement(join(complement(one),complement(join(sk1,complement(one))))))) )],[refute_0_1665,refute_0_1667]) ).
cnf(refute_0_1669,plain,
meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))) = meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_1670,plain,
( join(complement(one),complement(join(sk1,complement(one)))) != complement(meet(one,join(sk1,complement(one))))
| meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))) != meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))
| meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))) = meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))),meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))) ),[1,1],$fot(complement(meet(one,join(sk1,complement(one)))))]]) ).
cnf(refute_0_1671,plain,
( join(complement(one),complement(join(sk1,complement(one)))) != complement(meet(one,join(sk1,complement(one))))
| meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))) = meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))),meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))) )],[refute_0_1669,refute_0_1670]) ).
cnf(refute_0_1672,plain,
meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))) = meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(sk1,complement(one)))),complement(meet(one,join(sk1,complement(one))))) )],[refute_0_1652,refute_0_1671]) ).
cnf(refute_0_1673,plain,
complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1674,plain,
( complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))) != complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))))
| meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))) != meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))
| complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))))) ),[1,0],$fot(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_1675,plain,
( meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))) != meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))
| complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))))) )],[refute_0_1673,refute_0_1674]) ).
cnf(refute_0_1676,plain,
complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) )],[refute_0_1672,refute_0_1675]) ).
cnf(refute_0_1677,plain,
join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(join(sk1,complement(one)))),bind(B,$fot(join(complement(one),complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_1678,plain,
( complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))) != complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))
| join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one)))))) != complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))))
| join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one)))))))),bind(Y,$fot(complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))))),bind(Z,$fot(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1679,plain,
( complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))) != complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))
| join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one))))))) )],[refute_0_1677,refute_0_1678]) ).
cnf(refute_0_1680,plain,
join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one)))))) = complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),join(complement(one),complement(join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_1676,refute_0_1679]) ).
cnf(refute_0_1681,plain,
( join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one)))))) != complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))
| one != join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one))))))
| one = complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one))))))) ),[1],$fot(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1682,plain,
( one != join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one))))))
| one = complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_1680,refute_0_1681]) ).
cnf(refute_0_1683,plain,
one = complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(one,join(complement(join(sk1,complement(one))),complement(join(complement(one),complement(join(sk1,complement(one))))))) )],[refute_0_1668,refute_0_1682]) ).
cnf(refute_0_1684,plain,
( one != complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))
| complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1685,plain,
complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = one,
inference(resolve,[$cnf( $equal(one,complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_1683,refute_0_1684]) ).
cnf(refute_0_1686,plain,
( complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != one
| join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))) != complement(one)
| join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))),complement(one)) ),[0,1,1],$fot(one)]]) ).
cnf(refute_0_1687,plain,
( join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))) != complement(one)
| join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one) )],[refute_0_1685,refute_0_1686]) ).
cnf(refute_0_1688,plain,
join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))),complement(one)) )],[refute_0_1664,refute_0_1687]) ).
cnf(refute_0_1689,plain,
meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) = complement(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1690,plain,
( complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != one
| meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) != complement(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))
| meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),complement(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1691,plain,
( meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) != complement(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))
| meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one) )],[refute_0_1685,refute_0_1690]) ).
cnf(refute_0_1692,plain,
meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) = complement(one),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),complement(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))) )],[refute_0_1689,refute_0_1691]) ).
cnf(refute_0_1693,plain,
converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1694,plain,
( converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))
| meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) != complement(one)
| converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1695,plain,
( meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) != complement(one)
| converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_1693,refute_0_1694]) ).
cnf(refute_0_1696,plain,
converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),complement(one)) )],[refute_0_1692,refute_0_1695]) ).
cnf(refute_0_1697,plain,
composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one) = converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),
inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1698,plain,
( composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one) != converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))
| converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != converse(complement(one))
| composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one) = converse(complement(one)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one))),bind(Y,$fot(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))),bind(Z,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1699,plain,
( converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != converse(complement(one))
| composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one),converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_1697,refute_0_1698]) ).
cnf(refute_0_1700,plain,
composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),converse(complement(one))) )],[refute_0_1696,refute_0_1699]) ).
cnf(refute_0_1701,plain,
join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)) = join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)),
introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)))]]) ).
cnf(refute_0_1702,plain,
( composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one) != converse(complement(one))
| join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)) != join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one))
| join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)) = join(complement(one),converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)),join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one))) ),[1,1],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1703,plain,
( composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one) != converse(complement(one))
| join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)) = join(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)),join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one))) )],[refute_0_1701,refute_0_1702]) ).
cnf(refute_0_1704,plain,
join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)) = join(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one),converse(complement(one))) )],[refute_0_1700,refute_0_1703]) ).
cnf(refute_0_1705,plain,
( join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)) != complement(one)
| join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)) != join(complement(one),converse(complement(one)))
| join(complement(one),converse(complement(one))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)),complement(one)) ),[0],$fot(join(complement(one),converse(complement(one))))]]) ).
cnf(refute_0_1706,plain,
( join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)) != complement(one)
| join(complement(one),converse(complement(one))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)),join(complement(one),converse(complement(one)))) )],[refute_0_1704,refute_0_1705]) ).
cnf(refute_0_1707,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one)),complement(one)) )],[refute_0_1688,refute_0_1706]) ).
cnf(refute_0_1708,plain,
( converse(complement(one)) != meet(converse(complement(one)),join(complement(one),converse(complement(one))))
| join(complement(one),converse(complement(one))) != complement(one)
| converse(complement(one)) = meet(converse(complement(one)),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(one)),meet(converse(complement(one)),join(complement(one),converse(complement(one))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1709,plain,
( converse(complement(one)) != meet(converse(complement(one)),join(complement(one),converse(complement(one))))
| converse(complement(one)) = meet(converse(complement(one)),complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(one))),complement(one)) )],[refute_0_1707,refute_0_1708]) ).
cnf(refute_0_1710,plain,
converse(complement(one)) = meet(converse(complement(one)),complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),meet(converse(complement(one)),join(complement(one),converse(complement(one))))) )],[refute_0_1658,refute_0_1709]) ).
cnf(refute_0_1711,plain,
join(zero,meet(X_97,converse(complement(converse(complement(X_97)))))) = meet(X_97,converse(complement(converse(complement(X_97))))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(meet(X_97,converse(complement(converse(complement(X_97)))))))]]) ).
cnf(refute_0_1712,plain,
( X_97 != join(zero,meet(X_97,converse(complement(converse(complement(X_97))))))
| join(zero,meet(X_97,converse(complement(converse(complement(X_97)))))) != meet(X_97,converse(complement(converse(complement(X_97)))))
| X_97 = meet(X_97,converse(complement(converse(complement(X_97))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,meet(X_97,converse(complement(converse(complement(X_97)))))) ),[0],$fot(join(zero,meet(X_97,converse(complement(converse(complement(X_97)))))))]]) ).
cnf(refute_0_1713,plain,
( X_97 != join(zero,meet(X_97,converse(complement(converse(complement(X_97))))))
| X_97 = meet(X_97,converse(complement(converse(complement(X_97))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,converse(complement(converse(complement(X_97)))))),meet(X_97,converse(complement(converse(complement(X_97)))))) )],[refute_0_1711,refute_0_1712]) ).
cnf(refute_0_1714,plain,
X_97 = meet(X_97,converse(complement(converse(complement(X_97))))),
inference(resolve,[$cnf( $equal(X_97,join(zero,meet(X_97,converse(complement(converse(complement(X_97))))))) )],[refute_0_1252,refute_0_1713]) ).
cnf(refute_0_1715,plain,
meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) = meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))))),
inference(subst,[],[refute_0_1714:[bind(X_97,$fot(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1716,plain,
( complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != one
| meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) != meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))))))
| meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) = meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))))))) ),[1,1,0,0,0],$fot(one)]]) ).
cnf(refute_0_1717,plain,
( meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) != meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))))))
| meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) = meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),one) )],[refute_0_1685,refute_0_1716]) ).
cnf(refute_0_1718,plain,
meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) = meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(complement(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))))))) )],[refute_0_1715,refute_0_1717]) ).
cnf(refute_0_1719,plain,
( meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) != complement(one)
| meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) != meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one))))
| complement(one) = meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one))))) ),[0],$fot(complement(one))]]) ).
cnf(refute_0_1720,plain,
( meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) != meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one))))
| complement(one) = meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),complement(one)) )],[refute_0_1692,refute_0_1719]) ).
cnf(refute_0_1721,plain,
meet(converse(complement(one)),complement(one)) = meet(complement(one),converse(complement(one))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(one))),bind(X_7,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1722,plain,
meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1723,plain,
( meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))
| meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) != complement(one)
| meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(converse(complement(one)),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1724,plain,
( meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) != complement(one)
| meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(converse(complement(one)),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_1722,refute_0_1723]) ).
cnf(refute_0_1725,plain,
meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(converse(complement(one)),complement(one)),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),complement(one)) )],[refute_0_1692,refute_0_1724]) ).
cnf(refute_0_1726,plain,
complement(converse(one)) = complement(converse(one)),
introduced(tautology,[refl,[$fot(complement(converse(one)))]]) ).
cnf(refute_0_1727,plain,
( complement(converse(one)) != complement(converse(one))
| converse(one) != one
| complement(converse(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(one)),complement(converse(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1728,plain,
( converse(one) != one
| complement(converse(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(converse(one))) )],[refute_0_1726,refute_0_1727]) ).
cnf(refute_0_1729,plain,
complement(converse(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_1728]) ).
cnf(refute_0_1730,plain,
converse(complement(converse(one))) = converse(complement(converse(one))),
introduced(tautology,[refl,[$fot(converse(complement(converse(one))))]]) ).
cnf(refute_0_1731,plain,
( complement(converse(one)) != complement(one)
| converse(complement(converse(one))) != converse(complement(converse(one)))
| converse(complement(converse(one))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(one))),converse(complement(converse(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1732,plain,
( complement(converse(one)) != complement(one)
| converse(complement(converse(one))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(one))),converse(complement(converse(one)))) )],[refute_0_1730,refute_0_1731]) ).
cnf(refute_0_1733,plain,
converse(complement(converse(one))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(one)) )],[refute_0_1729,refute_0_1732]) ).
cnf(refute_0_1734,plain,
meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1735,plain,
( converse(complement(converse(one))) != converse(complement(one))
| meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))
| meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))) ),[1,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1736,plain,
( converse(complement(converse(one))) != converse(complement(one))
| meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_1734,refute_0_1735]) ).
cnf(refute_0_1737,plain,
meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(one))),converse(complement(one))) )],[refute_0_1733,refute_0_1736]) ).
cnf(refute_0_1738,plain,
( meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))
| meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != meet(converse(complement(one)),complement(one))
| meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(converse(complement(one)),complement(one)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))),bind(Y,$fot(meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))),bind(Z,$fot(meet(converse(complement(one)),complement(one))))]]) ).
cnf(refute_0_1739,plain,
( meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != meet(converse(complement(one)),complement(one))
| meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(converse(complement(one)),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_1737,refute_0_1738]) ).
cnf(refute_0_1740,plain,
meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(converse(complement(one)),complement(one)),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),meet(converse(complement(one)),complement(one))) )],[refute_0_1725,refute_0_1739]) ).
cnf(refute_0_1741,plain,
( meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != meet(converse(complement(one)),complement(one))
| meet(converse(complement(one)),complement(one)) != meet(complement(one),converse(complement(one)))
| meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(complement(one),converse(complement(one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))),bind(Y,$fot(meet(converse(complement(one)),complement(one)))),bind(Z,$fot(meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_0_1742,plain,
( meet(converse(complement(one)),complement(one)) != meet(complement(one),converse(complement(one)))
| meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),meet(converse(complement(one)),complement(one))) )],[refute_0_1740,refute_0_1741]) ).
cnf(refute_0_1743,plain,
meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) = meet(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(one)),meet(complement(one),converse(complement(one)))) )],[refute_0_1721,refute_0_1742]) ).
cnf(refute_0_1744,plain,
meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))) = meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(complement(converse(one))))),bind(X_7,$fot(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1745,plain,
( meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != meet(complement(one),converse(complement(one)))
| meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))) != meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))
| meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))) = meet(complement(one),converse(complement(one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))))),bind(Y,$fot(meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))))),bind(Z,$fot(meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_0_1746,plain,
( meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))) != meet(complement(one),converse(complement(one)))
| meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))),meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_1744,refute_0_1745]) ).
cnf(refute_0_1747,plain,
meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))) = meet(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(one))),meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one)))))),meet(complement(one),converse(complement(one)))) )],[refute_0_1743,refute_0_1746]) ).
cnf(refute_0_1748,plain,
( complement(one) != meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one))))
| meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))) != meet(complement(one),converse(complement(one)))
| complement(one) = meet(complement(one),converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),converse(complement(one)))) ),[0],$fot(meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))))]]) ).
cnf(refute_0_1749,plain,
( complement(one) != meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one))))
| complement(one) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one)))),meet(complement(one),converse(complement(one)))) )],[refute_0_1747,refute_0_1748]) ).
cnf(refute_0_1750,plain,
( meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) != meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one))))
| complement(one) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(complement(one),meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one))))) )],[refute_0_1720,refute_0_1749]) ).
cnf(refute_0_1751,plain,
complement(one) = meet(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),meet(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),converse(complement(converse(one))))) )],[refute_0_1718,refute_0_1750]) ).
cnf(refute_0_1752,plain,
( complement(one) != meet(complement(one),converse(complement(one)))
| meet(complement(one),converse(complement(one))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_0_1753,plain,
meet(complement(one),converse(complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(one)))) )],[refute_0_1751,refute_0_1752]) ).
cnf(refute_0_1754,plain,
( meet(complement(one),converse(complement(one))) != complement(one)
| meet(converse(complement(one)),complement(one)) != meet(complement(one),converse(complement(one)))
| meet(converse(complement(one)),complement(one)) = complement(one) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(one)),complement(one)))),bind(Y,$fot(meet(complement(one),converse(complement(one))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_1755,plain,
( meet(complement(one),converse(complement(one))) != complement(one)
| meet(converse(complement(one)),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(one)),meet(complement(one),converse(complement(one)))) )],[refute_0_1721,refute_0_1754]) ).
cnf(refute_0_1756,plain,
meet(converse(complement(one)),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(one))),complement(one)) )],[refute_0_1753,refute_0_1755]) ).
cnf(refute_0_1757,plain,
( converse(complement(one)) != meet(converse(complement(one)),complement(one))
| meet(converse(complement(one)),complement(one)) != complement(one)
| converse(complement(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),complement(one)) ),[0],$fot(meet(converse(complement(one)),complement(one)))]]) ).
cnf(refute_0_1758,plain,
( converse(complement(one)) != meet(converse(complement(one)),complement(one))
| converse(complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(one)),complement(one)) )],[refute_0_1756,refute_0_1757]) ).
cnf(refute_0_1759,plain,
converse(complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(complement(one)),meet(converse(complement(one)),complement(one))) )],[refute_0_1710,refute_0_1758]) ).
cnf(refute_0_1760,plain,
( converse(complement(one)) != complement(one)
| converse(join(converse(complement(one)),X_12)) != join(complement(one),converse(X_12))
| converse(join(complement(one),X_12)) = join(complement(one),converse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),X_12)),join(complement(one),converse(X_12))) ),[0,0,0],$fot(complement(one))]]) ).
cnf(refute_0_1761,plain,
( converse(join(converse(complement(one)),X_12)) != join(complement(one),converse(X_12))
| converse(join(complement(one),X_12)) = join(complement(one),converse(X_12)) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1759,refute_0_1760]) ).
cnf(refute_0_1762,plain,
converse(join(complement(one),X_12)) = join(complement(one),converse(X_12)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),X_12)),join(complement(one),converse(X_12))) )],[refute_0_1657,refute_0_1761]) ).
cnf(refute_0_1763,plain,
( converse(join(complement(one),X_12)) != join(complement(one),converse(X_12))
| join(complement(one),converse(X_12)) = converse(join(complement(one),X_12)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(complement(one),X_12)))),bind(Y,$fot(join(complement(one),converse(X_12))))]]) ).
cnf(refute_0_1764,plain,
join(complement(one),converse(X_12)) = converse(join(complement(one),X_12)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),X_12)),join(complement(one),converse(X_12))) )],[refute_0_1762,refute_0_1763]) ).
cnf(refute_0_1765,plain,
join(complement(one),converse(complement(join(sk1,complement(one))))) = converse(join(complement(one),complement(join(sk1,complement(one))))),
inference(subst,[],[refute_0_1764:[bind(X_12,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_1766,plain,
( converse(join(complement(one),complement(join(sk1,complement(one))))) != converse(complement(meet(one,join(sk1,complement(one)))))
| join(complement(one),converse(complement(join(sk1,complement(one))))) != converse(join(complement(one),complement(join(sk1,complement(one)))))
| join(complement(one),converse(complement(join(sk1,complement(one))))) = converse(complement(meet(one,join(sk1,complement(one))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),converse(complement(join(sk1,complement(one))))))),bind(Y,$fot(converse(join(complement(one),complement(join(sk1,complement(one))))))),bind(Z,$fot(converse(complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1767,plain,
( converse(join(complement(one),complement(join(sk1,complement(one))))) != converse(complement(meet(one,join(sk1,complement(one)))))
| join(complement(one),converse(complement(join(sk1,complement(one))))) = converse(complement(meet(one,join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(join(sk1,complement(one))))),converse(join(complement(one),complement(join(sk1,complement(one)))))) )],[refute_0_1765,refute_0_1766]) ).
cnf(refute_0_1768,plain,
join(complement(one),converse(complement(join(sk1,complement(one))))) = converse(complement(meet(one,join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(join(sk1,complement(one))))),converse(complement(meet(one,join(sk1,complement(one)))))) )],[refute_0_1656,refute_0_1767]) ).
cnf(refute_0_1769,plain,
complement(join(complement(one),converse(complement(join(sk1,complement(one)))))) = complement(join(complement(one),converse(complement(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(complement(join(complement(one),converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1770,plain,
( complement(join(complement(one),converse(complement(join(sk1,complement(one)))))) != complement(join(complement(one),converse(complement(join(sk1,complement(one))))))
| join(complement(one),converse(complement(join(sk1,complement(one))))) != converse(complement(meet(one,join(sk1,complement(one)))))
| complement(join(complement(one),converse(complement(join(sk1,complement(one)))))) = complement(converse(complement(meet(one,join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(one),converse(complement(join(sk1,complement(one)))))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))) ),[1,0],$fot(converse(complement(meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_1771,plain,
( join(complement(one),converse(complement(join(sk1,complement(one))))) != converse(complement(meet(one,join(sk1,complement(one)))))
| complement(join(complement(one),converse(complement(join(sk1,complement(one)))))) = complement(converse(complement(meet(one,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(complement(join(sk1,complement(one)))))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))) )],[refute_0_1769,refute_0_1770]) ).
cnf(refute_0_1772,plain,
complement(join(complement(one),converse(complement(join(sk1,complement(one)))))) = complement(converse(complement(meet(one,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(join(sk1,complement(one))))),converse(complement(meet(one,join(sk1,complement(one)))))) )],[refute_0_1768,refute_0_1771]) ).
cnf(refute_0_1773,plain,
join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))) = join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1774,plain,
( complement(join(complement(one),converse(complement(join(sk1,complement(one)))))) != complement(converse(complement(meet(one,join(sk1,complement(one))))))
| join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))) != join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one)))))))
| join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))) = join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))),join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one)))))))) ),[1,1],$fot(complement(converse(complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_1775,plain,
( complement(join(complement(one),converse(complement(join(sk1,complement(one)))))) != complement(converse(complement(meet(one,join(sk1,complement(one))))))
| join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))) = join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))),join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one)))))))) )],[refute_0_1773,refute_0_1774]) ).
cnf(refute_0_1776,plain,
join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))) = join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(complement(join(sk1,complement(one)))))),complement(converse(complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_1772,refute_0_1775]) ).
cnf(refute_0_1777,plain,
( join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))) != join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one)))))))
| one != join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one)))))))
| one = join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one)))))))) ),[1],$fot(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1778,plain,
( one != join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one)))))))
| one = join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one))))))),join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one)))))))) )],[refute_0_1776,refute_0_1777]) ).
cnf(refute_0_1779,plain,
one = join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(one,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),converse(complement(join(sk1,complement(one)))))))) )],[refute_0_1651,refute_0_1778]) ).
cnf(refute_0_1780,plain,
( one != join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one)))))))
| join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_1781,plain,
join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one)))))))) )],[refute_0_1779,refute_0_1780]) ).
cnf(refute_0_1782,plain,
( converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != converse(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))))
| join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))) != one
| converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))),converse(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1783,plain,
( converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != converse(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))))
| converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = converse(one) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))),one) )],[refute_0_1781,refute_0_1782]) ).
cnf(refute_0_1784,plain,
converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))),converse(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))))) )],[refute_0_1585,refute_0_1783]) ).
cnf(refute_0_1785,plain,
join(converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))),complement(join(sk1,complement(one)))) = join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(sk1,complement(one))))),bind(B,$fot(converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_1786,plain,
converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = join(converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))),complement(join(sk1,complement(one)))),
inference(subst,[],[refute_0_1350:[bind(A,$fot(complement(join(sk1,complement(one))))),bind(X_11,$fot(complement(converse(complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_1787,plain,
( converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != join(converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))),complement(join(sk1,complement(one))))
| join(converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))),complement(join(sk1,complement(one)))) != join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))))
| converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))))),bind(Y,$fot(join(converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))),complement(join(sk1,complement(one)))))),bind(Z,$fot(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_1788,plain,
( join(converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))),complement(join(sk1,complement(one)))) != join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))))
| converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))),join(converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))),complement(join(sk1,complement(one))))) )],[refute_0_1786,refute_0_1787]) ).
cnf(refute_0_1789,plain,
converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))),complement(join(sk1,complement(one)))),join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))))) )],[refute_0_1785,refute_0_1788]) ).
cnf(refute_0_1790,plain,
( converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != converse(one)
| converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))))
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))),converse(one)) ),[0],$fot(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_1791,plain,
( converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != converse(one)
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))),join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))))) )],[refute_0_1789,refute_0_1790]) ).
cnf(refute_0_1792,plain,
( converse(one) != one
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) != converse(one)
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_1793,plain,
( join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) != converse(one)
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_1792]) ).
cnf(refute_0_1794,plain,
( converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != converse(one)
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = one ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))),converse(one)) )],[refute_0_1791,refute_0_1793]) ).
cnf(refute_0_1795,plain,
join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = one,
inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))),converse(one)) )],[refute_0_1784,refute_0_1794]) ).
cnf(refute_0_1796,plain,
meet(one,complement(meet(one,complement(sk1)))) = complement(complement(meet(one,complement(meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(one,complement(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_1797,plain,
complement(sk1) = join(meet(complement(sk1),complement(meet(one,complement(sk1)))),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(complement(sk1))),bind(B,$fot(complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_1798,plain,
meet(complement(sk1),complement(meet(one,complement(sk1)))) = complement(complement(meet(complement(sk1),complement(meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(complement(sk1),complement(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_1799,plain,
one = join(meet(one,complement(join(X_190,complement(sk1)))),complement(join(complement(one),complement(join(X_190,complement(sk1)))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(one)),bind(B,$fot(complement(join(X_190,complement(sk1)))))]]) ).
cnf(refute_0_1800,plain,
complement(join(X_189,complement(sk1))) = meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(join(one,join(X_189,complement(sk1)))))))),
inference(subst,[],[refute_0_1092:[bind(X_97,$fot(join(X_189,complement(sk1))))]]) ).
cnf(refute_0_1801,plain,
join(one,join(complement(sk1),C)) = join(join(one,complement(sk1)),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(one)),bind(B,$fot(complement(sk1)))]]) ).
cnf(refute_0_1802,plain,
( join(one,top) != join(one,complement(sk1))
| join(one,complement(sk1)) = join(one,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,top))),bind(Y,$fot(join(one,complement(sk1))))]]) ).
cnf(refute_0_1803,plain,
join(one,complement(sk1)) = join(one,top),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(sk1))) )],[refute_0_902,refute_0_1802]) ).
cnf(refute_0_1804,plain,
( join(one,complement(sk1)) != join(one,top)
| join(one,join(complement(sk1),C)) != join(join(one,complement(sk1)),C)
| join(one,join(complement(sk1),C)) = join(join(one,top),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(sk1),C)),join(join(one,complement(sk1)),C)) ),[1,0],$fot(join(one,top))]]) ).
cnf(refute_0_1805,plain,
( join(one,join(complement(sk1),C)) != join(join(one,complement(sk1)),C)
| join(one,join(complement(sk1),C)) = join(join(one,top),C) ),
inference(resolve,[$cnf( $equal(join(one,complement(sk1)),join(one,top)) )],[refute_0_1803,refute_0_1804]) ).
cnf(refute_0_1806,plain,
join(one,join(complement(sk1),C)) = join(join(one,top),C),
inference(resolve,[$cnf( $equal(join(one,join(complement(sk1),C)),join(join(one,complement(sk1)),C)) )],[refute_0_1801,refute_0_1805]) ).
cnf(refute_0_1807,plain,
join(join(one,top),C) = join(one,join(top,C)),
inference(subst,[],[refute_0_169:[bind(A,$fot(one)),bind(B,$fot(top))]]) ).
cnf(refute_0_1808,plain,
( join(join(one,top),C) != join(one,join(top,C))
| join(one,join(complement(sk1),C)) != join(join(one,top),C)
| join(one,join(complement(sk1),C)) = join(one,join(top,C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(sk1),C)),join(join(one,top),C)) ),[1],$fot(join(one,join(top,C)))]]) ).
cnf(refute_0_1809,plain,
( join(one,join(complement(sk1),C)) != join(join(one,top),C)
| join(one,join(complement(sk1),C)) = join(one,join(top,C)) ),
inference(resolve,[$cnf( $equal(join(join(one,top),C),join(one,join(top,C))) )],[refute_0_1807,refute_0_1808]) ).
cnf(refute_0_1810,plain,
join(one,join(complement(sk1),C)) = join(one,join(top,C)),
inference(resolve,[$cnf( $equal(join(one,join(complement(sk1),C)),join(join(one,top),C)) )],[refute_0_1806,refute_0_1809]) ).
cnf(refute_0_1811,plain,
join(one,join(complement(sk1),X_49)) = join(one,join(top,X_49)),
inference(subst,[],[refute_0_1810:[bind(C,$fot(X_49))]]) ).
cnf(refute_0_1812,plain,
join(X_49,complement(sk1)) = join(complement(sk1),X_49),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_49)),bind(B,$fot(complement(sk1)))]]) ).
cnf(refute_0_1813,plain,
( join(X_49,complement(sk1)) != join(complement(sk1),X_49)
| join(complement(sk1),X_49) = join(X_49,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_49,complement(sk1)))),bind(Y,$fot(join(complement(sk1),X_49)))]]) ).
cnf(refute_0_1814,plain,
join(complement(sk1),X_49) = join(X_49,complement(sk1)),
inference(resolve,[$cnf( $equal(join(X_49,complement(sk1)),join(complement(sk1),X_49)) )],[refute_0_1812,refute_0_1813]) ).
cnf(refute_0_1815,plain,
( join(complement(sk1),X_49) != join(X_49,complement(sk1))
| join(one,join(complement(sk1),X_49)) != join(one,join(top,X_49))
| join(one,join(X_49,complement(sk1))) = join(one,join(top,X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(sk1),X_49)),join(one,join(top,X_49))) ),[0,1],$fot(join(X_49,complement(sk1)))]]) ).
cnf(refute_0_1816,plain,
( join(one,join(complement(sk1),X_49)) != join(one,join(top,X_49))
| join(one,join(X_49,complement(sk1))) = join(one,join(top,X_49)) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),X_49),join(X_49,complement(sk1))) )],[refute_0_1814,refute_0_1815]) ).
cnf(refute_0_1817,plain,
join(one,join(X_49,complement(sk1))) = join(one,join(top,X_49)),
inference(resolve,[$cnf( $equal(join(one,join(complement(sk1),X_49)),join(one,join(top,X_49))) )],[refute_0_1811,refute_0_1816]) ).
cnf(refute_0_1818,plain,
join(top,X_49) = top,
inference(subst,[],[refute_0_459:[bind(X_31,$fot(X_49))]]) ).
cnf(refute_0_1819,plain,
join(one,join(top,X_49)) = join(one,join(top,X_49)),
introduced(tautology,[refl,[$fot(join(one,join(top,X_49)))]]) ).
cnf(refute_0_1820,plain,
( join(one,join(top,X_49)) != join(one,join(top,X_49))
| join(top,X_49) != top
| join(one,join(top,X_49)) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(top,X_49)),join(one,join(top,X_49))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1821,plain,
( join(top,X_49) != top
| join(one,join(top,X_49)) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(one,join(top,X_49)),join(one,join(top,X_49))) )],[refute_0_1819,refute_0_1820]) ).
cnf(refute_0_1822,plain,
join(one,join(top,X_49)) = join(one,top),
inference(resolve,[$cnf( $equal(join(top,X_49),top) )],[refute_0_1818,refute_0_1821]) ).
cnf(refute_0_1823,plain,
( join(one,join(top,X_49)) != join(one,top)
| join(one,top) != top
| join(one,join(top,X_49)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(top,X_49)))),bind(Y,$fot(join(one,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1824,plain,
( join(one,top) != top
| join(one,join(top,X_49)) = top ),
inference(resolve,[$cnf( $equal(join(one,join(top,X_49)),join(one,top)) )],[refute_0_1822,refute_0_1823]) ).
cnf(refute_0_1825,plain,
join(one,join(top,X_49)) = top,
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_903,refute_0_1824]) ).
cnf(refute_0_1826,plain,
( join(one,join(X_49,complement(sk1))) != join(one,join(top,X_49))
| join(one,join(top,X_49)) != top
| join(one,join(X_49,complement(sk1))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(X_49,complement(sk1))),top) ),[0],$fot(join(one,join(top,X_49)))]]) ).
cnf(refute_0_1827,plain,
( join(one,join(X_49,complement(sk1))) != join(one,join(top,X_49))
| join(one,join(X_49,complement(sk1))) = top ),
inference(resolve,[$cnf( $equal(join(one,join(top,X_49)),top) )],[refute_0_1825,refute_0_1826]) ).
cnf(refute_0_1828,plain,
join(one,join(X_49,complement(sk1))) = top,
inference(resolve,[$cnf( $equal(join(one,join(X_49,complement(sk1))),join(one,join(top,X_49))) )],[refute_0_1817,refute_0_1827]) ).
cnf(refute_0_1829,plain,
join(one,join(X_189,complement(sk1))) = top,
inference(subst,[],[refute_0_1828:[bind(X_49,$fot(X_189))]]) ).
cnf(refute_0_1830,plain,
( complement(join(X_189,complement(sk1))) != meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(join(one,join(X_189,complement(sk1))))))))
| join(one,join(X_189,complement(sk1))) != top
| complement(join(X_189,complement(sk1))) = meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_189,complement(sk1))),meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(join(one,join(X_189,complement(sk1))))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_1831,plain,
( complement(join(X_189,complement(sk1))) != meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(join(one,join(X_189,complement(sk1))))))))
| complement(join(X_189,complement(sk1))) = meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_189,complement(sk1))),top) )],[refute_0_1829,refute_0_1830]) ).
cnf(refute_0_1832,plain,
complement(join(X_189,complement(sk1))) = meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(complement(join(X_189,complement(sk1))),meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(join(one,join(X_189,complement(sk1))))))))) )],[refute_0_1800,refute_0_1831]) ).
cnf(refute_0_1833,plain,
meet(complement(join(X_189,complement(sk1))),one) = meet(one,complement(join(X_189,complement(sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(join(X_189,complement(sk1)))))]]) ).
cnf(refute_0_1834,plain,
meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))) = meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_1835,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))) != meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top)))))
| meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))) = meet(complement(join(X_189,complement(sk1))),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))),meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1836,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))) = meet(complement(join(X_189,complement(sk1))),one) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))),meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top)))))) )],[refute_0_1834,refute_0_1835]) ).
cnf(refute_0_1837,plain,
meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))) = meet(complement(join(X_189,complement(sk1))),one),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_962,refute_0_1836]) ).
cnf(refute_0_1838,plain,
( meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))) != meet(complement(join(X_189,complement(sk1))),one)
| meet(complement(join(X_189,complement(sk1))),one) != meet(one,complement(join(X_189,complement(sk1))))
| meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))) = meet(one,complement(join(X_189,complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(complement(join(X_189,complement(sk1))),one))),bind(Z,$fot(meet(one,complement(join(X_189,complement(sk1))))))]]) ).
cnf(refute_0_1839,plain,
( meet(complement(join(X_189,complement(sk1))),one) != meet(one,complement(join(X_189,complement(sk1))))
| meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))) = meet(one,complement(join(X_189,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))),meet(complement(join(X_189,complement(sk1))),one)) )],[refute_0_1837,refute_0_1838]) ).
cnf(refute_0_1840,plain,
meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))) = meet(one,complement(join(X_189,complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(complement(join(X_189,complement(sk1))),one),meet(one,complement(join(X_189,complement(sk1))))) )],[refute_0_1833,refute_0_1839]) ).
cnf(refute_0_1841,plain,
( complement(join(X_189,complement(sk1))) != meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top)))))
| meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))) != meet(one,complement(join(X_189,complement(sk1))))
| complement(join(X_189,complement(sk1))) = meet(one,complement(join(X_189,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X_189,complement(sk1))),meet(one,complement(join(X_189,complement(sk1))))) ),[0],$fot(meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_1842,plain,
( complement(join(X_189,complement(sk1))) != meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top)))))
| complement(join(X_189,complement(sk1))) = meet(one,complement(join(X_189,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top))))),meet(one,complement(join(X_189,complement(sk1))))) )],[refute_0_1840,refute_0_1841]) ).
cnf(refute_0_1843,plain,
complement(join(X_189,complement(sk1))) = meet(one,complement(join(X_189,complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(join(X_189,complement(sk1))),meet(complement(join(X_189,complement(sk1))),converse(join(one,complement(converse(top)))))) )],[refute_0_1832,refute_0_1842]) ).
cnf(refute_0_1844,plain,
complement(join(X_190,complement(sk1))) = meet(one,complement(join(X_190,complement(sk1)))),
inference(subst,[],[refute_0_1843:[bind(X_189,$fot(X_190))]]) ).
cnf(refute_0_1845,plain,
( complement(join(X_190,complement(sk1))) != meet(one,complement(join(X_190,complement(sk1))))
| meet(one,complement(join(X_190,complement(sk1)))) = complement(join(X_190,complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(X_190,complement(sk1))))),bind(Y,$fot(meet(one,complement(join(X_190,complement(sk1))))))]]) ).
cnf(refute_0_1846,plain,
meet(one,complement(join(X_190,complement(sk1)))) = complement(join(X_190,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(join(X_190,complement(sk1))),meet(one,complement(join(X_190,complement(sk1))))) )],[refute_0_1844,refute_0_1845]) ).
cnf(refute_0_1847,plain,
( meet(one,complement(join(X_190,complement(sk1)))) != complement(join(X_190,complement(sk1)))
| one != join(meet(one,complement(join(X_190,complement(sk1)))),complement(join(complement(one),complement(join(X_190,complement(sk1))))))
| one = join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(join(X_190,complement(sk1)))),complement(join(complement(one),complement(join(X_190,complement(sk1))))))) ),[1,0],$fot(complement(join(X_190,complement(sk1))))]]) ).
cnf(refute_0_1848,plain,
( one != join(meet(one,complement(join(X_190,complement(sk1)))),complement(join(complement(one),complement(join(X_190,complement(sk1))))))
| one = join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(X_190,complement(sk1)))),complement(join(X_190,complement(sk1)))) )],[refute_0_1846,refute_0_1847]) ).
cnf(refute_0_1849,plain,
one = join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1)))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(join(X_190,complement(sk1)))),complement(join(complement(one),complement(join(X_190,complement(sk1))))))) )],[refute_0_1799,refute_0_1848]) ).
cnf(refute_0_1850,plain,
join(complement(one),complement(join(X_190,complement(sk1)))) = complement(meet(one,join(X_190,complement(sk1)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(join(X_190,complement(sk1))))]]) ).
cnf(refute_0_1851,plain,
meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))) = meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))),
introduced(tautology,[refl,[$fot(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))))]]) ).
cnf(refute_0_1852,plain,
( join(complement(one),complement(join(X_190,complement(sk1)))) != complement(meet(one,join(X_190,complement(sk1))))
| meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))) != meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))
| meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))) = meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))),meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))) ),[1,1],$fot(complement(meet(one,join(X_190,complement(sk1)))))]]) ).
cnf(refute_0_1853,plain,
( join(complement(one),complement(join(X_190,complement(sk1)))) != complement(meet(one,join(X_190,complement(sk1))))
| meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))) = meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))),meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))) )],[refute_0_1851,refute_0_1852]) ).
cnf(refute_0_1854,plain,
meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))) = meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(X_190,complement(sk1)))),complement(meet(one,join(X_190,complement(sk1))))) )],[refute_0_1850,refute_0_1853]) ).
cnf(refute_0_1855,plain,
complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))) = complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))),
introduced(tautology,[refl,[$fot(complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))))]]) ).
cnf(refute_0_1856,plain,
( complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))) != complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))))
| meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))) != meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1)))))
| complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))) = complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))),complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))))) ),[1,0],$fot(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1))))))]]) ).
cnf(refute_0_1857,plain,
( meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))) != meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1)))))
| complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))) = complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))),complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))))) )],[refute_0_1855,refute_0_1856]) ).
cnf(refute_0_1858,plain,
complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))) = complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1)))))),
inference(resolve,[$cnf( $equal(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))),meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1)))))) )],[refute_0_1854,refute_0_1857]) ).
cnf(refute_0_1859,plain,
join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1)))))) = complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(join(X_190,complement(sk1)))),bind(B,$fot(join(complement(one),complement(join(X_190,complement(sk1))))))]]) ).
cnf(refute_0_1860,plain,
( complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))) != complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1))))))
| join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1)))))) != complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))))
| join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1)))))) = complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1)))))))),bind(Y,$fot(complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))))),bind(Z,$fot(complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1))))))))]]) ).
cnf(refute_0_1861,plain,
( complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))) != complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1))))))
| join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1)))))) = complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1)))))),complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1))))))) )],[refute_0_1859,refute_0_1860]) ).
cnf(refute_0_1862,plain,
join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1)))))) = complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1)))))),
inference(resolve,[$cnf( $equal(complement(meet(join(X_190,complement(sk1)),join(complement(one),complement(join(X_190,complement(sk1)))))),complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1))))))) )],[refute_0_1858,refute_0_1861]) ).
cnf(refute_0_1863,plain,
( join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1)))))) != complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1))))))
| one != join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1))))))
| one = complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1))))))) ),[1],$fot(complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1)))))))]]) ).
cnf(refute_0_1864,plain,
( one != join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1))))))
| one = complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1)))))),complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1))))))) )],[refute_0_1862,refute_0_1863]) ).
cnf(refute_0_1865,plain,
one = complement(meet(join(X_190,complement(sk1)),complement(meet(one,join(X_190,complement(sk1)))))),
inference(resolve,[$cnf( $equal(one,join(complement(join(X_190,complement(sk1))),complement(join(complement(one),complement(join(X_190,complement(sk1))))))) )],[refute_0_1849,refute_0_1864]) ).
cnf(refute_0_1866,plain,
one = complement(meet(join(zero,complement(sk1)),complement(meet(one,join(zero,complement(sk1)))))),
inference(subst,[],[refute_0_1865:[bind(X_190,$fot(zero))]]) ).
cnf(refute_0_1867,plain,
complement(sk1) = join(zero,complement(sk1)),
inference(subst,[],[refute_0_668:[bind(X_97,$fot(complement(sk1)))]]) ).
cnf(refute_0_1868,plain,
( complement(sk1) != join(zero,complement(sk1))
| join(zero,complement(sk1)) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(join(zero,complement(sk1))))]]) ).
cnf(refute_0_1869,plain,
join(zero,complement(sk1)) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),join(zero,complement(sk1))) )],[refute_0_1867,refute_0_1868]) ).
cnf(refute_0_1870,plain,
( join(zero,complement(sk1)) != complement(sk1)
| one != complement(meet(join(zero,complement(sk1)),complement(meet(one,join(zero,complement(sk1))))))
| one = complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,complement(meet(join(zero,complement(sk1)),complement(meet(one,join(zero,complement(sk1))))))) ),[1,0,1,0,1],$fot(complement(sk1))]]) ).
cnf(refute_0_1871,plain,
( one != complement(meet(join(zero,complement(sk1)),complement(meet(one,join(zero,complement(sk1))))))
| one = complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(sk1)),complement(sk1)) )],[refute_0_1869,refute_0_1870]) ).
cnf(refute_0_1872,plain,
one = complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(one,complement(meet(join(zero,complement(sk1)),complement(meet(one,join(zero,complement(sk1))))))) )],[refute_0_1866,refute_0_1871]) ).
cnf(refute_0_1873,plain,
meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))) = meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_1874,plain,
( join(zero,complement(sk1)) != complement(sk1)
| meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))) != meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))
| meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))) = meet(complement(sk1),complement(meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))),meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_1875,plain,
( join(zero,complement(sk1)) != complement(sk1)
| meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))) = meet(complement(sk1),complement(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))),meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))) )],[refute_0_1873,refute_0_1874]) ).
cnf(refute_0_1876,plain,
meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))) = meet(complement(sk1),complement(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(zero,complement(sk1)),complement(sk1)) )],[refute_0_1869,refute_0_1875]) ).
cnf(refute_0_1877,plain,
complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))) = complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_1878,plain,
( complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))) != complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))))
| meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))) != meet(complement(sk1),complement(meet(one,complement(sk1))))
| complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))) = complement(meet(complement(sk1),complement(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))),complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))))) ),[1,0],$fot(meet(complement(sk1),complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_1879,plain,
( meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))) != meet(complement(sk1),complement(meet(one,complement(sk1))))
| complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))) = complement(meet(complement(sk1),complement(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))),complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))))) )],[refute_0_1877,refute_0_1878]) ).
cnf(refute_0_1880,plain,
complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))) = complement(meet(complement(sk1),complement(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))),meet(complement(sk1),complement(meet(one,complement(sk1))))) )],[refute_0_1876,refute_0_1879]) ).
cnf(refute_0_1881,plain,
( complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))) != complement(meet(complement(sk1),complement(meet(one,complement(sk1)))))
| one != complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))))
| one = complement(meet(complement(sk1),complement(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))))) ),[1],$fot(complement(meet(complement(sk1),complement(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_1882,plain,
( one != complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))))
| one = complement(meet(complement(sk1),complement(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1))))),complement(meet(complement(sk1),complement(meet(one,complement(sk1)))))) )],[refute_0_1880,refute_0_1881]) ).
cnf(refute_0_1883,plain,
one = complement(meet(complement(sk1),complement(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(one,complement(meet(join(zero,complement(sk1)),complement(meet(one,complement(sk1)))))) )],[refute_0_1872,refute_0_1882]) ).
cnf(refute_0_1884,plain,
( one != complement(meet(complement(sk1),complement(meet(one,complement(sk1)))))
| complement(meet(complement(sk1),complement(meet(one,complement(sk1))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(complement(meet(complement(sk1),complement(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_1885,plain,
complement(meet(complement(sk1),complement(meet(one,complement(sk1))))) = one,
inference(resolve,[$cnf( $equal(one,complement(meet(complement(sk1),complement(meet(one,complement(sk1)))))) )],[refute_0_1883,refute_0_1884]) ).
cnf(refute_0_1886,plain,
( complement(meet(complement(sk1),complement(meet(one,complement(sk1))))) != one
| meet(complement(sk1),complement(meet(one,complement(sk1)))) != complement(complement(meet(complement(sk1),complement(meet(one,complement(sk1))))))
| meet(complement(sk1),complement(meet(one,complement(sk1)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),complement(meet(one,complement(sk1)))),complement(complement(meet(complement(sk1),complement(meet(one,complement(sk1))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1887,plain,
( meet(complement(sk1),complement(meet(one,complement(sk1)))) != complement(complement(meet(complement(sk1),complement(meet(one,complement(sk1))))))
| meet(complement(sk1),complement(meet(one,complement(sk1)))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk1),complement(meet(one,complement(sk1))))),one) )],[refute_0_1885,refute_0_1886]) ).
cnf(refute_0_1888,plain,
meet(complement(sk1),complement(meet(one,complement(sk1)))) = complement(one),
inference(resolve,[$cnf( $equal(meet(complement(sk1),complement(meet(one,complement(sk1)))),complement(complement(meet(complement(sk1),complement(meet(one,complement(sk1))))))) )],[refute_0_1798,refute_0_1887]) ).
cnf(refute_0_1889,plain,
( complement(sk1) != join(meet(complement(sk1),complement(meet(one,complement(sk1)))),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))
| meet(complement(sk1),complement(meet(one,complement(sk1)))) != complement(one)
| complement(sk1) = join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk1),join(meet(complement(sk1),complement(meet(one,complement(sk1)))),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1890,plain,
( complement(sk1) != join(meet(complement(sk1),complement(meet(one,complement(sk1)))),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))
| complement(sk1) = join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),complement(meet(one,complement(sk1)))),complement(one)) )],[refute_0_1888,refute_0_1889]) ).
cnf(refute_0_1891,plain,
complement(sk1) = join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(complement(sk1),join(meet(complement(sk1),complement(meet(one,complement(sk1)))),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))) )],[refute_0_1797,refute_0_1890]) ).
cnf(refute_0_1892,plain,
meet(one,complement(sk1)) = meet(meet(one,complement(sk1)),join(complement(one),meet(one,complement(sk1)))),
inference(subst,[],[refute_0_1000:[bind(X_118,$fot(complement(one))),bind(X_119,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_1893,plain,
X_117 = join(meet(X_117,X_116),meet(X_117,complement(X_116))),
inference(subst,[],[refute_0_699:[bind(B,$fot(X_116)),bind(X_97,$fot(X_117))]]) ).
cnf(refute_0_1894,plain,
meet(complement(X_116),X_117) = meet(X_117,complement(X_116)),
inference(subst,[],[refute_0_33:[bind(X_6,$fot(complement(X_116))),bind(X_7,$fot(X_117))]]) ).
cnf(refute_0_1895,plain,
( meet(complement(X_116),X_117) != meet(X_117,complement(X_116))
| meet(X_117,complement(X_116)) = meet(complement(X_116),X_117) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(X_116),X_117))),bind(Y,$fot(meet(X_117,complement(X_116))))]]) ).
cnf(refute_0_1896,plain,
meet(X_117,complement(X_116)) = meet(complement(X_116),X_117),
inference(resolve,[$cnf( $equal(meet(complement(X_116),X_117),meet(X_117,complement(X_116))) )],[refute_0_1894,refute_0_1895]) ).
cnf(refute_0_1897,plain,
( X_117 != join(meet(X_117,X_116),meet(X_117,complement(X_116)))
| meet(X_117,complement(X_116)) != meet(complement(X_116),X_117)
| X_117 = join(meet(X_117,X_116),meet(complement(X_116),X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(X_117,join(meet(X_117,X_116),meet(X_117,complement(X_116)))) ),[1,1],$fot(meet(complement(X_116),X_117))]]) ).
cnf(refute_0_1898,plain,
( X_117 != join(meet(X_117,X_116),meet(X_117,complement(X_116)))
| X_117 = join(meet(X_117,X_116),meet(complement(X_116),X_117)) ),
inference(resolve,[$cnf( $equal(meet(X_117,complement(X_116)),meet(complement(X_116),X_117)) )],[refute_0_1896,refute_0_1897]) ).
cnf(refute_0_1899,plain,
X_117 = join(meet(X_117,X_116),meet(complement(X_116),X_117)),
inference(resolve,[$cnf( $equal(X_117,join(meet(X_117,X_116),meet(X_117,complement(X_116)))) )],[refute_0_1893,refute_0_1898]) ).
cnf(refute_0_1900,plain,
complement(sk1) = join(meet(complement(sk1),one),meet(complement(one),complement(sk1))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(one)),bind(X_117,$fot(complement(sk1)))]]) ).
cnf(refute_0_1901,plain,
complement(one) = meet(complement(one),join(complement(sk1),complement(join(one,complement(sk1))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(complement(sk1))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_1902,plain,
( complement(one) != meet(complement(one),join(complement(sk1),complement(join(one,complement(sk1)))))
| join(one,complement(sk1)) != top
| complement(one) = meet(complement(one),join(complement(sk1),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(sk1),complement(join(one,complement(sk1)))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_1903,plain,
( complement(one) != meet(complement(one),join(complement(sk1),complement(join(one,complement(sk1)))))
| complement(one) = meet(complement(one),join(complement(sk1),complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(sk1)),top) )],[refute_0_908,refute_0_1902]) ).
cnf(refute_0_1904,plain,
complement(one) = meet(complement(one),join(complement(sk1),complement(top))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(sk1),complement(join(one,complement(sk1)))))) )],[refute_0_1901,refute_0_1903]) ).
cnf(refute_0_1905,plain,
( X_97 != meet(X_97,top)
| meet(X_97,top) = X_97 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_97)),bind(Y,$fot(meet(X_97,top)))]]) ).
cnf(refute_0_1906,plain,
meet(X_97,top) = X_97,
inference(resolve,[$cnf( $equal(X_97,meet(X_97,top)) )],[refute_0_917,refute_0_1905]) ).
cnf(refute_0_1907,plain,
meet(sk1,top) = sk1,
inference(subst,[],[refute_0_1906:[bind(X_97,$fot(sk1))]]) ).
cnf(refute_0_1908,plain,
complement(meet(sk1,top)) = complement(meet(sk1,top)),
introduced(tautology,[refl,[$fot(complement(meet(sk1,top)))]]) ).
cnf(refute_0_1909,plain,
( complement(meet(sk1,top)) != complement(meet(sk1,top))
| meet(sk1,top) != sk1
| complement(meet(sk1,top)) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(sk1,top)),complement(meet(sk1,top))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_1910,plain,
( meet(sk1,top) != sk1
| complement(meet(sk1,top)) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(meet(sk1,top)),complement(meet(sk1,top))) )],[refute_0_1908,refute_0_1909]) ).
cnf(refute_0_1911,plain,
complement(meet(sk1,top)) = complement(sk1),
inference(resolve,[$cnf( $equal(meet(sk1,top),sk1) )],[refute_0_1907,refute_0_1910]) ).
cnf(refute_0_1912,plain,
join(complement(sk1),complement(top)) = complement(meet(sk1,top)),
inference(subst,[],[refute_0_1144:[bind(A,$fot(sk1)),bind(B,$fot(top))]]) ).
cnf(refute_0_1913,plain,
( complement(meet(sk1,top)) != complement(sk1)
| join(complement(sk1),complement(top)) != complement(meet(sk1,top))
| join(complement(sk1),complement(top)) = complement(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(sk1),complement(top)))),bind(Y,$fot(complement(meet(sk1,top)))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_1914,plain,
( complement(meet(sk1,top)) != complement(sk1)
| join(complement(sk1),complement(top)) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),complement(top)),complement(meet(sk1,top))) )],[refute_0_1912,refute_0_1913]) ).
cnf(refute_0_1915,plain,
join(complement(sk1),complement(top)) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(meet(sk1,top)),complement(sk1)) )],[refute_0_1911,refute_0_1914]) ).
cnf(refute_0_1916,plain,
meet(complement(one),join(complement(sk1),complement(top))) = meet(complement(one),join(complement(sk1),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(sk1),complement(top))))]]) ).
cnf(refute_0_1917,plain,
( join(complement(sk1),complement(top)) != complement(sk1)
| meet(complement(one),join(complement(sk1),complement(top))) != meet(complement(one),join(complement(sk1),complement(top)))
| meet(complement(one),join(complement(sk1),complement(top))) = meet(complement(one),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(sk1),complement(top))),meet(complement(one),join(complement(sk1),complement(top)))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_1918,plain,
( join(complement(sk1),complement(top)) != complement(sk1)
| meet(complement(one),join(complement(sk1),complement(top))) = meet(complement(one),complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(sk1),complement(top))),meet(complement(one),join(complement(sk1),complement(top)))) )],[refute_0_1916,refute_0_1917]) ).
cnf(refute_0_1919,plain,
meet(complement(one),join(complement(sk1),complement(top))) = meet(complement(one),complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(sk1),complement(top)),complement(sk1)) )],[refute_0_1915,refute_0_1918]) ).
cnf(refute_0_1920,plain,
( complement(one) != meet(complement(one),join(complement(sk1),complement(top)))
| meet(complement(one),join(complement(sk1),complement(top))) != meet(complement(one),complement(sk1))
| complement(one) = meet(complement(one),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(sk1))) ),[0],$fot(meet(complement(one),join(complement(sk1),complement(top))))]]) ).
cnf(refute_0_1921,plain,
( complement(one) != meet(complement(one),join(complement(sk1),complement(top)))
| complement(one) = meet(complement(one),complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(sk1),complement(top))),meet(complement(one),complement(sk1))) )],[refute_0_1919,refute_0_1920]) ).
cnf(refute_0_1922,plain,
complement(one) = meet(complement(one),complement(sk1)),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(sk1),complement(top)))) )],[refute_0_1904,refute_0_1921]) ).
cnf(refute_0_1923,plain,
( complement(one) != meet(complement(one),complement(sk1))
| meet(complement(one),complement(sk1)) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(sk1))))]]) ).
cnf(refute_0_1924,plain,
meet(complement(one),complement(sk1)) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(sk1))) )],[refute_0_1922,refute_0_1923]) ).
cnf(refute_0_1925,plain,
( complement(sk1) != join(meet(complement(sk1),one),meet(complement(one),complement(sk1)))
| meet(complement(one),complement(sk1)) != complement(one)
| complement(sk1) = join(meet(complement(sk1),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk1),join(meet(complement(sk1),one),meet(complement(one),complement(sk1)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1926,plain,
( complement(sk1) != join(meet(complement(sk1),one),meet(complement(one),complement(sk1)))
| complement(sk1) = join(meet(complement(sk1),one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(sk1)),complement(one)) )],[refute_0_1924,refute_0_1925]) ).
cnf(refute_0_1927,plain,
complement(sk1) = join(meet(complement(sk1),one),complement(one)),
inference(resolve,[$cnf( $equal(complement(sk1),join(meet(complement(sk1),one),meet(complement(one),complement(sk1)))) )],[refute_0_1900,refute_0_1926]) ).
cnf(refute_0_1928,plain,
join(complement(one),meet(complement(sk1),one)) = join(complement(one),meet(complement(sk1),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(sk1),one)))]]) ).
cnf(refute_0_1929,plain,
( join(complement(one),meet(complement(sk1),one)) != join(complement(one),meet(complement(sk1),one))
| meet(complement(sk1),one) != meet(one,complement(sk1))
| join(complement(one),meet(complement(sk1),one)) = join(complement(one),meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(sk1),one)),join(complement(one),meet(complement(sk1),one))) ),[1,1],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_1930,plain,
( meet(complement(sk1),one) != meet(one,complement(sk1))
| join(complement(one),meet(complement(sk1),one)) = join(complement(one),meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(sk1),one)),join(complement(one),meet(complement(sk1),one))) )],[refute_0_1928,refute_0_1929]) ).
cnf(refute_0_1931,plain,
join(complement(one),meet(complement(sk1),one)) = join(complement(one),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(complement(sk1),one),meet(one,complement(sk1))) )],[refute_0_39,refute_0_1930]) ).
cnf(refute_0_1932,plain,
join(A,join(complement(one),composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))))) = join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(complement(one))),bind(X_32,$fot(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero))))))]]) ).
cnf(refute_0_1933,plain,
join(complement(one),composition(converse(converse(A)),complement(converse(A)))) = complement(one),
inference(subst,[],[refute_0_1663:[bind(X_60,$fot(converse(A)))]]) ).
cnf(refute_0_1934,plain,
( converse(converse(A)) != A
| join(complement(one),composition(converse(converse(A)),complement(converse(A)))) != complement(one)
| join(complement(one),composition(A,complement(converse(A)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(converse(A)),complement(converse(A)))),complement(one)) ),[0,1,0],$fot(A)]]) ).
cnf(refute_0_1935,plain,
( join(complement(one),composition(converse(converse(A)),complement(converse(A)))) != complement(one)
| join(complement(one),composition(A,complement(converse(A)))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_1934]) ).
cnf(refute_0_1936,plain,
join(complement(one),composition(A,complement(converse(A)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(converse(A)),complement(converse(A)))),complement(one)) )],[refute_0_1933,refute_0_1935]) ).
cnf(refute_0_1937,plain,
join(complement(one),composition(join(one,composition(zero,zero)),complement(converse(join(one,composition(zero,zero)))))) = complement(one),
inference(subst,[],[refute_0_1936:[bind(A,$fot(join(one,composition(zero,zero))))]]) ).
cnf(refute_0_1938,plain,
converse(join(one,composition(zero,zero))) = join(one,converse(composition(zero,zero))),
inference(subst,[],[refute_0_828:[bind(X_12,$fot(composition(zero,zero)))]]) ).
cnf(refute_0_1939,plain,
composition(converse(B),composition(converse(A),X_46)) = composition(composition(converse(B),converse(A)),X_46),
inference(subst,[],[composition_associativity_5:[bind(A,$fot(converse(B))),bind(B,$fot(converse(A))),bind(C,$fot(X_46))]]) ).
cnf(refute_0_1940,plain,
( converse(composition(A,B)) != composition(converse(B),converse(A))
| composition(converse(B),converse(A)) = converse(composition(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(A,B)))),bind(Y,$fot(composition(converse(B),converse(A))))]]) ).
cnf(refute_0_1941,plain,
composition(converse(B),converse(A)) = converse(composition(A,B)),
inference(resolve,[$cnf( $equal(converse(composition(A,B)),composition(converse(B),converse(A))) )],[converse_multiplicativity_10,refute_0_1940]) ).
cnf(refute_0_1942,plain,
( composition(converse(B),composition(converse(A),X_46)) != composition(composition(converse(B),converse(A)),X_46)
| composition(converse(B),converse(A)) != converse(composition(A,B))
| composition(converse(B),composition(converse(A),X_46)) = composition(converse(composition(A,B)),X_46) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(B),composition(converse(A),X_46)),composition(composition(converse(B),converse(A)),X_46)) ),[1,0],$fot(converse(composition(A,B)))]]) ).
cnf(refute_0_1943,plain,
( composition(converse(B),composition(converse(A),X_46)) != composition(composition(converse(B),converse(A)),X_46)
| composition(converse(B),composition(converse(A),X_46)) = composition(converse(composition(A,B)),X_46) ),
inference(resolve,[$cnf( $equal(composition(converse(B),converse(A)),converse(composition(A,B))) )],[refute_0_1941,refute_0_1942]) ).
cnf(refute_0_1944,plain,
composition(converse(B),composition(converse(A),X_46)) = composition(converse(composition(A,B)),X_46),
inference(resolve,[$cnf( $equal(composition(converse(B),composition(converse(A),X_46)),composition(composition(converse(B),converse(A)),X_46)) )],[refute_0_1939,refute_0_1943]) ).
cnf(refute_0_1945,plain,
composition(converse(zero),composition(converse(X_137),X_139)) = composition(converse(composition(X_137,zero)),X_139),
inference(subst,[],[refute_0_1944:[bind(A,$fot(X_137)),bind(B,$fot(zero)),bind(X_46,$fot(X_139))]]) ).
cnf(refute_0_1946,plain,
( composition(converse(zero),composition(converse(X_137),X_139)) != composition(converse(composition(X_137,zero)),X_139)
| converse(zero) != zero
| composition(zero,composition(converse(X_137),X_139)) = composition(converse(composition(X_137,zero)),X_139) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(zero),composition(converse(X_137),X_139)),composition(converse(composition(X_137,zero)),X_139)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1947,plain,
( composition(converse(zero),composition(converse(X_137),X_139)) != composition(converse(composition(X_137,zero)),X_139)
| composition(zero,composition(converse(X_137),X_139)) = composition(converse(composition(X_137,zero)),X_139) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1322,refute_0_1946]) ).
cnf(refute_0_1948,plain,
composition(zero,composition(converse(X_137),X_139)) = composition(converse(composition(X_137,zero)),X_139),
inference(resolve,[$cnf( $equal(composition(converse(zero),composition(converse(X_137),X_139)),composition(converse(composition(X_137,zero)),X_139)) )],[refute_0_1945,refute_0_1947]) ).
cnf(refute_0_1949,plain,
composition(zero,composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))) = composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top))),
inference(subst,[],[refute_0_1948:[bind(X_137,$fot(complement(composition(zero,composition(complement(one),composition(top,top)))))),bind(X_139,$fot(composition(zero,composition(complement(one),top))))]]) ).
cnf(refute_0_1950,plain,
converse(composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))))) = composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(top)),bind(B,$fot(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))))]]) ).
cnf(refute_0_1951,plain,
join(complement(top),composition(converse(X_60),complement(composition(X_60,top)))) = complement(top),
inference(subst,[],[refute_0_47:[bind(A,$fot(X_60)),bind(B,$fot(top))]]) ).
cnf(refute_0_1952,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X_60),complement(composition(X_60,top)))) != complement(top)
| join(zero,composition(converse(X_60),complement(composition(X_60,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X_60),complement(composition(X_60,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1953,plain,
( join(complement(top),composition(converse(X_60),complement(composition(X_60,top)))) != complement(top)
| join(zero,composition(converse(X_60),complement(composition(X_60,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_1952]) ).
cnf(refute_0_1954,plain,
join(zero,composition(converse(X_60),complement(composition(X_60,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X_60),complement(composition(X_60,top)))),complement(top)) )],[refute_0_1951,refute_0_1953]) ).
cnf(refute_0_1955,plain,
( complement(top) != zero
| join(zero,composition(converse(X_60),complement(composition(X_60,top)))) != complement(top)
| join(zero,composition(converse(X_60),complement(composition(X_60,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_60),complement(composition(X_60,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1956,plain,
( join(zero,composition(converse(X_60),complement(composition(X_60,top)))) != complement(top)
| join(zero,composition(converse(X_60),complement(composition(X_60,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_1955]) ).
cnf(refute_0_1957,plain,
join(zero,composition(converse(X_60),complement(composition(X_60,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_60),complement(composition(X_60,top)))),complement(top)) )],[refute_0_1954,refute_0_1956]) ).
cnf(refute_0_1958,plain,
join(zero,composition(converse(X_60),complement(composition(X_60,top)))) = composition(converse(X_60),complement(composition(X_60,top))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(composition(converse(X_60),complement(composition(X_60,top)))))]]) ).
cnf(refute_0_1959,plain,
( join(zero,composition(converse(X_60),complement(composition(X_60,top)))) != composition(converse(X_60),complement(composition(X_60,top)))
| join(zero,composition(converse(X_60),complement(composition(X_60,top)))) != zero
| composition(converse(X_60),complement(composition(X_60,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_60),complement(composition(X_60,top)))),zero) ),[0],$fot(composition(converse(X_60),complement(composition(X_60,top))))]]) ).
cnf(refute_0_1960,plain,
( join(zero,composition(converse(X_60),complement(composition(X_60,top)))) != zero
| composition(converse(X_60),complement(composition(X_60,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_60),complement(composition(X_60,top)))),composition(converse(X_60),complement(composition(X_60,top)))) )],[refute_0_1958,refute_0_1959]) ).
cnf(refute_0_1961,plain,
composition(converse(X_60),complement(composition(X_60,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_60),complement(composition(X_60,top)))),zero) )],[refute_0_1957,refute_0_1960]) ).
cnf(refute_0_1962,plain,
composition(converse(composition(zero,X_181)),complement(composition(composition(zero,X_181),top))) = zero,
inference(subst,[],[refute_0_1961:[bind(X_60,$fot(composition(zero,X_181)))]]) ).
cnf(refute_0_1963,plain,
composition(converse(X_138),composition(converse(zero),X_139)) = composition(converse(composition(zero,X_138)),X_139),
inference(subst,[],[refute_0_1944:[bind(A,$fot(zero)),bind(B,$fot(X_138)),bind(X_46,$fot(X_139))]]) ).
cnf(refute_0_1964,plain,
( composition(converse(X_138),composition(converse(zero),X_139)) != composition(converse(composition(zero,X_138)),X_139)
| converse(zero) != zero
| composition(converse(X_138),composition(zero,X_139)) = composition(converse(composition(zero,X_138)),X_139) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_138),composition(converse(zero),X_139)),composition(converse(composition(zero,X_138)),X_139)) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_1965,plain,
( composition(converse(X_138),composition(converse(zero),X_139)) != composition(converse(composition(zero,X_138)),X_139)
| composition(converse(X_138),composition(zero,X_139)) = composition(converse(composition(zero,X_138)),X_139) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1322,refute_0_1964]) ).
cnf(refute_0_1966,plain,
composition(converse(X_138),composition(zero,X_139)) = composition(converse(composition(zero,X_138)),X_139),
inference(resolve,[$cnf( $equal(composition(converse(X_138),composition(converse(zero),X_139)),composition(converse(composition(zero,X_138)),X_139)) )],[refute_0_1963,refute_0_1965]) ).
cnf(refute_0_1967,plain,
composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) = composition(converse(composition(zero,X_181)),complement(composition(composition(zero,X_181),top))),
inference(subst,[],[refute_0_1966:[bind(X_138,$fot(X_181)),bind(X_139,$fot(complement(composition(composition(zero,X_181),top))))]]) ).
cnf(refute_0_1968,plain,
( composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) != composition(converse(composition(zero,X_181)),complement(composition(composition(zero,X_181),top)))
| composition(converse(composition(zero,X_181)),complement(composition(composition(zero,X_181),top))) = composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))))),bind(Y,$fot(composition(converse(composition(zero,X_181)),complement(composition(composition(zero,X_181),top)))))]]) ).
cnf(refute_0_1969,plain,
composition(converse(composition(zero,X_181)),complement(composition(composition(zero,X_181),top))) = composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))),
inference(resolve,[$cnf( $equal(composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))),composition(converse(composition(zero,X_181)),complement(composition(composition(zero,X_181),top)))) )],[refute_0_1967,refute_0_1968]) ).
cnf(refute_0_1970,plain,
( composition(converse(composition(zero,X_181)),complement(composition(composition(zero,X_181),top))) != composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top))))
| composition(converse(composition(zero,X_181)),complement(composition(composition(zero,X_181),top))) != zero
| composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(zero,X_181)),complement(composition(composition(zero,X_181),top))),zero) ),[0],$fot(composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))))]]) ).
cnf(refute_0_1971,plain,
( composition(converse(composition(zero,X_181)),complement(composition(composition(zero,X_181),top))) != zero
| composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(composition(zero,X_181)),complement(composition(composition(zero,X_181),top))),composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top))))) )],[refute_0_1969,refute_0_1970]) ).
cnf(refute_0_1972,plain,
composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(zero,X_181)),complement(composition(composition(zero,X_181),top))),zero) )],[refute_0_1962,refute_0_1971]) ).
cnf(refute_0_1973,plain,
( composition(A,composition(B,C)) != composition(composition(A,B),C)
| composition(composition(A,B),C) = composition(A,composition(B,C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(A,composition(B,C)))),bind(Y,$fot(composition(composition(A,B),C)))]]) ).
cnf(refute_0_1974,plain,
composition(composition(A,B),C) = composition(A,composition(B,C)),
inference(resolve,[$cnf( $equal(composition(A,composition(B,C)),composition(composition(A,B),C)) )],[composition_associativity_5,refute_0_1973]) ).
cnf(refute_0_1975,plain,
composition(composition(zero,X_181),top) = composition(zero,composition(X_181,top)),
inference(subst,[],[refute_0_1974:[bind(A,$fot(zero)),bind(B,$fot(X_181)),bind(C,$fot(top))]]) ).
cnf(refute_0_1976,plain,
complement(composition(composition(zero,X_181),top)) = complement(composition(composition(zero,X_181),top)),
introduced(tautology,[refl,[$fot(complement(composition(composition(zero,X_181),top)))]]) ).
cnf(refute_0_1977,plain,
( complement(composition(composition(zero,X_181),top)) != complement(composition(composition(zero,X_181),top))
| composition(composition(zero,X_181),top) != composition(zero,composition(X_181,top))
| complement(composition(composition(zero,X_181),top)) = complement(composition(zero,composition(X_181,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(composition(zero,X_181),top)),complement(composition(composition(zero,X_181),top))) ),[1,0],$fot(composition(zero,composition(X_181,top)))]]) ).
cnf(refute_0_1978,plain,
( composition(composition(zero,X_181),top) != composition(zero,composition(X_181,top))
| complement(composition(composition(zero,X_181),top)) = complement(composition(zero,composition(X_181,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(composition(zero,X_181),top)),complement(composition(composition(zero,X_181),top))) )],[refute_0_1976,refute_0_1977]) ).
cnf(refute_0_1979,plain,
complement(composition(composition(zero,X_181),top)) = complement(composition(zero,composition(X_181,top))),
inference(resolve,[$cnf( $equal(composition(composition(zero,X_181),top),composition(zero,composition(X_181,top))) )],[refute_0_1975,refute_0_1978]) ).
cnf(refute_0_1980,plain,
composition(zero,complement(composition(composition(zero,X_181),top))) = composition(zero,complement(composition(composition(zero,X_181),top))),
introduced(tautology,[refl,[$fot(composition(zero,complement(composition(composition(zero,X_181),top))))]]) ).
cnf(refute_0_1981,plain,
( complement(composition(composition(zero,X_181),top)) != complement(composition(zero,composition(X_181,top)))
| composition(zero,complement(composition(composition(zero,X_181),top))) != composition(zero,complement(composition(composition(zero,X_181),top)))
| composition(zero,complement(composition(composition(zero,X_181),top))) = composition(zero,complement(composition(zero,composition(X_181,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,complement(composition(composition(zero,X_181),top))),composition(zero,complement(composition(composition(zero,X_181),top)))) ),[1,1],$fot(complement(composition(zero,composition(X_181,top))))]]) ).
cnf(refute_0_1982,plain,
( complement(composition(composition(zero,X_181),top)) != complement(composition(zero,composition(X_181,top)))
| composition(zero,complement(composition(composition(zero,X_181),top))) = composition(zero,complement(composition(zero,composition(X_181,top)))) ),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(composition(zero,X_181),top))),composition(zero,complement(composition(composition(zero,X_181),top)))) )],[refute_0_1980,refute_0_1981]) ).
cnf(refute_0_1983,plain,
composition(zero,complement(composition(composition(zero,X_181),top))) = composition(zero,complement(composition(zero,composition(X_181,top)))),
inference(resolve,[$cnf( $equal(complement(composition(composition(zero,X_181),top)),complement(composition(zero,composition(X_181,top)))) )],[refute_0_1979,refute_0_1982]) ).
cnf(refute_0_1984,plain,
composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) = composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))),
introduced(tautology,[refl,[$fot(composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))))]]) ).
cnf(refute_0_1985,plain,
( composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) != composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top))))
| composition(zero,complement(composition(composition(zero,X_181),top))) != composition(zero,complement(composition(zero,composition(X_181,top))))
| composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) = composition(converse(X_181),composition(zero,complement(composition(zero,composition(X_181,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))),composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top))))) ),[1,1],$fot(composition(zero,complement(composition(zero,composition(X_181,top)))))]]) ).
cnf(refute_0_1986,plain,
( composition(zero,complement(composition(composition(zero,X_181),top))) != composition(zero,complement(composition(zero,composition(X_181,top))))
| composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) = composition(converse(X_181),composition(zero,complement(composition(zero,composition(X_181,top))))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))),composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top))))) )],[refute_0_1984,refute_0_1985]) ).
cnf(refute_0_1987,plain,
composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) = composition(converse(X_181),composition(zero,complement(composition(zero,composition(X_181,top))))),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(composition(zero,X_181),top))),composition(zero,complement(composition(zero,composition(X_181,top))))) )],[refute_0_1983,refute_0_1986]) ).
cnf(refute_0_1988,plain,
( composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) != composition(converse(X_181),composition(zero,complement(composition(zero,composition(X_181,top)))))
| composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) != zero
| composition(converse(X_181),composition(zero,complement(composition(zero,composition(X_181,top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))),zero) ),[0],$fot(composition(converse(X_181),composition(zero,complement(composition(zero,composition(X_181,top))))))]]) ).
cnf(refute_0_1989,plain,
( composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))) != zero
| composition(converse(X_181),composition(zero,complement(composition(zero,composition(X_181,top))))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))),composition(converse(X_181),composition(zero,complement(composition(zero,composition(X_181,top)))))) )],[refute_0_1987,refute_0_1988]) ).
cnf(refute_0_1990,plain,
composition(converse(X_181),composition(zero,complement(composition(zero,composition(X_181,top))))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(X_181),composition(zero,complement(composition(composition(zero,X_181),top)))),zero) )],[refute_0_1972,refute_0_1989]) ).
cnf(refute_0_1991,plain,
composition(converse(composition(complement(one),top)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) = zero,
inference(subst,[],[refute_0_1990:[bind(X_181,$fot(composition(complement(one),top)))]]) ).
cnf(refute_0_1992,plain,
converse(composition(X_18,converse(A))) = composition(converse(converse(A)),converse(X_18)),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(X_18)),bind(B,$fot(converse(A)))]]) ).
cnf(refute_0_1993,plain,
( converse(composition(X_18,converse(A))) != composition(converse(converse(A)),converse(X_18))
| converse(converse(A)) != A
| converse(composition(X_18,converse(A))) = composition(A,converse(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_18,converse(A))),composition(converse(converse(A)),converse(X_18))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_1994,plain,
( converse(composition(X_18,converse(A))) != composition(converse(converse(A)),converse(X_18))
| converse(composition(X_18,converse(A))) = composition(A,converse(X_18)) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_1993]) ).
cnf(refute_0_1995,plain,
converse(composition(X_18,converse(A))) = composition(A,converse(X_18)),
inference(resolve,[$cnf( $equal(converse(composition(X_18,converse(A))),composition(converse(converse(A)),converse(X_18))) )],[refute_0_1992,refute_0_1994]) ).
cnf(refute_0_1996,plain,
converse(composition(X_18,converse(top))) = composition(top,converse(X_18)),
inference(subst,[],[refute_0_1995:[bind(A,$fot(top))]]) ).
cnf(refute_0_1997,plain,
( converse(composition(X_18,converse(top))) != composition(top,converse(X_18))
| converse(top) != top
| converse(composition(X_18,top)) = composition(top,converse(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_18,converse(top))),composition(top,converse(X_18))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_1998,plain,
( converse(composition(X_18,converse(top))) != composition(top,converse(X_18))
| converse(composition(X_18,top)) = composition(top,converse(X_18)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_1997]) ).
cnf(refute_0_1999,plain,
converse(composition(X_18,top)) = composition(top,converse(X_18)),
inference(resolve,[$cnf( $equal(converse(composition(X_18,converse(top))),composition(top,converse(X_18))) )],[refute_0_1996,refute_0_1998]) ).
cnf(refute_0_2000,plain,
converse(composition(complement(one),top)) = composition(top,converse(complement(one))),
inference(subst,[],[refute_0_1999:[bind(X_18,$fot(complement(one)))]]) ).
cnf(refute_0_2001,plain,
( converse(complement(one)) != complement(one)
| converse(composition(complement(one),top)) != composition(top,converse(complement(one)))
| converse(composition(complement(one),top)) = composition(top,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,converse(complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_2002,plain,
( converse(composition(complement(one),top)) != composition(top,converse(complement(one)))
| converse(composition(complement(one),top)) = composition(top,complement(one)) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1759,refute_0_2001]) ).
cnf(refute_0_2003,plain,
converse(composition(complement(one),top)) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,converse(complement(one)))) )],[refute_0_2000,refute_0_2002]) ).
cnf(refute_0_2004,plain,
( composition(converse(composition(complement(one),top)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) != zero
| converse(composition(complement(one),top)) != composition(top,complement(one))
| composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(complement(one),top)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))),zero) ),[0,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_2005,plain,
( composition(converse(composition(complement(one),top)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) != zero
| composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,complement(one))) )],[refute_0_2003,refute_0_2004]) ).
cnf(refute_0_2006,plain,
composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(one),top)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))),zero) )],[refute_0_1991,refute_0_2005]) ).
cnf(refute_0_2007,plain,
composition(composition(complement(one),top),top) = composition(complement(one),composition(top,top)),
inference(subst,[],[refute_0_1974:[bind(A,$fot(complement(one))),bind(B,$fot(top)),bind(C,$fot(top))]]) ).
cnf(refute_0_2008,plain,
composition(zero,composition(composition(complement(one),top),top)) = composition(zero,composition(composition(complement(one),top),top)),
introduced(tautology,[refl,[$fot(composition(zero,composition(composition(complement(one),top),top)))]]) ).
cnf(refute_0_2009,plain,
( composition(composition(complement(one),top),top) != composition(complement(one),composition(top,top))
| composition(zero,composition(composition(complement(one),top),top)) != composition(zero,composition(composition(complement(one),top),top))
| composition(zero,composition(composition(complement(one),top),top)) = composition(zero,composition(complement(one),composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,composition(composition(complement(one),top),top)),composition(zero,composition(composition(complement(one),top),top))) ),[1,1],$fot(composition(complement(one),composition(top,top)))]]) ).
cnf(refute_0_2010,plain,
( composition(composition(complement(one),top),top) != composition(complement(one),composition(top,top))
| composition(zero,composition(composition(complement(one),top),top)) = composition(zero,composition(complement(one),composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(zero,composition(composition(complement(one),top),top)),composition(zero,composition(composition(complement(one),top),top))) )],[refute_0_2008,refute_0_2009]) ).
cnf(refute_0_2011,plain,
composition(zero,composition(composition(complement(one),top),top)) = composition(zero,composition(complement(one),composition(top,top))),
inference(resolve,[$cnf( $equal(composition(composition(complement(one),top),top),composition(complement(one),composition(top,top))) )],[refute_0_2007,refute_0_2010]) ).
cnf(refute_0_2012,plain,
complement(composition(zero,composition(composition(complement(one),top),top))) = complement(composition(zero,composition(composition(complement(one),top),top))),
introduced(tautology,[refl,[$fot(complement(composition(zero,composition(composition(complement(one),top),top))))]]) ).
cnf(refute_0_2013,plain,
( complement(composition(zero,composition(composition(complement(one),top),top))) != complement(composition(zero,composition(composition(complement(one),top),top)))
| composition(zero,composition(composition(complement(one),top),top)) != composition(zero,composition(complement(one),composition(top,top)))
| complement(composition(zero,composition(composition(complement(one),top),top))) = complement(composition(zero,composition(complement(one),composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(zero,composition(composition(complement(one),top),top))),complement(composition(zero,composition(composition(complement(one),top),top)))) ),[1,0],$fot(composition(zero,composition(complement(one),composition(top,top))))]]) ).
cnf(refute_0_2014,plain,
( composition(zero,composition(composition(complement(one),top),top)) != composition(zero,composition(complement(one),composition(top,top)))
| complement(composition(zero,composition(composition(complement(one),top),top))) = complement(composition(zero,composition(complement(one),composition(top,top)))) ),
inference(resolve,[$cnf( $equal(complement(composition(zero,composition(composition(complement(one),top),top))),complement(composition(zero,composition(composition(complement(one),top),top)))) )],[refute_0_2012,refute_0_2013]) ).
cnf(refute_0_2015,plain,
complement(composition(zero,composition(composition(complement(one),top),top))) = complement(composition(zero,composition(complement(one),composition(top,top)))),
inference(resolve,[$cnf( $equal(composition(zero,composition(composition(complement(one),top),top)),composition(zero,composition(complement(one),composition(top,top)))) )],[refute_0_2011,refute_0_2014]) ).
cnf(refute_0_2016,plain,
composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))) = composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))),
introduced(tautology,[refl,[$fot(composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))]]) ).
cnf(refute_0_2017,plain,
( complement(composition(zero,composition(composition(complement(one),top),top))) != complement(composition(zero,composition(complement(one),composition(top,top))))
| composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))) != composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))
| composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))) = composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) ),[1,1],$fot(complement(composition(zero,composition(complement(one),composition(top,top)))))]]) ).
cnf(refute_0_2018,plain,
( complement(composition(zero,composition(composition(complement(one),top),top))) != complement(composition(zero,composition(complement(one),composition(top,top))))
| composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))) = composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))) ),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) )],[refute_0_2016,refute_0_2017]) ).
cnf(refute_0_2019,plain,
composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))) = composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))),
inference(resolve,[$cnf( $equal(complement(composition(zero,composition(composition(complement(one),top),top))),complement(composition(zero,composition(complement(one),composition(top,top))))) )],[refute_0_2015,refute_0_2018]) ).
cnf(refute_0_2020,plain,
composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) = composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))),
introduced(tautology,[refl,[$fot(composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))))]]) ).
cnf(refute_0_2021,plain,
( composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) != composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))
| composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))) != composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))
| composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) = composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))),composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))) ),[1,1],$fot(composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))]]) ).
cnf(refute_0_2022,plain,
( composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))) != composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))
| composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) = composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))),composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))) )],[refute_0_2020,refute_0_2021]) ).
cnf(refute_0_2023,plain,
composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) = composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))) )],[refute_0_2019,refute_0_2022]) ).
cnf(refute_0_2024,plain,
composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))) = composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))),
introduced(tautology,[refl,[$fot(composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))))]]) ).
cnf(refute_0_2025,plain,
( composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) != composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))
| composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))) != composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))))
| composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))) = composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))),composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))))) ),[1,1],$fot(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))))]]) ).
cnf(refute_0_2026,plain,
( composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) != composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))
| composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))) = composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))),composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))))) )],[refute_0_2024,refute_0_2025]) ).
cnf(refute_0_2027,plain,
composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))) = composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))),composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))) )],[refute_0_2023,refute_0_2026]) ).
cnf(refute_0_2028,plain,
composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) = composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))),
inference(subst,[],[refute_0_1974:[bind(A,$fot(top)),bind(B,$fot(complement(one))),bind(C,$fot(composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))))]]) ).
cnf(refute_0_2029,plain,
( composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) != composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))))
| composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))) != composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))))
| composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) = composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))))),bind(Y,$fot(composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))))),bind(Z,$fot(composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))))))]]) ).
cnf(refute_0_2030,plain,
( composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))) != composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))))
| composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) = composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))),composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))))) )],[refute_0_2028,refute_0_2029]) ).
cnf(refute_0_2031,plain,
composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) = composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top)))))),composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))))) )],[refute_0_2027,refute_0_2030]) ).
cnf(refute_0_2032,plain,
( composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) != composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))))
| composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) != zero
| composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))),zero) ),[0],$fot(composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))))]]) ).
cnf(refute_0_2033,plain,
( composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))) != zero
| composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))),composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))))) )],[refute_0_2031,refute_0_2032]) ).
cnf(refute_0_2034,plain,
composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))) = zero,
inference(resolve,[$cnf( $equal(composition(composition(top,complement(one)),composition(zero,complement(composition(zero,composition(composition(complement(one),top),top))))),zero) )],[refute_0_2006,refute_0_2033]) ).
cnf(refute_0_2035,plain,
( composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))) != zero
| converse(composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))))) != composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top))
| converse(zero) = composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))))),composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_2036,plain,
( converse(composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))))) != composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top))
| converse(zero) = composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),zero) )],[refute_0_2034,refute_0_2035]) ).
cnf(refute_0_2037,plain,
converse(zero) = composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))))),composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top))) )],[refute_0_1950,refute_0_2036]) ).
cnf(refute_0_2038,plain,
( converse(zero) != composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top))
| converse(zero) != zero
| zero = composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top))) ),[0],$fot(zero)]]) ).
cnf(refute_0_2039,plain,
( converse(zero) != composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top))
| zero = composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1322,refute_0_2038]) ).
cnf(refute_0_2040,plain,
converse(composition(converse(top),X_19)) = composition(converse(X_19),top),
inference(subst,[],[refute_0_58:[bind(A,$fot(top))]]) ).
cnf(refute_0_2041,plain,
( converse(composition(converse(top),X_19)) != composition(converse(X_19),top)
| converse(top) != top
| converse(composition(top,X_19)) = composition(converse(X_19),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),X_19)),composition(converse(X_19),top)) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_2042,plain,
( converse(composition(converse(top),X_19)) != composition(converse(X_19),top)
| converse(composition(top,X_19)) = composition(converse(X_19),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_2041]) ).
cnf(refute_0_2043,plain,
converse(composition(top,X_19)) = composition(converse(X_19),top),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),X_19)),composition(converse(X_19),top)) )],[refute_0_2040,refute_0_2042]) ).
cnf(refute_0_2044,plain,
converse(composition(top,complement(one))) = composition(converse(complement(one)),top),
inference(subst,[],[refute_0_2043:[bind(X_19,$fot(complement(one)))]]) ).
cnf(refute_0_2045,plain,
( converse(complement(one)) != complement(one)
| converse(composition(top,complement(one))) != composition(converse(complement(one)),top)
| converse(composition(top,complement(one))) = composition(complement(one),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(one))),composition(converse(complement(one)),top)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_2046,plain,
( converse(composition(top,complement(one))) != composition(converse(complement(one)),top)
| converse(composition(top,complement(one))) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1759,refute_0_2045]) ).
cnf(refute_0_2047,plain,
converse(composition(top,complement(one))) = composition(complement(one),top),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(converse(complement(one)),top)) )],[refute_0_2044,refute_0_2046]) ).
cnf(refute_0_2048,plain,
converse(composition(X_18,converse(complement(one)))) = composition(complement(one),converse(X_18)),
inference(subst,[],[refute_0_1995:[bind(A,$fot(complement(one)))]]) ).
cnf(refute_0_2049,plain,
( converse(complement(one)) != complement(one)
| converse(composition(X_18,converse(complement(one)))) != composition(complement(one),converse(X_18))
| converse(composition(X_18,complement(one))) = composition(complement(one),converse(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_18,converse(complement(one)))),composition(complement(one),converse(X_18))) ),[0,0,1],$fot(complement(one))]]) ).
cnf(refute_0_2050,plain,
( converse(composition(X_18,converse(complement(one)))) != composition(complement(one),converse(X_18))
| converse(composition(X_18,complement(one))) = composition(complement(one),converse(X_18)) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1759,refute_0_2049]) ).
cnf(refute_0_2051,plain,
converse(composition(X_18,complement(one))) = composition(complement(one),converse(X_18)),
inference(resolve,[$cnf( $equal(converse(composition(X_18,converse(complement(one)))),composition(complement(one),converse(X_18))) )],[refute_0_2048,refute_0_2050]) ).
cnf(refute_0_2052,plain,
( converse(composition(X_18,complement(one))) != composition(complement(one),converse(X_18))
| composition(complement(one),converse(X_18)) = converse(composition(X_18,complement(one))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_18,complement(one))))),bind(Y,$fot(composition(complement(one),converse(X_18))))]]) ).
cnf(refute_0_2053,plain,
composition(complement(one),converse(X_18)) = converse(composition(X_18,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(X_18,complement(one))),composition(complement(one),converse(X_18))) )],[refute_0_2051,refute_0_2052]) ).
cnf(refute_0_2054,plain,
composition(complement(one),converse(top)) = converse(composition(top,complement(one))),
inference(subst,[],[refute_0_2053:[bind(X_18,$fot(top))]]) ).
cnf(refute_0_2055,plain,
( composition(complement(one),converse(top)) != converse(composition(top,complement(one)))
| converse(composition(top,complement(one))) != composition(complement(one),top)
| composition(complement(one),converse(top)) = composition(complement(one),top) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(complement(one),converse(top)))),bind(Y,$fot(converse(composition(top,complement(one))))),bind(Z,$fot(composition(complement(one),top)))]]) ).
cnf(refute_0_2056,plain,
( converse(composition(top,complement(one))) != composition(complement(one),top)
| composition(complement(one),converse(top)) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(composition(complement(one),converse(top)),converse(composition(top,complement(one)))) )],[refute_0_2054,refute_0_2055]) ).
cnf(refute_0_2057,plain,
composition(complement(one),converse(top)) = composition(complement(one),top),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) )],[refute_0_2047,refute_0_2056]) ).
cnf(refute_0_2058,plain,
composition(zero,composition(complement(one),converse(top))) = composition(zero,composition(complement(one),converse(top))),
introduced(tautology,[refl,[$fot(composition(zero,composition(complement(one),converse(top))))]]) ).
cnf(refute_0_2059,plain,
( composition(complement(one),converse(top)) != composition(complement(one),top)
| composition(zero,composition(complement(one),converse(top))) != composition(zero,composition(complement(one),converse(top)))
| composition(zero,composition(complement(one),converse(top))) = composition(zero,composition(complement(one),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,composition(complement(one),converse(top))),composition(zero,composition(complement(one),converse(top)))) ),[1,1],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_2060,plain,
( composition(complement(one),converse(top)) != composition(complement(one),top)
| composition(zero,composition(complement(one),converse(top))) = composition(zero,composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(composition(zero,composition(complement(one),converse(top))),composition(zero,composition(complement(one),converse(top)))) )],[refute_0_2058,refute_0_2059]) ).
cnf(refute_0_2061,plain,
composition(zero,composition(complement(one),converse(top))) = composition(zero,composition(complement(one),top)),
inference(resolve,[$cnf( $equal(composition(complement(one),converse(top)),composition(complement(one),top)) )],[refute_0_2057,refute_0_2060]) ).
cnf(refute_0_2062,plain,
composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))) = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))))]]) ).
cnf(refute_0_2063,plain,
( composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))) != composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top))))
| composition(zero,composition(complement(one),converse(top))) != composition(zero,composition(complement(one),top))
| composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))) = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))),composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top))))) ),[1,1],$fot(composition(zero,composition(complement(one),top)))]]) ).
cnf(refute_0_2064,plain,
( composition(zero,composition(complement(one),converse(top))) != composition(zero,composition(complement(one),top))
| composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))) = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))),composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top))))) )],[refute_0_2062,refute_0_2063]) ).
cnf(refute_0_2065,plain,
composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))) = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))),
inference(resolve,[$cnf( $equal(composition(zero,composition(complement(one),converse(top))),composition(zero,composition(complement(one),top))) )],[refute_0_2061,refute_0_2064]) ).
cnf(refute_0_2066,plain,
( composition(converse(X_138),composition(zero,X_139)) != composition(converse(composition(zero,X_138)),X_139)
| composition(converse(composition(zero,X_138)),X_139) = composition(converse(X_138),composition(zero,X_139)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(converse(X_138),composition(zero,X_139)))),bind(Y,$fot(composition(converse(composition(zero,X_138)),X_139)))]]) ).
cnf(refute_0_2067,plain,
composition(converse(composition(zero,X_138)),X_139) = composition(converse(X_138),composition(zero,X_139)),
inference(resolve,[$cnf( $equal(composition(converse(X_138),composition(zero,X_139)),composition(converse(composition(zero,X_138)),X_139)) )],[refute_0_1966,refute_0_2066]) ).
cnf(refute_0_2068,plain,
composition(converse(composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))),composition(complement(one),converse(top))) = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))),
inference(subst,[],[refute_0_2067:[bind(X_138,$fot(complement(composition(zero,composition(complement(one),composition(top,top)))))),bind(X_139,$fot(composition(complement(one),converse(top))))]]) ).
cnf(refute_0_2069,plain,
composition(converse(B),composition(converse(complement(one)),X_46)) = composition(converse(composition(complement(one),B)),X_46),
inference(subst,[],[refute_0_1944:[bind(A,$fot(complement(one)))]]) ).
cnf(refute_0_2070,plain,
( composition(converse(B),composition(converse(complement(one)),X_46)) != composition(converse(composition(complement(one),B)),X_46)
| converse(complement(one)) != complement(one)
| composition(converse(B),composition(complement(one),X_46)) = composition(converse(composition(complement(one),B)),X_46) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(B),composition(converse(complement(one)),X_46)),composition(converse(composition(complement(one),B)),X_46)) ),[0,1,0],$fot(complement(one))]]) ).
cnf(refute_0_2071,plain,
( composition(converse(B),composition(converse(complement(one)),X_46)) != composition(converse(composition(complement(one),B)),X_46)
| composition(converse(B),composition(complement(one),X_46)) = composition(converse(composition(complement(one),B)),X_46) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1759,refute_0_2070]) ).
cnf(refute_0_2072,plain,
composition(converse(B),composition(complement(one),X_46)) = composition(converse(composition(complement(one),B)),X_46),
inference(resolve,[$cnf( $equal(composition(converse(B),composition(converse(complement(one)),X_46)),composition(converse(composition(complement(one),B)),X_46)) )],[refute_0_2069,refute_0_2071]) ).
cnf(refute_0_2073,plain,
( composition(converse(B),composition(complement(one),X_46)) != composition(converse(composition(complement(one),B)),X_46)
| composition(converse(composition(complement(one),B)),X_46) = composition(converse(B),composition(complement(one),X_46)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(converse(B),composition(complement(one),X_46)))),bind(Y,$fot(composition(converse(composition(complement(one),B)),X_46)))]]) ).
cnf(refute_0_2074,plain,
composition(converse(composition(complement(one),B)),X_46) = composition(converse(B),composition(complement(one),X_46)),
inference(resolve,[$cnf( $equal(composition(converse(B),composition(complement(one),X_46)),composition(converse(composition(complement(one),B)),X_46)) )],[refute_0_2072,refute_0_2073]) ).
cnf(refute_0_2075,plain,
composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) = composition(converse(composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))),composition(complement(one),converse(top))),
inference(subst,[],[refute_0_2074:[bind(B,$fot(composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),bind(X_46,$fot(converse(top)))]]) ).
cnf(refute_0_2076,plain,
( composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) != composition(converse(composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))),composition(complement(one),converse(top)))
| composition(converse(composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))),composition(complement(one),converse(top))) != composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top))))
| composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)))),bind(Y,$fot(composition(converse(composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))),composition(complement(one),converse(top))))),bind(Z,$fot(composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top))))))]]) ).
cnf(refute_0_2077,plain,
( composition(converse(composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))),composition(complement(one),converse(top))) != composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top))))
| composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)),composition(converse(composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))),composition(complement(one),converse(top)))) )],[refute_0_2075,refute_0_2076]) ).
cnf(refute_0_2078,plain,
composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))),
inference(resolve,[$cnf( $equal(composition(converse(composition(zero,complement(composition(zero,composition(complement(one),composition(top,top)))))),composition(complement(one),converse(top))),composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top))))) )],[refute_0_2068,refute_0_2077]) ).
cnf(refute_0_2079,plain,
( composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))) != composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))
| composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) != composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top))))
| composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)))),bind(Y,$fot(composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))))),bind(Z,$fot(composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))))]]) ).
cnf(refute_0_2080,plain,
( composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))) != composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))
| composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)),composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top))))) )],[refute_0_2078,refute_0_2079]) ).
cnf(refute_0_2081,plain,
composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),converse(top)))),composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))) )],[refute_0_2065,refute_0_2080]) ).
cnf(refute_0_2082,plain,
( composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)) != composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))
| zero != composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top))
| zero = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top))) ),[1],$fot(composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))))]]) ).
cnf(refute_0_2083,plain,
( zero != composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top))
| zero = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top)),composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))) )],[refute_0_2081,refute_0_2082]) ).
cnf(refute_0_2084,plain,
( converse(zero) != composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top))
| zero = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top))) )],[refute_0_2039,refute_0_2083]) ).
cnf(refute_0_2085,plain,
zero = composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(composition(complement(one),composition(zero,complement(composition(zero,composition(complement(one),composition(top,top))))))),converse(top))) )],[refute_0_2037,refute_0_2084]) ).
cnf(refute_0_2086,plain,
( zero != composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))
| composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))))]]) ).
cnf(refute_0_2087,plain,
composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))) )],[refute_0_2085,refute_0_2086]) ).
cnf(refute_0_2088,plain,
( composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))) != zero
| composition(zero,composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))) != composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top)))
| composition(zero,zero) = composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))),composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top)))) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_2089,plain,
( composition(zero,composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))) != composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top)))
| composition(zero,zero) = composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))),zero) )],[refute_0_2087,refute_0_2088]) ).
cnf(refute_0_2090,plain,
composition(zero,zero) = composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top))),
inference(resolve,[$cnf( $equal(composition(zero,composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))),composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top)))) )],[refute_0_1949,refute_0_2089]) ).
cnf(refute_0_2091,plain,
composition(converse(B),composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))) = composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top))),
inference(subst,[],[refute_0_1944:[bind(A,$fot(complement(composition(zero,composition(complement(one),composition(top,top)))))),bind(X_46,$fot(composition(zero,composition(complement(one),top))))]]) ).
cnf(refute_0_2092,plain,
( composition(converse(B),composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))) != composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top)))
| composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))) != zero
| composition(converse(B),zero) = composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(B),composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))),composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top)))) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_2093,plain,
( composition(converse(B),composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))) != composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top)))
| composition(converse(B),zero) = composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top))),zero) )],[refute_0_2087,refute_0_2092]) ).
cnf(refute_0_2094,plain,
composition(converse(B),zero) = composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top))),
inference(resolve,[$cnf( $equal(composition(converse(B),composition(converse(complement(composition(zero,composition(complement(one),composition(top,top))))),composition(zero,composition(complement(one),top)))),composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top)))) )],[refute_0_2091,refute_0_2093]) ).
cnf(refute_0_2095,plain,
converse(composition(converse(zero),X_19)) = composition(converse(X_19),zero),
inference(subst,[],[refute_0_58:[bind(A,$fot(zero))]]) ).
cnf(refute_0_2096,plain,
( converse(composition(converse(zero),X_19)) != composition(converse(X_19),zero)
| converse(zero) != zero
| converse(composition(zero,X_19)) = composition(converse(X_19),zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(zero),X_19)),composition(converse(X_19),zero)) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_2097,plain,
( converse(composition(converse(zero),X_19)) != composition(converse(X_19),zero)
| converse(composition(zero,X_19)) = composition(converse(X_19),zero) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1322,refute_0_2096]) ).
cnf(refute_0_2098,plain,
converse(composition(zero,X_19)) = composition(converse(X_19),zero),
inference(resolve,[$cnf( $equal(converse(composition(converse(zero),X_19)),composition(converse(X_19),zero)) )],[refute_0_2095,refute_0_2097]) ).
cnf(refute_0_2099,plain,
( converse(composition(zero,X_19)) != composition(converse(X_19),zero)
| composition(converse(X_19),zero) = converse(composition(zero,X_19)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(zero,X_19)))),bind(Y,$fot(composition(converse(X_19),zero)))]]) ).
cnf(refute_0_2100,plain,
composition(converse(X_19),zero) = converse(composition(zero,X_19)),
inference(resolve,[$cnf( $equal(converse(composition(zero,X_19)),composition(converse(X_19),zero)) )],[refute_0_2098,refute_0_2099]) ).
cnf(refute_0_2101,plain,
composition(converse(B),zero) = converse(composition(zero,B)),
inference(subst,[],[refute_0_2100:[bind(X_19,$fot(B))]]) ).
cnf(refute_0_2102,plain,
( composition(converse(B),zero) != composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top)))
| composition(converse(B),zero) != converse(composition(zero,B))
| converse(composition(zero,B)) = composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(B),zero),composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top)))) ),[0],$fot(converse(composition(zero,B)))]]) ).
cnf(refute_0_2103,plain,
( composition(converse(B),zero) != composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top)))
| converse(composition(zero,B)) = composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(B),zero),converse(composition(zero,B))) )],[refute_0_2101,refute_0_2102]) ).
cnf(refute_0_2104,plain,
converse(composition(zero,B)) = composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top))),
inference(resolve,[$cnf( $equal(composition(converse(B),zero),composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top)))) )],[refute_0_2094,refute_0_2103]) ).
cnf(refute_0_2105,plain,
( converse(composition(zero,B)) != composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top)))
| composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top))) = converse(composition(zero,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(zero,B)))),bind(Y,$fot(composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top)))))]]) ).
cnf(refute_0_2106,plain,
composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top))) = converse(composition(zero,B)),
inference(resolve,[$cnf( $equal(converse(composition(zero,B)),composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),B)),composition(zero,composition(complement(one),top)))) )],[refute_0_2104,refute_0_2105]) ).
cnf(refute_0_2107,plain,
composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top))) = converse(composition(zero,zero)),
inference(subst,[],[refute_0_2106:[bind(B,$fot(zero))]]) ).
cnf(refute_0_2108,plain,
( composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top))) != converse(composition(zero,zero))
| composition(zero,zero) != composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top)))
| composition(zero,zero) = converse(composition(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,zero),composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top)))) ),[1],$fot(converse(composition(zero,zero)))]]) ).
cnf(refute_0_2109,plain,
( composition(zero,zero) != composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top)))
| composition(zero,zero) = converse(composition(zero,zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top))),converse(composition(zero,zero))) )],[refute_0_2107,refute_0_2108]) ).
cnf(refute_0_2110,plain,
composition(zero,zero) = converse(composition(zero,zero)),
inference(resolve,[$cnf( $equal(composition(zero,zero),composition(converse(composition(complement(composition(zero,composition(complement(one),composition(top,top)))),zero)),composition(zero,composition(complement(one),top)))) )],[refute_0_2090,refute_0_2109]) ).
cnf(refute_0_2111,plain,
( composition(zero,zero) != converse(composition(zero,zero))
| converse(composition(zero,zero)) = composition(zero,zero) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(zero,zero))),bind(Y,$fot(converse(composition(zero,zero))))]]) ).
cnf(refute_0_2112,plain,
converse(composition(zero,zero)) = composition(zero,zero),
inference(resolve,[$cnf( $equal(composition(zero,zero),converse(composition(zero,zero))) )],[refute_0_2110,refute_0_2111]) ).
cnf(refute_0_2113,plain,
( converse(composition(zero,zero)) != composition(zero,zero)
| converse(join(one,composition(zero,zero))) != join(one,converse(composition(zero,zero)))
| converse(join(one,composition(zero,zero))) = join(one,composition(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,composition(zero,zero))),join(one,converse(composition(zero,zero)))) ),[1,1],$fot(composition(zero,zero))]]) ).
cnf(refute_0_2114,plain,
( converse(join(one,composition(zero,zero))) != join(one,converse(composition(zero,zero)))
| converse(join(one,composition(zero,zero))) = join(one,composition(zero,zero)) ),
inference(resolve,[$cnf( $equal(converse(composition(zero,zero)),composition(zero,zero)) )],[refute_0_2112,refute_0_2113]) ).
cnf(refute_0_2115,plain,
converse(join(one,composition(zero,zero))) = join(one,composition(zero,zero)),
inference(resolve,[$cnf( $equal(converse(join(one,composition(zero,zero))),join(one,converse(composition(zero,zero)))) )],[refute_0_1938,refute_0_2114]) ).
cnf(refute_0_2116,plain,
( converse(join(one,composition(zero,zero))) != join(one,composition(zero,zero))
| join(complement(one),composition(join(one,composition(zero,zero)),complement(converse(join(one,composition(zero,zero)))))) != complement(one)
| join(complement(one),composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(one,composition(zero,zero)),complement(converse(join(one,composition(zero,zero)))))),complement(one)) ),[0,1,1,0],$fot(join(one,composition(zero,zero)))]]) ).
cnf(refute_0_2117,plain,
( join(complement(one),composition(join(one,composition(zero,zero)),complement(converse(join(one,composition(zero,zero)))))) != complement(one)
| join(complement(one),composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero))))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(zero,zero))),join(one,composition(zero,zero))) )],[refute_0_2115,refute_0_2116]) ).
cnf(refute_0_2118,plain,
join(complement(one),composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero))))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(join(one,composition(zero,zero)),complement(converse(join(one,composition(zero,zero)))))),complement(one)) )],[refute_0_1937,refute_0_2117]) ).
cnf(refute_0_2119,plain,
( join(A,join(complement(one),composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))))) != join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A))
| join(complement(one),composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero))))) != complement(one)
| join(A,complement(one)) = join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(complement(one),composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))))),join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A))) ),[0,1],$fot(complement(one))]]) ).
cnf(refute_0_2120,plain,
( join(A,join(complement(one),composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))))) != join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A))
| join(A,complement(one)) = join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero))))),complement(one)) )],[refute_0_2118,refute_0_2119]) ).
cnf(refute_0_2121,plain,
join(A,complement(one)) = join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)),
inference(resolve,[$cnf( $equal(join(A,join(complement(one),composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))))),join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A))) )],[refute_0_1932,refute_0_2120]) ).
cnf(refute_0_2122,plain,
join(complement(X_62),join(complement(X_62),C)) = join(join(complement(X_62),complement(X_62)),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(complement(X_62))),bind(B,$fot(complement(X_62)))]]) ).
cnf(refute_0_2123,plain,
( join(complement(X_62),complement(X_62)) != complement(X_62)
| join(complement(X_62),join(complement(X_62),C)) != join(join(complement(X_62),complement(X_62)),C)
| join(complement(X_62),join(complement(X_62),C)) = join(complement(X_62),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_62),join(complement(X_62),C)),join(join(complement(X_62),complement(X_62)),C)) ),[1,0],$fot(complement(X_62))]]) ).
cnf(refute_0_2124,plain,
( join(complement(X_62),join(complement(X_62),C)) != join(join(complement(X_62),complement(X_62)),C)
| join(complement(X_62),join(complement(X_62),C)) = join(complement(X_62),C) ),
inference(resolve,[$cnf( $equal(join(complement(X_62),complement(X_62)),complement(X_62)) )],[refute_0_299,refute_0_2123]) ).
cnf(refute_0_2125,plain,
join(complement(X_62),join(complement(X_62),C)) = join(complement(X_62),C),
inference(resolve,[$cnf( $equal(join(complement(X_62),join(complement(X_62),C)),join(join(complement(X_62),complement(X_62)),C)) )],[refute_0_2122,refute_0_2124]) ).
cnf(refute_0_2126,plain,
join(complement(one),join(complement(one),A)) = join(complement(one),A),
inference(subst,[],[refute_0_2125:[bind(C,$fot(A)),bind(X_62,$fot(one))]]) ).
cnf(refute_0_2127,plain,
composition(one,complement(one)) = complement(one),
inference(subst,[],[refute_0_79:[bind(X_46,$fot(complement(one)))]]) ).
cnf(refute_0_2128,plain,
composition(converse(complement(composition(top,top))),composition(zero,X_139)) = composition(converse(composition(zero,complement(composition(top,top)))),X_139),
inference(subst,[],[refute_0_1966:[bind(X_138,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2129,plain,
composition(join(X_209,top),complement(composition(top,top))) = join(composition(X_209,complement(composition(top,top))),composition(top,complement(composition(top,top)))),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_209)),bind(B,$fot(top)),bind(C,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2130,plain,
join(zero,composition(converse(top),complement(composition(top,top)))) = zero,
inference(subst,[],[refute_0_1957:[bind(X_60,$fot(top))]]) ).
cnf(refute_0_2131,plain,
( converse(top) != top
| join(zero,composition(converse(top),complement(composition(top,top)))) != zero
| join(zero,composition(top,complement(composition(top,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(top),complement(composition(top,top)))),zero) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_2132,plain,
( join(zero,composition(converse(top),complement(composition(top,top)))) != zero
| join(zero,composition(top,complement(composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_2131]) ).
cnf(refute_0_2133,plain,
join(zero,composition(top,complement(composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(top),complement(composition(top,top)))),zero) )],[refute_0_2130,refute_0_2132]) ).
cnf(refute_0_2134,plain,
join(zero,composition(top,complement(composition(top,top)))) = composition(top,complement(composition(top,top))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(composition(top,complement(composition(top,top)))))]]) ).
cnf(refute_0_2135,plain,
( join(zero,composition(top,complement(composition(top,top)))) != composition(top,complement(composition(top,top)))
| join(zero,composition(top,complement(composition(top,top)))) != zero
| composition(top,complement(composition(top,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),zero) ),[0],$fot(composition(top,complement(composition(top,top))))]]) ).
cnf(refute_0_2136,plain,
( join(zero,composition(top,complement(composition(top,top)))) != zero
| composition(top,complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),composition(top,complement(composition(top,top)))) )],[refute_0_2134,refute_0_2135]) ).
cnf(refute_0_2137,plain,
composition(top,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),zero) )],[refute_0_2133,refute_0_2136]) ).
cnf(refute_0_2138,plain,
( composition(join(X_209,top),complement(composition(top,top))) != join(composition(X_209,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_209,top),complement(composition(top,top))) = join(composition(X_209,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_209,top),complement(composition(top,top))),join(composition(X_209,complement(composition(top,top))),composition(top,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2139,plain,
( composition(join(X_209,top),complement(composition(top,top))) != join(composition(X_209,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(join(X_209,top),complement(composition(top,top))) = join(composition(X_209,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_2137,refute_0_2138]) ).
cnf(refute_0_2140,plain,
composition(join(X_209,top),complement(composition(top,top))) = join(composition(X_209,complement(composition(top,top))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_209,top),complement(composition(top,top))),join(composition(X_209,complement(composition(top,top))),composition(top,complement(composition(top,top))))) )],[refute_0_2129,refute_0_2139]) ).
cnf(refute_0_2141,plain,
join(X_209,top) = top,
inference(subst,[],[refute_0_319:[bind(X_39,$fot(X_209))]]) ).
cnf(refute_0_2142,plain,
composition(join(X_209,top),complement(composition(top,top))) = composition(join(X_209,top),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(join(X_209,top),complement(composition(top,top))))]]) ).
cnf(refute_0_2143,plain,
( composition(join(X_209,top),complement(composition(top,top))) != composition(join(X_209,top),complement(composition(top,top)))
| join(X_209,top) != top
| composition(join(X_209,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_209,top),complement(composition(top,top))),composition(join(X_209,top),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2144,plain,
( join(X_209,top) != top
| composition(join(X_209,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_209,top),complement(composition(top,top))),composition(join(X_209,top),complement(composition(top,top)))) )],[refute_0_2142,refute_0_2143]) ).
cnf(refute_0_2145,plain,
composition(join(X_209,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(X_209,top),top) )],[refute_0_2141,refute_0_2144]) ).
cnf(refute_0_2146,plain,
( composition(join(X_209,top),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_209,top),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(join(X_209,top),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2147,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(join(X_209,top),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_209,top),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_2145,refute_0_2146]) ).
cnf(refute_0_2148,plain,
composition(join(X_209,top),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_2137,refute_0_2147]) ).
cnf(refute_0_2149,plain,
( composition(join(X_209,top),complement(composition(top,top))) != join(composition(X_209,complement(composition(top,top))),zero)
| composition(join(X_209,top),complement(composition(top,top))) != zero
| zero = join(composition(X_209,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_209,top),complement(composition(top,top))),join(composition(X_209,complement(composition(top,top))),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_2150,plain,
( composition(join(X_209,top),complement(composition(top,top))) != join(composition(X_209,complement(composition(top,top))),zero)
| zero = join(composition(X_209,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(X_209,top),complement(composition(top,top))),zero) )],[refute_0_2148,refute_0_2149]) ).
cnf(refute_0_2151,plain,
join(composition(X_209,complement(composition(top,top))),zero) = composition(X_209,complement(composition(top,top))),
inference(subst,[],[refute_0_940:[bind(A,$fot(composition(X_209,complement(composition(top,top)))))]]) ).
cnf(refute_0_2152,plain,
( join(composition(X_209,complement(composition(top,top))),zero) != composition(X_209,complement(composition(top,top)))
| zero != join(composition(X_209,complement(composition(top,top))),zero)
| zero = composition(X_209,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(composition(X_209,complement(composition(top,top))),zero)) ),[1],$fot(composition(X_209,complement(composition(top,top))))]]) ).
cnf(refute_0_2153,plain,
( zero != join(composition(X_209,complement(composition(top,top))),zero)
| zero = composition(X_209,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_209,complement(composition(top,top))),zero),composition(X_209,complement(composition(top,top)))) )],[refute_0_2151,refute_0_2152]) ).
cnf(refute_0_2154,plain,
( composition(join(X_209,top),complement(composition(top,top))) != join(composition(X_209,complement(composition(top,top))),zero)
| zero = composition(X_209,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(zero,join(composition(X_209,complement(composition(top,top))),zero)) )],[refute_0_2150,refute_0_2153]) ).
cnf(refute_0_2155,plain,
zero = composition(X_209,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(composition(join(X_209,top),complement(composition(top,top))),join(composition(X_209,complement(composition(top,top))),zero)) )],[refute_0_2140,refute_0_2154]) ).
cnf(refute_0_2156,plain,
zero = composition(zero,complement(composition(top,top))),
inference(subst,[],[refute_0_2155:[bind(X_209,$fot(zero))]]) ).
cnf(refute_0_2157,plain,
( zero != composition(zero,complement(composition(top,top)))
| composition(zero,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(zero,complement(composition(top,top)))))]]) ).
cnf(refute_0_2158,plain,
composition(zero,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(zero,complement(composition(top,top)))) )],[refute_0_2156,refute_0_2157]) ).
cnf(refute_0_2159,plain,
( composition(converse(complement(composition(top,top))),composition(zero,X_139)) != composition(converse(composition(zero,complement(composition(top,top)))),X_139)
| composition(zero,complement(composition(top,top))) != zero
| composition(converse(complement(composition(top,top))),composition(zero,X_139)) = composition(converse(zero),X_139) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,top))),composition(zero,X_139)),composition(converse(composition(zero,complement(composition(top,top)))),X_139)) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_2160,plain,
( composition(converse(complement(composition(top,top))),composition(zero,X_139)) != composition(converse(composition(zero,complement(composition(top,top)))),X_139)
| composition(converse(complement(composition(top,top))),composition(zero,X_139)) = composition(converse(zero),X_139) ),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(top,top))),zero) )],[refute_0_2158,refute_0_2159]) ).
cnf(refute_0_2161,plain,
composition(converse(complement(composition(top,top))),composition(zero,X_139)) = composition(converse(zero),X_139),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,top))),composition(zero,X_139)),composition(converse(composition(zero,complement(composition(top,top)))),X_139)) )],[refute_0_2128,refute_0_2160]) ).
cnf(refute_0_2162,plain,
converse(composition(converse(A),complement(composition(top,top)))) = composition(converse(complement(composition(top,top))),A),
inference(subst,[],[refute_0_58:[bind(X_19,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2163,plain,
zero = composition(converse(A),complement(composition(top,top))),
inference(subst,[],[refute_0_2155:[bind(X_209,$fot(converse(A)))]]) ).
cnf(refute_0_2164,plain,
( zero != composition(converse(A),complement(composition(top,top)))
| composition(converse(A),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(A),complement(composition(top,top)))))]]) ).
cnf(refute_0_2165,plain,
composition(converse(A),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(A),complement(composition(top,top)))) )],[refute_0_2163,refute_0_2164]) ).
cnf(refute_0_2166,plain,
( composition(converse(A),complement(composition(top,top))) != zero
| converse(composition(converse(A),complement(composition(top,top)))) != composition(converse(complement(composition(top,top))),A)
| converse(zero) = composition(converse(complement(composition(top,top))),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),complement(composition(top,top)))),composition(converse(complement(composition(top,top))),A)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_2167,plain,
( converse(composition(converse(A),complement(composition(top,top)))) != composition(converse(complement(composition(top,top))),A)
| converse(zero) = composition(converse(complement(composition(top,top))),A) ),
inference(resolve,[$cnf( $equal(composition(converse(A),complement(composition(top,top))),zero) )],[refute_0_2165,refute_0_2166]) ).
cnf(refute_0_2168,plain,
converse(zero) = composition(converse(complement(composition(top,top))),A),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),complement(composition(top,top)))),composition(converse(complement(composition(top,top))),A)) )],[refute_0_2162,refute_0_2167]) ).
cnf(refute_0_2169,plain,
( converse(zero) != composition(converse(complement(composition(top,top))),A)
| converse(zero) != zero
| zero = composition(converse(complement(composition(top,top))),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(top,top))),A)) ),[0],$fot(zero)]]) ).
cnf(refute_0_2170,plain,
( converse(zero) != composition(converse(complement(composition(top,top))),A)
| zero = composition(converse(complement(composition(top,top))),A) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1322,refute_0_2169]) ).
cnf(refute_0_2171,plain,
zero = composition(converse(complement(composition(top,top))),A),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(top,top))),A)) )],[refute_0_2168,refute_0_2170]) ).
cnf(refute_0_2172,plain,
( zero != composition(converse(complement(composition(top,top))),A)
| composition(converse(complement(composition(top,top))),A) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(top,top))),A)))]]) ).
cnf(refute_0_2173,plain,
composition(converse(complement(composition(top,top))),A) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(top,top))),A)) )],[refute_0_2171,refute_0_2172]) ).
cnf(refute_0_2174,plain,
composition(converse(complement(composition(top,top))),composition(zero,X_139)) = zero,
inference(subst,[],[refute_0_2173:[bind(A,$fot(composition(zero,X_139)))]]) ).
cnf(refute_0_2175,plain,
( composition(converse(complement(composition(top,top))),composition(zero,X_139)) != composition(converse(zero),X_139)
| composition(converse(complement(composition(top,top))),composition(zero,X_139)) != zero
| zero = composition(converse(zero),X_139) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,top))),composition(zero,X_139)),composition(converse(zero),X_139)) ),[0],$fot(zero)]]) ).
cnf(refute_0_2176,plain,
( composition(converse(complement(composition(top,top))),composition(zero,X_139)) != composition(converse(zero),X_139)
| zero = composition(converse(zero),X_139) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,top))),composition(zero,X_139)),zero) )],[refute_0_2174,refute_0_2175]) ).
cnf(refute_0_2177,plain,
composition(converse(zero),X_139) = composition(converse(zero),X_139),
introduced(tautology,[refl,[$fot(composition(converse(zero),X_139))]]) ).
cnf(refute_0_2178,plain,
( composition(converse(zero),X_139) != composition(converse(zero),X_139)
| converse(zero) != zero
| composition(converse(zero),X_139) = composition(zero,X_139) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(zero),X_139),composition(converse(zero),X_139)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2179,plain,
( converse(zero) != zero
| composition(converse(zero),X_139) = composition(zero,X_139) ),
inference(resolve,[$cnf( $equal(composition(converse(zero),X_139),composition(converse(zero),X_139)) )],[refute_0_2177,refute_0_2178]) ).
cnf(refute_0_2180,plain,
composition(converse(zero),X_139) = composition(zero,X_139),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1322,refute_0_2179]) ).
cnf(refute_0_2181,plain,
( composition(converse(zero),X_139) != composition(zero,X_139)
| zero != composition(converse(zero),X_139)
| zero = composition(zero,X_139) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(zero),X_139)) ),[1],$fot(composition(zero,X_139))]]) ).
cnf(refute_0_2182,plain,
( zero != composition(converse(zero),X_139)
| zero = composition(zero,X_139) ),
inference(resolve,[$cnf( $equal(composition(converse(zero),X_139),composition(zero,X_139)) )],[refute_0_2180,refute_0_2181]) ).
cnf(refute_0_2183,plain,
( composition(converse(complement(composition(top,top))),composition(zero,X_139)) != composition(converse(zero),X_139)
| zero = composition(zero,X_139) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(zero),X_139)) )],[refute_0_2176,refute_0_2182]) ).
cnf(refute_0_2184,plain,
zero = composition(zero,X_139),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,top))),composition(zero,X_139)),composition(converse(zero),X_139)) )],[refute_0_2161,refute_0_2183]) ).
cnf(refute_0_2185,plain,
( zero != composition(zero,X_139)
| composition(zero,X_139) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(zero,X_139)))]]) ).
cnf(refute_0_2186,plain,
composition(zero,X_139) = zero,
inference(resolve,[$cnf( $equal(zero,composition(zero,X_139)) )],[refute_0_2184,refute_0_2185]) ).
cnf(refute_0_2187,plain,
composition(zero,zero) = zero,
inference(subst,[],[refute_0_2186:[bind(X_139,$fot(zero))]]) ).
cnf(refute_0_2188,plain,
join(one,composition(zero,zero)) = join(one,composition(zero,zero)),
introduced(tautology,[refl,[$fot(join(one,composition(zero,zero)))]]) ).
cnf(refute_0_2189,plain,
( composition(zero,zero) != zero
| join(one,composition(zero,zero)) != join(one,composition(zero,zero))
| join(one,composition(zero,zero)) = join(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(zero,zero)),join(one,composition(zero,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2190,plain,
( composition(zero,zero) != zero
| join(one,composition(zero,zero)) = join(one,zero) ),
inference(resolve,[$cnf( $equal(join(one,composition(zero,zero)),join(one,composition(zero,zero))) )],[refute_0_2188,refute_0_2189]) ).
cnf(refute_0_2191,plain,
join(one,composition(zero,zero)) = join(one,zero),
inference(resolve,[$cnf( $equal(composition(zero,zero),zero) )],[refute_0_2187,refute_0_2190]) ).
cnf(refute_0_2192,plain,
( join(one,composition(zero,zero)) != join(one,zero)
| join(one,zero) != one
| join(one,composition(zero,zero)) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,composition(zero,zero)))),bind(Y,$fot(join(one,zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_2193,plain,
( join(one,zero) != one
| join(one,composition(zero,zero)) = one ),
inference(resolve,[$cnf( $equal(join(one,composition(zero,zero)),join(one,zero)) )],[refute_0_2191,refute_0_2192]) ).
cnf(refute_0_2194,plain,
join(one,composition(zero,zero)) = one,
inference(resolve,[$cnf( $equal(join(one,zero),one) )],[refute_0_941,refute_0_2193]) ).
cnf(refute_0_2195,plain,
complement(join(one,composition(zero,zero))) = complement(join(one,composition(zero,zero))),
introduced(tautology,[refl,[$fot(complement(join(one,composition(zero,zero))))]]) ).
cnf(refute_0_2196,plain,
( complement(join(one,composition(zero,zero))) != complement(join(one,composition(zero,zero)))
| join(one,composition(zero,zero)) != one
| complement(join(one,composition(zero,zero))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,composition(zero,zero))),complement(join(one,composition(zero,zero)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2197,plain,
( join(one,composition(zero,zero)) != one
| complement(join(one,composition(zero,zero))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(one,composition(zero,zero))),complement(join(one,composition(zero,zero)))) )],[refute_0_2195,refute_0_2196]) ).
cnf(refute_0_2198,plain,
complement(join(one,composition(zero,zero))) = complement(one),
inference(resolve,[$cnf( $equal(join(one,composition(zero,zero)),one) )],[refute_0_2194,refute_0_2197]) ).
cnf(refute_0_2199,plain,
composition(one,complement(join(one,composition(zero,zero)))) = composition(one,complement(join(one,composition(zero,zero)))),
introduced(tautology,[refl,[$fot(composition(one,complement(join(one,composition(zero,zero)))))]]) ).
cnf(refute_0_2200,plain,
( complement(join(one,composition(zero,zero))) != complement(one)
| composition(one,complement(join(one,composition(zero,zero)))) != composition(one,complement(join(one,composition(zero,zero))))
| composition(one,complement(join(one,composition(zero,zero)))) = composition(one,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(join(one,composition(zero,zero)))),composition(one,complement(join(one,composition(zero,zero))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_2201,plain,
( complement(join(one,composition(zero,zero))) != complement(one)
| composition(one,complement(join(one,composition(zero,zero)))) = composition(one,complement(one)) ),
inference(resolve,[$cnf( $equal(composition(one,complement(join(one,composition(zero,zero)))),composition(one,complement(join(one,composition(zero,zero))))) )],[refute_0_2199,refute_0_2200]) ).
cnf(refute_0_2202,plain,
composition(one,complement(join(one,composition(zero,zero)))) = composition(one,complement(one)),
inference(resolve,[$cnf( $equal(complement(join(one,composition(zero,zero))),complement(one)) )],[refute_0_2198,refute_0_2201]) ).
cnf(refute_0_2203,plain,
composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) = composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),
introduced(tautology,[refl,[$fot(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))))]]) ).
cnf(refute_0_2204,plain,
( composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) != composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero))))
| join(one,composition(zero,zero)) != one
| composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) = composition(one,complement(join(one,composition(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2205,plain,
( join(one,composition(zero,zero)) != one
| composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) = composition(one,complement(join(one,composition(zero,zero)))) ),
inference(resolve,[$cnf( $equal(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero))))) )],[refute_0_2203,refute_0_2204]) ).
cnf(refute_0_2206,plain,
composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) = composition(one,complement(join(one,composition(zero,zero)))),
inference(resolve,[$cnf( $equal(join(one,composition(zero,zero)),one) )],[refute_0_2194,refute_0_2205]) ).
cnf(refute_0_2207,plain,
( composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) != composition(one,complement(join(one,composition(zero,zero))))
| composition(one,complement(join(one,composition(zero,zero)))) != composition(one,complement(one))
| composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) = composition(one,complement(one)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))))),bind(Y,$fot(composition(one,complement(join(one,composition(zero,zero)))))),bind(Z,$fot(composition(one,complement(one))))]]) ).
cnf(refute_0_2208,plain,
( composition(one,complement(join(one,composition(zero,zero)))) != composition(one,complement(one))
| composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) = composition(one,complement(one)) ),
inference(resolve,[$cnf( $equal(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),composition(one,complement(join(one,composition(zero,zero))))) )],[refute_0_2206,refute_0_2207]) ).
cnf(refute_0_2209,plain,
composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) = composition(one,complement(one)),
inference(resolve,[$cnf( $equal(composition(one,complement(join(one,composition(zero,zero)))),composition(one,complement(one))) )],[refute_0_2202,refute_0_2208]) ).
cnf(refute_0_2210,plain,
( composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) != composition(one,complement(one))
| composition(one,complement(one)) != complement(one)
| composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) = complement(one) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))))),bind(Y,$fot(composition(one,complement(one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_2211,plain,
( composition(one,complement(one)) != complement(one)
| composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),composition(one,complement(one))) )],[refute_0_2209,refute_0_2210]) ).
cnf(refute_0_2212,plain,
composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) = complement(one),
inference(resolve,[$cnf( $equal(composition(one,complement(one)),complement(one)) )],[refute_0_2127,refute_0_2211]) ).
cnf(refute_0_2213,plain,
join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A) = join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A),
introduced(tautology,[refl,[$fot(join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A))]]) ).
cnf(refute_0_2214,plain,
( composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) != complement(one)
| join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A) != join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)
| join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A) = join(complement(one),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_2215,plain,
( composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))) != complement(one)
| join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A) = join(complement(one),A) ),
inference(resolve,[$cnf( $equal(join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) )],[refute_0_2213,refute_0_2214]) ).
cnf(refute_0_2216,plain,
join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A) = join(complement(one),A),
inference(resolve,[$cnf( $equal(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),complement(one)) )],[refute_0_2212,refute_0_2215]) ).
cnf(refute_0_2217,plain,
join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) = join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)),
introduced(tautology,[refl,[$fot(join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)))]]) ).
cnf(refute_0_2218,plain,
( join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) != join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A))
| join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A) != join(complement(one),A)
| join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) = join(complement(one),join(complement(one),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)),join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A))) ),[1,1],$fot(join(complement(one),A))]]) ).
cnf(refute_0_2219,plain,
( join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A) != join(complement(one),A)
| join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) = join(complement(one),join(complement(one),A)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)),join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A))) )],[refute_0_2217,refute_0_2218]) ).
cnf(refute_0_2220,plain,
join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) = join(complement(one),join(complement(one),A)),
inference(resolve,[$cnf( $equal(join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A),join(complement(one),A)) )],[refute_0_2216,refute_0_2219]) ).
cnf(refute_0_2221,plain,
( join(complement(one),join(complement(one),A)) != join(complement(one),A)
| join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) != join(complement(one),join(complement(one),A))
| join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) = join(complement(one),A) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)))),bind(Y,$fot(join(complement(one),join(complement(one),A)))),bind(Z,$fot(join(complement(one),A)))]]) ).
cnf(refute_0_2222,plain,
( join(complement(one),join(complement(one),A)) != join(complement(one),A)
| join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) = join(complement(one),A) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)),join(complement(one),join(complement(one),A))) )],[refute_0_2220,refute_0_2221]) ).
cnf(refute_0_2223,plain,
join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) = join(complement(one),A),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(one),A)),join(complement(one),A)) )],[refute_0_2126,refute_0_2222]) ).
cnf(refute_0_2224,plain,
( join(A,complement(one)) != join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A))
| join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)) != join(complement(one),A)
| join(A,complement(one)) = join(complement(one),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,complement(one)),join(complement(one),A)) ),[0],$fot(join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)))]]) ).
cnf(refute_0_2225,plain,
( join(A,complement(one)) != join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A))
| join(A,complement(one)) = join(complement(one),A) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A)),join(complement(one),A)) )],[refute_0_2223,refute_0_2224]) ).
cnf(refute_0_2226,plain,
join(A,complement(one)) = join(complement(one),A),
inference(resolve,[$cnf( $equal(join(A,complement(one)),join(complement(one),join(composition(join(one,composition(zero,zero)),complement(join(one,composition(zero,zero)))),A))) )],[refute_0_2121,refute_0_2225]) ).
cnf(refute_0_2227,plain,
join(meet(complement(sk1),one),complement(one)) = join(complement(one),meet(complement(sk1),one)),
inference(subst,[],[refute_0_2226:[bind(A,$fot(meet(complement(sk1),one)))]]) ).
cnf(refute_0_2228,plain,
( join(complement(one),meet(complement(sk1),one)) != join(complement(one),meet(one,complement(sk1)))
| join(meet(complement(sk1),one),complement(one)) != join(complement(one),meet(complement(sk1),one))
| join(meet(complement(sk1),one),complement(one)) = join(complement(one),meet(one,complement(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(sk1),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(complement(sk1),one)))),bind(Z,$fot(join(complement(one),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2229,plain,
( join(complement(one),meet(complement(sk1),one)) != join(complement(one),meet(one,complement(sk1)))
| join(meet(complement(sk1),one),complement(one)) = join(complement(one),meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),one),complement(one)),join(complement(one),meet(complement(sk1),one))) )],[refute_0_2227,refute_0_2228]) ).
cnf(refute_0_2230,plain,
join(meet(complement(sk1),one),complement(one)) = join(complement(one),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(sk1),one)),join(complement(one),meet(one,complement(sk1)))) )],[refute_0_1931,refute_0_2229]) ).
cnf(refute_0_2231,plain,
( complement(sk1) != join(meet(complement(sk1),one),complement(one))
| join(meet(complement(sk1),one),complement(one)) != join(complement(one),meet(one,complement(sk1)))
| complement(sk1) = join(complement(one),meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk1),join(complement(one),meet(one,complement(sk1)))) ),[0],$fot(join(meet(complement(sk1),one),complement(one)))]]) ).
cnf(refute_0_2232,plain,
( complement(sk1) != join(meet(complement(sk1),one),complement(one))
| complement(sk1) = join(complement(one),meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),one),complement(one)),join(complement(one),meet(one,complement(sk1)))) )],[refute_0_2230,refute_0_2231]) ).
cnf(refute_0_2233,plain,
complement(sk1) = join(complement(one),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(sk1),join(meet(complement(sk1),one),complement(one))) )],[refute_0_1927,refute_0_2232]) ).
cnf(refute_0_2234,plain,
( complement(sk1) != join(complement(one),meet(one,complement(sk1)))
| join(complement(one),meet(one,complement(sk1))) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(join(complement(one),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2235,plain,
join(complement(one),meet(one,complement(sk1))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(one),meet(one,complement(sk1)))) )],[refute_0_2233,refute_0_2234]) ).
cnf(refute_0_2236,plain,
( join(complement(one),meet(one,complement(sk1))) != complement(sk1)
| meet(one,complement(sk1)) != meet(meet(one,complement(sk1)),join(complement(one),meet(one,complement(sk1))))
| meet(one,complement(sk1)) = meet(meet(one,complement(sk1)),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(sk1)),meet(meet(one,complement(sk1)),join(complement(one),meet(one,complement(sk1))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_2237,plain,
( meet(one,complement(sk1)) != meet(meet(one,complement(sk1)),join(complement(one),meet(one,complement(sk1))))
| meet(one,complement(sk1)) = meet(meet(one,complement(sk1)),complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(sk1))),complement(sk1)) )],[refute_0_2235,refute_0_2236]) ).
cnf(refute_0_2238,plain,
meet(one,complement(sk1)) = meet(meet(one,complement(sk1)),complement(sk1)),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),meet(meet(one,complement(sk1)),join(complement(one),meet(one,complement(sk1))))) )],[refute_0_1892,refute_0_2237]) ).
cnf(refute_0_2239,plain,
meet(meet(one,complement(sk1)),complement(sk1)) = meet(complement(sk1),meet(one,complement(sk1))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(sk1))),bind(X_7,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2240,plain,
( meet(meet(one,complement(sk1)),complement(sk1)) != meet(complement(sk1),meet(one,complement(sk1)))
| meet(one,complement(sk1)) != meet(meet(one,complement(sk1)),complement(sk1))
| meet(one,complement(sk1)) = meet(complement(sk1),meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(sk1)),meet(meet(one,complement(sk1)),complement(sk1))) ),[1],$fot(meet(complement(sk1),meet(one,complement(sk1))))]]) ).
cnf(refute_0_2241,plain,
( meet(one,complement(sk1)) != meet(meet(one,complement(sk1)),complement(sk1))
| meet(one,complement(sk1)) = meet(complement(sk1),meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(sk1)),complement(sk1)),meet(complement(sk1),meet(one,complement(sk1)))) )],[refute_0_2239,refute_0_2240]) ).
cnf(refute_0_2242,plain,
meet(one,complement(sk1)) = meet(complement(sk1),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),meet(meet(one,complement(sk1)),complement(sk1))) )],[refute_0_2238,refute_0_2241]) ).
cnf(refute_0_2243,plain,
( meet(one,complement(sk1)) != meet(complement(sk1),meet(one,complement(sk1)))
| meet(complement(sk1),meet(one,complement(sk1))) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(one,complement(sk1)))),bind(Y,$fot(meet(complement(sk1),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2244,plain,
meet(complement(sk1),meet(one,complement(sk1))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),meet(complement(sk1),meet(one,complement(sk1)))) )],[refute_0_2242,refute_0_2243]) ).
cnf(refute_0_2245,plain,
complement(meet(complement(sk1),meet(one,complement(sk1)))) = complement(meet(complement(sk1),meet(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(complement(meet(complement(sk1),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2246,plain,
( complement(meet(complement(sk1),meet(one,complement(sk1)))) != complement(meet(complement(sk1),meet(one,complement(sk1))))
| meet(complement(sk1),meet(one,complement(sk1))) != meet(one,complement(sk1))
| complement(meet(complement(sk1),meet(one,complement(sk1)))) = complement(meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(sk1),meet(one,complement(sk1)))),complement(meet(complement(sk1),meet(one,complement(sk1))))) ),[1,0],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_2247,plain,
( meet(complement(sk1),meet(one,complement(sk1))) != meet(one,complement(sk1))
| complement(meet(complement(sk1),meet(one,complement(sk1)))) = complement(meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk1),meet(one,complement(sk1)))),complement(meet(complement(sk1),meet(one,complement(sk1))))) )],[refute_0_2245,refute_0_2246]) ).
cnf(refute_0_2248,plain,
complement(meet(complement(sk1),meet(one,complement(sk1)))) = complement(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(one,complement(sk1))),meet(one,complement(sk1))) )],[refute_0_2244,refute_0_2247]) ).
cnf(refute_0_2249,plain,
join(complement(complement(sk1)),complement(meet(one,complement(sk1)))) = complement(meet(complement(sk1),meet(one,complement(sk1)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(complement(sk1))),bind(B,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2250,plain,
( complement(meet(complement(sk1),meet(one,complement(sk1)))) != complement(meet(one,complement(sk1)))
| join(complement(complement(sk1)),complement(meet(one,complement(sk1)))) != complement(meet(complement(sk1),meet(one,complement(sk1))))
| join(complement(complement(sk1)),complement(meet(one,complement(sk1)))) = complement(meet(one,complement(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))),bind(Y,$fot(complement(meet(complement(sk1),meet(one,complement(sk1)))))),bind(Z,$fot(complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2251,plain,
( complement(meet(complement(sk1),meet(one,complement(sk1)))) != complement(meet(one,complement(sk1)))
| join(complement(complement(sk1)),complement(meet(one,complement(sk1)))) = complement(meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))),complement(meet(complement(sk1),meet(one,complement(sk1))))) )],[refute_0_2249,refute_0_2250]) ).
cnf(refute_0_2252,plain,
join(complement(complement(sk1)),complement(meet(one,complement(sk1)))) = complement(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk1),meet(one,complement(sk1)))),complement(meet(one,complement(sk1)))) )],[refute_0_2248,refute_0_2251]) ).
cnf(refute_0_2253,plain,
meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))) = meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2254,plain,
( join(complement(complement(sk1)),complement(meet(one,complement(sk1)))) != complement(meet(one,complement(sk1)))
| meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))) != meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))
| meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))) = meet(one,complement(meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))),meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) ),[1,1],$fot(complement(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2255,plain,
( join(complement(complement(sk1)),complement(meet(one,complement(sk1)))) != complement(meet(one,complement(sk1)))
| meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))) = meet(one,complement(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))),meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) )],[refute_0_2253,refute_0_2254]) ).
cnf(refute_0_2256,plain,
meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))) = meet(one,complement(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))),complement(meet(one,complement(sk1)))) )],[refute_0_2252,refute_0_2255]) ).
cnf(refute_0_2257,plain,
complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) = complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2258,plain,
( complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) != complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))
| meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))) != meet(one,complement(meet(one,complement(sk1))))
| complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) = complement(meet(one,complement(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))),complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))) ),[1,0],$fot(meet(one,complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2259,plain,
( meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))) != meet(one,complement(meet(one,complement(sk1))))
| complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) = complement(meet(one,complement(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))),complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))) )],[refute_0_2257,refute_0_2258]) ).
cnf(refute_0_2260,plain,
complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) = complement(meet(one,complement(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))),meet(one,complement(meet(one,complement(sk1))))) )],[refute_0_2256,refute_0_2259]) ).
cnf(refute_0_2261,plain,
join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) = complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2262,plain,
( complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) != complement(meet(one,complement(meet(one,complement(sk1)))))
| join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) != complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))
| join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) = complement(meet(one,complement(meet(one,complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))))),bind(Y,$fot(complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))))),bind(Z,$fot(complement(meet(one,complement(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2263,plain,
( complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) != complement(meet(one,complement(meet(one,complement(sk1)))))
| join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) = complement(meet(one,complement(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))),complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))) )],[refute_0_2261,refute_0_2262]) ).
cnf(refute_0_2264,plain,
join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) = complement(meet(one,complement(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))),complement(meet(one,complement(meet(one,complement(sk1)))))) )],[refute_0_2260,refute_0_2263]) ).
cnf(refute_0_2265,plain,
( complement(sk1) != join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))
| join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))) != complement(meet(one,complement(meet(one,complement(sk1)))))
| complement(sk1) = complement(meet(one,complement(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk1),complement(meet(one,complement(meet(one,complement(sk1)))))) ),[0],$fot(join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2266,plain,
( complement(sk1) != join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))
| complement(sk1) = complement(meet(one,complement(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1)))))),complement(meet(one,complement(meet(one,complement(sk1)))))) )],[refute_0_2264,refute_0_2265]) ).
cnf(refute_0_2267,plain,
complement(sk1) = complement(meet(one,complement(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(one),complement(join(complement(complement(sk1)),complement(meet(one,complement(sk1))))))) )],[refute_0_1891,refute_0_2266]) ).
cnf(refute_0_2268,plain,
( complement(sk1) != complement(meet(one,complement(meet(one,complement(sk1)))))
| complement(meet(one,complement(meet(one,complement(sk1))))) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(complement(meet(one,complement(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2269,plain,
complement(meet(one,complement(meet(one,complement(sk1))))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),complement(meet(one,complement(meet(one,complement(sk1)))))) )],[refute_0_2267,refute_0_2268]) ).
cnf(refute_0_2270,plain,
( complement(meet(one,complement(meet(one,complement(sk1))))) != complement(sk1)
| meet(one,complement(meet(one,complement(sk1)))) != complement(complement(meet(one,complement(meet(one,complement(sk1))))))
| meet(one,complement(meet(one,complement(sk1)))) = complement(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(sk1)))),complement(complement(meet(one,complement(meet(one,complement(sk1))))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_2271,plain,
( meet(one,complement(meet(one,complement(sk1)))) != complement(complement(meet(one,complement(meet(one,complement(sk1))))))
| meet(one,complement(meet(one,complement(sk1)))) = complement(complement(sk1)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,complement(sk1))))),complement(sk1)) )],[refute_0_2269,refute_0_2270]) ).
cnf(refute_0_2272,plain,
meet(one,complement(meet(one,complement(sk1)))) = complement(complement(sk1)),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(sk1)))),complement(complement(meet(one,complement(meet(one,complement(sk1))))))) )],[refute_0_1796,refute_0_2271]) ).
cnf(refute_0_2273,plain,
complement(complement(sk1)) = sk1,
inference(subst,[],[refute_0_623:[bind(X_97,$fot(sk1))]]) ).
cnf(refute_0_2274,plain,
( complement(complement(sk1)) != sk1
| meet(one,complement(meet(one,complement(sk1)))) != complement(complement(sk1))
| meet(one,complement(meet(one,complement(sk1)))) = sk1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(sk1)))),complement(complement(sk1))) ),[1],$fot(sk1)]]) ).
cnf(refute_0_2275,plain,
( meet(one,complement(meet(one,complement(sk1)))) != complement(complement(sk1))
| meet(one,complement(meet(one,complement(sk1)))) = sk1 ),
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_2273,refute_0_2274]) ).
cnf(refute_0_2276,plain,
meet(one,complement(meet(one,complement(sk1)))) = sk1,
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(sk1)))),complement(complement(sk1))) )],[refute_0_2272,refute_0_2275]) ).
cnf(refute_0_2277,plain,
complement(meet(one,complement(sk1))) = join(meet(complement(meet(one,complement(sk1))),one),meet(complement(one),complement(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(one)),bind(X_117,$fot(complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2278,plain,
complement(one) = meet(complement(one),join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_677:[bind(X_33,$fot(meet(sk1,complement(meet(one,complement(sk1)))))),bind(X_97,$fot(complement(one)))]]) ).
cnf(refute_0_2279,plain,
complement(meet(one,complement(sk1))) = join(meet(complement(meet(one,complement(sk1))),sk1),meet(complement(sk1),complement(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(sk1)),bind(X_117,$fot(complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2280,plain,
( complement(meet(one,complement(sk1))) != join(meet(complement(meet(one,complement(sk1))),sk1),meet(complement(sk1),complement(meet(one,complement(sk1)))))
| meet(complement(sk1),complement(meet(one,complement(sk1)))) != complement(one)
| complement(meet(one,complement(sk1))) = join(meet(complement(meet(one,complement(sk1))),sk1),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(sk1))),join(meet(complement(meet(one,complement(sk1))),sk1),meet(complement(sk1),complement(meet(one,complement(sk1)))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_2281,plain,
( complement(meet(one,complement(sk1))) != join(meet(complement(meet(one,complement(sk1))),sk1),meet(complement(sk1),complement(meet(one,complement(sk1)))))
| complement(meet(one,complement(sk1))) = join(meet(complement(meet(one,complement(sk1))),sk1),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),complement(meet(one,complement(sk1)))),complement(one)) )],[refute_0_1888,refute_0_2280]) ).
cnf(refute_0_2282,plain,
complement(meet(one,complement(sk1))) = join(meet(complement(meet(one,complement(sk1))),sk1),complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(meet(complement(meet(one,complement(sk1))),sk1),meet(complement(sk1),complement(meet(one,complement(sk1)))))) )],[refute_0_2279,refute_0_2281]) ).
cnf(refute_0_2283,plain,
meet(complement(meet(one,complement(sk1))),sk1) = meet(sk1,complement(meet(one,complement(sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(sk1)),bind(X_7,$fot(complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2284,plain,
join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)) = join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)))]]) ).
cnf(refute_0_2285,plain,
( join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)) != join(complement(one),meet(complement(meet(one,complement(sk1))),sk1))
| meet(complement(meet(one,complement(sk1))),sk1) != meet(sk1,complement(meet(one,complement(sk1))))
| join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)) = join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)),join(complement(one),meet(complement(meet(one,complement(sk1))),sk1))) ),[1,1],$fot(meet(sk1,complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2286,plain,
( meet(complement(meet(one,complement(sk1))),sk1) != meet(sk1,complement(meet(one,complement(sk1))))
| join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)) = join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)),join(complement(one),meet(complement(meet(one,complement(sk1))),sk1))) )],[refute_0_2284,refute_0_2285]) ).
cnf(refute_0_2287,plain,
join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)) = join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(sk1))),sk1),meet(sk1,complement(meet(one,complement(sk1))))) )],[refute_0_2283,refute_0_2286]) ).
cnf(refute_0_2288,plain,
join(meet(complement(meet(one,complement(sk1))),sk1),complement(one)) = join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)),
inference(subst,[],[refute_0_2226:[bind(A,$fot(meet(complement(meet(one,complement(sk1))),sk1)))]]) ).
cnf(refute_0_2289,plain,
( join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)) != join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))
| join(meet(complement(meet(one,complement(sk1))),sk1),complement(one)) != join(complement(one),meet(complement(meet(one,complement(sk1))),sk1))
| join(meet(complement(meet(one,complement(sk1))),sk1),complement(one)) = join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(meet(one,complement(sk1))),sk1),complement(one)))),bind(Y,$fot(join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)))),bind(Z,$fot(join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2290,plain,
( join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)) != join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))
| join(meet(complement(meet(one,complement(sk1))),sk1),complement(one)) = join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(meet(one,complement(sk1))),sk1),complement(one)),join(complement(one),meet(complement(meet(one,complement(sk1))),sk1))) )],[refute_0_2288,refute_0_2289]) ).
cnf(refute_0_2291,plain,
join(meet(complement(meet(one,complement(sk1))),sk1),complement(one)) = join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(sk1))),sk1)),join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))) )],[refute_0_2287,refute_0_2290]) ).
cnf(refute_0_2292,plain,
( complement(meet(one,complement(sk1))) != join(meet(complement(meet(one,complement(sk1))),sk1),complement(one))
| join(meet(complement(meet(one,complement(sk1))),sk1),complement(one)) != join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))
| complement(meet(one,complement(sk1))) = join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(sk1))),join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))) ),[0],$fot(join(meet(complement(meet(one,complement(sk1))),sk1),complement(one)))]]) ).
cnf(refute_0_2293,plain,
( complement(meet(one,complement(sk1))) != join(meet(complement(meet(one,complement(sk1))),sk1),complement(one))
| complement(meet(one,complement(sk1))) = join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(meet(one,complement(sk1))),sk1),complement(one)),join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))) )],[refute_0_2291,refute_0_2292]) ).
cnf(refute_0_2294,plain,
complement(meet(one,complement(sk1))) = join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(meet(complement(meet(one,complement(sk1))),sk1),complement(one))) )],[refute_0_2282,refute_0_2293]) ).
cnf(refute_0_2295,plain,
( complement(meet(one,complement(sk1))) != join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))
| join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))) = complement(meet(one,complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(meet(one,complement(sk1))))),bind(Y,$fot(join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2296,plain,
join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))) = complement(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))) )],[refute_0_2294,refute_0_2295]) ).
cnf(refute_0_2297,plain,
( complement(one) != meet(complement(one),join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))))
| join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))) != complement(meet(one,complement(sk1)))
| complement(one) = meet(complement(one),complement(meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))))) ),[1,1],$fot(complement(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2298,plain,
( complement(one) != meet(complement(one),join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))))
| complement(one) = meet(complement(one),complement(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))),complement(meet(one,complement(sk1)))) )],[refute_0_2296,refute_0_2297]) ).
cnf(refute_0_2299,plain,
complement(one) = meet(complement(one),complement(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))))) )],[refute_0_2278,refute_0_2298]) ).
cnf(refute_0_2300,plain,
( complement(one) != meet(complement(one),complement(meet(one,complement(sk1))))
| meet(complement(one),complement(meet(one,complement(sk1)))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2301,plain,
meet(complement(one),complement(meet(one,complement(sk1)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(meet(one,complement(sk1))))) )],[refute_0_2299,refute_0_2300]) ).
cnf(refute_0_2302,plain,
( complement(meet(one,complement(sk1))) != join(meet(complement(meet(one,complement(sk1))),one),meet(complement(one),complement(meet(one,complement(sk1)))))
| meet(complement(one),complement(meet(one,complement(sk1)))) != complement(one)
| complement(meet(one,complement(sk1))) = join(meet(complement(meet(one,complement(sk1))),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(sk1))),join(meet(complement(meet(one,complement(sk1))),one),meet(complement(one),complement(meet(one,complement(sk1)))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_2303,plain,
( complement(meet(one,complement(sk1))) != join(meet(complement(meet(one,complement(sk1))),one),meet(complement(one),complement(meet(one,complement(sk1)))))
| complement(meet(one,complement(sk1))) = join(meet(complement(meet(one,complement(sk1))),one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(meet(one,complement(sk1)))),complement(one)) )],[refute_0_2301,refute_0_2302]) ).
cnf(refute_0_2304,plain,
complement(meet(one,complement(sk1))) = join(meet(complement(meet(one,complement(sk1))),one),complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(meet(complement(meet(one,complement(sk1))),one),meet(complement(one),complement(meet(one,complement(sk1)))))) )],[refute_0_2277,refute_0_2303]) ).
cnf(refute_0_2305,plain,
meet(complement(meet(one,complement(sk1))),one) = meet(one,complement(meet(one,complement(sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2306,plain,
( meet(complement(meet(one,complement(sk1))),one) != meet(one,complement(meet(one,complement(sk1))))
| meet(one,complement(meet(one,complement(sk1)))) != sk1
| meet(complement(meet(one,complement(sk1))),one) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(meet(one,complement(sk1))),one))),bind(Y,$fot(meet(one,complement(meet(one,complement(sk1)))))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_2307,plain,
( meet(one,complement(meet(one,complement(sk1)))) != sk1
| meet(complement(meet(one,complement(sk1))),one) = sk1 ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(sk1))),one),meet(one,complement(meet(one,complement(sk1))))) )],[refute_0_2305,refute_0_2306]) ).
cnf(refute_0_2308,plain,
meet(complement(meet(one,complement(sk1))),one) = sk1,
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(sk1)))),sk1) )],[refute_0_2276,refute_0_2307]) ).
cnf(refute_0_2309,plain,
join(complement(one),meet(complement(meet(one,complement(sk1))),one)) = join(complement(one),meet(complement(meet(one,complement(sk1))),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(meet(one,complement(sk1))),one)))]]) ).
cnf(refute_0_2310,plain,
( join(complement(one),meet(complement(meet(one,complement(sk1))),one)) != join(complement(one),meet(complement(meet(one,complement(sk1))),one))
| meet(complement(meet(one,complement(sk1))),one) != sk1
| join(complement(one),meet(complement(meet(one,complement(sk1))),one)) = join(complement(one),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(sk1))),one)),join(complement(one),meet(complement(meet(one,complement(sk1))),one))) ),[1,1],$fot(sk1)]]) ).
cnf(refute_0_2311,plain,
( meet(complement(meet(one,complement(sk1))),one) != sk1
| join(complement(one),meet(complement(meet(one,complement(sk1))),one)) = join(complement(one),sk1) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(sk1))),one)),join(complement(one),meet(complement(meet(one,complement(sk1))),one))) )],[refute_0_2309,refute_0_2310]) ).
cnf(refute_0_2312,plain,
join(complement(one),meet(complement(meet(one,complement(sk1))),one)) = join(complement(one),sk1),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(sk1))),one),sk1) )],[refute_0_2308,refute_0_2311]) ).
cnf(refute_0_2313,plain,
( join(complement(one),meet(complement(meet(one,complement(sk1))),one)) != join(complement(one),sk1)
| join(complement(one),sk1) != join(sk1,complement(one))
| join(complement(one),meet(complement(meet(one,complement(sk1))),one)) = join(sk1,complement(one)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),meet(complement(meet(one,complement(sk1))),one)))),bind(Y,$fot(join(complement(one),sk1))),bind(Z,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_2314,plain,
( join(complement(one),sk1) != join(sk1,complement(one))
| join(complement(one),meet(complement(meet(one,complement(sk1))),one)) = join(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(sk1))),one)),join(complement(one),sk1)) )],[refute_0_2312,refute_0_2313]) ).
cnf(refute_0_2315,plain,
join(complement(one),meet(complement(meet(one,complement(sk1))),one)) = join(sk1,complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),sk1),join(sk1,complement(one))) )],[refute_0_1007,refute_0_2314]) ).
cnf(refute_0_2316,plain,
join(meet(complement(meet(one,complement(sk1))),one),complement(one)) = join(complement(one),meet(complement(meet(one,complement(sk1))),one)),
inference(subst,[],[refute_0_2226:[bind(A,$fot(meet(complement(meet(one,complement(sk1))),one)))]]) ).
cnf(refute_0_2317,plain,
( join(complement(one),meet(complement(meet(one,complement(sk1))),one)) != join(sk1,complement(one))
| join(meet(complement(meet(one,complement(sk1))),one),complement(one)) != join(complement(one),meet(complement(meet(one,complement(sk1))),one))
| join(meet(complement(meet(one,complement(sk1))),one),complement(one)) = join(sk1,complement(one)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(meet(one,complement(sk1))),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(complement(meet(one,complement(sk1))),one)))),bind(Z,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_2318,plain,
( join(complement(one),meet(complement(meet(one,complement(sk1))),one)) != join(sk1,complement(one))
| join(meet(complement(meet(one,complement(sk1))),one),complement(one)) = join(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(meet(one,complement(sk1))),one),complement(one)),join(complement(one),meet(complement(meet(one,complement(sk1))),one))) )],[refute_0_2316,refute_0_2317]) ).
cnf(refute_0_2319,plain,
join(meet(complement(meet(one,complement(sk1))),one),complement(one)) = join(sk1,complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(sk1))),one)),join(sk1,complement(one))) )],[refute_0_2315,refute_0_2318]) ).
cnf(refute_0_2320,plain,
( complement(meet(one,complement(sk1))) != join(meet(complement(meet(one,complement(sk1))),one),complement(one))
| join(meet(complement(meet(one,complement(sk1))),one),complement(one)) != join(sk1,complement(one))
| complement(meet(one,complement(sk1))) = join(sk1,complement(one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(sk1))),join(sk1,complement(one))) ),[0],$fot(join(meet(complement(meet(one,complement(sk1))),one),complement(one)))]]) ).
cnf(refute_0_2321,plain,
( complement(meet(one,complement(sk1))) != join(meet(complement(meet(one,complement(sk1))),one),complement(one))
| complement(meet(one,complement(sk1))) = join(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(meet(one,complement(sk1))),one),complement(one)),join(sk1,complement(one))) )],[refute_0_2319,refute_0_2320]) ).
cnf(refute_0_2322,plain,
complement(meet(one,complement(sk1))) = join(sk1,complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(meet(complement(meet(one,complement(sk1))),one),complement(one))) )],[refute_0_2304,refute_0_2321]) ).
cnf(refute_0_2323,plain,
meet(one,complement(meet(one,complement(sk1)))) = meet(one,complement(meet(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2324,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| meet(one,complement(meet(one,complement(sk1)))) != meet(one,complement(meet(one,complement(sk1))))
| meet(one,complement(meet(one,complement(sk1)))) = meet(one,join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(sk1)))),meet(one,complement(meet(one,complement(sk1))))) ),[1,1],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_2325,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| meet(one,complement(meet(one,complement(sk1)))) = meet(one,join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(sk1)))),meet(one,complement(meet(one,complement(sk1))))) )],[refute_0_2323,refute_0_2324]) ).
cnf(refute_0_2326,plain,
meet(one,complement(meet(one,complement(sk1)))) = meet(one,join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(sk1,complement(one))) )],[refute_0_2322,refute_0_2325]) ).
cnf(refute_0_2327,plain,
( meet(one,complement(meet(one,complement(sk1)))) != meet(one,join(sk1,complement(one)))
| meet(one,complement(meet(one,complement(sk1)))) != sk1
| meet(one,join(sk1,complement(one))) = sk1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(sk1)))),sk1) ),[0],$fot(meet(one,join(sk1,complement(one))))]]) ).
cnf(refute_0_2328,plain,
( meet(one,complement(meet(one,complement(sk1)))) != sk1
| meet(one,join(sk1,complement(one))) = sk1 ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(sk1)))),meet(one,join(sk1,complement(one)))) )],[refute_0_2326,refute_0_2327]) ).
cnf(refute_0_2329,plain,
meet(one,join(sk1,complement(one))) = sk1,
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(sk1)))),sk1) )],[refute_0_2276,refute_0_2328]) ).
cnf(refute_0_2330,plain,
complement(meet(one,join(sk1,complement(one)))) = complement(meet(one,join(sk1,complement(one)))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(sk1,complement(one)))))]]) ).
cnf(refute_0_2331,plain,
( complement(meet(one,join(sk1,complement(one)))) != complement(meet(one,join(sk1,complement(one))))
| meet(one,join(sk1,complement(one))) != sk1
| complement(meet(one,join(sk1,complement(one)))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(sk1,complement(one)))),complement(meet(one,join(sk1,complement(one))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_2332,plain,
( meet(one,join(sk1,complement(one))) != sk1
| complement(meet(one,join(sk1,complement(one)))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(sk1,complement(one)))),complement(meet(one,join(sk1,complement(one))))) )],[refute_0_2330,refute_0_2331]) ).
cnf(refute_0_2333,plain,
complement(meet(one,join(sk1,complement(one)))) = complement(sk1),
inference(resolve,[$cnf( $equal(meet(one,join(sk1,complement(one))),sk1) )],[refute_0_2329,refute_0_2332]) ).
cnf(refute_0_2334,plain,
converse(complement(meet(one,join(sk1,complement(one))))) = converse(complement(meet(one,join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(converse(complement(meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_2335,plain,
( complement(meet(one,join(sk1,complement(one)))) != complement(sk1)
| converse(complement(meet(one,join(sk1,complement(one))))) != converse(complement(meet(one,join(sk1,complement(one)))))
| converse(complement(meet(one,join(sk1,complement(one))))) = converse(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,join(sk1,complement(one))))),converse(complement(meet(one,join(sk1,complement(one)))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_2336,plain,
( complement(meet(one,join(sk1,complement(one)))) != complement(sk1)
| converse(complement(meet(one,join(sk1,complement(one))))) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,join(sk1,complement(one))))),converse(complement(meet(one,join(sk1,complement(one)))))) )],[refute_0_2334,refute_0_2335]) ).
cnf(refute_0_2337,plain,
converse(complement(meet(one,join(sk1,complement(one))))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(complement(meet(one,join(sk1,complement(one)))),complement(sk1)) )],[refute_0_2333,refute_0_2336]) ).
cnf(refute_0_2338,plain,
complement(converse(complement(meet(one,join(sk1,complement(one)))))) = complement(converse(complement(meet(one,join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_2339,plain,
( complement(converse(complement(meet(one,join(sk1,complement(one)))))) != complement(converse(complement(meet(one,join(sk1,complement(one))))))
| converse(complement(meet(one,join(sk1,complement(one))))) != converse(complement(sk1))
| complement(converse(complement(meet(one,join(sk1,complement(one)))))) = complement(converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(converse(complement(meet(one,join(sk1,complement(one))))))) ),[1,0],$fot(converse(complement(sk1)))]]) ).
cnf(refute_0_2340,plain,
( converse(complement(meet(one,join(sk1,complement(one))))) != converse(complement(sk1))
| complement(converse(complement(meet(one,join(sk1,complement(one)))))) = complement(converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(converse(complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_2338,refute_0_2339]) ).
cnf(refute_0_2341,plain,
complement(converse(complement(meet(one,join(sk1,complement(one)))))) = complement(converse(complement(sk1))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,join(sk1,complement(one))))),converse(complement(sk1))) )],[refute_0_2337,refute_0_2340]) ).
cnf(refute_0_2342,plain,
converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))) = converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2343,plain,
( complement(converse(complement(meet(one,join(sk1,complement(one)))))) != complement(converse(complement(sk1)))
| converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))) != converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))
| converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))) = converse(complement(converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) ),[1,0],$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_2344,plain,
( complement(converse(complement(meet(one,join(sk1,complement(one)))))) != complement(converse(complement(sk1)))
| converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))) = converse(complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) )],[refute_0_2342,refute_0_2343]) ).
cnf(refute_0_2345,plain,
converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))) = converse(complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(converse(complement(sk1)))) )],[refute_0_2341,refute_0_2344]) ).
cnf(refute_0_2346,plain,
join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2347,plain,
( converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))) != converse(complement(converse(complement(sk1))))
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) != join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))))
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))),join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))))) ),[1,1],$fot(converse(complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_2348,plain,
( converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))) != converse(complement(converse(complement(sk1))))
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))),join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))))) )],[refute_0_2346,refute_0_2347]) ).
cnf(refute_0_2349,plain,
join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,join(sk1,complement(one))))))),converse(complement(converse(complement(sk1))))) )],[refute_0_2345,refute_0_2348]) ).
cnf(refute_0_2350,plain,
( join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) != join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1)))))
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) != one
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))),one) ),[0],$fot(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_2351,plain,
( join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))) != one
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))) = one ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))),join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1)))))) )],[refute_0_2349,refute_0_2350]) ).
cnf(refute_0_2352,plain,
join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))) = one,
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(meet(one,join(sk1,complement(one)))))))),one) )],[refute_0_1795,refute_0_2351]) ).
cnf(refute_0_2353,plain,
meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) = complement(complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2354,plain,
join(sk1,complement(one)) = join(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(join(sk1,complement(one)))),bind(B,$fot(complement(meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_2355,plain,
( join(sk1,complement(one)) != join(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))
| meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))) != complement(one)
| join(sk1,complement(one)) = join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(one)),join(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_2356,plain,
( join(sk1,complement(one)) != join(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))
| join(sk1,complement(one)) = join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),complement(one)) )],[refute_0_1692,refute_0_2355]) ).
cnf(refute_0_2357,plain,
join(sk1,complement(one)) = join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(one)),join(meet(join(sk1,complement(one)),complement(meet(one,join(sk1,complement(one))))),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))) )],[refute_0_2354,refute_0_2356]) ).
cnf(refute_0_2358,plain,
join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))) = complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(join(sk1,complement(one)))),bind(B,$fot(meet(one,join(sk1,complement(one)))))]]) ).
cnf(refute_0_2359,plain,
meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))) = meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_2360,plain,
( join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))) != complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))
| meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))) != meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))
| meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))) = meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))),meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) ),[1,1],$fot(complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_2361,plain,
( join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))) != complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))
| meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))) = meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))),meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_2359,refute_0_2360]) ).
cnf(refute_0_2362,plain,
meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))) = meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))),complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) )],[refute_0_2358,refute_0_2361]) ).
cnf(refute_0_2363,plain,
complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) = complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2364,plain,
( complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) != complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))
| meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))) != meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))
| complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) = complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))),complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))) ),[1,0],$fot(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_2365,plain,
( meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))) != meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))
| complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) = complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))),complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))) )],[refute_0_2363,refute_0_2364]) ).
cnf(refute_0_2366,plain,
complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) = complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))),meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))) )],[refute_0_2362,refute_0_2365]) ).
cnf(refute_0_2367,plain,
join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) = complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_2368,plain,
( complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) != complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))))
| join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) != complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))
| join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) = complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))))),bind(Y,$fot(complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))))),bind(Z,$fot(complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2369,plain,
( complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) != complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))))
| join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) = complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))),complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))) )],[refute_0_2367,refute_0_2368]) ).
cnf(refute_0_2370,plain,
join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) = complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))),complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))))) )],[refute_0_2366,refute_0_2369]) ).
cnf(refute_0_2371,plain,
( join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))) != complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))))
| join(sk1,complement(one)) != join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))
| join(sk1,complement(one)) = complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(one)),join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))) ),[1],$fot(complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2372,plain,
( join(sk1,complement(one)) != join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))
| join(sk1,complement(one)) = complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one))))))),complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))))) )],[refute_0_2370,refute_0_2371]) ).
cnf(refute_0_2373,plain,
join(sk1,complement(one)) = complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(one)),join(complement(one),complement(join(complement(join(sk1,complement(one))),complement(meet(one,join(sk1,complement(one)))))))) )],[refute_0_2357,refute_0_2372]) ).
cnf(refute_0_2374,plain,
( join(sk1,complement(one)) != complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))))
| complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))) = join(sk1,complement(one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,complement(one)))),bind(Y,$fot(complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2375,plain,
complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))) = join(sk1,complement(one)),
inference(resolve,[$cnf( $equal(join(sk1,complement(one)),complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))))) )],[refute_0_2373,refute_0_2374]) ).
cnf(refute_0_2376,plain,
( complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))) != join(sk1,complement(one))
| meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) != complement(complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))))
| meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) = complement(join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))),complement(complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))))) ),[1,0],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_2377,plain,
( meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) != complement(complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))))
| meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) = complement(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))),join(sk1,complement(one))) )],[refute_0_2375,refute_0_2376]) ).
cnf(refute_0_2378,plain,
meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) = complement(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))),complement(complement(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))))) )],[refute_0_2353,refute_0_2377]) ).
cnf(refute_0_2379,plain,
( X_97 != meet(X_97,join(X_97,X_33))
| meet(X_97,join(X_97,X_33)) = X_97 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_97)),bind(Y,$fot(meet(X_97,join(X_97,X_33))))]]) ).
cnf(refute_0_2380,plain,
meet(X_97,join(X_97,X_33)) = X_97,
inference(resolve,[$cnf( $equal(X_97,meet(X_97,join(X_97,X_33))) )],[refute_0_677,refute_0_2379]) ).
cnf(refute_0_2381,plain,
meet(sk1,join(sk1,complement(one))) = sk1,
inference(subst,[],[refute_0_2380:[bind(X_33,$fot(complement(one))),bind(X_97,$fot(sk1))]]) ).
cnf(refute_0_2382,plain,
meet(join(sk1,complement(one)),sk1) = meet(sk1,join(sk1,complement(one))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(sk1)),bind(X_7,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_2383,plain,
( meet(join(sk1,complement(one)),sk1) != meet(sk1,join(sk1,complement(one)))
| meet(sk1,join(sk1,complement(one))) != sk1
| meet(join(sk1,complement(one)),sk1) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(sk1,complement(one)),sk1))),bind(Y,$fot(meet(sk1,join(sk1,complement(one))))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_2384,plain,
( meet(sk1,join(sk1,complement(one))) != sk1
| meet(join(sk1,complement(one)),sk1) = sk1 ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),sk1),meet(sk1,join(sk1,complement(one)))) )],[refute_0_2382,refute_0_2383]) ).
cnf(refute_0_2385,plain,
meet(join(sk1,complement(one)),sk1) = sk1,
inference(resolve,[$cnf( $equal(meet(sk1,join(sk1,complement(one))),sk1) )],[refute_0_2381,refute_0_2384]) ).
cnf(refute_0_2386,plain,
meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))) = meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))]]) ).
cnf(refute_0_2387,plain,
( meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))) != meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))
| meet(one,join(sk1,complement(one))) != sk1
| meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))) = meet(join(sk1,complement(one)),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))),meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))) ),[1,1],$fot(sk1)]]) ).
cnf(refute_0_2388,plain,
( meet(one,join(sk1,complement(one))) != sk1
| meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))) = meet(join(sk1,complement(one)),sk1) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))),meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))) )],[refute_0_2386,refute_0_2387]) ).
cnf(refute_0_2389,plain,
meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))) = meet(join(sk1,complement(one)),sk1),
inference(resolve,[$cnf( $equal(meet(one,join(sk1,complement(one))),sk1) )],[refute_0_2329,refute_0_2388]) ).
cnf(refute_0_2390,plain,
( meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))) != meet(join(sk1,complement(one)),sk1)
| meet(join(sk1,complement(one)),sk1) != sk1
| meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))),bind(Y,$fot(meet(join(sk1,complement(one)),sk1))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_2391,plain,
( meet(join(sk1,complement(one)),sk1) != sk1
| meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))) = sk1 ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))),meet(join(sk1,complement(one)),sk1)) )],[refute_0_2389,refute_0_2390]) ).
cnf(refute_0_2392,plain,
meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))) = sk1,
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),sk1),sk1) )],[refute_0_2385,refute_0_2391]) ).
cnf(refute_0_2393,plain,
complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))) = complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_2394,plain,
( complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))) != complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))
| meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))) != sk1
| complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))),complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_2395,plain,
( meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))) != sk1
| complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))),complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) )],[refute_0_2393,refute_0_2394]) ).
cnf(refute_0_2396,plain,
complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))) = complement(sk1),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))),sk1) )],[refute_0_2392,refute_0_2395]) ).
cnf(refute_0_2397,plain,
meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) = meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_2398,plain,
( complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))) != complement(sk1)
| meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) != meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))
| meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) = meet(one,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))),meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_2399,plain,
( complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))) != complement(sk1)
| meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))),meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))))) )],[refute_0_2397,refute_0_2398]) ).
cnf(refute_0_2400,plain,
meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one))))),complement(sk1)) )],[refute_0_2396,refute_0_2399]) ).
cnf(refute_0_2401,plain,
( meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) != complement(join(sk1,complement(one)))
| meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) != meet(one,complement(sk1))
| meet(one,complement(sk1)) = complement(join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))),complement(join(sk1,complement(one)))) ),[0],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_2402,plain,
( meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))) != complement(join(sk1,complement(one)))
| meet(one,complement(sk1)) = complement(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))),meet(one,complement(sk1))) )],[refute_0_2400,refute_0_2401]) ).
cnf(refute_0_2403,plain,
meet(one,complement(sk1)) = complement(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(join(sk1,complement(one)),meet(one,join(sk1,complement(one)))))),complement(join(sk1,complement(one)))) )],[refute_0_2378,refute_0_2402]) ).
cnf(refute_0_2404,plain,
( meet(one,complement(sk1)) != complement(join(sk1,complement(one)))
| complement(join(sk1,complement(one))) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(one,complement(sk1)))),bind(Y,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_2405,plain,
complement(join(sk1,complement(one))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),complement(join(sk1,complement(one)))) )],[refute_0_2403,refute_0_2404]) ).
cnf(refute_0_2406,plain,
join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))) = join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_2407,plain,
( complement(join(sk1,complement(one))) != meet(one,complement(sk1))
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))) != join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1)))))
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))) = join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))),join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1)))))) ),[1,0],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_2408,plain,
( complement(join(sk1,complement(one))) != meet(one,complement(sk1))
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))) = join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))),join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1)))))) )],[refute_0_2406,refute_0_2407]) ).
cnf(refute_0_2409,plain,
join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))) = join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(one))),meet(one,complement(sk1))) )],[refute_0_2405,refute_0_2408]) ).
cnf(refute_0_2410,plain,
( join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))) != join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1)))))
| join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))) != one
| join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))),one) ),[0],$fot(join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_2411,plain,
( join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))) != one
| join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))) = one ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))),join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1)))))) )],[refute_0_2409,refute_0_2410]) ).
cnf(refute_0_2412,plain,
join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))) = one,
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(converse(complement(sk1))))),one) )],[refute_0_2352,refute_0_2411]) ).
cnf(refute_0_2413,plain,
( converse(complement(converse(complement(sk1)))) != meet(converse(complement(converse(complement(sk1)))),join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))))
| join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))) != one
| converse(complement(converse(complement(sk1)))) = meet(converse(complement(converse(complement(sk1)))),one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(sk1)))),meet(converse(complement(converse(complement(sk1)))),join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_2414,plain,
( converse(complement(converse(complement(sk1)))) != meet(converse(complement(converse(complement(sk1)))),join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))))
| converse(complement(converse(complement(sk1)))) = meet(converse(complement(converse(complement(sk1)))),one) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))),one) )],[refute_0_2412,refute_0_2413]) ).
cnf(refute_0_2415,plain,
converse(complement(converse(complement(sk1)))) = meet(converse(complement(converse(complement(sk1)))),one),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(sk1)))),meet(converse(complement(converse(complement(sk1)))),join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))))) )],[refute_0_1584,refute_0_2414]) ).
cnf(refute_0_2416,plain,
meet(converse(complement(converse(complement(sk1)))),one) = meet(one,converse(complement(converse(complement(sk1))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(converse(complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_2417,plain,
( converse(complement(converse(complement(sk1)))) != meet(converse(complement(converse(complement(sk1)))),one)
| meet(converse(complement(converse(complement(sk1)))),one) != meet(one,converse(complement(converse(complement(sk1)))))
| converse(complement(converse(complement(sk1)))) = meet(one,converse(complement(converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(complement(sk1)))),meet(one,converse(complement(converse(complement(sk1)))))) ),[0],$fot(meet(converse(complement(converse(complement(sk1)))),one))]]) ).
cnf(refute_0_2418,plain,
( converse(complement(converse(complement(sk1)))) != meet(converse(complement(converse(complement(sk1)))),one)
| converse(complement(converse(complement(sk1)))) = meet(one,converse(complement(converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(sk1)))),one),meet(one,converse(complement(converse(complement(sk1)))))) )],[refute_0_2416,refute_0_2417]) ).
cnf(refute_0_2419,plain,
converse(complement(converse(complement(sk1)))) = meet(one,converse(complement(converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(sk1)))),meet(converse(complement(converse(complement(sk1)))),one)) )],[refute_0_2415,refute_0_2418]) ).
cnf(refute_0_2420,plain,
( converse(complement(converse(complement(sk1)))) != meet(one,converse(complement(converse(complement(sk1)))))
| meet(one,converse(complement(converse(complement(sk1))))) = converse(complement(converse(complement(sk1)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(converse(complement(sk1)))))),bind(Y,$fot(meet(one,converse(complement(converse(complement(sk1)))))))]]) ).
cnf(refute_0_2421,plain,
meet(one,converse(complement(converse(complement(sk1))))) = converse(complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(sk1)))),meet(one,converse(complement(converse(complement(sk1)))))) )],[refute_0_2419,refute_0_2420]) ).
cnf(refute_0_2422,plain,
( converse(complement(converse(complement(sk1)))) != join(meet(one,converse(complement(converse(complement(sk1))))),complement(join(complement(converse(complement(converse(complement(sk1))))),one)))
| meet(one,converse(complement(converse(complement(sk1))))) != converse(complement(converse(complement(sk1))))
| converse(complement(converse(complement(sk1)))) = join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(sk1)))),join(meet(one,converse(complement(converse(complement(sk1))))),complement(join(complement(converse(complement(converse(complement(sk1))))),one)))) ),[1,0],$fot(converse(complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_2423,plain,
( converse(complement(converse(complement(sk1)))) != join(meet(one,converse(complement(converse(complement(sk1))))),complement(join(complement(converse(complement(converse(complement(sk1))))),one)))
| converse(complement(converse(complement(sk1)))) = join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(converse(complement(sk1))))),converse(complement(converse(complement(sk1))))) )],[refute_0_2421,refute_0_2422]) ).
cnf(refute_0_2424,plain,
converse(complement(converse(complement(sk1)))) = join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(sk1)))),join(meet(one,converse(complement(converse(complement(sk1))))),complement(join(complement(converse(complement(converse(complement(sk1))))),one)))) )],[refute_0_1583,refute_0_2423]) ).
cnf(refute_0_2425,plain,
join(complement(converse(complement(converse(complement(sk1))))),one) = join(one,complement(converse(complement(converse(complement(sk1)))))),
inference(subst,[],[refute_0_1401:[bind(A,$fot(complement(converse(complement(converse(complement(sk1)))))))]]) ).
cnf(refute_0_2426,plain,
complement(join(complement(converse(complement(converse(complement(sk1))))),one)) = complement(join(complement(converse(complement(converse(complement(sk1))))),one)),
introduced(tautology,[refl,[$fot(complement(join(complement(converse(complement(converse(complement(sk1))))),one)))]]) ).
cnf(refute_0_2427,plain,
( complement(join(complement(converse(complement(converse(complement(sk1))))),one)) != complement(join(complement(converse(complement(converse(complement(sk1))))),one))
| join(complement(converse(complement(converse(complement(sk1))))),one) != join(one,complement(converse(complement(converse(complement(sk1))))))
| complement(join(complement(converse(complement(converse(complement(sk1))))),one)) = complement(join(one,complement(converse(complement(converse(complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(converse(complement(converse(complement(sk1))))),one)),complement(join(complement(converse(complement(converse(complement(sk1))))),one))) ),[1,0],$fot(join(one,complement(converse(complement(converse(complement(sk1)))))))]]) ).
cnf(refute_0_2428,plain,
( join(complement(converse(complement(converse(complement(sk1))))),one) != join(one,complement(converse(complement(converse(complement(sk1))))))
| complement(join(complement(converse(complement(converse(complement(sk1))))),one)) = complement(join(one,complement(converse(complement(converse(complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(converse(complement(converse(complement(sk1))))),one)),complement(join(complement(converse(complement(converse(complement(sk1))))),one))) )],[refute_0_2426,refute_0_2427]) ).
cnf(refute_0_2429,plain,
complement(join(complement(converse(complement(converse(complement(sk1))))),one)) = complement(join(one,complement(converse(complement(converse(complement(sk1))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(sk1))))),one),join(one,complement(converse(complement(converse(complement(sk1))))))) )],[refute_0_2425,refute_0_2428]) ).
cnf(refute_0_2430,plain,
join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))) = join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))),
introduced(tautology,[refl,[$fot(join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))))]]) ).
cnf(refute_0_2431,plain,
( complement(join(complement(converse(complement(converse(complement(sk1))))),one)) != complement(join(one,complement(converse(complement(converse(complement(sk1)))))))
| join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))) != join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one)))
| join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))) = join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))),join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one)))) ),[1,1],$fot(complement(join(one,complement(converse(complement(converse(complement(sk1))))))))]]) ).
cnf(refute_0_2432,plain,
( complement(join(complement(converse(complement(converse(complement(sk1))))),one)) != complement(join(one,complement(converse(complement(converse(complement(sk1)))))))
| join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))) = join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))),join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one)))) )],[refute_0_2430,refute_0_2431]) ).
cnf(refute_0_2433,plain,
join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))) = join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(converse(complement(converse(complement(sk1))))),one)),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) )],[refute_0_2429,refute_0_2432]) ).
cnf(refute_0_2434,plain,
( converse(complement(converse(complement(sk1)))) != join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one)))
| join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))) != join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1))))))))
| converse(complement(converse(complement(sk1)))) = join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(complement(sk1)))),join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1))))))))) ),[0],$fot(join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))))]]) ).
cnf(refute_0_2435,plain,
( converse(complement(converse(complement(sk1)))) != join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one)))
| converse(complement(converse(complement(sk1)))) = join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one))),join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1))))))))) )],[refute_0_2433,refute_0_2434]) ).
cnf(refute_0_2436,plain,
converse(complement(converse(complement(sk1)))) = join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(sk1)))),join(converse(complement(converse(complement(sk1)))),complement(join(complement(converse(complement(converse(complement(sk1))))),one)))) )],[refute_0_2424,refute_0_2435]) ).
cnf(refute_0_2437,plain,
( converse(complement(converse(complement(sk1)))) != join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1))))))))
| join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) = converse(complement(converse(complement(sk1)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(converse(complement(sk1)))))),bind(Y,$fot(join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1))))))))))]]) ).
cnf(refute_0_2438,plain,
join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) = converse(complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(sk1)))),join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1))))))))) )],[refute_0_2436,refute_0_2437]) ).
cnf(refute_0_2439,plain,
( join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) != converse(complement(converse(complement(sk1))))
| join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) != join(one,join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))
| join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) = join(one,converse(complement(converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))),join(one,join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) ),[1,1],$fot(converse(complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_2440,plain,
( join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) != join(one,join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))
| join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) = join(one,converse(complement(converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),converse(complement(converse(complement(sk1))))) )],[refute_0_2438,refute_0_2439]) ).
cnf(refute_0_2441,plain,
join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) = join(one,converse(complement(converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))),join(one,join(converse(complement(converse(complement(sk1)))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) )],[refute_0_1582,refute_0_2440]) ).
cnf(refute_0_2442,plain,
join(one,join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))) = join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))]]) ).
cnf(refute_0_2443,plain,
join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one) = join(one,join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))),
inference(subst,[],[refute_0_1401:[bind(A,$fot(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))))]]) ).
cnf(refute_0_2444,plain,
( join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one) != join(one,join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))
| join(one,join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))) != join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))
| join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one) = join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one))),bind(Y,$fot(join(one,join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))))),bind(Z,$fot(join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))))]]) ).
cnf(refute_0_2445,plain,
( join(one,join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))) != join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))
| join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one) = join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one),join(one,join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) )],[refute_0_2443,refute_0_2444]) ).
cnf(refute_0_2446,plain,
join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one) = join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))),join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))) )],[refute_0_2442,refute_0_2445]) ).
cnf(refute_0_2447,plain,
converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) = join(A,converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))),
inference(subst,[],[refute_0_705:[bind(X_12,$fot(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2448,plain,
join(sk1,join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))) = join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_1591:[bind(C,$fot(converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2449,plain,
converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = converse(join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(converse(complement(join(sk1,complement(one)))))),bind(X_12,$fot(meet(one,complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2450,plain,
one = join(meet(one,converse(complement(join(sk1,complement(one))))),meet(one,complement(converse(complement(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_699:[bind(B,$fot(converse(complement(join(sk1,complement(one)))))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_2451,plain,
( meet(one,converse(complement(join(sk1,complement(one))))) != converse(complement(join(sk1,complement(one))))
| one != join(meet(one,converse(complement(join(sk1,complement(one))))),meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| one = join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(complement(join(sk1,complement(one))))),meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),[1,0],$fot(converse(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_2452,plain,
( one != join(meet(one,converse(complement(join(sk1,complement(one))))),meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| one = join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(join(sk1,complement(one))))),converse(complement(join(sk1,complement(one))))) )],[refute_0_1648,refute_0_2451]) ).
cnf(refute_0_2453,plain,
one = join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(complement(join(sk1,complement(one))))),meet(one,complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_2450,refute_0_2452]) ).
cnf(refute_0_2454,plain,
( one != join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one))))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2455,plain,
join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one))))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_2453,refute_0_2454]) ).
cnf(refute_0_2456,plain,
( converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != converse(join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one))))))) != one
| converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))),converse(join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one))))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2457,plain,
( converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != converse(join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = converse(one) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one))))))),one) )],[refute_0_2455,refute_0_2456]) ).
cnf(refute_0_2458,plain,
converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))),converse(join(converse(complement(join(sk1,complement(one)))),meet(one,complement(converse(complement(join(sk1,complement(one))))))))) )],[refute_0_2449,refute_0_2457]) ).
cnf(refute_0_2459,plain,
join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),complement(join(sk1,complement(one)))) = join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(sk1,complement(one))))),bind(B,$fot(converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2460,plain,
converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),complement(join(sk1,complement(one)))),
inference(subst,[],[refute_0_1350:[bind(A,$fot(complement(join(sk1,complement(one))))),bind(X_11,$fot(meet(one,complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2461,plain,
( converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),complement(join(sk1,complement(one))))
| join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),complement(join(sk1,complement(one)))) != join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))))),bind(Y,$fot(join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),complement(join(sk1,complement(one)))))),bind(Z,$fot(join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_2462,plain,
( join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),complement(join(sk1,complement(one)))) != join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))),join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),complement(join(sk1,complement(one))))) )],[refute_0_2460,refute_0_2461]) ).
cnf(refute_0_2463,plain,
converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) = join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),complement(join(sk1,complement(one)))),join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))) )],[refute_0_2459,refute_0_2462]) ).
cnf(refute_0_2464,plain,
( converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != converse(one)
| converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))),converse(one)) ),[0],$fot(join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2465,plain,
( converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != converse(one)
| join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))),join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))) )],[refute_0_2463,refute_0_2464]) ).
cnf(refute_0_2466,plain,
( converse(one) != one
| join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) != converse(one)
| join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_2467,plain,
( join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) != converse(one)
| join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_2466]) ).
cnf(refute_0_2468,plain,
( converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))) != converse(one)
| join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = one ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))),converse(one)) )],[refute_0_2465,refute_0_2467]) ).
cnf(refute_0_2469,plain,
join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = one,
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(complement(join(sk1,complement(one)))))),converse(one)) )],[refute_0_2458,refute_0_2468]) ).
cnf(refute_0_2470,plain,
( join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) != one
| join(sk1,join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))) != join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| join(sk1,one) = join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))),join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_2471,plain,
( join(sk1,join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))) != join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| join(sk1,one) = join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))),one) )],[refute_0_2469,refute_0_2470]) ).
cnf(refute_0_2472,plain,
join(sk1,one) = join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(join(sk1,complement(one))),converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))),join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))) )],[refute_0_2448,refute_0_2471]) ).
cnf(refute_0_2473,plain,
( join(sk1,one) != join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| join(sk1,one) != one
| one = join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,one),join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_2474,plain,
( join(sk1,one) != join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| one = join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,one),one) )],[goals_14,refute_0_2473]) ).
cnf(refute_0_2475,plain,
join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(meet(one,complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2476,plain,
( join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) != converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| one != join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| one = converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))) ),[1],$fot(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2477,plain,
( one != join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| one = converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))),converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) )],[refute_0_2475,refute_0_2476]) ).
cnf(refute_0_2478,plain,
( join(sk1,one) != join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| one = converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(one,join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))) )],[refute_0_2474,refute_0_2477]) ).
cnf(refute_0_2479,plain,
one = converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(sk1,one),join(one,converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))) )],[refute_0_2472,refute_0_2478]) ).
cnf(refute_0_2480,plain,
( one != converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_2481,plain,
converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = one,
inference(resolve,[$cnf( $equal(one,converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) )],[refute_0_2479,refute_0_2480]) ).
cnf(refute_0_2482,plain,
( converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) != join(A,converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))))
| converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) != one
| converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) = join(A,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))),join(A,converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_2483,plain,
( converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) != join(A,converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))))
| converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) = join(A,one) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),one) )],[refute_0_2481,refute_0_2482]) ).
cnf(refute_0_2484,plain,
converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) = join(A,one),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))),join(A,converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))))) )],[refute_0_2447,refute_0_2483]) ).
cnf(refute_0_2485,plain,
join(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),A) = join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)),
inference(subst,[],[refute_0_1345:[bind(C,$fot(A)),bind(X_58,$fot(meet(one,complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2486,plain,
converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A)))) = join(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),A),
inference(subst,[],[refute_0_1357:[bind(X_31,$fot(one)),bind(X_32,$fot(meet(one,complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2487,plain,
( converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A)))) != join(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),A)
| join(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),A) != join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))
| converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A)))) = join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A)))))),bind(Y,$fot(join(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),A))),bind(Z,$fot(join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))))]]) ).
cnf(refute_0_2488,plain,
( join(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),A) != join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))
| converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A)))) = join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A)))),join(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),A)) )],[refute_0_2486,refute_0_2487]) ).
cnf(refute_0_2489,plain,
converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A)))) = join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)),
inference(resolve,[$cnf( $equal(join(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),A),join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))) )],[refute_0_2485,refute_0_2488]) ).
cnf(refute_0_2490,plain,
converse(join(A,join(X_156,X_157))) = join(converse(A),converse(join(X_156,X_157))),
inference(subst,[],[converse_additivity_9:[bind(B,$fot(join(X_156,X_157)))]]) ).
cnf(refute_0_2491,plain,
join(A,join(X_156,X_157)) = join(X_156,join(X_157,A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(X_156)),bind(X_32,$fot(X_157))]]) ).
cnf(refute_0_2492,plain,
( converse(join(A,join(X_156,X_157))) != join(converse(A),converse(join(X_156,X_157)))
| join(A,join(X_156,X_157)) != join(X_156,join(X_157,A))
| converse(join(X_156,join(X_157,A))) = join(converse(A),converse(join(X_156,X_157))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(A,join(X_156,X_157))),join(converse(A),converse(join(X_156,X_157)))) ),[0,0],$fot(join(X_156,join(X_157,A)))]]) ).
cnf(refute_0_2493,plain,
( converse(join(A,join(X_156,X_157))) != join(converse(A),converse(join(X_156,X_157)))
| converse(join(X_156,join(X_157,A))) = join(converse(A),converse(join(X_156,X_157))) ),
inference(resolve,[$cnf( $equal(join(A,join(X_156,X_157)),join(X_156,join(X_157,A))) )],[refute_0_2491,refute_0_2492]) ).
cnf(refute_0_2494,plain,
converse(join(X_156,join(X_157,A))) = join(converse(A),converse(join(X_156,X_157))),
inference(resolve,[$cnf( $equal(converse(join(A,join(X_156,X_157))),join(converse(A),converse(join(X_156,X_157)))) )],[refute_0_2490,refute_0_2493]) ).
cnf(refute_0_2495,plain,
join(converse(A),converse(join(X_156,X_157))) = converse(join(A,join(X_156,X_157))),
inference(subst,[],[refute_0_849:[bind(B,$fot(join(X_156,X_157)))]]) ).
cnf(refute_0_2496,plain,
( converse(join(X_156,join(X_157,A))) != join(converse(A),converse(join(X_156,X_157)))
| join(converse(A),converse(join(X_156,X_157))) != converse(join(A,join(X_156,X_157)))
| converse(join(X_156,join(X_157,A))) = converse(join(A,join(X_156,X_157))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_156,join(X_157,A))),converse(join(A,join(X_156,X_157)))) ),[0],$fot(join(converse(A),converse(join(X_156,X_157))))]]) ).
cnf(refute_0_2497,plain,
( converse(join(X_156,join(X_157,A))) != join(converse(A),converse(join(X_156,X_157)))
| converse(join(X_156,join(X_157,A))) = converse(join(A,join(X_156,X_157))) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(join(X_156,X_157))),converse(join(A,join(X_156,X_157)))) )],[refute_0_2495,refute_0_2496]) ).
cnf(refute_0_2498,plain,
converse(join(X_156,join(X_157,A))) = converse(join(A,join(X_156,X_157))),
inference(resolve,[$cnf( $equal(converse(join(X_156,join(X_157,A))),join(converse(A),converse(join(X_156,X_157)))) )],[refute_0_2494,refute_0_2497]) ).
cnf(refute_0_2499,plain,
( converse(join(X_156,join(X_157,A))) != converse(join(A,join(X_156,X_157)))
| converse(join(A,join(X_156,X_157))) = converse(join(X_156,join(X_157,A))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_156,join(X_157,A))))),bind(Y,$fot(converse(join(A,join(X_156,X_157)))))]]) ).
cnf(refute_0_2500,plain,
converse(join(A,join(X_156,X_157))) = converse(join(X_156,join(X_157,A))),
inference(resolve,[$cnf( $equal(converse(join(X_156,join(X_157,A))),converse(join(A,join(X_156,X_157)))) )],[refute_0_2498,refute_0_2499]) ).
cnf(refute_0_2501,plain,
converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) = converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A)))),
inference(subst,[],[refute_0_2500:[bind(A,$fot(converse(A))),bind(X_156,$fot(one)),bind(X_157,$fot(meet(one,complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2502,plain,
( converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) != converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A))))
| converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A)))) != join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))
| converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) = join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))))),bind(Y,$fot(converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A)))))),bind(Z,$fot(join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))))]]) ).
cnf(refute_0_2503,plain,
( converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A)))) != join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))
| converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) = join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))),converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A))))) )],[refute_0_2501,refute_0_2502]) ).
cnf(refute_0_2504,plain,
converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) = join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),converse(A)))),join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))) )],[refute_0_2489,refute_0_2503]) ).
cnf(refute_0_2505,plain,
( converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) != join(A,one)
| converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) != join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))
| join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) = join(A,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))),join(A,one)) ),[0],$fot(join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)))]]) ).
cnf(refute_0_2506,plain,
( converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) != join(A,one)
| join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) = join(A,one) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))),join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))) )],[refute_0_2504,refute_0_2505]) ).
cnf(refute_0_2507,plain,
join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) = join(A,one),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))),join(A,one)) )],[refute_0_2484,refute_0_2506]) ).
cnf(refute_0_2508,plain,
converse(complement(join(sk1,complement(one)))) = converse(complement(join(sk1,complement(one)))),
introduced(tautology,[refl,[$fot(converse(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_2509,plain,
( complement(join(sk1,complement(one))) != meet(one,complement(sk1))
| converse(complement(join(sk1,complement(one)))) != converse(complement(join(sk1,complement(one))))
| converse(complement(join(sk1,complement(one)))) = converse(meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(sk1,complement(one)))),converse(complement(join(sk1,complement(one))))) ),[1,0],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_2510,plain,
( complement(join(sk1,complement(one))) != meet(one,complement(sk1))
| converse(complement(join(sk1,complement(one)))) = converse(meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(converse(complement(join(sk1,complement(one)))),converse(complement(join(sk1,complement(one))))) )],[refute_0_2508,refute_0_2509]) ).
cnf(refute_0_2511,plain,
converse(complement(join(sk1,complement(one)))) = converse(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(one))),meet(one,complement(sk1))) )],[refute_0_2405,refute_0_2510]) ).
cnf(refute_0_2512,plain,
complement(converse(complement(join(sk1,complement(one))))) = complement(converse(complement(join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_2513,plain,
( complement(converse(complement(join(sk1,complement(one))))) != complement(converse(complement(join(sk1,complement(one)))))
| converse(complement(join(sk1,complement(one)))) != converse(meet(one,complement(sk1)))
| complement(converse(complement(join(sk1,complement(one))))) = complement(converse(meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(join(sk1,complement(one))))),complement(converse(complement(join(sk1,complement(one)))))) ),[1,0],$fot(converse(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2514,plain,
( converse(complement(join(sk1,complement(one)))) != converse(meet(one,complement(sk1)))
| complement(converse(complement(join(sk1,complement(one))))) = complement(converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(sk1,complement(one))))),complement(converse(complement(join(sk1,complement(one)))))) )],[refute_0_2512,refute_0_2513]) ).
cnf(refute_0_2515,plain,
complement(converse(complement(join(sk1,complement(one))))) = complement(converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(join(sk1,complement(one)))),converse(meet(one,complement(sk1)))) )],[refute_0_2511,refute_0_2514]) ).
cnf(refute_0_2516,plain,
meet(one,complement(converse(complement(join(sk1,complement(one)))))) = meet(one,complement(converse(complement(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(one,complement(converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_2517,plain,
( complement(converse(complement(join(sk1,complement(one))))) != complement(converse(meet(one,complement(sk1))))
| meet(one,complement(converse(complement(join(sk1,complement(one)))))) != meet(one,complement(converse(complement(join(sk1,complement(one))))))
| meet(one,complement(converse(complement(join(sk1,complement(one)))))) = meet(one,complement(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(complement(join(sk1,complement(one)))))),meet(one,complement(converse(complement(join(sk1,complement(one))))))) ),[1,1],$fot(complement(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2518,plain,
( complement(converse(complement(join(sk1,complement(one))))) != complement(converse(meet(one,complement(sk1))))
| meet(one,complement(converse(complement(join(sk1,complement(one)))))) = meet(one,complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(join(sk1,complement(one)))))),meet(one,complement(converse(complement(join(sk1,complement(one))))))) )],[refute_0_2516,refute_0_2517]) ).
cnf(refute_0_2519,plain,
meet(one,complement(converse(complement(join(sk1,complement(one)))))) = meet(one,complement(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(sk1,complement(one))))),complement(converse(meet(one,complement(sk1))))) )],[refute_0_2515,refute_0_2518]) ).
cnf(refute_0_2520,plain,
converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))) = converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2521,plain,
( converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))) != converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| meet(one,complement(converse(complement(join(sk1,complement(one)))))) != meet(one,complement(converse(meet(one,complement(sk1)))))
| converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))) = converse(meet(one,complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),[1,0],$fot(meet(one,complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2522,plain,
( meet(one,complement(converse(complement(join(sk1,complement(one)))))) != meet(one,complement(converse(meet(one,complement(sk1)))))
| converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))) = converse(meet(one,complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),converse(meet(one,complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_2520,refute_0_2521]) ).
cnf(refute_0_2523,plain,
converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))) = converse(meet(one,complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(join(sk1,complement(one)))))),meet(one,complement(converse(meet(one,complement(sk1)))))) )],[refute_0_2519,refute_0_2522]) ).
cnf(refute_0_2524,plain,
join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A) = join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))]]) ).
cnf(refute_0_2525,plain,
( converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))) != converse(meet(one,complement(converse(meet(one,complement(sk1))))))
| join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A) != join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)
| join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A) = join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A),join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) ),[1,0],$fot(converse(meet(one,complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2526,plain,
( converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))) != converse(meet(one,complement(converse(meet(one,complement(sk1))))))
| join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A) = join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A),join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) )],[refute_0_2524,refute_0_2525]) ).
cnf(refute_0_2527,plain,
join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A) = join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),converse(meet(one,complement(converse(meet(one,complement(sk1))))))) )],[refute_0_2523,refute_0_2526]) ).
cnf(refute_0_2528,plain,
join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) = join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)),
introduced(tautology,[refl,[$fot(join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)))]]) ).
cnf(refute_0_2529,plain,
( join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A) != join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)
| join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) != join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))
| join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) = join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)),join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))) ),[1,1],$fot(join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A))]]) ).
cnf(refute_0_2530,plain,
( join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A) != join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)
| join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) = join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)),join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A))) )],[refute_0_2528,refute_0_2529]) ).
cnf(refute_0_2531,plain,
join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) = join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A),join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) )],[refute_0_2527,refute_0_2530]) ).
cnf(refute_0_2532,plain,
( join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) != join(A,one)
| join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) != join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A))
| join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) = join(A,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)),join(A,one)) ),[0],$fot(join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)))]]) ).
cnf(refute_0_2533,plain,
( join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)) != join(A,one)
| join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) = join(A,one) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)),join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A))) )],[refute_0_2531,refute_0_2532]) ).
cnf(refute_0_2534,plain,
join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) = join(A,one),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(complement(join(sk1,complement(one))))))),A)),join(A,one)) )],[refute_0_2507,refute_0_2533]) ).
cnf(refute_0_2535,plain,
meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) = complement(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))))]]) ).
cnf(refute_0_2536,plain,
converse(complement(sk1)) = join(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(converse(complement(sk1)))),bind(B,$fot(complement(meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_2537,plain,
meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) = complement(complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_2538,plain,
one = join(meet(one,complement(converse(complement(sk1)))),complement(join(complement(one),complement(converse(complement(sk1)))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(one)),bind(B,$fot(complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_2539,plain,
complement(converse(join(X_177,complement(join(converse(one),X_177))))) = meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(join(one,converse(join(X_177,complement(join(converse(one),X_177)))))))))),
inference(subst,[],[refute_0_1092:[bind(X_97,$fot(converse(join(X_177,complement(join(converse(one),X_177))))))]]) ).
cnf(refute_0_2540,plain,
converse(top) = join(join(X_11,converse(A)),converse(complement(converse(join(X_11,converse(A)))))),
inference(subst,[],[refute_0_712:[bind(X_15,$fot(join(X_11,converse(A))))]]) ).
cnf(refute_0_2541,plain,
( converse(join(X_11,converse(A))) != join(converse(X_11),A)
| converse(top) != join(join(X_11,converse(A)),converse(complement(converse(join(X_11,converse(A))))))
| converse(top) = join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_11,converse(A)),converse(complement(converse(join(X_11,converse(A))))))) ),[1,1,0,0],$fot(join(converse(X_11),A))]]) ).
cnf(refute_0_2542,plain,
( converse(top) != join(join(X_11,converse(A)),converse(complement(converse(join(X_11,converse(A))))))
| converse(top) = join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_11,converse(A))),join(converse(X_11),A)) )],[refute_0_1350,refute_0_2541]) ).
cnf(refute_0_2543,plain,
converse(top) = join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_11,converse(A)),converse(complement(converse(join(X_11,converse(A))))))) )],[refute_0_2540,refute_0_2542]) ).
cnf(refute_0_2544,plain,
join(converse(A),converse(complement(join(converse(X_11),A)))) = converse(join(A,complement(join(converse(X_11),A)))),
inference(subst,[],[refute_0_849:[bind(B,$fot(complement(join(converse(X_11),A))))]]) ).
cnf(refute_0_2545,plain,
join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))) = join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))),
introduced(tautology,[refl,[$fot(join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))))]]) ).
cnf(refute_0_2546,plain,
( join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))) != join(X_11,join(converse(A),converse(complement(join(converse(X_11),A)))))
| join(converse(A),converse(complement(join(converse(X_11),A)))) != converse(join(A,complement(join(converse(X_11),A))))
| join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))) = join(X_11,converse(join(A,complement(join(converse(X_11),A))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))),join(X_11,join(converse(A),converse(complement(join(converse(X_11),A)))))) ),[1,1],$fot(converse(join(A,complement(join(converse(X_11),A)))))]]) ).
cnf(refute_0_2547,plain,
( join(converse(A),converse(complement(join(converse(X_11),A)))) != converse(join(A,complement(join(converse(X_11),A))))
| join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))) = join(X_11,converse(join(A,complement(join(converse(X_11),A))))) ),
inference(resolve,[$cnf( $equal(join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))),join(X_11,join(converse(A),converse(complement(join(converse(X_11),A)))))) )],[refute_0_2545,refute_0_2546]) ).
cnf(refute_0_2548,plain,
join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))) = join(X_11,converse(join(A,complement(join(converse(X_11),A))))),
inference(resolve,[$cnf( $equal(join(converse(A),converse(complement(join(converse(X_11),A)))),converse(join(A,complement(join(converse(X_11),A))))) )],[refute_0_2544,refute_0_2547]) ).
cnf(refute_0_2549,plain,
join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A)))) = join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_11)),bind(B,$fot(converse(A))),bind(C,$fot(converse(complement(join(converse(X_11),A)))))]]) ).
cnf(refute_0_2550,plain,
( join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))) != join(X_11,converse(join(A,complement(join(converse(X_11),A)))))
| join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A)))) != join(X_11,join(converse(A),converse(complement(join(converse(X_11),A)))))
| join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A)))) = join(X_11,converse(join(A,complement(join(converse(X_11),A))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A)))))),bind(Y,$fot(join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))))),bind(Z,$fot(join(X_11,converse(join(A,complement(join(converse(X_11),A)))))))]]) ).
cnf(refute_0_2551,plain,
( join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))) != join(X_11,converse(join(A,complement(join(converse(X_11),A)))))
| join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A)))) = join(X_11,converse(join(A,complement(join(converse(X_11),A))))) ),
inference(resolve,[$cnf( $equal(join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A)))),join(X_11,join(converse(A),converse(complement(join(converse(X_11),A)))))) )],[refute_0_2549,refute_0_2550]) ).
cnf(refute_0_2552,plain,
join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A)))) = join(X_11,converse(join(A,complement(join(converse(X_11),A))))),
inference(resolve,[$cnf( $equal(join(X_11,join(converse(A),converse(complement(join(converse(X_11),A))))),join(X_11,converse(join(A,complement(join(converse(X_11),A)))))) )],[refute_0_2548,refute_0_2551]) ).
cnf(refute_0_2553,plain,
( converse(top) != join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A))))
| join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A)))) != join(X_11,converse(join(A,complement(join(converse(X_11),A)))))
| converse(top) = join(X_11,converse(join(A,complement(join(converse(X_11),A))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_11,converse(join(A,complement(join(converse(X_11),A)))))) ),[0],$fot(join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A)))))]]) ).
cnf(refute_0_2554,plain,
( converse(top) != join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A))))
| converse(top) = join(X_11,converse(join(A,complement(join(converse(X_11),A))))) ),
inference(resolve,[$cnf( $equal(join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A)))),join(X_11,converse(join(A,complement(join(converse(X_11),A)))))) )],[refute_0_2552,refute_0_2553]) ).
cnf(refute_0_2555,plain,
converse(top) = join(X_11,converse(join(A,complement(join(converse(X_11),A))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_11,converse(A)),converse(complement(join(converse(X_11),A))))) )],[refute_0_2543,refute_0_2554]) ).
cnf(refute_0_2556,plain,
( converse(top) != join(X_11,converse(join(A,complement(join(converse(X_11),A)))))
| converse(top) != top
| top = join(X_11,converse(join(A,complement(join(converse(X_11),A))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_11,converse(join(A,complement(join(converse(X_11),A)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_2557,plain,
( converse(top) != join(X_11,converse(join(A,complement(join(converse(X_11),A)))))
| top = join(X_11,converse(join(A,complement(join(converse(X_11),A))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_2556]) ).
cnf(refute_0_2558,plain,
top = join(X_11,converse(join(A,complement(join(converse(X_11),A))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_11,converse(join(A,complement(join(converse(X_11),A)))))) )],[refute_0_2555,refute_0_2557]) ).
cnf(refute_0_2559,plain,
top = join(one,converse(join(X_177,complement(join(converse(one),X_177))))),
inference(subst,[],[refute_0_2558:[bind(A,$fot(X_177)),bind(X_11,$fot(one))]]) ).
cnf(refute_0_2560,plain,
( top != join(one,converse(join(X_177,complement(join(converse(one),X_177)))))
| join(one,converse(join(X_177,complement(join(converse(one),X_177))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,converse(join(X_177,complement(join(converse(one),X_177)))))))]]) ).
cnf(refute_0_2561,plain,
join(one,converse(join(X_177,complement(join(converse(one),X_177))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,converse(join(X_177,complement(join(converse(one),X_177)))))) )],[refute_0_2559,refute_0_2560]) ).
cnf(refute_0_2562,plain,
( complement(converse(join(X_177,complement(join(converse(one),X_177))))) != meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(join(one,converse(join(X_177,complement(join(converse(one),X_177))))))))))
| join(one,converse(join(X_177,complement(join(converse(one),X_177))))) != top
| complement(converse(join(X_177,complement(join(converse(one),X_177))))) = meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(X_177,complement(join(converse(one),X_177))))),meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(join(one,converse(join(X_177,complement(join(converse(one),X_177))))))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_2563,plain,
( complement(converse(join(X_177,complement(join(converse(one),X_177))))) != meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(join(one,converse(join(X_177,complement(join(converse(one),X_177))))))))))
| complement(converse(join(X_177,complement(join(converse(one),X_177))))) = meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_177,complement(join(converse(one),X_177))))),top) )],[refute_0_2561,refute_0_2562]) ).
cnf(refute_0_2564,plain,
complement(converse(join(X_177,complement(join(converse(one),X_177))))) = meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(complement(converse(join(X_177,complement(join(converse(one),X_177))))),meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(join(one,converse(join(X_177,complement(join(converse(one),X_177))))))))))) )],[refute_0_2539,refute_0_2563]) ).
cnf(refute_0_2565,plain,
join(converse(one),X_177) = join(converse(one),X_177),
introduced(tautology,[refl,[$fot(join(converse(one),X_177))]]) ).
cnf(refute_0_2566,plain,
( converse(one) != one
| join(converse(one),X_177) != join(converse(one),X_177)
| join(converse(one),X_177) = join(one,X_177) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_177),join(converse(one),X_177)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2567,plain,
( converse(one) != one
| join(converse(one),X_177) = join(one,X_177) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_177),join(converse(one),X_177)) )],[refute_0_2565,refute_0_2566]) ).
cnf(refute_0_2568,plain,
join(converse(one),X_177) = join(one,X_177),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_2567]) ).
cnf(refute_0_2569,plain,
complement(join(converse(one),X_177)) = complement(join(converse(one),X_177)),
introduced(tautology,[refl,[$fot(complement(join(converse(one),X_177)))]]) ).
cnf(refute_0_2570,plain,
( complement(join(converse(one),X_177)) != complement(join(converse(one),X_177))
| join(converse(one),X_177) != join(one,X_177)
| complement(join(converse(one),X_177)) = complement(join(one,X_177)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(one),X_177)),complement(join(converse(one),X_177))) ),[1,0],$fot(join(one,X_177))]]) ).
cnf(refute_0_2571,plain,
( join(converse(one),X_177) != join(one,X_177)
| complement(join(converse(one),X_177)) = complement(join(one,X_177)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(one),X_177)),complement(join(converse(one),X_177))) )],[refute_0_2569,refute_0_2570]) ).
cnf(refute_0_2572,plain,
complement(join(converse(one),X_177)) = complement(join(one,X_177)),
inference(resolve,[$cnf( $equal(join(converse(one),X_177),join(one,X_177)) )],[refute_0_2568,refute_0_2571]) ).
cnf(refute_0_2573,plain,
join(X_177,complement(join(converse(one),X_177))) = join(X_177,complement(join(converse(one),X_177))),
introduced(tautology,[refl,[$fot(join(X_177,complement(join(converse(one),X_177))))]]) ).
cnf(refute_0_2574,plain,
( complement(join(converse(one),X_177)) != complement(join(one,X_177))
| join(X_177,complement(join(converse(one),X_177))) != join(X_177,complement(join(converse(one),X_177)))
| join(X_177,complement(join(converse(one),X_177))) = join(X_177,complement(join(one,X_177))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_177,complement(join(converse(one),X_177))),join(X_177,complement(join(converse(one),X_177)))) ),[1,1],$fot(complement(join(one,X_177)))]]) ).
cnf(refute_0_2575,plain,
( complement(join(converse(one),X_177)) != complement(join(one,X_177))
| join(X_177,complement(join(converse(one),X_177))) = join(X_177,complement(join(one,X_177))) ),
inference(resolve,[$cnf( $equal(join(X_177,complement(join(converse(one),X_177))),join(X_177,complement(join(converse(one),X_177)))) )],[refute_0_2573,refute_0_2574]) ).
cnf(refute_0_2576,plain,
join(X_177,complement(join(converse(one),X_177))) = join(X_177,complement(join(one,X_177))),
inference(resolve,[$cnf( $equal(complement(join(converse(one),X_177)),complement(join(one,X_177))) )],[refute_0_2572,refute_0_2575]) ).
cnf(refute_0_2577,plain,
converse(join(X_177,complement(join(converse(one),X_177)))) = converse(join(X_177,complement(join(converse(one),X_177)))),
introduced(tautology,[refl,[$fot(converse(join(X_177,complement(join(converse(one),X_177)))))]]) ).
cnf(refute_0_2578,plain,
( converse(join(X_177,complement(join(converse(one),X_177)))) != converse(join(X_177,complement(join(converse(one),X_177))))
| join(X_177,complement(join(converse(one),X_177))) != join(X_177,complement(join(one,X_177)))
| converse(join(X_177,complement(join(converse(one),X_177)))) = converse(join(X_177,complement(join(one,X_177)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_177,complement(join(converse(one),X_177)))),converse(join(X_177,complement(join(converse(one),X_177))))) ),[1,0],$fot(join(X_177,complement(join(one,X_177))))]]) ).
cnf(refute_0_2579,plain,
( join(X_177,complement(join(converse(one),X_177))) != join(X_177,complement(join(one,X_177)))
| converse(join(X_177,complement(join(converse(one),X_177)))) = converse(join(X_177,complement(join(one,X_177)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_177,complement(join(converse(one),X_177)))),converse(join(X_177,complement(join(converse(one),X_177))))) )],[refute_0_2577,refute_0_2578]) ).
cnf(refute_0_2580,plain,
converse(join(X_177,complement(join(converse(one),X_177)))) = converse(join(X_177,complement(join(one,X_177)))),
inference(resolve,[$cnf( $equal(join(X_177,complement(join(converse(one),X_177))),join(X_177,complement(join(one,X_177)))) )],[refute_0_2576,refute_0_2579]) ).
cnf(refute_0_2581,plain,
complement(converse(join(X_177,complement(join(converse(one),X_177))))) = complement(converse(join(X_177,complement(join(converse(one),X_177))))),
introduced(tautology,[refl,[$fot(complement(converse(join(X_177,complement(join(converse(one),X_177))))))]]) ).
cnf(refute_0_2582,plain,
( complement(converse(join(X_177,complement(join(converse(one),X_177))))) != complement(converse(join(X_177,complement(join(converse(one),X_177)))))
| converse(join(X_177,complement(join(converse(one),X_177)))) != converse(join(X_177,complement(join(one,X_177))))
| complement(converse(join(X_177,complement(join(converse(one),X_177))))) = complement(converse(join(X_177,complement(join(one,X_177))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(X_177,complement(join(converse(one),X_177))))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))) ),[1,0],$fot(converse(join(X_177,complement(join(one,X_177)))))]]) ).
cnf(refute_0_2583,plain,
( converse(join(X_177,complement(join(converse(one),X_177)))) != converse(join(X_177,complement(join(one,X_177))))
| complement(converse(join(X_177,complement(join(converse(one),X_177))))) = complement(converse(join(X_177,complement(join(one,X_177))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(X_177,complement(join(converse(one),X_177))))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))) )],[refute_0_2581,refute_0_2582]) ).
cnf(refute_0_2584,plain,
complement(converse(join(X_177,complement(join(converse(one),X_177))))) = complement(converse(join(X_177,complement(join(one,X_177))))),
inference(resolve,[$cnf( $equal(converse(join(X_177,complement(join(converse(one),X_177)))),converse(join(X_177,complement(join(one,X_177))))) )],[refute_0_2580,refute_0_2583]) ).
cnf(refute_0_2585,plain,
( complement(converse(join(X_177,complement(join(converse(one),X_177))))) != complement(converse(join(X_177,complement(join(one,X_177)))))
| complement(converse(join(X_177,complement(join(converse(one),X_177))))) != meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top)))))
| complement(converse(join(X_177,complement(join(one,X_177))))) = meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(X_177,complement(join(converse(one),X_177))))),meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top)))))) ),[0],$fot(complement(converse(join(X_177,complement(join(one,X_177))))))]]) ).
cnf(refute_0_2586,plain,
( complement(converse(join(X_177,complement(join(converse(one),X_177))))) != meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top)))))
| complement(converse(join(X_177,complement(join(one,X_177))))) = meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(X_177,complement(join(converse(one),X_177))))),complement(converse(join(X_177,complement(join(one,X_177)))))) )],[refute_0_2584,refute_0_2585]) ).
cnf(refute_0_2587,plain,
meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))) = meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))),
introduced(tautology,[refl,[$fot(meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))))]]) ).
cnf(refute_0_2588,plain,
( complement(converse(join(X_177,complement(join(converse(one),X_177))))) != complement(converse(join(X_177,complement(join(one,X_177)))))
| meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))) != meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177))))))
| meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))) = meet(one,complement(converse(join(X_177,complement(join(one,X_177)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))),meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177))))))) ),[1,1],$fot(complement(converse(join(X_177,complement(join(one,X_177))))))]]) ).
cnf(refute_0_2589,plain,
( complement(converse(join(X_177,complement(join(converse(one),X_177))))) != complement(converse(join(X_177,complement(join(one,X_177)))))
| meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))) = meet(one,complement(converse(join(X_177,complement(join(one,X_177)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))),meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177))))))) )],[refute_0_2587,refute_0_2588]) ).
cnf(refute_0_2590,plain,
meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))) = meet(one,complement(converse(join(X_177,complement(join(one,X_177)))))),
inference(resolve,[$cnf( $equal(complement(converse(join(X_177,complement(join(converse(one),X_177))))),complement(converse(join(X_177,complement(join(one,X_177)))))) )],[refute_0_2584,refute_0_2589]) ).
cnf(refute_0_2591,plain,
meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))) = meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))),
introduced(tautology,[refl,[$fot(meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))))]]) ).
cnf(refute_0_2592,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))) != meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177))))))
| meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))) = meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))),meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2593,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))) = meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))),meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177))))))) )],[refute_0_2591,refute_0_2592]) ).
cnf(refute_0_2594,plain,
meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))) = meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_962,refute_0_2593]) ).
cnf(refute_0_2595,plain,
( meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))) != meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177))))))
| meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))) != meet(one,complement(converse(join(X_177,complement(join(one,X_177))))))
| meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))) = meet(one,complement(converse(join(X_177,complement(join(one,X_177)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))))),bind(Y,$fot(meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))))),bind(Z,$fot(meet(one,complement(converse(join(X_177,complement(join(one,X_177))))))))]]) ).
cnf(refute_0_2596,plain,
( meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))) != meet(one,complement(converse(join(X_177,complement(join(one,X_177))))))
| meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))) = meet(one,complement(converse(join(X_177,complement(join(one,X_177)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))),meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177))))))) )],[refute_0_2594,refute_0_2595]) ).
cnf(refute_0_2597,plain,
meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))) = meet(one,complement(converse(join(X_177,complement(join(one,X_177)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(X_177,complement(join(converse(one),X_177)))))),meet(one,complement(converse(join(X_177,complement(join(one,X_177))))))) )],[refute_0_2590,refute_0_2596]) ).
cnf(refute_0_2598,plain,
meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))) = meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(join(one,complement(converse(top)))))),bind(X_7,$fot(complement(converse(join(X_177,complement(join(converse(one),X_177)))))))]]) ).
cnf(refute_0_2599,plain,
( meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))) != meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177))))))
| meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))) != meet(one,complement(converse(join(X_177,complement(join(one,X_177))))))
| meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))) = meet(one,complement(converse(join(X_177,complement(join(one,X_177)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))))),bind(Z,$fot(meet(one,complement(converse(join(X_177,complement(join(one,X_177))))))))]]) ).
cnf(refute_0_2600,plain,
( meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))) != meet(one,complement(converse(join(X_177,complement(join(one,X_177))))))
| meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))) = meet(one,complement(converse(join(X_177,complement(join(one,X_177)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))),meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177))))))) )],[refute_0_2598,refute_0_2599]) ).
cnf(refute_0_2601,plain,
meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))) = meet(one,complement(converse(join(X_177,complement(join(one,X_177)))))),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(converse(join(X_177,complement(join(converse(one),X_177)))))),meet(one,complement(converse(join(X_177,complement(join(one,X_177))))))) )],[refute_0_2597,refute_0_2600]) ).
cnf(refute_0_2602,plain,
( complement(converse(join(X_177,complement(join(one,X_177))))) != meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top)))))
| meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))) != meet(one,complement(converse(join(X_177,complement(join(one,X_177))))))
| complement(converse(join(X_177,complement(join(one,X_177))))) = meet(one,complement(converse(join(X_177,complement(join(one,X_177)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(join(X_177,complement(join(one,X_177))))),meet(one,complement(converse(join(X_177,complement(join(one,X_177))))))) ),[0],$fot(meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_2603,plain,
( complement(converse(join(X_177,complement(join(one,X_177))))) != meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top)))))
| complement(converse(join(X_177,complement(join(one,X_177))))) = meet(one,complement(converse(join(X_177,complement(join(one,X_177)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top))))),meet(one,complement(converse(join(X_177,complement(join(one,X_177))))))) )],[refute_0_2601,refute_0_2602]) ).
cnf(refute_0_2604,plain,
( complement(converse(join(X_177,complement(join(converse(one),X_177))))) != meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top)))))
| complement(converse(join(X_177,complement(join(one,X_177))))) = meet(one,complement(converse(join(X_177,complement(join(one,X_177)))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(X_177,complement(join(one,X_177))))),meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top)))))) )],[refute_0_2586,refute_0_2603]) ).
cnf(refute_0_2605,plain,
complement(converse(join(X_177,complement(join(one,X_177))))) = meet(one,complement(converse(join(X_177,complement(join(one,X_177)))))),
inference(resolve,[$cnf( $equal(complement(converse(join(X_177,complement(join(converse(one),X_177))))),meet(complement(converse(join(X_177,complement(join(converse(one),X_177))))),converse(join(one,complement(converse(top)))))) )],[refute_0_2564,refute_0_2604]) ).
cnf(refute_0_2606,plain,
complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) = meet(one,complement(converse(join(complement(sk1),complement(join(one,complement(sk1))))))),
inference(subst,[],[refute_0_2605:[bind(X_177,$fot(complement(sk1)))]]) ).
cnf(refute_0_2607,plain,
( complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) != meet(one,complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))))
| join(one,complement(sk1)) != top
| complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) = meet(one,complement(converse(join(complement(sk1),complement(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))),meet(one,complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))))) ),[1,1,0,0,1,0],$fot(top)]]) ).
cnf(refute_0_2608,plain,
( complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) != meet(one,complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))))
| complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) = meet(one,complement(converse(join(complement(sk1),complement(top))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(sk1)),top) )],[refute_0_908,refute_0_2607]) ).
cnf(refute_0_2609,plain,
complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) = meet(one,complement(converse(join(complement(sk1),complement(top))))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))),meet(one,complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))))) )],[refute_0_2606,refute_0_2608]) ).
cnf(refute_0_2610,plain,
sk1 = meet(sk1,join(sk1,join(complement(join(sk1,complement(one))),X_160))),
inference(subst,[],[refute_0_677:[bind(X_33,$fot(join(complement(join(sk1,complement(one))),X_160))),bind(X_97,$fot(sk1))]]) ).
cnf(refute_0_2611,plain,
join(sk1,join(complement(join(sk1,complement(one))),X_160)) = join(one,X_160),
inference(subst,[],[refute_0_1591:[bind(C,$fot(X_160))]]) ).
cnf(refute_0_2612,plain,
( join(sk1,join(complement(join(sk1,complement(one))),X_160)) != join(one,X_160)
| sk1 != meet(sk1,join(sk1,join(complement(join(sk1,complement(one))),X_160)))
| sk1 = meet(sk1,join(one,X_160)) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,meet(sk1,join(sk1,join(complement(join(sk1,complement(one))),X_160)))) ),[1,1],$fot(join(one,X_160))]]) ).
cnf(refute_0_2613,plain,
( sk1 != meet(sk1,join(sk1,join(complement(join(sk1,complement(one))),X_160)))
| sk1 = meet(sk1,join(one,X_160)) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(join(sk1,complement(one))),X_160)),join(one,X_160)) )],[refute_0_2611,refute_0_2612]) ).
cnf(refute_0_2614,plain,
sk1 = meet(sk1,join(one,X_160)),
inference(resolve,[$cnf( $equal(sk1,meet(sk1,join(sk1,join(complement(join(sk1,complement(one))),X_160)))) )],[refute_0_2610,refute_0_2613]) ).
cnf(refute_0_2615,plain,
( sk1 != meet(sk1,join(one,X_160))
| meet(sk1,join(one,X_160)) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(meet(sk1,join(one,X_160))))]]) ).
cnf(refute_0_2616,plain,
meet(sk1,join(one,X_160)) = sk1,
inference(resolve,[$cnf( $equal(sk1,meet(sk1,join(one,X_160))) )],[refute_0_2614,refute_0_2615]) ).
cnf(refute_0_2617,plain,
meet(sk1,join(one,complement(sk1))) = sk1,
inference(subst,[],[refute_0_2616:[bind(X_160,$fot(complement(sk1)))]]) ).
cnf(refute_0_2618,plain,
complement(meet(sk1,join(one,complement(sk1)))) = complement(meet(sk1,join(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(complement(meet(sk1,join(one,complement(sk1)))))]]) ).
cnf(refute_0_2619,plain,
( complement(meet(sk1,join(one,complement(sk1)))) != complement(meet(sk1,join(one,complement(sk1))))
| meet(sk1,join(one,complement(sk1))) != sk1
| complement(meet(sk1,join(one,complement(sk1)))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(sk1,join(one,complement(sk1)))),complement(meet(sk1,join(one,complement(sk1))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_2620,plain,
( meet(sk1,join(one,complement(sk1))) != sk1
| complement(meet(sk1,join(one,complement(sk1)))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(meet(sk1,join(one,complement(sk1)))),complement(meet(sk1,join(one,complement(sk1))))) )],[refute_0_2618,refute_0_2619]) ).
cnf(refute_0_2621,plain,
complement(meet(sk1,join(one,complement(sk1)))) = complement(sk1),
inference(resolve,[$cnf( $equal(meet(sk1,join(one,complement(sk1))),sk1) )],[refute_0_2617,refute_0_2620]) ).
cnf(refute_0_2622,plain,
join(complement(sk1),complement(join(one,complement(sk1)))) = complement(meet(sk1,join(one,complement(sk1)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(sk1)),bind(B,$fot(join(one,complement(sk1))))]]) ).
cnf(refute_0_2623,plain,
( complement(meet(sk1,join(one,complement(sk1)))) != complement(sk1)
| join(complement(sk1),complement(join(one,complement(sk1)))) != complement(meet(sk1,join(one,complement(sk1))))
| join(complement(sk1),complement(join(one,complement(sk1)))) = complement(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(sk1),complement(join(one,complement(sk1)))))),bind(Y,$fot(complement(meet(sk1,join(one,complement(sk1)))))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_2624,plain,
( complement(meet(sk1,join(one,complement(sk1)))) != complement(sk1)
| join(complement(sk1),complement(join(one,complement(sk1)))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),complement(join(one,complement(sk1)))),complement(meet(sk1,join(one,complement(sk1))))) )],[refute_0_2622,refute_0_2623]) ).
cnf(refute_0_2625,plain,
join(complement(sk1),complement(join(one,complement(sk1)))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(meet(sk1,join(one,complement(sk1)))),complement(sk1)) )],[refute_0_2621,refute_0_2624]) ).
cnf(refute_0_2626,plain,
converse(join(complement(sk1),complement(join(one,complement(sk1))))) = converse(join(complement(sk1),complement(join(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(converse(join(complement(sk1),complement(join(one,complement(sk1))))))]]) ).
cnf(refute_0_2627,plain,
( converse(join(complement(sk1),complement(join(one,complement(sk1))))) != converse(join(complement(sk1),complement(join(one,complement(sk1)))))
| join(complement(sk1),complement(join(one,complement(sk1)))) != complement(sk1)
| converse(join(complement(sk1),complement(join(one,complement(sk1))))) = converse(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(sk1),complement(join(one,complement(sk1))))),converse(join(complement(sk1),complement(join(one,complement(sk1)))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_2628,plain,
( join(complement(sk1),complement(join(one,complement(sk1)))) != complement(sk1)
| converse(join(complement(sk1),complement(join(one,complement(sk1))))) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(sk1),complement(join(one,complement(sk1))))),converse(join(complement(sk1),complement(join(one,complement(sk1)))))) )],[refute_0_2626,refute_0_2627]) ).
cnf(refute_0_2629,plain,
converse(join(complement(sk1),complement(join(one,complement(sk1))))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(sk1),complement(join(one,complement(sk1)))),complement(sk1)) )],[refute_0_2625,refute_0_2628]) ).
cnf(refute_0_2630,plain,
complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) = complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))),
introduced(tautology,[refl,[$fot(complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))))]]) ).
cnf(refute_0_2631,plain,
( complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) != complement(converse(join(complement(sk1),complement(join(one,complement(sk1))))))
| converse(join(complement(sk1),complement(join(one,complement(sk1))))) != converse(complement(sk1))
| complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) = complement(converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))),complement(converse(join(complement(sk1),complement(join(one,complement(sk1))))))) ),[1,0],$fot(converse(complement(sk1)))]]) ).
cnf(refute_0_2632,plain,
( converse(join(complement(sk1),complement(join(one,complement(sk1))))) != converse(complement(sk1))
| complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) = complement(converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))),complement(converse(join(complement(sk1),complement(join(one,complement(sk1))))))) )],[refute_0_2630,refute_0_2631]) ).
cnf(refute_0_2633,plain,
complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) = complement(converse(complement(sk1))),
inference(resolve,[$cnf( $equal(converse(join(complement(sk1),complement(join(one,complement(sk1))))),converse(complement(sk1))) )],[refute_0_2629,refute_0_2632]) ).
cnf(refute_0_2634,plain,
( complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) != complement(converse(complement(sk1)))
| complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) != meet(one,complement(converse(join(complement(sk1),complement(top)))))
| complement(converse(complement(sk1))) = meet(one,complement(converse(join(complement(sk1),complement(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))),meet(one,complement(converse(join(complement(sk1),complement(top)))))) ),[0],$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_2635,plain,
( complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) != meet(one,complement(converse(join(complement(sk1),complement(top)))))
| complement(converse(complement(sk1))) = meet(one,complement(converse(join(complement(sk1),complement(top))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))),complement(converse(complement(sk1)))) )],[refute_0_2633,refute_0_2634]) ).
cnf(refute_0_2636,plain,
converse(join(complement(sk1),complement(top))) = converse(join(complement(sk1),complement(top))),
introduced(tautology,[refl,[$fot(converse(join(complement(sk1),complement(top))))]]) ).
cnf(refute_0_2637,plain,
( converse(join(complement(sk1),complement(top))) != converse(join(complement(sk1),complement(top)))
| join(complement(sk1),complement(top)) != complement(sk1)
| converse(join(complement(sk1),complement(top))) = converse(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(sk1),complement(top))),converse(join(complement(sk1),complement(top)))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_2638,plain,
( join(complement(sk1),complement(top)) != complement(sk1)
| converse(join(complement(sk1),complement(top))) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(sk1),complement(top))),converse(join(complement(sk1),complement(top)))) )],[refute_0_2636,refute_0_2637]) ).
cnf(refute_0_2639,plain,
converse(join(complement(sk1),complement(top))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(sk1),complement(top)),complement(sk1)) )],[refute_0_1915,refute_0_2638]) ).
cnf(refute_0_2640,plain,
complement(converse(join(complement(sk1),complement(top)))) = complement(converse(join(complement(sk1),complement(top)))),
introduced(tautology,[refl,[$fot(complement(converse(join(complement(sk1),complement(top)))))]]) ).
cnf(refute_0_2641,plain,
( complement(converse(join(complement(sk1),complement(top)))) != complement(converse(join(complement(sk1),complement(top))))
| converse(join(complement(sk1),complement(top))) != converse(complement(sk1))
| complement(converse(join(complement(sk1),complement(top)))) = complement(converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(sk1),complement(top)))),complement(converse(join(complement(sk1),complement(top))))) ),[1,0],$fot(converse(complement(sk1)))]]) ).
cnf(refute_0_2642,plain,
( converse(join(complement(sk1),complement(top))) != converse(complement(sk1))
| complement(converse(join(complement(sk1),complement(top)))) = complement(converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(sk1),complement(top)))),complement(converse(join(complement(sk1),complement(top))))) )],[refute_0_2640,refute_0_2641]) ).
cnf(refute_0_2643,plain,
complement(converse(join(complement(sk1),complement(top)))) = complement(converse(complement(sk1))),
inference(resolve,[$cnf( $equal(converse(join(complement(sk1),complement(top))),converse(complement(sk1))) )],[refute_0_2639,refute_0_2642]) ).
cnf(refute_0_2644,plain,
meet(one,complement(converse(join(complement(sk1),complement(top))))) = meet(one,complement(converse(join(complement(sk1),complement(top))))),
introduced(tautology,[refl,[$fot(meet(one,complement(converse(join(complement(sk1),complement(top))))))]]) ).
cnf(refute_0_2645,plain,
( complement(converse(join(complement(sk1),complement(top)))) != complement(converse(complement(sk1)))
| meet(one,complement(converse(join(complement(sk1),complement(top))))) != meet(one,complement(converse(join(complement(sk1),complement(top)))))
| meet(one,complement(converse(join(complement(sk1),complement(top))))) = meet(one,complement(converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(join(complement(sk1),complement(top))))),meet(one,complement(converse(join(complement(sk1),complement(top)))))) ),[1,1],$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_2646,plain,
( complement(converse(join(complement(sk1),complement(top)))) != complement(converse(complement(sk1)))
| meet(one,complement(converse(join(complement(sk1),complement(top))))) = meet(one,complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(complement(sk1),complement(top))))),meet(one,complement(converse(join(complement(sk1),complement(top)))))) )],[refute_0_2644,refute_0_2645]) ).
cnf(refute_0_2647,plain,
meet(one,complement(converse(join(complement(sk1),complement(top))))) = meet(one,complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(sk1),complement(top)))),complement(converse(complement(sk1)))) )],[refute_0_2643,refute_0_2646]) ).
cnf(refute_0_2648,plain,
( complement(converse(complement(sk1))) != meet(one,complement(converse(join(complement(sk1),complement(top)))))
| meet(one,complement(converse(join(complement(sk1),complement(top))))) != meet(one,complement(converse(complement(sk1))))
| complement(converse(complement(sk1))) = meet(one,complement(converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(sk1))),meet(one,complement(converse(complement(sk1))))) ),[0],$fot(meet(one,complement(converse(join(complement(sk1),complement(top))))))]]) ).
cnf(refute_0_2649,plain,
( complement(converse(complement(sk1))) != meet(one,complement(converse(join(complement(sk1),complement(top)))))
| complement(converse(complement(sk1))) = meet(one,complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(complement(sk1),complement(top))))),meet(one,complement(converse(complement(sk1))))) )],[refute_0_2647,refute_0_2648]) ).
cnf(refute_0_2650,plain,
( complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))) != meet(one,complement(converse(join(complement(sk1),complement(top)))))
| complement(converse(complement(sk1))) = meet(one,complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(sk1))),meet(one,complement(converse(join(complement(sk1),complement(top)))))) )],[refute_0_2635,refute_0_2649]) ).
cnf(refute_0_2651,plain,
complement(converse(complement(sk1))) = meet(one,complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(sk1),complement(join(one,complement(sk1)))))),meet(one,complement(converse(join(complement(sk1),complement(top)))))) )],[refute_0_2609,refute_0_2650]) ).
cnf(refute_0_2652,plain,
( complement(converse(complement(sk1))) != meet(one,complement(converse(complement(sk1))))
| meet(one,complement(converse(complement(sk1)))) = complement(converse(complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(complement(sk1))))),bind(Y,$fot(meet(one,complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_2653,plain,
meet(one,complement(converse(complement(sk1)))) = complement(converse(complement(sk1))),
inference(resolve,[$cnf( $equal(complement(converse(complement(sk1))),meet(one,complement(converse(complement(sk1))))) )],[refute_0_2651,refute_0_2652]) ).
cnf(refute_0_2654,plain,
( meet(one,complement(converse(complement(sk1)))) != complement(converse(complement(sk1)))
| one != join(meet(one,complement(converse(complement(sk1)))),complement(join(complement(one),complement(converse(complement(sk1))))))
| one = join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(converse(complement(sk1)))),complement(join(complement(one),complement(converse(complement(sk1))))))) ),[1,0],$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_2655,plain,
( one != join(meet(one,complement(converse(complement(sk1)))),complement(join(complement(one),complement(converse(complement(sk1))))))
| one = join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(sk1)))),complement(converse(complement(sk1)))) )],[refute_0_2653,refute_0_2654]) ).
cnf(refute_0_2656,plain,
one = join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(converse(complement(sk1)))),complement(join(complement(one),complement(converse(complement(sk1))))))) )],[refute_0_2538,refute_0_2655]) ).
cnf(refute_0_2657,plain,
join(complement(one),complement(converse(complement(sk1)))) = complement(meet(one,converse(complement(sk1)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_2658,plain,
meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))) = meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_2659,plain,
( join(complement(one),complement(converse(complement(sk1)))) != complement(meet(one,converse(complement(sk1))))
| meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))) != meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))
| meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))) = meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))),meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))) ),[1,1],$fot(complement(meet(one,converse(complement(sk1)))))]]) ).
cnf(refute_0_2660,plain,
( join(complement(one),complement(converse(complement(sk1)))) != complement(meet(one,converse(complement(sk1))))
| meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))) = meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))),meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))) )],[refute_0_2658,refute_0_2659]) ).
cnf(refute_0_2661,plain,
meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))) = meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(complement(sk1)))),complement(meet(one,converse(complement(sk1))))) )],[refute_0_2657,refute_0_2660]) ).
cnf(refute_0_2662,plain,
complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))),
introduced(tautology,[refl,[$fot(complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))))]]) ).
cnf(refute_0_2663,plain,
( complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))) != complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))))
| meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))) != meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))
| complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))),complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))))) ),[1,0],$fot(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_2664,plain,
( meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))) != meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))
| complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))),complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))))) )],[refute_0_2662,refute_0_2663]) ).
cnf(refute_0_2665,plain,
complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))),meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))) )],[refute_0_2661,refute_0_2664]) ).
cnf(refute_0_2666,plain,
join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(converse(complement(sk1)))),bind(B,$fot(join(complement(one),complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_2667,plain,
( complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))) != complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))
| join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1)))))) != complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))))
| join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1)))))))),bind(Y,$fot(complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))))),bind(Z,$fot(complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))))]]) ).
cnf(refute_0_2668,plain,
( complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))) != complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))
| join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1)))))),complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1))))))) )],[refute_0_2666,refute_0_2667]) ).
cnf(refute_0_2669,plain,
join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(sk1)),join(complement(one),complement(converse(complement(sk1)))))),complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))) )],[refute_0_2665,refute_0_2668]) ).
cnf(refute_0_2670,plain,
( join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1)))))) != complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))
| one != join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1))))))
| one = complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1))))))) ),[1],$fot(complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_2671,plain,
( one != join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1))))))
| one = complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1)))))),complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))) )],[refute_0_2669,refute_0_2670]) ).
cnf(refute_0_2672,plain,
one = complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(sk1))),complement(join(complement(one),complement(converse(complement(sk1))))))) )],[refute_0_2656,refute_0_2671]) ).
cnf(refute_0_2673,plain,
( one != complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))
| complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))))]]) ).
cnf(refute_0_2674,plain,
complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))) = one,
inference(resolve,[$cnf( $equal(one,complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))) )],[refute_0_2672,refute_0_2673]) ).
cnf(refute_0_2675,plain,
( complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))) != one
| meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) != complement(complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))))
| meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))),complement(complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2676,plain,
( meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) != complement(complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))))
| meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))),one) )],[refute_0_2674,refute_0_2675]) ).
cnf(refute_0_2677,plain,
meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) = complement(one),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))),complement(complement(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))))) )],[refute_0_2537,refute_0_2676]) ).
cnf(refute_0_2678,plain,
( converse(complement(sk1)) != join(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))
| meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) != complement(one)
| converse(complement(sk1)) = join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(sk1)),join(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_2679,plain,
( converse(complement(sk1)) != join(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))
| converse(complement(sk1)) = join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))),complement(one)) )],[refute_0_2677,refute_0_2678]) ).
cnf(refute_0_2680,plain,
converse(complement(sk1)) = join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),join(meet(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))) )],[refute_0_2536,refute_0_2679]) ).
cnf(refute_0_2681,plain,
join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))) = complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(converse(complement(sk1)))),bind(B,$fot(meet(one,converse(complement(sk1)))))]]) ).
cnf(refute_0_2682,plain,
meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))) = meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_2683,plain,
( join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))) != complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))
| meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))) != meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))
| meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))) = meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))),meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) ),[1,1],$fot(complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_2684,plain,
( join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))) != complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))
| meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))) = meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))),meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) )],[refute_0_2682,refute_0_2683]) ).
cnf(refute_0_2685,plain,
meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))) = meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))),complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) )],[refute_0_2681,refute_0_2684]) ).
cnf(refute_0_2686,plain,
complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) = complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))))]]) ).
cnf(refute_0_2687,plain,
( complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) != complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))
| meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))) != meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))
| complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) = complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))),complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))) ),[1,0],$fot(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_2688,plain,
( meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))) != meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))
| complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) = complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))),complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))) )],[refute_0_2686,refute_0_2687]) ).
cnf(refute_0_2689,plain,
complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) = complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) )],[refute_0_2685,refute_0_2688]) ).
cnf(refute_0_2690,plain,
join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) = complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_2691,plain,
( complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) != complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))
| join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) != complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))
| join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) = complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))))),bind(Y,$fot(complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))))),bind(Z,$fot(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))))]]) ).
cnf(refute_0_2692,plain,
( complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) != complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))
| join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) = complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))),complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))) )],[refute_0_2690,refute_0_2691]) ).
cnf(refute_0_2693,plain,
join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) = complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))),complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))) )],[refute_0_2689,refute_0_2692]) ).
cnf(refute_0_2694,plain,
( converse(complement(sk1)) != join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))
| join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))) != complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))
| converse(complement(sk1)) = complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(sk1)),complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))) ),[0],$fot(join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))))]]) ).
cnf(refute_0_2695,plain,
( converse(complement(sk1)) != join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))
| converse(complement(sk1)) = complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1))))))),complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))) )],[refute_0_2693,refute_0_2694]) ).
cnf(refute_0_2696,plain,
converse(complement(sk1)) = complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),join(complement(one),complement(join(complement(converse(complement(sk1))),complement(meet(one,converse(complement(sk1)))))))) )],[refute_0_2680,refute_0_2695]) ).
cnf(refute_0_2697,plain,
( converse(complement(sk1)) != complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))
| complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) = converse(complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(sk1)))),bind(Y,$fot(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))))]]) ).
cnf(refute_0_2698,plain,
complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))) )],[refute_0_2696,refute_0_2697]) ).
cnf(refute_0_2699,plain,
( complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) != converse(complement(sk1))
| meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != complement(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))))
| meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) = complement(converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),complement(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))))) ),[1,0],$fot(converse(complement(sk1)))]]) ).
cnf(refute_0_2700,plain,
( meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != complement(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))))
| meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) = complement(converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),converse(complement(sk1))) )],[refute_0_2698,refute_0_2699]) ).
cnf(refute_0_2701,plain,
meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) = complement(converse(complement(sk1))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),complement(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))))) )],[refute_0_2535,refute_0_2700]) ).
cnf(refute_0_2702,plain,
X_136 = meet(X_136,join(X_135,complement(join(complement(X_136),X_135)))),
inference(subst,[],[refute_0_1558:[bind(X_32,$fot(X_135)),bind(X_97,$fot(X_136))]]) ).
cnf(refute_0_2703,plain,
join(X_135,complement(X_136)) = join(complement(X_136),X_135),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_135)),bind(B,$fot(complement(X_136)))]]) ).
cnf(refute_0_2704,plain,
( join(X_135,complement(X_136)) != join(complement(X_136),X_135)
| join(complement(X_136),X_135) = join(X_135,complement(X_136)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_135,complement(X_136)))),bind(Y,$fot(join(complement(X_136),X_135)))]]) ).
cnf(refute_0_2705,plain,
join(complement(X_136),X_135) = join(X_135,complement(X_136)),
inference(resolve,[$cnf( $equal(join(X_135,complement(X_136)),join(complement(X_136),X_135)) )],[refute_0_2703,refute_0_2704]) ).
cnf(refute_0_2706,plain,
( X_136 != meet(X_136,join(X_135,complement(join(complement(X_136),X_135))))
| join(complement(X_136),X_135) != join(X_135,complement(X_136))
| X_136 = meet(X_136,join(X_135,complement(join(X_135,complement(X_136))))) ),
introduced(tautology,[equality,[$cnf( $equal(X_136,meet(X_136,join(X_135,complement(join(complement(X_136),X_135))))) ),[1,1,1,0],$fot(join(X_135,complement(X_136)))]]) ).
cnf(refute_0_2707,plain,
( X_136 != meet(X_136,join(X_135,complement(join(complement(X_136),X_135))))
| X_136 = meet(X_136,join(X_135,complement(join(X_135,complement(X_136))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_136),X_135),join(X_135,complement(X_136))) )],[refute_0_2705,refute_0_2706]) ).
cnf(refute_0_2708,plain,
X_136 = meet(X_136,join(X_135,complement(join(X_135,complement(X_136))))),
inference(resolve,[$cnf( $equal(X_136,meet(X_136,join(X_135,complement(join(complement(X_136),X_135))))) )],[refute_0_2702,refute_0_2707]) ).
cnf(refute_0_2709,plain,
meet(one,converse(complement(sk1))) = meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))))),
inference(subst,[],[refute_0_2708:[bind(X_135,$fot(converse(complement(sk1)))),bind(X_136,$fot(meet(one,converse(complement(sk1)))))]]) ).
cnf(refute_0_2710,plain,
converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) = converse(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243))),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(meet(one,complement(sk1)))),bind(X_12,$fot(join(converse(complement(meet(one,converse(complement(sk1))))),X_243)))]]) ).
cnf(refute_0_2711,plain,
join(A,join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1))))))) = join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(meet(one,complement(sk1)))),bind(X_32,$fot(converse(complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_2712,plain,
top = join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))))))),
inference(subst,[],[refute_0_2558:[bind(A,$fot(complement(converse(complement(meet(one,join(sk1,complement(one)))))))),bind(X_11,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_2713,plain,
( join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))) != one
| top != join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one)))))))))))
| top = join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one)))))))))))) ),[1,1,0,1,0],$fot(one)]]) ).
cnf(refute_0_2714,plain,
( top != join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one)))))))))))
| top = join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one))))))),one) )],[refute_0_1781,refute_0_2713]) ).
cnf(refute_0_2715,plain,
top = join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one)))),
inference(resolve,[$cnf( $equal(top,join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(join(converse(complement(join(sk1,complement(one)))),complement(converse(complement(meet(one,join(sk1,complement(one)))))))))))) )],[refute_0_2712,refute_0_2714]) ).
cnf(refute_0_2716,plain,
join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))) = complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(converse(complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_2717,plain,
converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2718,plain,
( converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))) != converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))
| join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))) != complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))
| converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))) ),[1,0],$fot(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2719,plain,
( join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))) != complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))
| converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))) )],[refute_0_2717,refute_0_2718]) ).
cnf(refute_0_2720,plain,
converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))) = converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))),complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))) )],[refute_0_2716,refute_0_2719]) ).
cnf(refute_0_2721,plain,
join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))) = join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))),
introduced(tautology,[refl,[$fot(join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_2722,plain,
( converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))) != converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))
| join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))) != join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))))
| join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))) = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))),join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))))) ),[1,1],$fot(converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2723,plain,
( converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))) != converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))
| join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))) = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))),join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))))) )],[refute_0_2721,refute_0_2722]) ).
cnf(refute_0_2724,plain,
join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))) = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) )],[refute_0_2720,refute_0_2723]) ).
cnf(refute_0_2725,plain,
converse(join(converse(A),join(X_26,X_25))) = join(A,converse(join(X_26,X_25))),
inference(subst,[],[refute_0_705:[bind(X_12,$fot(join(X_26,X_25)))]]) ).
cnf(refute_0_2726,plain,
converse(join(X_26,X_25)) = converse(join(X_25,X_26)),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(X_25)),bind(X_12,$fot(X_26))]]) ).
cnf(refute_0_2727,plain,
( converse(join(X_26,X_25)) != converse(join(X_25,X_26))
| converse(join(converse(A),join(X_26,X_25))) != join(A,converse(join(X_26,X_25)))
| converse(join(converse(A),join(X_26,X_25))) = join(A,converse(join(X_25,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(X_26,X_25))),join(A,converse(join(X_26,X_25)))) ),[1,1],$fot(converse(join(X_25,X_26)))]]) ).
cnf(refute_0_2728,plain,
( converse(join(converse(A),join(X_26,X_25))) != join(A,converse(join(X_26,X_25)))
| converse(join(converse(A),join(X_26,X_25))) = join(A,converse(join(X_25,X_26))) ),
inference(resolve,[$cnf( $equal(converse(join(X_26,X_25)),converse(join(X_25,X_26))) )],[refute_0_2726,refute_0_2727]) ).
cnf(refute_0_2729,plain,
converse(join(converse(A),join(X_26,X_25))) = join(A,converse(join(X_25,X_26))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_26,X_25))),join(A,converse(join(X_26,X_25)))) )],[refute_0_2725,refute_0_2728]) ).
cnf(refute_0_2730,plain,
( converse(join(converse(A),join(X_26,X_25))) != join(A,converse(join(X_25,X_26)))
| converse(join(converse(A),join(X_26,X_25))) != join(A,converse(join(X_26,X_25)))
| join(A,converse(join(X_26,X_25))) = join(A,converse(join(X_25,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(X_26,X_25))),join(A,converse(join(X_25,X_26)))) ),[0],$fot(join(A,converse(join(X_26,X_25))))]]) ).
cnf(refute_0_2731,plain,
( converse(join(converse(A),join(X_26,X_25))) != join(A,converse(join(X_25,X_26)))
| join(A,converse(join(X_26,X_25))) = join(A,converse(join(X_25,X_26))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_26,X_25))),join(A,converse(join(X_26,X_25)))) )],[refute_0_2725,refute_0_2730]) ).
cnf(refute_0_2732,plain,
join(A,converse(join(X_26,X_25))) = join(A,converse(join(X_25,X_26))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_26,X_25))),join(A,converse(join(X_25,X_26)))) )],[refute_0_2729,refute_0_2731]) ).
cnf(refute_0_2733,plain,
( join(A,converse(join(X_26,X_25))) != join(A,converse(join(X_25,X_26)))
| join(A,converse(join(X_25,X_26))) = join(A,converse(join(X_26,X_25))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,converse(join(X_26,X_25))))),bind(Y,$fot(join(A,converse(join(X_25,X_26)))))]]) ).
cnf(refute_0_2734,plain,
join(A,converse(join(X_25,X_26))) = join(A,converse(join(X_26,X_25))),
inference(resolve,[$cnf( $equal(join(A,converse(join(X_26,X_25))),join(A,converse(join(X_25,X_26)))) )],[refute_0_2732,refute_0_2733]) ).
cnf(refute_0_2735,plain,
join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one)))) = join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))),
inference(subst,[],[refute_0_2734:[bind(A,$fot(complement(join(sk1,complement(one))))),bind(X_25,$fot(complement(converse(complement(meet(one,join(sk1,complement(one)))))))),bind(X_26,$fot(complement(one)))]]) ).
cnf(refute_0_2736,plain,
( join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one)))) != join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))))
| join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))) != join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))
| join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one)))) = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one)))))),bind(Y,$fot(join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))))),bind(Z,$fot(join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))))]]) ).
cnf(refute_0_2737,plain,
( join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))) != join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))
| join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one)))) = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one)))),join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one)))))))))) )],[refute_0_2735,refute_0_2736]) ).
cnf(refute_0_2738,plain,
join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one)))) = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(join(complement(one),complement(converse(complement(meet(one,join(sk1,complement(one))))))))),join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))) )],[refute_0_2724,refute_0_2737]) ).
cnf(refute_0_2739,plain,
( join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one)))) != join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))
| top != join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one))))
| top = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one))))) ),[1],$fot(join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_2740,plain,
( top != join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one))))
| top = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one)))),join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))) )],[refute_0_2738,refute_0_2739]) ).
cnf(refute_0_2741,plain,
top = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(top,join(complement(join(sk1,complement(one))),converse(join(complement(converse(complement(meet(one,join(sk1,complement(one)))))),complement(one))))) )],[refute_0_2715,refute_0_2740]) ).
cnf(refute_0_2742,plain,
meet(one,converse(complement(meet(one,join(sk1,complement(one)))))) = meet(one,converse(complement(meet(one,join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_2743,plain,
( converse(complement(meet(one,join(sk1,complement(one))))) != converse(complement(sk1))
| meet(one,converse(complement(meet(one,join(sk1,complement(one)))))) != meet(one,converse(complement(meet(one,join(sk1,complement(one))))))
| meet(one,converse(complement(meet(one,join(sk1,complement(one)))))) = meet(one,converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))),meet(one,converse(complement(meet(one,join(sk1,complement(one))))))) ),[1,1],$fot(converse(complement(sk1)))]]) ).
cnf(refute_0_2744,plain,
( converse(complement(meet(one,join(sk1,complement(one))))) != converse(complement(sk1))
| meet(one,converse(complement(meet(one,join(sk1,complement(one)))))) = meet(one,converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))),meet(one,converse(complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_2742,refute_0_2743]) ).
cnf(refute_0_2745,plain,
meet(one,converse(complement(meet(one,join(sk1,complement(one)))))) = meet(one,converse(complement(sk1))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,join(sk1,complement(one))))),converse(complement(sk1))) )],[refute_0_2337,refute_0_2744]) ).
cnf(refute_0_2746,plain,
complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))) = complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2747,plain,
( complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))) != complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))
| meet(one,converse(complement(meet(one,join(sk1,complement(one)))))) != meet(one,converse(complement(sk1)))
| complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))) = complement(meet(one,converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))),complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))) ),[1,0],$fot(meet(one,converse(complement(sk1))))]]) ).
cnf(refute_0_2748,plain,
( meet(one,converse(complement(meet(one,join(sk1,complement(one)))))) != meet(one,converse(complement(sk1)))
| complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))) = complement(meet(one,converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))),complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))) )],[refute_0_2746,refute_0_2747]) ).
cnf(refute_0_2749,plain,
complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))) = complement(meet(one,converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))),meet(one,converse(complement(sk1)))) )],[refute_0_2745,refute_0_2748]) ).
cnf(refute_0_2750,plain,
converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))) = converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2751,plain,
( complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))) != complement(meet(one,converse(complement(sk1))))
| converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))) != converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))
| converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))) = converse(complement(meet(one,converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) ),[1,0],$fot(complement(meet(one,converse(complement(sk1)))))]]) ).
cnf(refute_0_2752,plain,
( complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))) != complement(meet(one,converse(complement(sk1))))
| converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))) = converse(complement(meet(one,converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) )],[refute_0_2750,refute_0_2751]) ).
cnf(refute_0_2753,plain,
converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))) = converse(complement(meet(one,converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))),complement(meet(one,converse(complement(sk1))))) )],[refute_0_2749,refute_0_2752]) ).
cnf(refute_0_2754,plain,
join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))),
introduced(tautology,[refl,[$fot(join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_2755,plain,
( converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))) != converse(complement(meet(one,converse(complement(sk1)))))
| join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) != join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))
| join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))),join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))) ),[1,1],$fot(converse(complement(meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_2756,plain,
( converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))) != converse(complement(meet(one,converse(complement(sk1)))))
| join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))),join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))) )],[refute_0_2754,refute_0_2755]) ).
cnf(refute_0_2757,plain,
join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))),converse(complement(meet(one,converse(complement(sk1)))))) )],[refute_0_2753,refute_0_2756]) ).
cnf(refute_0_2758,plain,
( join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))) != join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1))))))
| top != join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))
| top = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))) ),[1],$fot(join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_2759,plain,
( top != join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))
| top = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one))))))))),join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1))))))) )],[refute_0_2757,refute_0_2758]) ).
cnf(refute_0_2760,plain,
top = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(top,join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(meet(one,join(sk1,complement(one)))))))))) )],[refute_0_2741,refute_0_2759]) ).
cnf(refute_0_2761,plain,
join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))) = join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))),
introduced(tautology,[refl,[$fot(join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_2762,plain,
( complement(join(sk1,complement(one))) != meet(one,complement(sk1))
| join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))) != join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1))))))
| join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))) = join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))),join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1))))))) ),[1,0],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_2763,plain,
( complement(join(sk1,complement(one))) != meet(one,complement(sk1))
| join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))) = join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))),join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1))))))) )],[refute_0_2761,refute_0_2762]) ).
cnf(refute_0_2764,plain,
join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))) = join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(one))),meet(one,complement(sk1))) )],[refute_0_2405,refute_0_2763]) ).
cnf(refute_0_2765,plain,
( join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))) != join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1))))))
| top != join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1))))))
| top = join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1))))))) ),[1],$fot(join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_2766,plain,
( top != join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1))))))
| top = join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1)))))),join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1))))))) )],[refute_0_2764,refute_0_2765]) ).
cnf(refute_0_2767,plain,
top = join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(top,join(complement(join(sk1,complement(one))),converse(complement(meet(one,converse(complement(sk1))))))) )],[refute_0_2760,refute_0_2766]) ).
cnf(refute_0_2768,plain,
( top != join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1))))))
| join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1))))))))]]) ).
cnf(refute_0_2769,plain,
join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1)))))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1))))))) )],[refute_0_2767,refute_0_2768]) ).
cnf(refute_0_2770,plain,
( join(A,join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1))))))) != join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A))
| join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1)))))) != top
| join(A,top) = join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1))))))),join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_2771,plain,
( join(A,join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1))))))) != join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A))
| join(A,top) = join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A)) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1)))))),top) )],[refute_0_2769,refute_0_2770]) ).
cnf(refute_0_2772,plain,
join(A,top) = join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A)),
inference(resolve,[$cnf( $equal(join(A,join(meet(one,complement(sk1)),converse(complement(meet(one,converse(complement(sk1))))))),join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A))) )],[refute_0_2711,refute_0_2771]) ).
cnf(refute_0_2773,plain,
join(A,top) = top,
inference(subst,[],[refute_0_319:[bind(X_39,$fot(A))]]) ).
cnf(refute_0_2774,plain,
( join(A,top) != join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A))
| join(A,top) != top
| top = join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,top),join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A))) ),[0],$fot(top)]]) ).
cnf(refute_0_2775,plain,
( join(A,top) != join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A))
| top = join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A)) ),
inference(resolve,[$cnf( $equal(join(A,top),top) )],[refute_0_2773,refute_0_2774]) ).
cnf(refute_0_2776,plain,
top = join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A)),
inference(resolve,[$cnf( $equal(join(A,top),join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),A))) )],[refute_0_2772,refute_0_2775]) ).
cnf(refute_0_2777,plain,
top = join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243)),
inference(subst,[],[refute_0_2776:[bind(A,$fot(X_243))]]) ).
cnf(refute_0_2778,plain,
( top != join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243))
| join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243))))]]) ).
cnf(refute_0_2779,plain,
join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243)) = top,
inference(resolve,[$cnf( $equal(top,join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243))) )],[refute_0_2777,refute_0_2778]) ).
cnf(refute_0_2780,plain,
( converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) != converse(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243)))
| join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243)) != top
| converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))),converse(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2781,plain,
( converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) != converse(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243)))
| converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243)),top) )],[refute_0_2779,refute_0_2780]) ).
cnf(refute_0_2782,plain,
converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))),converse(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243)))) )],[refute_0_2710,refute_0_2781]) ).
cnf(refute_0_2783,plain,
converse(join(converse(A),join(X_157,X_155))) = join(A,converse(join(X_157,X_155))),
inference(subst,[],[refute_0_705:[bind(X_12,$fot(join(X_157,X_155)))]]) ).
cnf(refute_0_2784,plain,
join(X_155,join(converse(A),X_157)) = join(converse(A),join(X_157,X_155)),
inference(subst,[],[refute_0_269:[bind(A,$fot(X_155)),bind(X_31,$fot(converse(A))),bind(X_32,$fot(X_157))]]) ).
cnf(refute_0_2785,plain,
( join(X_155,join(converse(A),X_157)) != join(converse(A),join(X_157,X_155))
| join(converse(A),join(X_157,X_155)) = join(X_155,join(converse(A),X_157)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_155,join(converse(A),X_157)))),bind(Y,$fot(join(converse(A),join(X_157,X_155))))]]) ).
cnf(refute_0_2786,plain,
join(converse(A),join(X_157,X_155)) = join(X_155,join(converse(A),X_157)),
inference(resolve,[$cnf( $equal(join(X_155,join(converse(A),X_157)),join(converse(A),join(X_157,X_155))) )],[refute_0_2784,refute_0_2785]) ).
cnf(refute_0_2787,plain,
( converse(join(converse(A),join(X_157,X_155))) != join(A,converse(join(X_157,X_155)))
| join(converse(A),join(X_157,X_155)) != join(X_155,join(converse(A),X_157))
| converse(join(X_155,join(converse(A),X_157))) = join(A,converse(join(X_157,X_155))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(X_157,X_155))),join(A,converse(join(X_157,X_155)))) ),[0,0],$fot(join(X_155,join(converse(A),X_157)))]]) ).
cnf(refute_0_2788,plain,
( converse(join(converse(A),join(X_157,X_155))) != join(A,converse(join(X_157,X_155)))
| converse(join(X_155,join(converse(A),X_157))) = join(A,converse(join(X_157,X_155))) ),
inference(resolve,[$cnf( $equal(join(converse(A),join(X_157,X_155)),join(X_155,join(converse(A),X_157))) )],[refute_0_2786,refute_0_2787]) ).
cnf(refute_0_2789,plain,
converse(join(X_155,join(converse(A),X_157))) = join(A,converse(join(X_157,X_155))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_157,X_155))),join(A,converse(join(X_157,X_155)))) )],[refute_0_2783,refute_0_2788]) ).
cnf(refute_0_2790,plain,
converse(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243))) = join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))),
inference(subst,[],[refute_0_2789:[bind(A,$fot(complement(meet(one,converse(complement(sk1)))))),bind(X_155,$fot(meet(one,complement(sk1)))),bind(X_157,$fot(X_243))]]) ).
cnf(refute_0_2791,plain,
( converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) != converse(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243)))
| converse(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243))) != join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1)))))
| converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) = join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))))),bind(Y,$fot(converse(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243))))),bind(Z,$fot(join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2792,plain,
( converse(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243))) != join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1)))))
| converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) = join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))),converse(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243)))) )],[refute_0_2710,refute_0_2791]) ).
cnf(refute_0_2793,plain,
converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) = join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(sk1)),join(converse(complement(meet(one,converse(complement(sk1))))),X_243))),join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1)))))) )],[refute_0_2790,refute_0_2792]) ).
cnf(refute_0_2794,plain,
( converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) != converse(top)
| converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) != join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1)))))
| join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))),converse(top)) ),[0],$fot(join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2795,plain,
( converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) != converse(top)
| join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))),join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1)))))) )],[refute_0_2793,refute_0_2794]) ).
cnf(refute_0_2796,plain,
( converse(top) != top
| join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))) != converse(top)
| join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_2797,plain,
( join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))) != converse(top)
| join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_2796]) ).
cnf(refute_0_2798,plain,
( converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))) != converse(top)
| join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))),converse(top)) )],[refute_0_2795,refute_0_2797]) ).
cnf(refute_0_2799,plain,
join(complement(meet(one,converse(complement(sk1)))),converse(join(X_243,meet(one,complement(sk1))))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(meet(one,converse(complement(sk1))))),X_243),meet(one,complement(sk1)))),converse(top)) )],[refute_0_2782,refute_0_2798]) ).
cnf(refute_0_2800,plain,
join(complement(meet(one,converse(complement(sk1)))),converse(join(complement(one),meet(one,complement(sk1))))) = top,
inference(subst,[],[refute_0_2799:[bind(X_243,$fot(complement(one)))]]) ).
cnf(refute_0_2801,plain,
( join(complement(meet(one,converse(complement(sk1)))),converse(join(complement(one),meet(one,complement(sk1))))) != top
| join(complement(one),meet(one,complement(sk1))) != complement(sk1)
| join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,converse(complement(sk1)))),converse(join(complement(one),meet(one,complement(sk1))))),top) ),[0,1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_2802,plain,
( join(complement(meet(one,converse(complement(sk1)))),converse(join(complement(one),meet(one,complement(sk1))))) != top
| join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1))) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(sk1))),complement(sk1)) )],[refute_0_2235,refute_0_2801]) ).
cnf(refute_0_2803,plain,
join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1))) = top,
inference(resolve,[$cnf( $equal(join(complement(meet(one,converse(complement(sk1)))),converse(join(complement(one),meet(one,complement(sk1))))),top) )],[refute_0_2800,refute_0_2802]) ).
cnf(refute_0_2804,plain,
join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1))) = join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(complement(sk1)))),bind(B,$fot(complement(meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_2805,plain,
( join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1))) != join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))
| join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1))) != top
| join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1))),top) ),[0],$fot(join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_2806,plain,
( join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1))) != top
| join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1))),join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))) )],[refute_0_2804,refute_0_2805]) ).
cnf(refute_0_2807,plain,
join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) = top,
inference(resolve,[$cnf( $equal(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1))),top) )],[refute_0_2803,refute_0_2806]) ).
cnf(refute_0_2808,plain,
( join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) != top
| meet(one,converse(complement(sk1))) != meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))))
| meet(one,converse(complement(sk1))) = meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(sk1))),meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_2809,plain,
( meet(one,converse(complement(sk1))) != meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))))
| meet(one,converse(complement(sk1))) = meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))),top) )],[refute_0_2807,refute_0_2808]) ).
cnf(refute_0_2810,plain,
meet(one,converse(complement(sk1))) = meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(sk1))),meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))))) )],[refute_0_2709,refute_0_2809]) ).
cnf(refute_0_2811,plain,
meet(meet(one,converse(complement(sk1))),converse(complement(sk1))) = meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(complement(sk1)))),bind(X_7,$fot(meet(one,converse(complement(sk1)))))]]) ).
cnf(refute_0_2812,plain,
join(zero,converse(complement(sk1))) = converse(complement(sk1)),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_2813,plain,
join(complement(top),converse(complement(sk1))) = join(complement(top),converse(complement(sk1))),
introduced(tautology,[refl,[$fot(join(complement(top),converse(complement(sk1))))]]) ).
cnf(refute_0_2814,plain,
( complement(top) != zero
| join(complement(top),converse(complement(sk1))) != join(complement(top),converse(complement(sk1)))
| join(complement(top),converse(complement(sk1))) = join(zero,converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),converse(complement(sk1))),join(complement(top),converse(complement(sk1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2815,plain,
( complement(top) != zero
| join(complement(top),converse(complement(sk1))) = join(zero,converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),converse(complement(sk1))),join(complement(top),converse(complement(sk1)))) )],[refute_0_2813,refute_0_2814]) ).
cnf(refute_0_2816,plain,
join(complement(top),converse(complement(sk1))) = join(zero,converse(complement(sk1))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_2815]) ).
cnf(refute_0_2817,plain,
( join(complement(top),converse(complement(sk1))) != join(zero,converse(complement(sk1)))
| join(zero,converse(complement(sk1))) != converse(complement(sk1))
| join(complement(top),converse(complement(sk1))) = converse(complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(top),converse(complement(sk1))))),bind(Y,$fot(join(zero,converse(complement(sk1))))),bind(Z,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_2818,plain,
( join(zero,converse(complement(sk1))) != converse(complement(sk1))
| join(complement(top),converse(complement(sk1))) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(top),converse(complement(sk1))),join(zero,converse(complement(sk1)))) )],[refute_0_2816,refute_0_2817]) ).
cnf(refute_0_2819,plain,
join(complement(top),converse(complement(sk1))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(sk1))),converse(complement(sk1))) )],[refute_0_2812,refute_0_2818]) ).
cnf(refute_0_2820,plain,
join(converse(complement(sk1)),complement(top)) = join(complement(top),converse(complement(sk1))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_2821,plain,
( join(complement(top),converse(complement(sk1))) != converse(complement(sk1))
| join(converse(complement(sk1)),complement(top)) != join(complement(top),converse(complement(sk1)))
| join(converse(complement(sk1)),complement(top)) = converse(complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(sk1)),complement(top)))),bind(Y,$fot(join(complement(top),converse(complement(sk1))))),bind(Z,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_2822,plain,
( join(complement(top),converse(complement(sk1))) != converse(complement(sk1))
| join(converse(complement(sk1)),complement(top)) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(sk1)),complement(top)),join(complement(top),converse(complement(sk1)))) )],[refute_0_2820,refute_0_2821]) ).
cnf(refute_0_2823,plain,
join(converse(complement(sk1)),complement(top)) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(top),converse(complement(sk1))),converse(complement(sk1))) )],[refute_0_2819,refute_0_2822]) ).
cnf(refute_0_2824,plain,
meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))) = meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))),
introduced(tautology,[refl,[$fot(meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))))]]) ).
cnf(refute_0_2825,plain,
( join(converse(complement(sk1)),complement(top)) != converse(complement(sk1))
| meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))) != meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top)))
| meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))) = meet(meet(one,converse(complement(sk1))),converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))),meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top)))) ),[1,1],$fot(converse(complement(sk1)))]]) ).
cnf(refute_0_2826,plain,
( join(converse(complement(sk1)),complement(top)) != converse(complement(sk1))
| meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))) = meet(meet(one,converse(complement(sk1))),converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))),meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top)))) )],[refute_0_2824,refute_0_2825]) ).
cnf(refute_0_2827,plain,
meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))) = meet(meet(one,converse(complement(sk1))),converse(complement(sk1))),
inference(resolve,[$cnf( $equal(join(converse(complement(sk1)),complement(top)),converse(complement(sk1))) )],[refute_0_2823,refute_0_2826]) ).
cnf(refute_0_2828,plain,
( meet(meet(one,converse(complement(sk1))),converse(complement(sk1))) != meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))
| meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))) != meet(meet(one,converse(complement(sk1))),converse(complement(sk1)))
| meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))) = meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))))),bind(Y,$fot(meet(meet(one,converse(complement(sk1))),converse(complement(sk1))))),bind(Z,$fot(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_2829,plain,
( meet(meet(one,converse(complement(sk1))),converse(complement(sk1))) != meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))
| meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))) = meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))),meet(meet(one,converse(complement(sk1))),converse(complement(sk1)))) )],[refute_0_2827,refute_0_2828]) ).
cnf(refute_0_2830,plain,
meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))) = meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(meet(one,converse(complement(sk1))),converse(complement(sk1))),meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))) )],[refute_0_2811,refute_0_2829]) ).
cnf(refute_0_2831,plain,
( meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))) != meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))
| meet(one,converse(complement(sk1))) != meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top)))
| meet(one,converse(complement(sk1))) = meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(sk1))),meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top)))) ),[1],$fot(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))]]) ).
cnf(refute_0_2832,plain,
( meet(one,converse(complement(sk1))) != meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top)))
| meet(one,converse(complement(sk1))) = meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top))),meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))) )],[refute_0_2830,refute_0_2831]) ).
cnf(refute_0_2833,plain,
meet(one,converse(complement(sk1))) = meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(sk1))),meet(meet(one,converse(complement(sk1))),join(converse(complement(sk1)),complement(top)))) )],[refute_0_2810,refute_0_2832]) ).
cnf(refute_0_2834,plain,
( meet(one,converse(complement(sk1))) != meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))
| meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))) = meet(one,converse(complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(one,converse(complement(sk1))))),bind(Y,$fot(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_2835,plain,
meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))) = meet(one,converse(complement(sk1))),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(sk1))),meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))) )],[refute_0_2833,refute_0_2834]) ).
cnf(refute_0_2836,plain,
complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))) = complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_2837,plain,
( complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))) != complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))
| meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))) != meet(one,converse(complement(sk1)))
| complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))) = complement(meet(one,converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))),complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) ),[1,0],$fot(meet(one,converse(complement(sk1))))]]) ).
cnf(refute_0_2838,plain,
( meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))) != meet(one,converse(complement(sk1)))
| complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))) = complement(meet(one,converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))),complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) )],[refute_0_2836,refute_0_2837]) ).
cnf(refute_0_2839,plain,
complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))) = complement(meet(one,converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))),meet(one,converse(complement(sk1)))) )],[refute_0_2835,refute_0_2838]) ).
cnf(refute_0_2840,plain,
meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) = meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_2841,plain,
( complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))) != complement(meet(one,converse(complement(sk1))))
| meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))
| meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) = meet(one,complement(meet(one,converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) ),[1,1],$fot(complement(meet(one,converse(complement(sk1)))))]]) ).
cnf(refute_0_2842,plain,
( complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))) != complement(meet(one,converse(complement(sk1))))
| meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) = meet(one,complement(meet(one,converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) )],[refute_0_2840,refute_0_2841]) ).
cnf(refute_0_2843,plain,
meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) = meet(one,complement(meet(one,converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))),complement(meet(one,converse(complement(sk1))))) )],[refute_0_2839,refute_0_2842]) ).
cnf(refute_0_2844,plain,
( meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != complement(converse(complement(sk1)))
| meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != meet(one,complement(meet(one,converse(complement(sk1)))))
| meet(one,complement(meet(one,converse(complement(sk1))))) = complement(converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),complement(converse(complement(sk1)))) ),[0],$fot(meet(one,complement(meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_2845,plain,
( meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != complement(converse(complement(sk1)))
| meet(one,complement(meet(one,converse(complement(sk1))))) = complement(converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),meet(one,complement(meet(one,converse(complement(sk1)))))) )],[refute_0_2843,refute_0_2844]) ).
cnf(refute_0_2846,plain,
meet(one,complement(meet(one,converse(complement(sk1))))) = complement(converse(complement(sk1))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),complement(converse(complement(sk1)))) )],[refute_0_2701,refute_0_2845]) ).
cnf(refute_0_2847,plain,
meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) = complement(complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_2848,plain,
complement(converse(meet(one,complement(sk1)))) = join(meet(complement(one),complement(converse(meet(one,complement(sk1))))),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))),
inference(subst,[],[refute_0_1502:[bind(X_97,$fot(complement(converse(meet(one,complement(sk1)))))),bind(X_98,$fot(complement(one)))]]) ).
cnf(refute_0_2849,plain,
complement(one) = meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(join(one,complement(converse(complement(join(sk1,complement(one))))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(complement(converse(complement(join(sk1,complement(one))))))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_2850,plain,
converse(converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))) = join(one,complement(converse(complement(join(sk1,complement(one)))))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2851,plain,
( converse(converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))) != join(one,complement(converse(complement(join(sk1,complement(one))))))
| converse(join(one,complement(converse(complement(join(sk1,complement(one))))))) != top
| converse(top) = join(one,complement(converse(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))),join(one,complement(converse(complement(join(sk1,complement(one))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2852,plain,
( converse(converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))) != join(one,complement(converse(complement(join(sk1,complement(one))))))
| converse(top) = join(one,complement(converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(complement(join(sk1,complement(one))))))),top) )],[refute_0_1607,refute_0_2851]) ).
cnf(refute_0_2853,plain,
converse(top) = join(one,complement(converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(converse(complement(join(sk1,complement(one)))))))),join(one,complement(converse(complement(join(sk1,complement(one))))))) )],[refute_0_2850,refute_0_2852]) ).
cnf(refute_0_2854,plain,
( converse(top) != join(one,complement(converse(complement(join(sk1,complement(one))))))
| converse(top) != top
| top = join(one,complement(converse(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(one,complement(converse(complement(join(sk1,complement(one))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_2855,plain,
( converse(top) != join(one,complement(converse(complement(join(sk1,complement(one))))))
| top = join(one,complement(converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_2854]) ).
cnf(refute_0_2856,plain,
top = join(one,complement(converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(converse(top),join(one,complement(converse(complement(join(sk1,complement(one))))))) )],[refute_0_2853,refute_0_2855]) ).
cnf(refute_0_2857,plain,
( top != join(one,complement(converse(complement(join(sk1,complement(one))))))
| join(one,complement(converse(complement(join(sk1,complement(one)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2858,plain,
join(one,complement(converse(complement(join(sk1,complement(one)))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(converse(complement(join(sk1,complement(one))))))) )],[refute_0_2856,refute_0_2857]) ).
cnf(refute_0_2859,plain,
( complement(one) != meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(join(one,complement(converse(complement(join(sk1,complement(one)))))))))
| join(one,complement(converse(complement(join(sk1,complement(one)))))) != top
| complement(one) = meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(join(one,complement(converse(complement(join(sk1,complement(one)))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_2860,plain,
( complement(one) != meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(join(one,complement(converse(complement(join(sk1,complement(one)))))))))
| complement(one) = meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(complement(join(sk1,complement(one)))))),top) )],[refute_0_2858,refute_0_2859]) ).
cnf(refute_0_2861,plain,
complement(one) = meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(join(one,complement(converse(complement(join(sk1,complement(one)))))))))) )],[refute_0_2849,refute_0_2860]) ).
cnf(refute_0_2862,plain,
meet(converse(complement(join(sk1,complement(one)))),top) = converse(complement(join(sk1,complement(one)))),
inference(subst,[],[refute_0_1906:[bind(X_97,$fot(converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_2863,plain,
complement(meet(converse(complement(join(sk1,complement(one)))),top)) = complement(meet(converse(complement(join(sk1,complement(one)))),top)),
introduced(tautology,[refl,[$fot(complement(meet(converse(complement(join(sk1,complement(one)))),top)))]]) ).
cnf(refute_0_2864,plain,
( complement(meet(converse(complement(join(sk1,complement(one)))),top)) != complement(meet(converse(complement(join(sk1,complement(one)))),top))
| meet(converse(complement(join(sk1,complement(one)))),top) != converse(complement(join(sk1,complement(one))))
| complement(meet(converse(complement(join(sk1,complement(one)))),top)) = complement(converse(complement(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(complement(join(sk1,complement(one)))),top)),complement(meet(converse(complement(join(sk1,complement(one)))),top))) ),[1,0],$fot(converse(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_2865,plain,
( meet(converse(complement(join(sk1,complement(one)))),top) != converse(complement(join(sk1,complement(one))))
| complement(meet(converse(complement(join(sk1,complement(one)))),top)) = complement(converse(complement(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(join(sk1,complement(one)))),top)),complement(meet(converse(complement(join(sk1,complement(one)))),top))) )],[refute_0_2863,refute_0_2864]) ).
cnf(refute_0_2866,plain,
complement(meet(converse(complement(join(sk1,complement(one)))),top)) = complement(converse(complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(join(sk1,complement(one)))),top),converse(complement(join(sk1,complement(one))))) )],[refute_0_2862,refute_0_2865]) ).
cnf(refute_0_2867,plain,
join(complement(converse(complement(join(sk1,complement(one))))),complement(top)) = complement(meet(converse(complement(join(sk1,complement(one)))),top)),
inference(subst,[],[refute_0_1144:[bind(A,$fot(converse(complement(join(sk1,complement(one)))))),bind(B,$fot(top))]]) ).
cnf(refute_0_2868,plain,
( complement(meet(converse(complement(join(sk1,complement(one)))),top)) != complement(converse(complement(join(sk1,complement(one)))))
| join(complement(converse(complement(join(sk1,complement(one))))),complement(top)) != complement(meet(converse(complement(join(sk1,complement(one)))),top))
| join(complement(converse(complement(join(sk1,complement(one))))),complement(top)) = complement(converse(complement(join(sk1,complement(one))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(complement(join(sk1,complement(one))))),complement(top)))),bind(Y,$fot(complement(meet(converse(complement(join(sk1,complement(one)))),top)))),bind(Z,$fot(complement(converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_2869,plain,
( complement(meet(converse(complement(join(sk1,complement(one)))),top)) != complement(converse(complement(join(sk1,complement(one)))))
| join(complement(converse(complement(join(sk1,complement(one))))),complement(top)) = complement(converse(complement(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(sk1,complement(one))))),complement(top)),complement(meet(converse(complement(join(sk1,complement(one)))),top))) )],[refute_0_2867,refute_0_2868]) ).
cnf(refute_0_2870,plain,
join(complement(converse(complement(join(sk1,complement(one))))),complement(top)) = complement(converse(complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(join(sk1,complement(one)))),top)),complement(converse(complement(join(sk1,complement(one)))))) )],[refute_0_2866,refute_0_2869]) ).
cnf(refute_0_2871,plain,
meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))) = meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))))]]) ).
cnf(refute_0_2872,plain,
( join(complement(converse(complement(join(sk1,complement(one))))),complement(top)) != complement(converse(complement(join(sk1,complement(one)))))
| meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))) != meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top)))
| meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))) = meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))),meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top)))) ),[1,1],$fot(complement(converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_2873,plain,
( join(complement(converse(complement(join(sk1,complement(one))))),complement(top)) != complement(converse(complement(join(sk1,complement(one)))))
| meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))) = meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))),meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top)))) )],[refute_0_2871,refute_0_2872]) ).
cnf(refute_0_2874,plain,
meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))) = meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(sk1,complement(one))))),complement(top)),complement(converse(complement(join(sk1,complement(one)))))) )],[refute_0_2870,refute_0_2873]) ).
cnf(refute_0_2875,plain,
( complement(one) != meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top)))
| meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))) != meet(complement(one),complement(converse(complement(join(sk1,complement(one))))))
| complement(one) = meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(converse(complement(join(sk1,complement(one))))))) ),[0],$fot(meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))))]]) ).
cnf(refute_0_2876,plain,
( complement(one) != meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top)))
| complement(one) = meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top))),meet(complement(one),complement(converse(complement(join(sk1,complement(one))))))) )],[refute_0_2874,refute_0_2875]) ).
cnf(refute_0_2877,plain,
complement(one) = meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(complement(join(sk1,complement(one))))),complement(top)))) )],[refute_0_2861,refute_0_2876]) ).
cnf(refute_0_2878,plain,
meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))) = meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_2879,plain,
( complement(converse(complement(join(sk1,complement(one))))) != complement(converse(meet(one,complement(sk1))))
| meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))) != meet(complement(one),complement(converse(complement(join(sk1,complement(one))))))
| meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))) = meet(complement(one),complement(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))),meet(complement(one),complement(converse(complement(join(sk1,complement(one))))))) ),[1,1],$fot(complement(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2880,plain,
( complement(converse(complement(join(sk1,complement(one))))) != complement(converse(meet(one,complement(sk1))))
| meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))) = meet(complement(one),complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))),meet(complement(one),complement(converse(complement(join(sk1,complement(one))))))) )],[refute_0_2878,refute_0_2879]) ).
cnf(refute_0_2881,plain,
meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))) = meet(complement(one),complement(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(sk1,complement(one))))),complement(converse(meet(one,complement(sk1))))) )],[refute_0_2515,refute_0_2880]) ).
cnf(refute_0_2882,plain,
( complement(one) != meet(complement(one),complement(converse(complement(join(sk1,complement(one))))))
| meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))) != meet(complement(one),complement(converse(meet(one,complement(sk1)))))
| complement(one) = meet(complement(one),complement(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(converse(meet(one,complement(sk1)))))) ),[0],$fot(meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_2883,plain,
( complement(one) != meet(complement(one),complement(converse(complement(join(sk1,complement(one))))))
| complement(one) = meet(complement(one),complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))),meet(complement(one),complement(converse(meet(one,complement(sk1)))))) )],[refute_0_2881,refute_0_2882]) ).
cnf(refute_0_2884,plain,
complement(one) = meet(complement(one),complement(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(converse(complement(join(sk1,complement(one))))))) )],[refute_0_2877,refute_0_2883]) ).
cnf(refute_0_2885,plain,
( complement(one) != meet(complement(one),complement(converse(meet(one,complement(sk1)))))
| meet(complement(one),complement(converse(meet(one,complement(sk1))))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2886,plain,
meet(complement(one),complement(converse(meet(one,complement(sk1))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(converse(meet(one,complement(sk1)))))) )],[refute_0_2884,refute_0_2885]) ).
cnf(refute_0_2887,plain,
( complement(converse(meet(one,complement(sk1)))) != join(meet(complement(one),complement(converse(meet(one,complement(sk1))))),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))
| meet(complement(one),complement(converse(meet(one,complement(sk1))))) != complement(one)
| complement(converse(meet(one,complement(sk1)))) = join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),join(meet(complement(one),complement(converse(meet(one,complement(sk1))))),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_2888,plain,
( complement(converse(meet(one,complement(sk1)))) != join(meet(complement(one),complement(converse(meet(one,complement(sk1))))),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))
| complement(converse(meet(one,complement(sk1)))) = join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(meet(one,complement(sk1))))),complement(one)) )],[refute_0_2886,refute_0_2887]) ).
cnf(refute_0_2889,plain,
complement(converse(meet(one,complement(sk1)))) = join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),join(meet(complement(one),complement(converse(meet(one,complement(sk1))))),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))) )],[refute_0_2848,refute_0_2888]) ).
cnf(refute_0_2890,plain,
join(complement(one),complement(complement(converse(meet(one,complement(sk1)))))) = complement(meet(one,complement(converse(meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2891,plain,
join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)) = join(complement(one),complement(complement(converse(meet(one,complement(sk1)))))),
inference(subst,[],[refute_0_2226:[bind(A,$fot(complement(complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2892,plain,
( join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)) != join(complement(one),complement(complement(converse(meet(one,complement(sk1))))))
| join(complement(one),complement(complement(converse(meet(one,complement(sk1)))))) != complement(meet(one,complement(converse(meet(one,complement(sk1))))))
| join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)) = complement(meet(one,complement(converse(meet(one,complement(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))),bind(Y,$fot(join(complement(one),complement(complement(converse(meet(one,complement(sk1)))))))),bind(Z,$fot(complement(meet(one,complement(converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_2893,plain,
( join(complement(one),complement(complement(converse(meet(one,complement(sk1)))))) != complement(meet(one,complement(converse(meet(one,complement(sk1))))))
| join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)) = complement(meet(one,complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)),join(complement(one),complement(complement(converse(meet(one,complement(sk1))))))) )],[refute_0_2891,refute_0_2892]) ).
cnf(refute_0_2894,plain,
join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)) = complement(meet(one,complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(complement(converse(meet(one,complement(sk1)))))),complement(meet(one,complement(converse(meet(one,complement(sk1))))))) )],[refute_0_2890,refute_0_2893]) ).
cnf(refute_0_2895,plain,
meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))) = meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))]]) ).
cnf(refute_0_2896,plain,
( join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)) != complement(meet(one,complement(converse(meet(one,complement(sk1))))))
| meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))) != meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))
| meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))) = meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))),meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) ),[1,1],$fot(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2897,plain,
( join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)) != complement(meet(one,complement(converse(meet(one,complement(sk1))))))
| meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))) = meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))),meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) )],[refute_0_2895,refute_0_2896]) ).
cnf(refute_0_2898,plain,
meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))) = meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)),complement(meet(one,complement(converse(meet(one,complement(sk1))))))) )],[refute_0_2894,refute_0_2897]) ).
cnf(refute_0_2899,plain,
complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) = complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))))]]) ).
cnf(refute_0_2900,plain,
( complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) != complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))
| meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))) != meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))
| complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) = complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))),complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))) ),[1,0],$fot(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_2901,plain,
( meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))) != meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))
| complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) = complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))),complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))) )],[refute_0_2899,refute_0_2900]) ).
cnf(refute_0_2902,plain,
complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) = complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))),meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_2898,refute_0_2901]) ).
cnf(refute_0_2903,plain,
join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) = complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))]]) ).
cnf(refute_0_2904,plain,
( complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) != complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))))
| join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) != complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))
| join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) = complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))))),bind(Y,$fot(complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))))),bind(Z,$fot(complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))))))]]) ).
cnf(refute_0_2905,plain,
( complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) != complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))))
| join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) = complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))),complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))) )],[refute_0_2903,refute_0_2904]) ).
cnf(refute_0_2906,plain,
join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) = complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))),complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))))) )],[refute_0_2902,refute_0_2905]) ).
cnf(refute_0_2907,plain,
( complement(converse(meet(one,complement(sk1)))) != join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))
| join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))) != complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))))
| complement(converse(meet(one,complement(sk1)))) = complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(meet(one,complement(sk1)))),complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))))) ),[0],$fot(join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))))]]) ).
cnf(refute_0_2908,plain,
( complement(converse(meet(one,complement(sk1)))) != join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))
| complement(converse(meet(one,complement(sk1)))) = complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one)))),complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))))) )],[refute_0_2906,refute_0_2907]) ).
cnf(refute_0_2909,plain,
complement(converse(meet(one,complement(sk1)))) = complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),join(complement(one),complement(join(complement(complement(converse(meet(one,complement(sk1))))),complement(one))))) )],[refute_0_2889,refute_0_2908]) ).
cnf(refute_0_2910,plain,
( complement(converse(meet(one,complement(sk1)))) != complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))))
| complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) = complement(converse(meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(meet(one,complement(sk1)))))),bind(Y,$fot(complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))))))]]) ).
cnf(refute_0_2911,plain,
complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) = complement(converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))))) )],[refute_0_2909,refute_0_2910]) ).
cnf(refute_0_2912,plain,
( complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) != complement(converse(meet(one,complement(sk1))))
| meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) != complement(complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))))
| meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) = complement(complement(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),complement(complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))))) ),[1,0],$fot(complement(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2913,plain,
( meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) != complement(complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))))
| meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) = complement(complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))),complement(converse(meet(one,complement(sk1))))) )],[refute_0_2911,refute_0_2912]) ).
cnf(refute_0_2914,plain,
meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) = complement(complement(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),complement(complement(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))))) )],[refute_0_2847,refute_0_2913]) ).
cnf(refute_0_2915,plain,
complement(complement(converse(meet(one,complement(sk1))))) = converse(meet(one,complement(sk1))),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2916,plain,
( complement(complement(converse(meet(one,complement(sk1))))) != converse(meet(one,complement(sk1)))
| meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) != complement(complement(converse(meet(one,complement(sk1)))))
| meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) = converse(meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),complement(complement(converse(meet(one,complement(sk1)))))) ),[1],$fot(converse(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2917,plain,
( meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) != complement(complement(converse(meet(one,complement(sk1)))))
| meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) = converse(meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(sk1))))),converse(meet(one,complement(sk1)))) )],[refute_0_2915,refute_0_2916]) ).
cnf(refute_0_2918,plain,
meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) = converse(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),complement(complement(converse(meet(one,complement(sk1)))))) )],[refute_0_2914,refute_0_2917]) ).
cnf(refute_0_2919,plain,
complement(meet(one,complement(converse(meet(one,complement(sk1)))))) = join(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))),
inference(subst,[],[refute_0_1502:[bind(X_97,$fot(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))),bind(X_98,$fot(one))]]) ).
cnf(refute_0_2920,plain,
( complement(meet(one,complement(converse(meet(one,complement(sk1)))))) != join(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)))
| meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) != converse(meet(one,complement(sk1)))
| complement(meet(one,complement(converse(meet(one,complement(sk1)))))) = join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(converse(meet(one,complement(sk1)))))),join(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)))) ),[1,0],$fot(converse(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2921,plain,
( complement(meet(one,complement(converse(meet(one,complement(sk1)))))) != join(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)))
| complement(meet(one,complement(converse(meet(one,complement(sk1)))))) = join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),converse(meet(one,complement(sk1)))) )],[refute_0_2918,refute_0_2920]) ).
cnf(refute_0_2922,plain,
complement(meet(one,complement(converse(meet(one,complement(sk1)))))) = join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(meet(one,complement(sk1)))))),join(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)))) )],[refute_0_2919,refute_0_2921]) ).
cnf(refute_0_2923,plain,
converse(join(complement(one),meet(one,complement(sk1)))) = converse(join(complement(one),meet(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2924,plain,
( converse(join(complement(one),meet(one,complement(sk1)))) != converse(join(complement(one),meet(one,complement(sk1))))
| join(complement(one),meet(one,complement(sk1))) != complement(sk1)
| converse(join(complement(one),meet(one,complement(sk1)))) = converse(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),meet(one,complement(sk1)))),converse(join(complement(one),meet(one,complement(sk1))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_2925,plain,
( join(complement(one),meet(one,complement(sk1))) != complement(sk1)
| converse(join(complement(one),meet(one,complement(sk1)))) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(sk1)))),converse(join(complement(one),meet(one,complement(sk1))))) )],[refute_0_2923,refute_0_2924]) ).
cnf(refute_0_2926,plain,
converse(join(complement(one),meet(one,complement(sk1)))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(sk1))),complement(sk1)) )],[refute_0_2235,refute_0_2925]) ).
cnf(refute_0_2927,plain,
join(complement(one),converse(meet(one,complement(sk1)))) = converse(join(complement(one),meet(one,complement(sk1)))),
inference(subst,[],[refute_0_1764:[bind(X_12,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2928,plain,
( converse(join(complement(one),meet(one,complement(sk1)))) != converse(complement(sk1))
| join(complement(one),converse(meet(one,complement(sk1)))) != converse(join(complement(one),meet(one,complement(sk1))))
| join(complement(one),converse(meet(one,complement(sk1)))) = converse(complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),converse(meet(one,complement(sk1)))))),bind(Y,$fot(converse(join(complement(one),meet(one,complement(sk1)))))),bind(Z,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_2929,plain,
( converse(join(complement(one),meet(one,complement(sk1)))) != converse(complement(sk1))
| join(complement(one),converse(meet(one,complement(sk1)))) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(sk1)))),converse(join(complement(one),meet(one,complement(sk1))))) )],[refute_0_2927,refute_0_2928]) ).
cnf(refute_0_2930,plain,
join(complement(one),converse(meet(one,complement(sk1)))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(sk1)))),converse(complement(sk1))) )],[refute_0_2926,refute_0_2929]) ).
cnf(refute_0_2931,plain,
join(converse(meet(one,complement(sk1))),complement(one)) = join(complement(one),converse(meet(one,complement(sk1)))),
inference(subst,[],[refute_0_2226:[bind(A,$fot(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2932,plain,
( join(complement(one),converse(meet(one,complement(sk1)))) != converse(complement(sk1))
| join(converse(meet(one,complement(sk1))),complement(one)) != join(complement(one),converse(meet(one,complement(sk1))))
| join(converse(meet(one,complement(sk1))),complement(one)) = converse(complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(meet(one,complement(sk1))),complement(one)))),bind(Y,$fot(join(complement(one),converse(meet(one,complement(sk1)))))),bind(Z,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_2933,plain,
( join(complement(one),converse(meet(one,complement(sk1)))) != converse(complement(sk1))
| join(converse(meet(one,complement(sk1))),complement(one)) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(one)),join(complement(one),converse(meet(one,complement(sk1))))) )],[refute_0_2931,refute_0_2932]) ).
cnf(refute_0_2934,plain,
join(converse(meet(one,complement(sk1))),complement(one)) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(sk1)))),converse(complement(sk1))) )],[refute_0_2930,refute_0_2933]) ).
cnf(refute_0_2935,plain,
converse(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) = join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_2936,plain,
( converse(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) != join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) != one
| converse(one) = join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))),join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_2937,plain,
( converse(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) != join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| converse(one) = join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),one) )],[refute_0_2481,refute_0_2936]) ).
cnf(refute_0_2938,plain,
converse(one) = join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))),join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_2935,refute_0_2937]) ).
cnf(refute_0_2939,plain,
( converse(one) != join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| converse(one) != one
| one = join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(one),join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_2940,plain,
( converse(one) != join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| one = join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_2939]) ).
cnf(refute_0_2941,plain,
one = join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(one),join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_2938,refute_0_2940]) ).
cnf(refute_0_2942,plain,
join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))) = join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_2943,plain,
( join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))) != join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| meet(one,complement(converse(complement(join(sk1,complement(one)))))) != meet(one,complement(converse(meet(one,complement(sk1)))))
| join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))) = join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))),join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),[1,1],$fot(meet(one,complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2944,plain,
( meet(one,complement(converse(complement(join(sk1,complement(one)))))) != meet(one,complement(converse(meet(one,complement(sk1)))))
| join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))) = join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))),join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_2942,refute_0_2943]) ).
cnf(refute_0_2945,plain,
join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))) = join(one,meet(one,complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(join(sk1,complement(one)))))),meet(one,complement(converse(meet(one,complement(sk1)))))) )],[refute_0_2519,refute_0_2944]) ).
cnf(refute_0_2946,plain,
( join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))) != join(one,meet(one,complement(converse(meet(one,complement(sk1))))))
| one != join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| one = join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),[1],$fot(join(one,meet(one,complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2947,plain,
( one != join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| one = join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(converse(complement(join(sk1,complement(one))))))),join(one,meet(one,complement(converse(meet(one,complement(sk1))))))) )],[refute_0_2945,refute_0_2946]) ).
cnf(refute_0_2948,plain,
one = join(one,meet(one,complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(one,join(one,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_2941,refute_0_2947]) ).
cnf(refute_0_2949,plain,
( one != join(one,meet(one,complement(converse(meet(one,complement(sk1))))))
| join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(one,complement(converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_2950,plain,
join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(one,complement(converse(meet(one,complement(sk1))))))) )],[refute_0_2948,refute_0_2949]) ).
cnf(refute_0_2951,plain,
complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))) = meet(one,complement(converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(meet(one,complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2952,plain,
join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) = join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))),
introduced(tautology,[refl,[$fot(join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_2953,plain,
( complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))) != meet(one,complement(converse(meet(one,complement(sk1)))))
| join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) != join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))))
| join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) = join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))),join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))))) ),[1,1],$fot(meet(one,complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2954,plain,
( complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))) != meet(one,complement(converse(meet(one,complement(sk1)))))
| join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) = join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))),join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))))) )],[refute_0_2952,refute_0_2953]) ).
cnf(refute_0_2955,plain,
join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) = join(one,meet(one,complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),meet(one,complement(converse(meet(one,complement(sk1)))))) )],[refute_0_2951,refute_0_2954]) ).
cnf(refute_0_2956,plain,
( join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) != join(one,meet(one,complement(converse(meet(one,complement(sk1))))))
| join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) != one
| join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))))),bind(Y,$fot(join(one,meet(one,complement(converse(meet(one,complement(sk1)))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_2957,plain,
( join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) != one
| join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))),join(one,meet(one,complement(converse(meet(one,complement(sk1))))))) )],[refute_0_2955,refute_0_2956]) ).
cnf(refute_0_2958,plain,
join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) = one,
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(converse(meet(one,complement(sk1)))))),one) )],[refute_0_2950,refute_0_2957]) ).
cnf(refute_0_2959,plain,
join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one) = join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))),
inference(subst,[],[refute_0_1401:[bind(A,$fot(complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_2960,plain,
( join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one) != join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))))
| join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) != one
| join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))),bind(Y,$fot(join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_2961,plain,
( join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) != one
| join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one) = one ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one),join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))))) )],[refute_0_2959,refute_0_2960]) ).
cnf(refute_0_2962,plain,
join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one) = one,
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(one,complement(converse(meet(one,complement(sk1)))))))),one) )],[refute_0_2958,refute_0_2961]) ).
cnf(refute_0_2963,plain,
complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)) = complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)))]]) ).
cnf(refute_0_2964,plain,
( complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)) != complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))
| join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one) != one
| complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2965,plain,
( join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one) != one
| complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) )],[refute_0_2963,refute_0_2964]) ).
cnf(refute_0_2966,plain,
complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one),one) )],[refute_0_2962,refute_0_2965]) ).
cnf(refute_0_2967,plain,
join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) = join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))))]]) ).
cnf(refute_0_2968,plain,
( complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)) != complement(one)
| join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) != join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)))
| join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) = join(converse(meet(one,complement(sk1))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))),join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_2969,plain,
( complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)) != complement(one)
| join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) = join(converse(meet(one,complement(sk1))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))),join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)))) )],[refute_0_2967,refute_0_2968]) ).
cnf(refute_0_2970,plain,
join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) = join(converse(meet(one,complement(sk1))),complement(one)),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)),complement(one)) )],[refute_0_2966,refute_0_2969]) ).
cnf(refute_0_2971,plain,
( join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) != join(converse(meet(one,complement(sk1))),complement(one))
| join(converse(meet(one,complement(sk1))),complement(one)) != converse(complement(sk1))
| join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) = converse(complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))))),bind(Y,$fot(join(converse(meet(one,complement(sk1))),complement(one)))),bind(Z,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_2972,plain,
( join(converse(meet(one,complement(sk1))),complement(one)) != converse(complement(sk1))
| join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))),join(converse(meet(one,complement(sk1))),complement(one))) )],[refute_0_2970,refute_0_2971]) ).
cnf(refute_0_2973,plain,
join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(one)),converse(complement(sk1))) )],[refute_0_2934,refute_0_2972]) ).
cnf(refute_0_2974,plain,
( complement(meet(one,complement(converse(meet(one,complement(sk1)))))) != join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)))
| join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))) != converse(complement(sk1))
| complement(meet(one,complement(converse(meet(one,complement(sk1)))))) = converse(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(converse(meet(one,complement(sk1)))))),converse(complement(sk1))) ),[0],$fot(join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))))]]) ).
cnf(refute_0_2975,plain,
( complement(meet(one,complement(converse(meet(one,complement(sk1)))))) != join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)))
| complement(meet(one,complement(converse(meet(one,complement(sk1)))))) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one))),converse(complement(sk1))) )],[refute_0_2973,refute_0_2974]) ).
cnf(refute_0_2976,plain,
complement(meet(one,complement(converse(meet(one,complement(sk1)))))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(meet(one,complement(sk1)))))),join(converse(meet(one,complement(sk1))),complement(join(complement(complement(meet(one,complement(converse(meet(one,complement(sk1))))))),one)))) )],[refute_0_2922,refute_0_2975]) ).
cnf(refute_0_2977,plain,
meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) = meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_2978,plain,
( complement(meet(one,complement(converse(meet(one,complement(sk1)))))) != converse(complement(sk1))
| meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) != meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))
| meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) = meet(one,converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) ),[1,1],$fot(converse(complement(sk1)))]]) ).
cnf(refute_0_2979,plain,
( complement(meet(one,complement(converse(meet(one,complement(sk1)))))) != converse(complement(sk1))
| meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) = meet(one,converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_2977,refute_0_2978]) ).
cnf(refute_0_2980,plain,
meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) = meet(one,converse(complement(sk1))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(meet(one,complement(sk1)))))),converse(complement(sk1))) )],[refute_0_2976,refute_0_2979]) ).
cnf(refute_0_2981,plain,
( meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) != converse(meet(one,complement(sk1)))
| meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) != meet(one,converse(complement(sk1)))
| meet(one,converse(complement(sk1))) = converse(meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),converse(meet(one,complement(sk1)))) ),[0],$fot(meet(one,converse(complement(sk1))))]]) ).
cnf(refute_0_2982,plain,
( meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))) != converse(meet(one,complement(sk1)))
| meet(one,converse(complement(sk1))) = converse(meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),meet(one,converse(complement(sk1)))) )],[refute_0_2980,refute_0_2981]) ).
cnf(refute_0_2983,plain,
meet(one,converse(complement(sk1))) = converse(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(meet(one,complement(sk1))))))),converse(meet(one,complement(sk1)))) )],[refute_0_2918,refute_0_2982]) ).
cnf(refute_0_2984,plain,
complement(meet(one,converse(complement(sk1)))) = complement(meet(one,converse(complement(sk1)))),
introduced(tautology,[refl,[$fot(complement(meet(one,converse(complement(sk1)))))]]) ).
cnf(refute_0_2985,plain,
( complement(meet(one,converse(complement(sk1)))) != complement(meet(one,converse(complement(sk1))))
| meet(one,converse(complement(sk1))) != converse(meet(one,complement(sk1)))
| complement(meet(one,converse(complement(sk1)))) = complement(converse(meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,converse(complement(sk1)))),complement(meet(one,converse(complement(sk1))))) ),[1,0],$fot(converse(meet(one,complement(sk1))))]]) ).
cnf(refute_0_2986,plain,
( meet(one,converse(complement(sk1))) != converse(meet(one,complement(sk1)))
| complement(meet(one,converse(complement(sk1)))) = complement(converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(sk1)))),complement(meet(one,converse(complement(sk1))))) )],[refute_0_2984,refute_0_2985]) ).
cnf(refute_0_2987,plain,
complement(meet(one,converse(complement(sk1)))) = complement(converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(sk1))),converse(meet(one,complement(sk1)))) )],[refute_0_2983,refute_0_2986]) ).
cnf(refute_0_2988,plain,
meet(one,complement(meet(one,converse(complement(sk1))))) = meet(one,complement(meet(one,converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_2989,plain,
( complement(meet(one,converse(complement(sk1)))) != complement(converse(meet(one,complement(sk1))))
| meet(one,complement(meet(one,converse(complement(sk1))))) != meet(one,complement(meet(one,converse(complement(sk1)))))
| meet(one,complement(meet(one,converse(complement(sk1))))) = meet(one,complement(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(sk1))))),meet(one,complement(meet(one,converse(complement(sk1)))))) ),[1,1],$fot(complement(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_2990,plain,
( complement(meet(one,converse(complement(sk1)))) != complement(converse(meet(one,complement(sk1))))
| meet(one,complement(meet(one,converse(complement(sk1))))) = meet(one,complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(sk1))))),meet(one,complement(meet(one,converse(complement(sk1)))))) )],[refute_0_2988,refute_0_2989]) ).
cnf(refute_0_2991,plain,
meet(one,complement(meet(one,converse(complement(sk1))))) = meet(one,complement(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(sk1)))),complement(converse(meet(one,complement(sk1))))) )],[refute_0_2987,refute_0_2990]) ).
cnf(refute_0_2992,plain,
( meet(one,complement(meet(one,converse(complement(sk1))))) != complement(converse(complement(sk1)))
| meet(one,complement(meet(one,converse(complement(sk1))))) != meet(one,complement(converse(meet(one,complement(sk1)))))
| meet(one,complement(converse(meet(one,complement(sk1))))) = complement(converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(sk1))))),complement(converse(complement(sk1)))) ),[0],$fot(meet(one,complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_2993,plain,
( meet(one,complement(meet(one,converse(complement(sk1))))) != complement(converse(complement(sk1)))
| meet(one,complement(converse(meet(one,complement(sk1))))) = complement(converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(sk1))))),meet(one,complement(converse(meet(one,complement(sk1)))))) )],[refute_0_2991,refute_0_2992]) ).
cnf(refute_0_2994,plain,
meet(one,complement(converse(meet(one,complement(sk1))))) = complement(converse(complement(sk1))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(sk1))))),complement(converse(complement(sk1)))) )],[refute_0_2846,refute_0_2993]) ).
cnf(refute_0_2995,plain,
converse(meet(one,complement(converse(meet(one,complement(sk1)))))) = converse(meet(one,complement(converse(meet(one,complement(sk1)))))),
introduced(tautology,[refl,[$fot(converse(meet(one,complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_2996,plain,
( converse(meet(one,complement(converse(meet(one,complement(sk1)))))) != converse(meet(one,complement(converse(meet(one,complement(sk1))))))
| meet(one,complement(converse(meet(one,complement(sk1))))) != complement(converse(complement(sk1)))
| converse(meet(one,complement(converse(meet(one,complement(sk1)))))) = converse(complement(converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),converse(meet(one,complement(converse(meet(one,complement(sk1))))))) ),[1,0],$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_2997,plain,
( meet(one,complement(converse(meet(one,complement(sk1))))) != complement(converse(complement(sk1)))
| converse(meet(one,complement(converse(meet(one,complement(sk1)))))) = converse(complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),converse(meet(one,complement(converse(meet(one,complement(sk1))))))) )],[refute_0_2995,refute_0_2996]) ).
cnf(refute_0_2998,plain,
converse(meet(one,complement(converse(meet(one,complement(sk1)))))) = converse(complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(meet(one,complement(sk1))))),complement(converse(complement(sk1)))) )],[refute_0_2994,refute_0_2997]) ).
cnf(refute_0_2999,plain,
join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A) = join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A))]]) ).
cnf(refute_0_3000,plain,
( converse(meet(one,complement(converse(meet(one,complement(sk1)))))) != converse(complement(converse(complement(sk1))))
| join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A) != join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)
| join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A) = join(converse(complement(converse(complement(sk1)))),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A),join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) ),[1,0],$fot(converse(complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_3001,plain,
( converse(meet(one,complement(converse(meet(one,complement(sk1)))))) != converse(complement(converse(complement(sk1))))
| join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A) = join(converse(complement(converse(complement(sk1)))),A) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A),join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) )],[refute_0_2999,refute_0_3000]) ).
cnf(refute_0_3002,plain,
join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A) = join(converse(complement(converse(complement(sk1)))),A),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),converse(complement(converse(complement(sk1))))) )],[refute_0_2998,refute_0_3001]) ).
cnf(refute_0_3003,plain,
join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) = join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)),
introduced(tautology,[refl,[$fot(join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)))]]) ).
cnf(refute_0_3004,plain,
( join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A) != join(converse(complement(converse(complement(sk1)))),A)
| join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) != join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A))
| join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) = join(one,join(converse(complement(converse(complement(sk1)))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)),join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A))) ),[1,1],$fot(join(converse(complement(converse(complement(sk1)))),A))]]) ).
cnf(refute_0_3005,plain,
( join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A) != join(converse(complement(converse(complement(sk1)))),A)
| join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) = join(one,join(converse(complement(converse(complement(sk1)))),A)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)),join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A))) )],[refute_0_3003,refute_0_3004]) ).
cnf(refute_0_3006,plain,
join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) = join(one,join(converse(complement(converse(complement(sk1)))),A)),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A),join(converse(complement(converse(complement(sk1)))),A)) )],[refute_0_3002,refute_0_3005]) ).
cnf(refute_0_3007,plain,
( join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) != join(A,one)
| join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) != join(one,join(converse(complement(converse(complement(sk1)))),A))
| join(one,join(converse(complement(converse(complement(sk1)))),A)) = join(A,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)),join(A,one)) ),[0],$fot(join(one,join(converse(complement(converse(complement(sk1)))),A)))]]) ).
cnf(refute_0_3008,plain,
( join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)) != join(A,one)
| join(one,join(converse(complement(converse(complement(sk1)))),A)) = join(A,one) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)),join(one,join(converse(complement(converse(complement(sk1)))),A))) )],[refute_0_3006,refute_0_3007]) ).
cnf(refute_0_3009,plain,
join(one,join(converse(complement(converse(complement(sk1)))),A)) = join(A,one),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(meet(one,complement(sk1)))))),A)),join(A,one)) )],[refute_0_2534,refute_0_3008]) ).
cnf(refute_0_3010,plain,
join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) = join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one),
inference(subst,[],[refute_0_3009:[bind(A,$fot(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))))]]) ).
cnf(refute_0_3011,plain,
( join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one) != join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))
| join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) != join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one)
| join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) = join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))))),bind(Y,$fot(join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one))),bind(Z,$fot(join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))))]]) ).
cnf(refute_0_3012,plain,
( join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one) != join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))
| join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) = join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))),join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one)) )],[refute_0_3010,refute_0_3011]) ).
cnf(refute_0_3013,plain,
join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) = join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one),join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))) )],[refute_0_2446,refute_0_3012]) ).
cnf(refute_0_3014,plain,
( join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) != join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))
| join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) != join(one,converse(complement(converse(complement(sk1)))))
| join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) = join(one,converse(complement(converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))),join(one,converse(complement(converse(complement(sk1)))))) ),[0],$fot(join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))]]) ).
cnf(refute_0_3015,plain,
( join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) != join(one,converse(complement(converse(complement(sk1)))))
| join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) = join(one,converse(complement(converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))),join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))) )],[refute_0_3013,refute_0_3014]) ).
cnf(refute_0_3016,plain,
join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) = join(one,meet(one,complement(converse(meet(one,complement(sk1)))))),
introduced(tautology,[refl,[$fot(join(one,meet(one,complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3017,plain,
( join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) != join(one,meet(one,complement(converse(meet(one,complement(sk1))))))
| meet(one,complement(converse(meet(one,complement(sk1))))) != complement(converse(complement(sk1)))
| join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) = join(one,complement(converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(one,complement(converse(meet(one,complement(sk1)))))),join(one,meet(one,complement(converse(meet(one,complement(sk1))))))) ),[1,1],$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_3018,plain,
( meet(one,complement(converse(meet(one,complement(sk1))))) != complement(converse(complement(sk1)))
| join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) = join(one,complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(converse(meet(one,complement(sk1)))))),join(one,meet(one,complement(converse(meet(one,complement(sk1))))))) )],[refute_0_3016,refute_0_3017]) ).
cnf(refute_0_3019,plain,
join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) = join(one,complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(meet(one,complement(sk1))))),complement(converse(complement(sk1)))) )],[refute_0_2994,refute_0_3018]) ).
cnf(refute_0_3020,plain,
( join(one,meet(one,complement(converse(meet(one,complement(sk1)))))) != join(one,complement(converse(complement(sk1))))
| one != join(one,meet(one,complement(converse(meet(one,complement(sk1))))))
| one = join(one,complement(converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,meet(one,complement(converse(meet(one,complement(sk1))))))) ),[1],$fot(join(one,complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_3021,plain,
( one != join(one,meet(one,complement(converse(meet(one,complement(sk1))))))
| one = join(one,complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(converse(meet(one,complement(sk1)))))),join(one,complement(converse(complement(sk1))))) )],[refute_0_3019,refute_0_3020]) ).
cnf(refute_0_3022,plain,
one = join(one,complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(one,join(one,meet(one,complement(converse(meet(one,complement(sk1))))))) )],[refute_0_2948,refute_0_3021]) ).
cnf(refute_0_3023,plain,
( one != join(one,complement(converse(complement(sk1))))
| join(one,complement(converse(complement(sk1)))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(one,complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3024,plain,
join(one,complement(converse(complement(sk1)))) = one,
inference(resolve,[$cnf( $equal(one,join(one,complement(converse(complement(sk1))))) )],[refute_0_3022,refute_0_3023]) ).
cnf(refute_0_3025,plain,
converse(join(one,complement(converse(complement(sk1))))) = converse(join(one,complement(converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3026,plain,
( converse(join(one,complement(converse(complement(sk1))))) != converse(join(one,complement(converse(complement(sk1)))))
| join(one,complement(converse(complement(sk1)))) != one
| converse(join(one,complement(converse(complement(sk1))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(complement(sk1))))),converse(join(one,complement(converse(complement(sk1)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3027,plain,
( join(one,complement(converse(complement(sk1)))) != one
| converse(join(one,complement(converse(complement(sk1))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(complement(sk1))))),converse(join(one,complement(converse(complement(sk1)))))) )],[refute_0_3025,refute_0_3026]) ).
cnf(refute_0_3028,plain,
converse(join(one,complement(converse(complement(sk1))))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,complement(converse(complement(sk1)))),one) )],[refute_0_3024,refute_0_3027]) ).
cnf(refute_0_3029,plain,
( converse(join(one,complement(converse(complement(sk1))))) != converse(one)
| converse(one) != one
| converse(join(one,complement(converse(complement(sk1))))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,complement(converse(complement(sk1))))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_3030,plain,
( converse(one) != one
| converse(join(one,complement(converse(complement(sk1))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(complement(sk1))))),converse(one)) )],[refute_0_3028,refute_0_3029]) ).
cnf(refute_0_3031,plain,
converse(join(one,complement(converse(complement(sk1))))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_3030]) ).
cnf(refute_0_3032,plain,
join(one,converse(complement(converse(complement(sk1))))) = converse(join(one,complement(converse(complement(sk1))))),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_3033,plain,
( converse(join(one,complement(converse(complement(sk1))))) != one
| join(one,converse(complement(converse(complement(sk1))))) != converse(join(one,complement(converse(complement(sk1)))))
| join(one,converse(complement(converse(complement(sk1))))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,converse(complement(converse(complement(sk1))))))),bind(Y,$fot(converse(join(one,complement(converse(complement(sk1))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_3034,plain,
( converse(join(one,complement(converse(complement(sk1))))) != one
| join(one,converse(complement(converse(complement(sk1))))) = one ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(complement(sk1))))),converse(join(one,complement(converse(complement(sk1)))))) )],[refute_0_3032,refute_0_3033]) ).
cnf(refute_0_3035,plain,
join(one,converse(complement(converse(complement(sk1))))) = one,
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(complement(sk1))))),one) )],[refute_0_3031,refute_0_3034]) ).
cnf(refute_0_3036,plain,
( join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) != join(one,converse(complement(converse(complement(sk1)))))
| join(one,converse(complement(converse(complement(sk1))))) != one
| join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one) ),[0],$fot(join(one,converse(complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3037,plain,
( join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) != join(one,converse(complement(converse(complement(sk1)))))
| join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) = one ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(complement(sk1))))),one) )],[refute_0_3035,refute_0_3036]) ).
cnf(refute_0_3038,plain,
( join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) != join(one,converse(complement(converse(complement(sk1)))))
| join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),join(one,converse(complement(converse(complement(sk1)))))) )],[refute_0_3015,refute_0_3037]) ).
cnf(refute_0_3039,plain,
join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) = one,
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(converse(complement(sk1)))),join(sk1,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))),join(one,converse(complement(converse(complement(sk1)))))) )],[refute_0_2441,refute_0_3038]) ).
cnf(refute_0_3040,plain,
( join(one,complement(converse(complement(converse(complement(sk1)))))) != join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))))
| join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))) != one
| join(one,complement(converse(complement(converse(complement(sk1)))))) = join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(complement(converse(complement(sk1)))))),join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_3041,plain,
( join(one,complement(converse(complement(converse(complement(sk1)))))) != join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))))
| join(one,complement(converse(complement(converse(complement(sk1)))))) = join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one)) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,complement(converse(complement(converse(complement(sk1)))))))),one) )],[refute_0_3039,refute_0_3040]) ).
cnf(refute_0_3042,plain,
join(one,complement(converse(complement(converse(complement(sk1)))))) = join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one)),
inference(resolve,[$cnf( $equal(join(one,complement(converse(complement(converse(complement(sk1)))))),join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(join(one,complement(join(one,complement(converse(complement(converse(complement(sk1))))))))))) )],[refute_0_1564,refute_0_3041]) ).
cnf(refute_0_3043,plain,
join(complement(one),one) = join(one,complement(one)),
inference(subst,[],[refute_0_1401:[bind(A,$fot(complement(one)))]]) ).
cnf(refute_0_3044,plain,
( join(complement(one),one) != join(one,complement(one))
| join(one,complement(one)) != top
| join(complement(one),one) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),one))),bind(Y,$fot(join(one,complement(one)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3045,plain,
( join(one,complement(one)) != top
| join(complement(one),one) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),one),join(one,complement(one))) )],[refute_0_3043,refute_0_3044]) ).
cnf(refute_0_3046,plain,
join(complement(one),one) = top,
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_786,refute_0_3045]) ).
cnf(refute_0_3047,plain,
meet(one,join(one,complement(converse(complement(converse(complement(sk1))))))) = one,
inference(subst,[],[refute_0_2380:[bind(X_33,$fot(complement(converse(complement(converse(complement(sk1))))))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_3048,plain,
meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one) = meet(one,join(one,complement(converse(complement(converse(complement(sk1))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(join(one,complement(converse(complement(converse(complement(sk1))))))))]]) ).
cnf(refute_0_3049,plain,
( meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one) != meet(one,join(one,complement(converse(complement(converse(complement(sk1)))))))
| meet(one,join(one,complement(converse(complement(converse(complement(sk1))))))) != one
| meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one))),bind(Y,$fot(meet(one,join(one,complement(converse(complement(converse(complement(sk1))))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_3050,plain,
( meet(one,join(one,complement(converse(complement(converse(complement(sk1))))))) != one
| meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one) = one ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),meet(one,join(one,complement(converse(complement(converse(complement(sk1)))))))) )],[refute_0_3048,refute_0_3049]) ).
cnf(refute_0_3051,plain,
meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one) = one,
inference(resolve,[$cnf( $equal(meet(one,join(one,complement(converse(complement(converse(complement(sk1))))))),one) )],[refute_0_3047,refute_0_3050]) ).
cnf(refute_0_3052,plain,
join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)) = join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)))]]) ).
cnf(refute_0_3053,plain,
( join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)) != join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one))
| meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one) != one
| join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)) = join(complement(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)),join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_3054,plain,
( meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one) != one
| join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)) = join(complement(one),one) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)),join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one))) )],[refute_0_3052,refute_0_3053]) ).
cnf(refute_0_3055,plain,
join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)) = join(complement(one),one),
inference(resolve,[$cnf( $equal(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),one) )],[refute_0_3051,refute_0_3054]) ).
cnf(refute_0_3056,plain,
( join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)) != join(complement(one),one)
| join(complement(one),one) != top
| join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)))),bind(Y,$fot(join(complement(one),one))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3057,plain,
( join(complement(one),one) != top
| join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)),join(complement(one),one)) )],[refute_0_3055,refute_0_3056]) ).
cnf(refute_0_3058,plain,
join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)) = top,
inference(resolve,[$cnf( $equal(join(complement(one),one),top) )],[refute_0_3046,refute_0_3057]) ).
cnf(refute_0_3059,plain,
join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one)) = join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one))),bind(B,$fot(complement(one)))]]) ).
cnf(refute_0_3060,plain,
( join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)) != top
| join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one)) != join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one))
| join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3061,plain,
( join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)) != top
| join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one)) = top ),
inference(resolve,[$cnf( $equal(join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one)),join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one))) )],[refute_0_3059,refute_0_3060]) ).
cnf(refute_0_3062,plain,
join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one)) = top,
inference(resolve,[$cnf( $equal(join(complement(one),meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one)),top) )],[refute_0_3058,refute_0_3061]) ).
cnf(refute_0_3063,plain,
( join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one)) != top
| join(one,complement(converse(complement(converse(complement(sk1)))))) != join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one))
| join(one,complement(converse(complement(converse(complement(sk1)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(complement(converse(complement(sk1)))))),join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one))) ),[1],$fot(top)]]) ).
cnf(refute_0_3064,plain,
( join(one,complement(converse(complement(converse(complement(sk1)))))) != join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one))
| join(one,complement(converse(complement(converse(complement(sk1)))))) = top ),
inference(resolve,[$cnf( $equal(join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one)),top) )],[refute_0_3062,refute_0_3063]) ).
cnf(refute_0_3065,plain,
join(one,complement(converse(complement(converse(complement(sk1)))))) = top,
inference(resolve,[$cnf( $equal(join(one,complement(converse(complement(converse(complement(sk1)))))),join(meet(join(one,complement(converse(complement(converse(complement(sk1)))))),one),complement(one))) )],[refute_0_3042,refute_0_3064]) ).
cnf(refute_0_3066,plain,
( complement(one) != meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))
| join(one,complement(converse(complement(converse(complement(sk1)))))) != top
| complement(one) = meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_3067,plain,
( complement(one) != meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))
| complement(one) = meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(complement(converse(complement(sk1)))))),top) )],[refute_0_3065,refute_0_3066]) ).
cnf(refute_0_3068,plain,
complement(one) = meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(join(one,complement(converse(complement(converse(complement(sk1)))))))))) )],[refute_0_1563,refute_0_3067]) ).
cnf(refute_0_3069,plain,
complement(complement(X_105)) = X_105,
inference(subst,[],[refute_0_623:[bind(X_97,$fot(X_105))]]) ).
cnf(refute_0_3070,plain,
( complement(complement(X_105)) != X_105
| meet(top,X_105) != complement(complement(X_105))
| meet(top,X_105) = X_105 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_105),complement(complement(X_105))) ),[1],$fot(X_105)]]) ).
cnf(refute_0_3071,plain,
( meet(top,X_105) != complement(complement(X_105))
| meet(top,X_105) = X_105 ),
inference(resolve,[$cnf( $equal(complement(complement(X_105)),X_105) )],[refute_0_3069,refute_0_3070]) ).
cnf(refute_0_3072,plain,
meet(top,X_105) = X_105,
inference(resolve,[$cnf( $equal(meet(top,X_105),complement(complement(X_105))) )],[refute_0_575,refute_0_3071]) ).
cnf(refute_0_3073,plain,
meet(top,converse(complement(converse(complement(sk1))))) = converse(complement(converse(complement(sk1)))),
inference(subst,[],[refute_0_3072:[bind(X_105,$fot(converse(complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3074,plain,
complement(meet(top,converse(complement(converse(complement(sk1)))))) = complement(meet(top,converse(complement(converse(complement(sk1)))))),
introduced(tautology,[refl,[$fot(complement(meet(top,converse(complement(converse(complement(sk1)))))))]]) ).
cnf(refute_0_3075,plain,
( complement(meet(top,converse(complement(converse(complement(sk1)))))) != complement(meet(top,converse(complement(converse(complement(sk1))))))
| meet(top,converse(complement(converse(complement(sk1))))) != converse(complement(converse(complement(sk1))))
| complement(meet(top,converse(complement(converse(complement(sk1)))))) = complement(converse(complement(converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,converse(complement(converse(complement(sk1)))))),complement(meet(top,converse(complement(converse(complement(sk1))))))) ),[1,0],$fot(converse(complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_3076,plain,
( meet(top,converse(complement(converse(complement(sk1))))) != converse(complement(converse(complement(sk1))))
| complement(meet(top,converse(complement(converse(complement(sk1)))))) = complement(converse(complement(converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,converse(complement(converse(complement(sk1)))))),complement(meet(top,converse(complement(converse(complement(sk1))))))) )],[refute_0_3074,refute_0_3075]) ).
cnf(refute_0_3077,plain,
complement(meet(top,converse(complement(converse(complement(sk1)))))) = complement(converse(complement(converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(complement(sk1))))),converse(complement(converse(complement(sk1))))) )],[refute_0_3073,refute_0_3076]) ).
cnf(refute_0_3078,plain,
join(complement(top),complement(converse(complement(converse(complement(sk1)))))) = complement(meet(top,converse(complement(converse(complement(sk1)))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(top)),bind(B,$fot(converse(complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3079,plain,
join(complement(converse(complement(converse(complement(sk1))))),complement(top)) = join(complement(top),complement(converse(complement(converse(complement(sk1)))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(converse(complement(converse(complement(sk1))))))),bind(B,$fot(complement(top)))]]) ).
cnf(refute_0_3080,plain,
( join(complement(converse(complement(converse(complement(sk1))))),complement(top)) != join(complement(top),complement(converse(complement(converse(complement(sk1))))))
| join(complement(top),complement(converse(complement(converse(complement(sk1)))))) != complement(meet(top,converse(complement(converse(complement(sk1))))))
| join(complement(converse(complement(converse(complement(sk1))))),complement(top)) = complement(meet(top,converse(complement(converse(complement(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(complement(converse(complement(sk1))))),complement(top)))),bind(Y,$fot(join(complement(top),complement(converse(complement(converse(complement(sk1)))))))),bind(Z,$fot(complement(meet(top,converse(complement(converse(complement(sk1))))))))]]) ).
cnf(refute_0_3081,plain,
( join(complement(top),complement(converse(complement(converse(complement(sk1)))))) != complement(meet(top,converse(complement(converse(complement(sk1))))))
| join(complement(converse(complement(converse(complement(sk1))))),complement(top)) = complement(meet(top,converse(complement(converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(sk1))))),complement(top)),join(complement(top),complement(converse(complement(converse(complement(sk1))))))) )],[refute_0_3079,refute_0_3080]) ).
cnf(refute_0_3082,plain,
join(complement(converse(complement(converse(complement(sk1))))),complement(top)) = complement(meet(top,converse(complement(converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(complement(converse(complement(sk1)))))),complement(meet(top,converse(complement(converse(complement(sk1))))))) )],[refute_0_3078,refute_0_3081]) ).
cnf(refute_0_3083,plain,
( complement(meet(top,converse(complement(converse(complement(sk1)))))) != complement(converse(complement(converse(complement(sk1)))))
| join(complement(converse(complement(converse(complement(sk1))))),complement(top)) != complement(meet(top,converse(complement(converse(complement(sk1))))))
| join(complement(converse(complement(converse(complement(sk1))))),complement(top)) = complement(converse(complement(converse(complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(complement(converse(complement(sk1))))),complement(top)))),bind(Y,$fot(complement(meet(top,converse(complement(converse(complement(sk1)))))))),bind(Z,$fot(complement(converse(complement(converse(complement(sk1)))))))]]) ).
cnf(refute_0_3084,plain,
( complement(meet(top,converse(complement(converse(complement(sk1)))))) != complement(converse(complement(converse(complement(sk1)))))
| join(complement(converse(complement(converse(complement(sk1))))),complement(top)) = complement(converse(complement(converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(sk1))))),complement(top)),complement(meet(top,converse(complement(converse(complement(sk1))))))) )],[refute_0_3082,refute_0_3083]) ).
cnf(refute_0_3085,plain,
join(complement(converse(complement(converse(complement(sk1))))),complement(top)) = complement(converse(complement(converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(meet(top,converse(complement(converse(complement(sk1)))))),complement(converse(complement(converse(complement(sk1)))))) )],[refute_0_3077,refute_0_3084]) ).
cnf(refute_0_3086,plain,
meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))) = meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))))]]) ).
cnf(refute_0_3087,plain,
( join(complement(converse(complement(converse(complement(sk1))))),complement(top)) != complement(converse(complement(converse(complement(sk1)))))
| meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))) != meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top)))
| meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))) = meet(complement(one),complement(converse(complement(converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))),meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top)))) ),[1,1],$fot(complement(converse(complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3088,plain,
( join(complement(converse(complement(converse(complement(sk1))))),complement(top)) != complement(converse(complement(converse(complement(sk1)))))
| meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))) = meet(complement(one),complement(converse(complement(converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))),meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top)))) )],[refute_0_3086,refute_0_3087]) ).
cnf(refute_0_3089,plain,
meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))) = meet(complement(one),complement(converse(complement(converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(sk1))))),complement(top)),complement(converse(complement(converse(complement(sk1)))))) )],[refute_0_3085,refute_0_3088]) ).
cnf(refute_0_3090,plain,
( complement(one) != meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top)))
| meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))) != meet(complement(one),complement(converse(complement(converse(complement(sk1))))))
| complement(one) = meet(complement(one),complement(converse(complement(converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(converse(complement(converse(complement(sk1))))))) ),[0],$fot(meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))))]]) ).
cnf(refute_0_3091,plain,
( complement(one) != meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top)))
| complement(one) = meet(complement(one),complement(converse(complement(converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top))),meet(complement(one),complement(converse(complement(converse(complement(sk1))))))) )],[refute_0_3089,refute_0_3090]) ).
cnf(refute_0_3092,plain,
complement(one) = meet(complement(one),complement(converse(complement(converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(complement(converse(complement(sk1))))),complement(top)))) )],[refute_0_3068,refute_0_3091]) ).
cnf(refute_0_3093,plain,
( complement(one) != meet(complement(one),complement(converse(complement(converse(complement(sk1))))))
| meet(complement(one),complement(converse(complement(converse(complement(sk1)))))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(converse(complement(converse(complement(sk1))))))))]]) ).
cnf(refute_0_3094,plain,
meet(complement(one),complement(converse(complement(converse(complement(sk1)))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(converse(complement(converse(complement(sk1))))))) )],[refute_0_3092,refute_0_3093]) ).
cnf(refute_0_3095,plain,
( complement(one) != join(meet(complement(one),complement(converse(complement(converse(complement(sk1)))))),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))
| meet(complement(one),complement(converse(complement(converse(complement(sk1)))))) != complement(one)
| complement(one) = join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(meet(complement(one),complement(converse(complement(converse(complement(sk1)))))),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3096,plain,
( complement(one) != join(meet(complement(one),complement(converse(complement(converse(complement(sk1)))))),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))
| complement(one) = join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(complement(converse(complement(sk1)))))),complement(one)) )],[refute_0_3094,refute_0_3095]) ).
cnf(refute_0_3097,plain,
complement(one) = join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))),
inference(resolve,[$cnf( $equal(complement(one),join(meet(complement(one),complement(converse(complement(converse(complement(sk1)))))),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))) )],[refute_0_1536,refute_0_3096]) ).
cnf(refute_0_3098,plain,
join(complement(complement(one)),complement(converse(complement(converse(complement(sk1)))))) = complement(meet(complement(one),converse(complement(converse(complement(sk1)))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(complement(one))),bind(B,$fot(converse(complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3099,plain,
join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))) = join(complement(complement(one)),complement(converse(complement(converse(complement(sk1)))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(converse(complement(converse(complement(sk1))))))),bind(B,$fot(complement(complement(one))))]]) ).
cnf(refute_0_3100,plain,
( join(complement(complement(one)),complement(converse(complement(converse(complement(sk1)))))) != complement(meet(complement(one),converse(complement(converse(complement(sk1))))))
| join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))) != join(complement(complement(one)),complement(converse(complement(converse(complement(sk1))))))
| join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))) = complement(meet(complement(one),converse(complement(converse(complement(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))),bind(Y,$fot(join(complement(complement(one)),complement(converse(complement(converse(complement(sk1)))))))),bind(Z,$fot(complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))]]) ).
cnf(refute_0_3101,plain,
( join(complement(complement(one)),complement(converse(complement(converse(complement(sk1)))))) != complement(meet(complement(one),converse(complement(converse(complement(sk1))))))
| join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))) = complement(meet(complement(one),converse(complement(converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))),join(complement(complement(one)),complement(converse(complement(converse(complement(sk1))))))) )],[refute_0_3099,refute_0_3100]) ).
cnf(refute_0_3102,plain,
join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))) = complement(meet(complement(one),converse(complement(converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),complement(converse(complement(converse(complement(sk1)))))),complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) )],[refute_0_3098,refute_0_3101]) ).
cnf(refute_0_3103,plain,
meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))) = meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))]]) ).
cnf(refute_0_3104,plain,
( join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))) != complement(meet(complement(one),converse(complement(converse(complement(sk1))))))
| meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))) != meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))
| meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))) = meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))),meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) ),[1,1],$fot(complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))]]) ).
cnf(refute_0_3105,plain,
( join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))) != complement(meet(complement(one),converse(complement(converse(complement(sk1))))))
| meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))) = meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))),meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) )],[refute_0_3103,refute_0_3104]) ).
cnf(refute_0_3106,plain,
meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))) = meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))),complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) )],[refute_0_3102,refute_0_3105]) ).
cnf(refute_0_3107,plain,
complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) = complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))))]]) ).
cnf(refute_0_3108,plain,
( complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) != complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))
| meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))) != meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))
| complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) = complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))),complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))) ),[1,0],$fot(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))]]) ).
cnf(refute_0_3109,plain,
( meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))) != meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))
| complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) = complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))),complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))) )],[refute_0_3107,refute_0_3108]) ).
cnf(refute_0_3110,plain,
complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) = complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))),meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))) )],[refute_0_3106,refute_0_3109]) ).
cnf(refute_0_3111,plain,
join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) = complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))]]) ).
cnf(refute_0_3112,plain,
( complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) != complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))
| join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) != complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))
| join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) = complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))))),bind(Y,$fot(complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))))),bind(Z,$fot(complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))))]]) ).
cnf(refute_0_3113,plain,
( complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) != complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))
| join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) = complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))),complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))) )],[refute_0_3111,refute_0_3112]) ).
cnf(refute_0_3114,plain,
join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) = complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))),complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) )],[refute_0_3110,refute_0_3113]) ).
cnf(refute_0_3115,plain,
( complement(one) != join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))
| join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))) != complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))
| complement(one) = complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) ),[0],$fot(join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))))]]) ).
cnf(refute_0_3116,plain,
( complement(one) != join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))
| complement(one) = complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one))))),complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) )],[refute_0_3114,refute_0_3115]) ).
cnf(refute_0_3117,plain,
complement(one) = complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(one),complement(join(complement(converse(complement(converse(complement(sk1))))),complement(complement(one)))))) )],[refute_0_3097,refute_0_3116]) ).
cnf(refute_0_3118,plain,
( complement(one) != complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))
| complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))))]]) ).
cnf(refute_0_3119,plain,
complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) )],[refute_0_3117,refute_0_3118]) ).
cnf(refute_0_3120,plain,
( complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))) != complement(one)
| meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) != complement(complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))))
| meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))),complement(complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3121,plain,
( meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) != complement(complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))))
| meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))),complement(one)) )],[refute_0_3119,refute_0_3120]) ).
cnf(refute_0_3122,plain,
meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))),complement(complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))))) )],[refute_0_1529,refute_0_3121]) ).
cnf(refute_0_3123,plain,
complement(complement(one)) = one,
inference(subst,[],[refute_0_623:[bind(X_97,$fot(one))]]) ).
cnf(refute_0_3124,plain,
( complement(complement(one)) != one
| meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) != complement(complement(one))
| meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))),complement(complement(one))) ),[1],$fot(one)]]) ).
cnf(refute_0_3125,plain,
( meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) != complement(complement(one))
| meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) = one ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3123,refute_0_3124]) ).
cnf(refute_0_3126,plain,
meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))),complement(complement(one))) )],[refute_0_3122,refute_0_3125]) ).
cnf(refute_0_3127,plain,
( meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) != complement(join(complement(X_279),meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))))
| meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))) != one
| meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) = complement(join(complement(X_279),one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))),complement(join(complement(X_279),meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_3128,plain,
( meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) != complement(join(complement(X_279),meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))))
| meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) = complement(join(complement(X_279),one)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))),one) )],[refute_0_3126,refute_0_3127]) ).
cnf(refute_0_3129,plain,
meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) = complement(join(complement(X_279),one)),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))),complement(join(complement(X_279),meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))))) )],[refute_0_1528,refute_0_3128]) ).
cnf(refute_0_3130,plain,
meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) = meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))),
introduced(tautology,[refl,[$fot(meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))))]]) ).
cnf(refute_0_3131,plain,
( complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))) != complement(one)
| meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) != meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))))
| meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) = meet(X_279,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))),meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_3132,plain,
( complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))) != complement(one)
| meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) = meet(X_279,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))),meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))))) )],[refute_0_3130,refute_0_3131]) ).
cnf(refute_0_3133,plain,
meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) = meet(X_279,complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1)))))))),complement(one)) )],[refute_0_3119,refute_0_3132]) ).
cnf(refute_0_3134,plain,
( meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) != complement(join(complement(X_279),one))
| meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) != meet(X_279,complement(one))
| meet(X_279,complement(one)) = complement(join(complement(X_279),one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))),complement(join(complement(X_279),one))) ),[0],$fot(meet(X_279,complement(one)))]]) ).
cnf(refute_0_3135,plain,
( meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) != complement(join(complement(X_279),one))
| meet(X_279,complement(one)) = complement(join(complement(X_279),one)) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))),meet(X_279,complement(one))) )],[refute_0_3133,refute_0_3134]) ).
cnf(refute_0_3136,plain,
complement(X_267) = join(meet(X_267,complement(X_267)),complement(join(complement(complement(X_267)),X_267))),
inference(subst,[],[refute_0_1502:[bind(X_97,$fot(complement(X_267))),bind(X_98,$fot(X_267))]]) ).
cnf(refute_0_3137,plain,
zero = meet(X_267,complement(X_267)),
inference(subst,[],[def_zero_13:[bind(A,$fot(X_267))]]) ).
cnf(refute_0_3138,plain,
( zero != meet(X_267,complement(X_267))
| meet(X_267,complement(X_267)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_267,complement(X_267))))]]) ).
cnf(refute_0_3139,plain,
meet(X_267,complement(X_267)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_267,complement(X_267))) )],[refute_0_3137,refute_0_3138]) ).
cnf(refute_0_3140,plain,
( complement(X_267) != join(meet(X_267,complement(X_267)),complement(join(complement(complement(X_267)),X_267)))
| meet(X_267,complement(X_267)) != zero
| complement(X_267) = join(zero,complement(join(complement(complement(X_267)),X_267))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_267),join(meet(X_267,complement(X_267)),complement(join(complement(complement(X_267)),X_267)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3141,plain,
( complement(X_267) != join(meet(X_267,complement(X_267)),complement(join(complement(complement(X_267)),X_267)))
| complement(X_267) = join(zero,complement(join(complement(complement(X_267)),X_267))) ),
inference(resolve,[$cnf( $equal(meet(X_267,complement(X_267)),zero) )],[refute_0_3139,refute_0_3140]) ).
cnf(refute_0_3142,plain,
complement(X_267) = join(zero,complement(join(complement(complement(X_267)),X_267))),
inference(resolve,[$cnf( $equal(complement(X_267),join(meet(X_267,complement(X_267)),complement(join(complement(complement(X_267)),X_267)))) )],[refute_0_3136,refute_0_3141]) ).
cnf(refute_0_3143,plain,
complement(complement(X_267)) = X_267,
inference(subst,[],[refute_0_623:[bind(X_97,$fot(X_267))]]) ).
cnf(refute_0_3144,plain,
join(X_267,complement(complement(X_267))) = join(X_267,complement(complement(X_267))),
introduced(tautology,[refl,[$fot(join(X_267,complement(complement(X_267))))]]) ).
cnf(refute_0_3145,plain,
( complement(complement(X_267)) != X_267
| join(X_267,complement(complement(X_267))) != join(X_267,complement(complement(X_267)))
| join(X_267,complement(complement(X_267))) = join(X_267,X_267) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_267,complement(complement(X_267))),join(X_267,complement(complement(X_267)))) ),[1,1],$fot(X_267)]]) ).
cnf(refute_0_3146,plain,
( complement(complement(X_267)) != X_267
| join(X_267,complement(complement(X_267))) = join(X_267,X_267) ),
inference(resolve,[$cnf( $equal(join(X_267,complement(complement(X_267))),join(X_267,complement(complement(X_267)))) )],[refute_0_3144,refute_0_3145]) ).
cnf(refute_0_3147,plain,
join(X_267,complement(complement(X_267))) = join(X_267,X_267),
inference(resolve,[$cnf( $equal(complement(complement(X_267)),X_267) )],[refute_0_3143,refute_0_3146]) ).
cnf(refute_0_3148,plain,
join(complement(complement(X_267)),X_267) = join(X_267,complement(complement(X_267))),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_267)),bind(B,$fot(complement(complement(X_267))))]]) ).
cnf(refute_0_3149,plain,
( join(X_267,complement(complement(X_267))) != join(X_267,X_267)
| join(complement(complement(X_267)),X_267) != join(X_267,complement(complement(X_267)))
| join(complement(complement(X_267)),X_267) = join(X_267,X_267) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(X_267)),X_267))),bind(Y,$fot(join(X_267,complement(complement(X_267))))),bind(Z,$fot(join(X_267,X_267)))]]) ).
cnf(refute_0_3150,plain,
( join(X_267,complement(complement(X_267))) != join(X_267,X_267)
| join(complement(complement(X_267)),X_267) = join(X_267,X_267) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_267)),X_267),join(X_267,complement(complement(X_267)))) )],[refute_0_3148,refute_0_3149]) ).
cnf(refute_0_3151,plain,
join(complement(complement(X_267)),X_267) = join(X_267,X_267),
inference(resolve,[$cnf( $equal(join(X_267,complement(complement(X_267))),join(X_267,X_267)) )],[refute_0_3147,refute_0_3150]) ).
cnf(refute_0_3152,plain,
complement(join(complement(complement(X_267)),X_267)) = complement(join(complement(complement(X_267)),X_267)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_267)),X_267)))]]) ).
cnf(refute_0_3153,plain,
( complement(join(complement(complement(X_267)),X_267)) != complement(join(complement(complement(X_267)),X_267))
| join(complement(complement(X_267)),X_267) != join(X_267,X_267)
| complement(join(complement(complement(X_267)),X_267)) = complement(join(X_267,X_267)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_267)),X_267)),complement(join(complement(complement(X_267)),X_267))) ),[1,0],$fot(join(X_267,X_267))]]) ).
cnf(refute_0_3154,plain,
( join(complement(complement(X_267)),X_267) != join(X_267,X_267)
| complement(join(complement(complement(X_267)),X_267)) = complement(join(X_267,X_267)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_267)),X_267)),complement(join(complement(complement(X_267)),X_267))) )],[refute_0_3152,refute_0_3153]) ).
cnf(refute_0_3155,plain,
complement(join(complement(complement(X_267)),X_267)) = complement(join(X_267,X_267)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_267)),X_267),join(X_267,X_267)) )],[refute_0_3151,refute_0_3154]) ).
cnf(refute_0_3156,plain,
join(zero,complement(join(complement(complement(X_267)),X_267))) = complement(join(complement(complement(X_267)),X_267)),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(complement(join(complement(complement(X_267)),X_267))))]]) ).
cnf(refute_0_3157,plain,
( complement(join(complement(complement(X_267)),X_267)) != complement(join(X_267,X_267))
| join(zero,complement(join(complement(complement(X_267)),X_267))) != complement(join(complement(complement(X_267)),X_267))
| join(zero,complement(join(complement(complement(X_267)),X_267))) = complement(join(X_267,X_267)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,complement(join(complement(complement(X_267)),X_267))))),bind(Y,$fot(complement(join(complement(complement(X_267)),X_267)))),bind(Z,$fot(complement(join(X_267,X_267))))]]) ).
cnf(refute_0_3158,plain,
( complement(join(complement(complement(X_267)),X_267)) != complement(join(X_267,X_267))
| join(zero,complement(join(complement(complement(X_267)),X_267))) = complement(join(X_267,X_267)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_267)),X_267))),complement(join(complement(complement(X_267)),X_267))) )],[refute_0_3156,refute_0_3157]) ).
cnf(refute_0_3159,plain,
join(zero,complement(join(complement(complement(X_267)),X_267))) = complement(join(X_267,X_267)),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_267)),X_267)),complement(join(X_267,X_267))) )],[refute_0_3155,refute_0_3158]) ).
cnf(refute_0_3160,plain,
( complement(X_267) != join(zero,complement(join(complement(complement(X_267)),X_267)))
| join(zero,complement(join(complement(complement(X_267)),X_267))) != complement(join(X_267,X_267))
| complement(X_267) = complement(join(X_267,X_267)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_267),complement(join(X_267,X_267))) ),[0],$fot(join(zero,complement(join(complement(complement(X_267)),X_267))))]]) ).
cnf(refute_0_3161,plain,
( complement(X_267) != join(zero,complement(join(complement(complement(X_267)),X_267)))
| complement(X_267) = complement(join(X_267,X_267)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_267)),X_267))),complement(join(X_267,X_267))) )],[refute_0_3159,refute_0_3160]) ).
cnf(refute_0_3162,plain,
complement(X_267) = complement(join(X_267,X_267)),
inference(resolve,[$cnf( $equal(complement(X_267),join(zero,complement(join(complement(complement(X_267)),X_267)))) )],[refute_0_3142,refute_0_3161]) ).
cnf(refute_0_3163,plain,
complement(join(A,B)) = complement(join(join(A,B),join(A,B))),
inference(subst,[],[refute_0_3162:[bind(X_267,$fot(join(A,B)))]]) ).
cnf(refute_0_3164,plain,
join(A,join(B,join(A,B))) = join(join(A,B),join(A,B)),
inference(subst,[],[maddux2_join_associativity_2:[bind(C,$fot(join(A,B)))]]) ).
cnf(refute_0_3165,plain,
( join(A,join(B,join(A,B))) != join(join(A,B),join(A,B))
| join(join(A,B),join(A,B)) = join(A,join(B,join(A,B))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(B,join(A,B))))),bind(Y,$fot(join(join(A,B),join(A,B))))]]) ).
cnf(refute_0_3166,plain,
join(join(A,B),join(A,B)) = join(A,join(B,join(A,B))),
inference(resolve,[$cnf( $equal(join(A,join(B,join(A,B))),join(join(A,B),join(A,B))) )],[refute_0_3164,refute_0_3165]) ).
cnf(refute_0_3167,plain,
( complement(join(A,B)) != complement(join(join(A,B),join(A,B)))
| join(join(A,B),join(A,B)) != join(A,join(B,join(A,B)))
| complement(join(A,B)) = complement(join(A,join(B,join(A,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(A,B)),complement(join(join(A,B),join(A,B)))) ),[1,0],$fot(join(A,join(B,join(A,B))))]]) ).
cnf(refute_0_3168,plain,
( complement(join(A,B)) != complement(join(join(A,B),join(A,B)))
| complement(join(A,B)) = complement(join(A,join(B,join(A,B)))) ),
inference(resolve,[$cnf( $equal(join(join(A,B),join(A,B)),join(A,join(B,join(A,B)))) )],[refute_0_3166,refute_0_3167]) ).
cnf(refute_0_3169,plain,
complement(join(A,B)) = complement(join(A,join(B,join(A,B)))),
inference(resolve,[$cnf( $equal(complement(join(A,B)),complement(join(join(A,B),join(A,B)))) )],[refute_0_3163,refute_0_3168]) ).
cnf(refute_0_3170,plain,
join(A,join(X_32,X_32)) = join(X_32,join(X_32,A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(X_32))]]) ).
cnf(refute_0_3171,plain,
join(X_268,X_268) = complement(complement(join(X_268,X_268))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(join(X_268,X_268)))]]) ).
cnf(refute_0_3172,plain,
complement(X_268) = complement(join(X_268,X_268)),
inference(subst,[],[refute_0_3162:[bind(X_267,$fot(X_268))]]) ).
cnf(refute_0_3173,plain,
( complement(X_268) != complement(join(X_268,X_268))
| complement(join(X_268,X_268)) = complement(X_268) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_268))),bind(Y,$fot(complement(join(X_268,X_268))))]]) ).
cnf(refute_0_3174,plain,
complement(join(X_268,X_268)) = complement(X_268),
inference(resolve,[$cnf( $equal(complement(X_268),complement(join(X_268,X_268))) )],[refute_0_3172,refute_0_3173]) ).
cnf(refute_0_3175,plain,
( complement(join(X_268,X_268)) != complement(X_268)
| join(X_268,X_268) != complement(complement(join(X_268,X_268)))
| join(X_268,X_268) = complement(complement(X_268)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_268,X_268),complement(complement(join(X_268,X_268)))) ),[1,0],$fot(complement(X_268))]]) ).
cnf(refute_0_3176,plain,
( join(X_268,X_268) != complement(complement(join(X_268,X_268)))
| join(X_268,X_268) = complement(complement(X_268)) ),
inference(resolve,[$cnf( $equal(complement(join(X_268,X_268)),complement(X_268)) )],[refute_0_3174,refute_0_3175]) ).
cnf(refute_0_3177,plain,
join(X_268,X_268) = complement(complement(X_268)),
inference(resolve,[$cnf( $equal(join(X_268,X_268),complement(complement(join(X_268,X_268)))) )],[refute_0_3171,refute_0_3176]) ).
cnf(refute_0_3178,plain,
complement(complement(X_268)) = X_268,
inference(subst,[],[refute_0_623:[bind(X_97,$fot(X_268))]]) ).
cnf(refute_0_3179,plain,
( complement(complement(X_268)) != X_268
| join(X_268,X_268) != complement(complement(X_268))
| join(X_268,X_268) = X_268 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_268,X_268),complement(complement(X_268))) ),[1],$fot(X_268)]]) ).
cnf(refute_0_3180,plain,
( join(X_268,X_268) != complement(complement(X_268))
| join(X_268,X_268) = X_268 ),
inference(resolve,[$cnf( $equal(complement(complement(X_268)),X_268) )],[refute_0_3178,refute_0_3179]) ).
cnf(refute_0_3181,plain,
join(X_268,X_268) = X_268,
inference(resolve,[$cnf( $equal(join(X_268,X_268),complement(complement(X_268))) )],[refute_0_3177,refute_0_3180]) ).
cnf(refute_0_3182,plain,
join(X_32,X_32) = X_32,
inference(subst,[],[refute_0_3181:[bind(X_268,$fot(X_32))]]) ).
cnf(refute_0_3183,plain,
( join(A,join(X_32,X_32)) != join(X_32,join(X_32,A))
| join(X_32,X_32) != X_32
| join(A,X_32) = join(X_32,join(X_32,A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(X_32,X_32)),join(X_32,join(X_32,A))) ),[0,1],$fot(X_32)]]) ).
cnf(refute_0_3184,plain,
( join(A,join(X_32,X_32)) != join(X_32,join(X_32,A))
| join(A,X_32) = join(X_32,join(X_32,A)) ),
inference(resolve,[$cnf( $equal(join(X_32,X_32),X_32) )],[refute_0_3182,refute_0_3183]) ).
cnf(refute_0_3185,plain,
join(A,X_32) = join(X_32,join(X_32,A)),
inference(resolve,[$cnf( $equal(join(A,join(X_32,X_32)),join(X_32,join(X_32,A))) )],[refute_0_3170,refute_0_3184]) ).
cnf(refute_0_3186,plain,
( join(A,X_32) != join(X_32,join(X_32,A))
| join(X_32,join(X_32,A)) = join(A,X_32) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,X_32))),bind(Y,$fot(join(X_32,join(X_32,A))))]]) ).
cnf(refute_0_3187,plain,
join(X_32,join(X_32,A)) = join(A,X_32),
inference(resolve,[$cnf( $equal(join(A,X_32),join(X_32,join(X_32,A))) )],[refute_0_3185,refute_0_3186]) ).
cnf(refute_0_3188,plain,
join(A,join(A,B)) = join(B,A),
inference(subst,[],[refute_0_3187:[bind(A,$fot(B)),bind(X_32,$fot(A))]]) ).
cnf(refute_0_3189,plain,
join(A,join(X_31,A)) = join(X_31,join(A,A)),
inference(subst,[],[refute_0_269:[bind(X_32,$fot(A))]]) ).
cnf(refute_0_3190,plain,
join(A,A) = A,
inference(subst,[],[refute_0_3181:[bind(X_268,$fot(A))]]) ).
cnf(refute_0_3191,plain,
( join(A,A) != A
| join(A,join(X_31,A)) != join(X_31,join(A,A))
| join(A,join(X_31,A)) = join(X_31,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(X_31,A)),join(X_31,join(A,A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_3192,plain,
( join(A,join(X_31,A)) != join(X_31,join(A,A))
| join(A,join(X_31,A)) = join(X_31,A) ),
inference(resolve,[$cnf( $equal(join(A,A),A) )],[refute_0_3190,refute_0_3191]) ).
cnf(refute_0_3193,plain,
join(A,join(X_31,A)) = join(X_31,A),
inference(resolve,[$cnf( $equal(join(A,join(X_31,A)),join(X_31,join(A,A))) )],[refute_0_3189,refute_0_3192]) ).
cnf(refute_0_3194,plain,
join(B,join(A,B)) = join(A,B),
inference(subst,[],[refute_0_3193:[bind(A,$fot(B)),bind(X_31,$fot(A))]]) ).
cnf(refute_0_3195,plain,
join(A,join(B,join(A,B))) = join(A,join(B,join(A,B))),
introduced(tautology,[refl,[$fot(join(A,join(B,join(A,B))))]]) ).
cnf(refute_0_3196,plain,
( join(A,join(B,join(A,B))) != join(A,join(B,join(A,B)))
| join(B,join(A,B)) != join(A,B)
| join(A,join(B,join(A,B))) = join(A,join(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(B,join(A,B))),join(A,join(B,join(A,B)))) ),[1,1],$fot(join(A,B))]]) ).
cnf(refute_0_3197,plain,
( join(B,join(A,B)) != join(A,B)
| join(A,join(B,join(A,B))) = join(A,join(A,B)) ),
inference(resolve,[$cnf( $equal(join(A,join(B,join(A,B))),join(A,join(B,join(A,B)))) )],[refute_0_3195,refute_0_3196]) ).
cnf(refute_0_3198,plain,
join(A,join(B,join(A,B))) = join(A,join(A,B)),
inference(resolve,[$cnf( $equal(join(B,join(A,B)),join(A,B)) )],[refute_0_3194,refute_0_3197]) ).
cnf(refute_0_3199,plain,
( join(A,join(A,B)) != join(B,A)
| join(A,join(B,join(A,B))) != join(A,join(A,B))
| join(A,join(B,join(A,B))) = join(B,A) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(A,join(B,join(A,B))))),bind(Y,$fot(join(A,join(A,B)))),bind(Z,$fot(join(B,A)))]]) ).
cnf(refute_0_3200,plain,
( join(A,join(A,B)) != join(B,A)
| join(A,join(B,join(A,B))) = join(B,A) ),
inference(resolve,[$cnf( $equal(join(A,join(B,join(A,B))),join(A,join(A,B))) )],[refute_0_3198,refute_0_3199]) ).
cnf(refute_0_3201,plain,
join(A,join(B,join(A,B))) = join(B,A),
inference(resolve,[$cnf( $equal(join(A,join(A,B)),join(B,A)) )],[refute_0_3188,refute_0_3200]) ).
cnf(refute_0_3202,plain,
complement(join(A,join(B,join(A,B)))) = complement(join(A,join(B,join(A,B)))),
introduced(tautology,[refl,[$fot(complement(join(A,join(B,join(A,B)))))]]) ).
cnf(refute_0_3203,plain,
( complement(join(A,join(B,join(A,B)))) != complement(join(A,join(B,join(A,B))))
| join(A,join(B,join(A,B))) != join(B,A)
| complement(join(A,join(B,join(A,B)))) = complement(join(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(A,join(B,join(A,B)))),complement(join(A,join(B,join(A,B))))) ),[1,0],$fot(join(B,A))]]) ).
cnf(refute_0_3204,plain,
( join(A,join(B,join(A,B))) != join(B,A)
| complement(join(A,join(B,join(A,B)))) = complement(join(B,A)) ),
inference(resolve,[$cnf( $equal(complement(join(A,join(B,join(A,B)))),complement(join(A,join(B,join(A,B))))) )],[refute_0_3202,refute_0_3203]) ).
cnf(refute_0_3205,plain,
complement(join(A,join(B,join(A,B)))) = complement(join(B,A)),
inference(resolve,[$cnf( $equal(join(A,join(B,join(A,B))),join(B,A)) )],[refute_0_3201,refute_0_3204]) ).
cnf(refute_0_3206,plain,
( complement(join(A,B)) != complement(join(A,join(B,join(A,B))))
| complement(join(A,join(B,join(A,B)))) != complement(join(B,A))
| complement(join(A,B)) = complement(join(B,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(A,B)),complement(join(B,A))) ),[0],$fot(complement(join(A,join(B,join(A,B)))))]]) ).
cnf(refute_0_3207,plain,
( complement(join(A,B)) != complement(join(A,join(B,join(A,B))))
| complement(join(A,B)) = complement(join(B,A)) ),
inference(resolve,[$cnf( $equal(complement(join(A,join(B,join(A,B)))),complement(join(B,A))) )],[refute_0_3205,refute_0_3206]) ).
cnf(refute_0_3208,plain,
complement(join(A,B)) = complement(join(B,A)),
inference(resolve,[$cnf( $equal(complement(join(A,B)),complement(join(A,join(B,join(A,B))))) )],[refute_0_3169,refute_0_3207]) ).
cnf(refute_0_3209,plain,
( complement(join(A,B)) != complement(join(B,A))
| complement(join(B,A)) = complement(join(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(A,B)))),bind(Y,$fot(complement(join(B,A))))]]) ).
cnf(refute_0_3210,plain,
complement(join(B,A)) = complement(join(A,B)),
inference(resolve,[$cnf( $equal(complement(join(A,B)),complement(join(B,A))) )],[refute_0_3208,refute_0_3209]) ).
cnf(refute_0_3211,plain,
complement(join(complement(X_279),one)) = complement(join(one,complement(X_279))),
inference(subst,[],[refute_0_3210:[bind(A,$fot(one)),bind(B,$fot(complement(X_279)))]]) ).
cnf(refute_0_3212,plain,
( complement(join(complement(X_279),one)) != complement(join(one,complement(X_279)))
| meet(X_279,complement(one)) != complement(join(complement(X_279),one))
| meet(X_279,complement(one)) = complement(join(one,complement(X_279))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(one)),complement(join(complement(X_279),one))) ),[1],$fot(complement(join(one,complement(X_279))))]]) ).
cnf(refute_0_3213,plain,
( meet(X_279,complement(one)) != complement(join(complement(X_279),one))
| meet(X_279,complement(one)) = complement(join(one,complement(X_279))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_279),one)),complement(join(one,complement(X_279)))) )],[refute_0_3211,refute_0_3212]) ).
cnf(refute_0_3214,plain,
( meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))) != complement(join(complement(X_279),one))
| meet(X_279,complement(one)) = complement(join(one,complement(X_279))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(one)),complement(join(complement(X_279),one))) )],[refute_0_3135,refute_0_3213]) ).
cnf(refute_0_3215,plain,
meet(X_279,complement(one)) = complement(join(one,complement(X_279))),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(one,complement(meet(complement(one),converse(complement(converse(complement(sk1))))))))),complement(join(complement(X_279),one))) )],[refute_0_3129,refute_0_3214]) ).
cnf(refute_0_3216,plain,
( meet(X_279,complement(one)) != complement(join(one,complement(X_279)))
| complement(join(one,complement(X_279))) = meet(X_279,complement(one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_279,complement(one)))),bind(Y,$fot(complement(join(one,complement(X_279)))))]]) ).
cnf(refute_0_3217,plain,
complement(join(one,complement(X_279))) = meet(X_279,complement(one)),
inference(resolve,[$cnf( $equal(meet(X_279,complement(one)),complement(join(one,complement(X_279)))) )],[refute_0_3215,refute_0_3216]) ).
cnf(refute_0_3218,plain,
complement(join(one,complement(converse(join(one,X_12))))) = meet(converse(join(one,X_12)),complement(one)),
inference(subst,[],[refute_0_3217:[bind(X_279,$fot(converse(join(one,X_12))))]]) ).
cnf(refute_0_3219,plain,
( complement(join(one,complement(converse(join(one,X_12))))) != meet(converse(join(one,X_12)),complement(one))
| meet(converse(join(one,X_12)),complement(one)) != meet(complement(one),converse(join(one,X_12)))
| complement(join(one,complement(converse(join(one,X_12))))) = meet(complement(one),converse(join(one,X_12))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(one,complement(converse(join(one,X_12))))))),bind(Y,$fot(meet(converse(join(one,X_12)),complement(one)))),bind(Z,$fot(meet(complement(one),converse(join(one,X_12)))))]]) ).
cnf(refute_0_3220,plain,
( meet(converse(join(one,X_12)),complement(one)) != meet(complement(one),converse(join(one,X_12)))
| complement(join(one,complement(converse(join(one,X_12))))) = meet(complement(one),converse(join(one,X_12))) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(converse(join(one,X_12))))),meet(converse(join(one,X_12)),complement(one))) )],[refute_0_3218,refute_0_3219]) ).
cnf(refute_0_3221,plain,
complement(join(one,complement(converse(join(one,X_12))))) = meet(complement(one),converse(join(one,X_12))),
inference(resolve,[$cnf( $equal(meet(converse(join(one,X_12)),complement(one)),meet(complement(one),converse(join(one,X_12)))) )],[refute_0_1519,refute_0_3220]) ).
cnf(refute_0_3222,plain,
join(one,complement(join(one,complement(converse(join(one,X_12)))))) = join(one,complement(join(one,complement(converse(join(one,X_12)))))),
introduced(tautology,[refl,[$fot(join(one,complement(join(one,complement(converse(join(one,X_12)))))))]]) ).
cnf(refute_0_3223,plain,
( complement(join(one,complement(converse(join(one,X_12))))) != meet(complement(one),converse(join(one,X_12)))
| join(one,complement(join(one,complement(converse(join(one,X_12)))))) != join(one,complement(join(one,complement(converse(join(one,X_12))))))
| join(one,complement(join(one,complement(converse(join(one,X_12)))))) = join(one,meet(complement(one),converse(join(one,X_12)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(one,complement(converse(join(one,X_12)))))),join(one,complement(join(one,complement(converse(join(one,X_12))))))) ),[1,1],$fot(meet(complement(one),converse(join(one,X_12))))]]) ).
cnf(refute_0_3224,plain,
( complement(join(one,complement(converse(join(one,X_12))))) != meet(complement(one),converse(join(one,X_12)))
| join(one,complement(join(one,complement(converse(join(one,X_12)))))) = join(one,meet(complement(one),converse(join(one,X_12)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,complement(converse(join(one,X_12)))))),join(one,complement(join(one,complement(converse(join(one,X_12))))))) )],[refute_0_3222,refute_0_3223]) ).
cnf(refute_0_3225,plain,
join(one,complement(join(one,complement(converse(join(one,X_12)))))) = join(one,meet(complement(one),converse(join(one,X_12)))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(converse(join(one,X_12))))),meet(complement(one),converse(join(one,X_12)))) )],[refute_0_3221,refute_0_3224]) ).
cnf(refute_0_3226,plain,
( converse(join(one,X_12)) != join(one,complement(join(one,complement(converse(join(one,X_12))))))
| join(one,complement(join(one,complement(converse(join(one,X_12)))))) != join(one,meet(complement(one),converse(join(one,X_12))))
| converse(join(one,X_12)) = join(one,meet(complement(one),converse(join(one,X_12)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,X_12)),join(one,meet(complement(one),converse(join(one,X_12))))) ),[0],$fot(join(one,complement(join(one,complement(converse(join(one,X_12)))))))]]) ).
cnf(refute_0_3227,plain,
( converse(join(one,X_12)) != join(one,complement(join(one,complement(converse(join(one,X_12))))))
| converse(join(one,X_12)) = join(one,meet(complement(one),converse(join(one,X_12)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,complement(converse(join(one,X_12)))))),join(one,meet(complement(one),converse(join(one,X_12))))) )],[refute_0_3225,refute_0_3226]) ).
cnf(refute_0_3228,plain,
converse(join(one,X_12)) = join(one,meet(complement(one),converse(join(one,X_12)))),
inference(resolve,[$cnf( $equal(converse(join(one,X_12)),join(one,complement(join(one,complement(converse(join(one,X_12))))))) )],[refute_0_1518,refute_0_3227]) ).
cnf(refute_0_3229,plain,
converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) = join(one,meet(complement(one),converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))))),
inference(subst,[],[refute_0_3228:[bind(X_12,$fot(complement(join(one,composition(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_3230,plain,
complement(X_97) = join(meet(complement(X_97),X_259),complement(join(X_259,complement(complement(X_97))))),
inference(subst,[],[refute_0_1535:[bind(X_97,$fot(complement(X_97))),bind(X_98,$fot(X_259))]]) ).
cnf(refute_0_3231,plain,
( complement(X_97) != join(meet(complement(X_97),X_259),complement(join(X_259,complement(complement(X_97)))))
| complement(complement(X_97)) != X_97
| complement(X_97) = join(meet(complement(X_97),X_259),complement(join(X_259,X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_97),join(meet(complement(X_97),X_259),complement(join(X_259,complement(complement(X_97)))))) ),[1,1,0,1],$fot(X_97)]]) ).
cnf(refute_0_3232,plain,
( complement(X_97) != join(meet(complement(X_97),X_259),complement(join(X_259,complement(complement(X_97)))))
| complement(X_97) = join(meet(complement(X_97),X_259),complement(join(X_259,X_97))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_3231]) ).
cnf(refute_0_3233,plain,
complement(X_97) = join(meet(complement(X_97),X_259),complement(join(X_259,X_97))),
inference(resolve,[$cnf( $equal(complement(X_97),join(meet(complement(X_97),X_259),complement(join(X_259,complement(complement(X_97)))))) )],[refute_0_3230,refute_0_3232]) ).
cnf(refute_0_3234,plain,
join(meet(complement(X_97),X_259),complement(join(X_259,X_97))) = join(complement(join(X_259,X_97)),meet(complement(X_97),X_259)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(X_259,X_97)))),bind(B,$fot(meet(complement(X_97),X_259)))]]) ).
cnf(refute_0_3235,plain,
( complement(X_97) != join(meet(complement(X_97),X_259),complement(join(X_259,X_97)))
| join(meet(complement(X_97),X_259),complement(join(X_259,X_97))) != join(complement(join(X_259,X_97)),meet(complement(X_97),X_259))
| complement(X_97) = join(complement(join(X_259,X_97)),meet(complement(X_97),X_259)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_97),join(complement(join(X_259,X_97)),meet(complement(X_97),X_259))) ),[0],$fot(join(meet(complement(X_97),X_259),complement(join(X_259,X_97))))]]) ).
cnf(refute_0_3236,plain,
( complement(X_97) != join(meet(complement(X_97),X_259),complement(join(X_259,X_97)))
| complement(X_97) = join(complement(join(X_259,X_97)),meet(complement(X_97),X_259)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_97),X_259),complement(join(X_259,X_97))),join(complement(join(X_259,X_97)),meet(complement(X_97),X_259))) )],[refute_0_3234,refute_0_3235]) ).
cnf(refute_0_3237,plain,
complement(X_97) = join(complement(join(X_259,X_97)),meet(complement(X_97),X_259)),
inference(resolve,[$cnf( $equal(complement(X_97),join(meet(complement(X_97),X_259),complement(join(X_259,X_97)))) )],[refute_0_3233,refute_0_3236]) ).
cnf(refute_0_3238,plain,
complement(composition(complement(sk1),converse(sk1))) = join(complement(join(complement(one),composition(complement(sk1),converse(sk1)))),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))),
inference(subst,[],[refute_0_3237:[bind(X_259,$fot(complement(one))),bind(X_97,$fot(composition(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_3239,plain,
join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))))) = complement(one),
inference(subst,[],[refute_0_1663:[bind(X_60,$fot(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))))]]) ).
cnf(refute_0_3240,plain,
meet(X_267,X_266) = meet(meet(X_267,X_266),join(meet(X_267,X_266),complement(join(complement(X_266),X_267)))),
inference(subst,[],[refute_0_677:[bind(X_33,$fot(complement(join(complement(X_266),X_267)))),bind(X_97,$fot(meet(X_267,X_266)))]]) ).
cnf(refute_0_3241,plain,
X_266 = join(meet(X_267,X_266),complement(join(complement(X_266),X_267))),
inference(subst,[],[refute_0_1502:[bind(X_97,$fot(X_266)),bind(X_98,$fot(X_267))]]) ).
cnf(refute_0_3242,plain,
( X_266 != join(meet(X_267,X_266),complement(join(complement(X_266),X_267)))
| join(meet(X_267,X_266),complement(join(complement(X_266),X_267))) = X_266 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_266)),bind(Y,$fot(join(meet(X_267,X_266),complement(join(complement(X_266),X_267)))))]]) ).
cnf(refute_0_3243,plain,
join(meet(X_267,X_266),complement(join(complement(X_266),X_267))) = X_266,
inference(resolve,[$cnf( $equal(X_266,join(meet(X_267,X_266),complement(join(complement(X_266),X_267)))) )],[refute_0_3241,refute_0_3242]) ).
cnf(refute_0_3244,plain,
( join(meet(X_267,X_266),complement(join(complement(X_266),X_267))) != X_266
| meet(X_267,X_266) != meet(meet(X_267,X_266),join(meet(X_267,X_266),complement(join(complement(X_266),X_267))))
| meet(X_267,X_266) = meet(meet(X_267,X_266),X_266) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_267,X_266),meet(meet(X_267,X_266),join(meet(X_267,X_266),complement(join(complement(X_266),X_267))))) ),[1,1],$fot(X_266)]]) ).
cnf(refute_0_3245,plain,
( meet(X_267,X_266) != meet(meet(X_267,X_266),join(meet(X_267,X_266),complement(join(complement(X_266),X_267))))
| meet(X_267,X_266) = meet(meet(X_267,X_266),X_266) ),
inference(resolve,[$cnf( $equal(join(meet(X_267,X_266),complement(join(complement(X_266),X_267))),X_266) )],[refute_0_3243,refute_0_3244]) ).
cnf(refute_0_3246,plain,
meet(X_267,X_266) = meet(meet(X_267,X_266),X_266),
inference(resolve,[$cnf( $equal(meet(X_267,X_266),meet(meet(X_267,X_266),join(meet(X_267,X_266),complement(join(complement(X_266),X_267))))) )],[refute_0_3240,refute_0_3245]) ).
cnf(refute_0_3247,plain,
meet(meet(X_267,X_266),X_266) = meet(X_266,meet(X_267,X_266)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(X_266)),bind(X_7,$fot(meet(X_267,X_266)))]]) ).
cnf(refute_0_3248,plain,
( meet(X_267,X_266) != meet(meet(X_267,X_266),X_266)
| meet(meet(X_267,X_266),X_266) != meet(X_266,meet(X_267,X_266))
| meet(X_267,X_266) = meet(X_266,meet(X_267,X_266)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_267,X_266),meet(X_266,meet(X_267,X_266))) ),[0],$fot(meet(meet(X_267,X_266),X_266))]]) ).
cnf(refute_0_3249,plain,
( meet(X_267,X_266) != meet(meet(X_267,X_266),X_266)
| meet(X_267,X_266) = meet(X_266,meet(X_267,X_266)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_267,X_266),X_266),meet(X_266,meet(X_267,X_266))) )],[refute_0_3247,refute_0_3248]) ).
cnf(refute_0_3250,plain,
meet(X_267,X_266) = meet(X_266,meet(X_267,X_266)),
inference(resolve,[$cnf( $equal(meet(X_267,X_266),meet(meet(X_267,X_266),X_266)) )],[refute_0_3246,refute_0_3249]) ).
cnf(refute_0_3251,plain,
meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) = meet(complement(meet(converse(sk1),converse(complement(sk1)))),meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))),
inference(subst,[],[refute_0_3250:[bind(X_266,$fot(complement(meet(converse(sk1),converse(complement(sk1)))))),bind(X_267,$fot(converse(sk1)))]]) ).
cnf(refute_0_3252,plain,
meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) = complement(complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))))]]) ).
cnf(refute_0_3253,plain,
converse(complement(sk1)) = join(meet(complement(converse(sk1)),converse(complement(sk1))),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))),
inference(subst,[],[refute_0_1502:[bind(X_97,$fot(converse(complement(sk1)))),bind(X_98,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_3254,plain,
meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) = meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))))),
inference(subst,[],[refute_0_1714:[bind(X_97,$fot(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))]]) ).
cnf(refute_0_3255,plain,
converse(sk1) = join(meet(converse(sk1),complement(converse(complement(sk1)))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(converse(sk1))),bind(B,$fot(complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_3256,plain,
meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) = meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))))))),
inference(subst,[],[refute_0_1714:[bind(X_97,$fot(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))))]]) ).
cnf(refute_0_3257,plain,
( complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) != converse(complement(sk1))
| meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))))))
| meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) = meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))))))) ),[1,1,0,0,0],$fot(converse(complement(sk1)))]]) ).
cnf(refute_0_3258,plain,
( meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))))))
| meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) = meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),converse(complement(sk1))) )],[refute_0_2698,refute_0_3257]) ).
cnf(refute_0_3259,plain,
meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) = meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(complement(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))))))) )],[refute_0_3256,refute_0_3258]) ).
cnf(refute_0_3260,plain,
( meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != complement(converse(complement(sk1)))
| meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1))))))
| complement(converse(complement(sk1))) = meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1))))))) ),[0],$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_3261,plain,
( meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1))))))
| complement(converse(complement(sk1))) = meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),complement(converse(complement(sk1)))) )],[refute_0_2701,refute_0_3260]) ).
cnf(refute_0_3262,plain,
meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) = meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),
introduced(tautology,[refl,[$fot(meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))))]]) ).
cnf(refute_0_3263,plain,
( meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) != meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))
| meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != complement(converse(complement(sk1)))
| meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) = meet(converse(sk1),complement(converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))) ),[1,1],$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_3264,plain,
( meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != complement(converse(complement(sk1)))
| meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) = meet(converse(sk1),complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))) )],[refute_0_3262,refute_0_3263]) ).
cnf(refute_0_3265,plain,
meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) = meet(converse(sk1),complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),complement(converse(complement(sk1)))) )],[refute_0_2701,refute_0_3264]) ).
cnf(refute_0_3266,plain,
converse(converse(complement(sk1))) = complement(sk1),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(sk1)))]]) ).
cnf(refute_0_3267,plain,
complement(converse(converse(complement(sk1)))) = complement(converse(converse(complement(sk1)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(complement(sk1)))))]]) ).
cnf(refute_0_3268,plain,
( complement(converse(converse(complement(sk1)))) != complement(converse(converse(complement(sk1))))
| converse(converse(complement(sk1))) != complement(sk1)
| complement(converse(converse(complement(sk1)))) = complement(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(complement(sk1)))),complement(converse(converse(complement(sk1))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_3269,plain,
( converse(converse(complement(sk1))) != complement(sk1)
| complement(converse(converse(complement(sk1)))) = complement(complement(sk1)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(sk1)))),complement(converse(converse(complement(sk1))))) )],[refute_0_3267,refute_0_3268]) ).
cnf(refute_0_3270,plain,
complement(converse(converse(complement(sk1)))) = complement(complement(sk1)),
inference(resolve,[$cnf( $equal(converse(converse(complement(sk1))),complement(sk1)) )],[refute_0_3266,refute_0_3269]) ).
cnf(refute_0_3271,plain,
( complement(complement(sk1)) != sk1
| complement(converse(converse(complement(sk1)))) != complement(complement(sk1))
| complement(converse(converse(complement(sk1)))) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(converse(complement(sk1)))))),bind(Y,$fot(complement(complement(sk1)))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_3272,plain,
( complement(complement(sk1)) != sk1
| complement(converse(converse(complement(sk1)))) = sk1 ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(sk1)))),complement(complement(sk1))) )],[refute_0_3270,refute_0_3271]) ).
cnf(refute_0_3273,plain,
complement(converse(converse(complement(sk1)))) = sk1,
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_2273,refute_0_3272]) ).
cnf(refute_0_3274,plain,
converse(complement(converse(converse(complement(sk1))))) = converse(complement(converse(converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(complement(sk1))))))]]) ).
cnf(refute_0_3275,plain,
( complement(converse(converse(complement(sk1)))) != sk1
| converse(complement(converse(converse(complement(sk1))))) != converse(complement(converse(converse(complement(sk1)))))
| converse(complement(converse(converse(complement(sk1))))) = converse(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(complement(sk1))))),converse(complement(converse(converse(complement(sk1)))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_3276,plain,
( complement(converse(converse(complement(sk1)))) != sk1
| converse(complement(converse(converse(complement(sk1))))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(sk1))))),converse(complement(converse(converse(complement(sk1)))))) )],[refute_0_3274,refute_0_3275]) ).
cnf(refute_0_3277,plain,
converse(complement(converse(converse(complement(sk1))))) = converse(sk1),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(sk1)))),sk1) )],[refute_0_3273,refute_0_3276]) ).
cnf(refute_0_3278,plain,
meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) = meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))))]]) ).
cnf(refute_0_3279,plain,
( converse(complement(converse(converse(complement(sk1))))) != converse(sk1)
| meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) != meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))
| meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) = meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_3280,plain,
( converse(complement(converse(converse(complement(sk1))))) != converse(sk1)
| meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) = meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))) )],[refute_0_3278,refute_0_3279]) ).
cnf(refute_0_3281,plain,
meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) = meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(sk1))))),converse(sk1)) )],[refute_0_3277,refute_0_3280]) ).
cnf(refute_0_3282,plain,
( meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) != meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))
| meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) != meet(converse(sk1),complement(converse(complement(sk1))))
| meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) = meet(converse(sk1),complement(converse(complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))))),bind(Y,$fot(meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))))),bind(Z,$fot(meet(converse(sk1),complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3283,plain,
( meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) != meet(converse(sk1),complement(converse(complement(sk1))))
| meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) = meet(converse(sk1),complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))) )],[refute_0_3281,refute_0_3282]) ).
cnf(refute_0_3284,plain,
meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) = meet(converse(sk1),complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(sk1),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),meet(converse(sk1),complement(converse(complement(sk1))))) )],[refute_0_3265,refute_0_3283]) ).
cnf(refute_0_3285,plain,
meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))) = meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(complement(converse(converse(complement(sk1))))))),bind(X_7,$fot(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))))]]) ).
cnf(refute_0_3286,plain,
( meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) != meet(converse(sk1),complement(converse(complement(sk1))))
| meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))) != meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))
| meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))) = meet(converse(sk1),complement(converse(complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))))),bind(Y,$fot(meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))))),bind(Z,$fot(meet(converse(sk1),complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3287,plain,
( meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))) != meet(converse(sk1),complement(converse(complement(sk1))))
| meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))) = meet(converse(sk1),complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))),meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))))) )],[refute_0_3285,refute_0_3286]) ).
cnf(refute_0_3288,plain,
meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))) = meet(converse(sk1),complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(complement(sk1))))),meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1))))))),meet(converse(sk1),complement(converse(complement(sk1))))) )],[refute_0_3284,refute_0_3287]) ).
cnf(refute_0_3289,plain,
( complement(converse(complement(sk1))) != meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1))))))
| meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))) != meet(converse(sk1),complement(converse(complement(sk1))))
| complement(converse(complement(sk1))) = meet(converse(sk1),complement(converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(sk1))),meet(converse(sk1),complement(converse(complement(sk1))))) ),[0],$fot(meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))))]]) ).
cnf(refute_0_3290,plain,
( complement(converse(complement(sk1))) != meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1))))))
| complement(converse(complement(sk1))) = meet(converse(sk1),complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1)))))),meet(converse(sk1),complement(converse(complement(sk1))))) )],[refute_0_3288,refute_0_3289]) ).
cnf(refute_0_3291,plain,
( meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))) != meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1))))))
| complement(converse(complement(sk1))) = meet(converse(sk1),complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(sk1))),meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1))))))) )],[refute_0_3261,refute_0_3290]) ).
cnf(refute_0_3292,plain,
complement(converse(complement(sk1))) = meet(converse(sk1),complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),meet(meet(one,complement(meet(converse(complement(sk1)),meet(one,converse(complement(sk1)))))),converse(complement(converse(converse(complement(sk1))))))) )],[refute_0_3259,refute_0_3291]) ).
cnf(refute_0_3293,plain,
( complement(converse(complement(sk1))) != meet(converse(sk1),complement(converse(complement(sk1))))
| meet(converse(sk1),complement(converse(complement(sk1)))) = complement(converse(complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(complement(sk1))))),bind(Y,$fot(meet(converse(sk1),complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3294,plain,
meet(converse(sk1),complement(converse(complement(sk1)))) = complement(converse(complement(sk1))),
inference(resolve,[$cnf( $equal(complement(converse(complement(sk1))),meet(converse(sk1),complement(converse(complement(sk1))))) )],[refute_0_3292,refute_0_3293]) ).
cnf(refute_0_3295,plain,
( converse(sk1) != join(meet(converse(sk1),complement(converse(complement(sk1)))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1))))))
| meet(converse(sk1),complement(converse(complement(sk1)))) != complement(converse(complement(sk1)))
| converse(sk1) = join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),join(meet(converse(sk1),complement(converse(complement(sk1)))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1))))))) ),[1,0],$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_3296,plain,
( converse(sk1) != join(meet(converse(sk1),complement(converse(complement(sk1)))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1))))))
| converse(sk1) = join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(converse(complement(sk1)))),complement(converse(complement(sk1)))) )],[refute_0_3294,refute_0_3295]) ).
cnf(refute_0_3297,plain,
converse(sk1) = join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(converse(sk1),join(meet(converse(sk1),complement(converse(complement(sk1)))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1))))))) )],[refute_0_3255,refute_0_3296]) ).
cnf(refute_0_3298,plain,
join(complement(converse(sk1)),complement(converse(complement(sk1)))) = complement(meet(converse(sk1),converse(complement(sk1)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(converse(sk1))),bind(B,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_3299,plain,
meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))) = meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3300,plain,
( join(complement(converse(sk1)),complement(converse(complement(sk1)))) != complement(meet(converse(sk1),converse(complement(sk1))))
| meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))) != meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))
| meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))) = meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))),meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))) ),[1,1],$fot(complement(meet(converse(sk1),converse(complement(sk1)))))]]) ).
cnf(refute_0_3301,plain,
( join(complement(converse(sk1)),complement(converse(complement(sk1)))) != complement(meet(converse(sk1),converse(complement(sk1))))
| meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))) = meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))),meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))) )],[refute_0_3299,refute_0_3300]) ).
cnf(refute_0_3302,plain,
meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))) = meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),complement(converse(complement(sk1)))),complement(meet(converse(sk1),converse(complement(sk1))))) )],[refute_0_3298,refute_0_3301]) ).
cnf(refute_0_3303,plain,
complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))),
introduced(tautology,[refl,[$fot(complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))))]]) ).
cnf(refute_0_3304,plain,
( complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))) != complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))))
| meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))) != meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))
| complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))),complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))))) ),[1,0],$fot(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))]]) ).
cnf(refute_0_3305,plain,
( meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))) != meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))
| complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))),complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))))) )],[refute_0_3303,refute_0_3304]) ).
cnf(refute_0_3306,plain,
complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) )],[refute_0_3302,refute_0_3305]) ).
cnf(refute_0_3307,plain,
join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(converse(complement(sk1)))),bind(B,$fot(join(complement(converse(sk1)),complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3308,plain,
( complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))) != complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))
| join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))) != complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))))
| join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))))),bind(Y,$fot(complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))))),bind(Z,$fot(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))))]]) ).
cnf(refute_0_3309,plain,
( complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))) != complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))
| join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))),complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1))))))) )],[refute_0_3307,refute_0_3308]) ).
cnf(refute_0_3310,plain,
join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))) = complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(sk1)),join(complement(converse(sk1)),complement(converse(complement(sk1)))))),complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))) )],[refute_0_3306,refute_0_3309]) ).
cnf(refute_0_3311,plain,
( converse(sk1) != join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1))))))
| join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))) != complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))
| converse(sk1) = complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk1),complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))) ),[0],$fot(join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))))]]) ).
cnf(refute_0_3312,plain,
( converse(sk1) != join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1))))))
| converse(sk1) = complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1)))))),complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))) )],[refute_0_3310,refute_0_3311]) ).
cnf(refute_0_3313,plain,
converse(sk1) = complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(converse(sk1),join(complement(converse(complement(sk1))),complement(join(complement(converse(sk1)),complement(converse(complement(sk1))))))) )],[refute_0_3297,refute_0_3312]) ).
cnf(refute_0_3314,plain,
( converse(sk1) != complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))
| complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))))]]) ).
cnf(refute_0_3315,plain,
complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))) )],[refute_0_3313,refute_0_3314]) ).
cnf(refute_0_3316,plain,
( complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) != converse(sk1)
| meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) != meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))))))
| meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) = meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))))))) ),[1,1,0,0,0],$fot(converse(sk1))]]) ).
cnf(refute_0_3317,plain,
( meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) != meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))))))
| meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) = meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),converse(sk1)) )],[refute_0_3315,refute_0_3316]) ).
cnf(refute_0_3318,plain,
meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) = meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))))))) )],[refute_0_3254,refute_0_3317]) ).
cnf(refute_0_3319,plain,
meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) = complement(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))]]) ).
cnf(refute_0_3320,plain,
( complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) != converse(sk1)
| meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) != complement(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))
| meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) = complement(converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),complement(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_3321,plain,
( meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) != complement(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))
| meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),converse(sk1)) )],[refute_0_3315,refute_0_3320]) ).
cnf(refute_0_3322,plain,
meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),complement(complement(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))) )],[refute_0_3319,refute_0_3321]) ).
cnf(refute_0_3323,plain,
( meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) != complement(converse(sk1))
| meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) != meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1)))))
| complement(converse(sk1)) = meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1)))))) ),[0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_3324,plain,
( meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) != meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1)))))
| complement(converse(sk1)) = meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),complement(converse(sk1))) )],[refute_0_3322,refute_0_3323]) ).
cnf(refute_0_3325,plain,
meet(converse(complement(sk1)),complement(converse(sk1))) = meet(complement(converse(sk1)),converse(complement(sk1))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(converse(sk1)))),bind(X_7,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_3326,plain,
meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))]]) ).
cnf(refute_0_3327,plain,
( meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) != complement(converse(sk1))
| meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) != meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))
| meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(converse(complement(sk1)),complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))) ),[1,1],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_3328,plain,
( meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) != complement(converse(sk1))
| meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(converse(complement(sk1)),complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))) )],[refute_0_3326,refute_0_3327]) ).
cnf(refute_0_3329,plain,
meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(converse(complement(sk1)),complement(converse(sk1))),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),complement(converse(sk1))) )],[refute_0_3322,refute_0_3328]) ).
cnf(refute_0_3330,plain,
converse(converse(sk1)) = sk1,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_3331,plain,
complement(converse(converse(sk1))) = complement(converse(converse(sk1))),
introduced(tautology,[refl,[$fot(complement(converse(converse(sk1))))]]) ).
cnf(refute_0_3332,plain,
( complement(converse(converse(sk1))) != complement(converse(converse(sk1)))
| converse(converse(sk1)) != sk1
| complement(converse(converse(sk1))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(sk1))),complement(converse(converse(sk1)))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_3333,plain,
( converse(converse(sk1)) != sk1
| complement(converse(converse(sk1))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(sk1))),complement(converse(converse(sk1)))) )],[refute_0_3331,refute_0_3332]) ).
cnf(refute_0_3334,plain,
complement(converse(converse(sk1))) = complement(sk1),
inference(resolve,[$cnf( $equal(converse(converse(sk1)),sk1) )],[refute_0_3330,refute_0_3333]) ).
cnf(refute_0_3335,plain,
converse(complement(converse(converse(sk1)))) = converse(complement(converse(converse(sk1)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(sk1)))))]]) ).
cnf(refute_0_3336,plain,
( complement(converse(converse(sk1))) != complement(sk1)
| converse(complement(converse(converse(sk1)))) != converse(complement(converse(converse(sk1))))
| converse(complement(converse(converse(sk1)))) = converse(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(sk1)))),converse(complement(converse(converse(sk1))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_3337,plain,
( complement(converse(converse(sk1))) != complement(sk1)
| converse(complement(converse(converse(sk1)))) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(sk1)))),converse(complement(converse(converse(sk1))))) )],[refute_0_3335,refute_0_3336]) ).
cnf(refute_0_3338,plain,
converse(complement(converse(converse(sk1)))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(complement(converse(converse(sk1))),complement(sk1)) )],[refute_0_3334,refute_0_3337]) ).
cnf(refute_0_3339,plain,
meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))]]) ).
cnf(refute_0_3340,plain,
( converse(complement(converse(converse(sk1)))) != converse(complement(sk1))
| meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) != meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))
| meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))) ),[1,0],$fot(converse(complement(sk1)))]]) ).
cnf(refute_0_3341,plain,
( converse(complement(converse(converse(sk1)))) != converse(complement(sk1))
| meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))) )],[refute_0_3339,refute_0_3340]) ).
cnf(refute_0_3342,plain,
meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(sk1)))),converse(complement(sk1))) )],[refute_0_3338,refute_0_3341]) ).
cnf(refute_0_3343,plain,
( meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) != meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))
| meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) != meet(converse(complement(sk1)),complement(converse(sk1)))
| meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(converse(complement(sk1)),complement(converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))),bind(Y,$fot(meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))),bind(Z,$fot(meet(converse(complement(sk1)),complement(converse(sk1)))))]]) ).
cnf(refute_0_3344,plain,
( meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) != meet(converse(complement(sk1)),complement(converse(sk1)))
| meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(converse(complement(sk1)),complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))) )],[refute_0_3342,refute_0_3343]) ).
cnf(refute_0_3345,plain,
meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(converse(complement(sk1)),complement(converse(sk1))),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),meet(converse(complement(sk1)),complement(converse(sk1)))) )],[refute_0_3329,refute_0_3344]) ).
cnf(refute_0_3346,plain,
( meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) != meet(converse(complement(sk1)),complement(converse(sk1)))
| meet(converse(complement(sk1)),complement(converse(sk1))) != meet(complement(converse(sk1)),converse(complement(sk1)))
| meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(complement(converse(sk1)),converse(complement(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))),bind(Y,$fot(meet(converse(complement(sk1)),complement(converse(sk1))))),bind(Z,$fot(meet(complement(converse(sk1)),converse(complement(sk1)))))]]) ).
cnf(refute_0_3347,plain,
( meet(converse(complement(sk1)),complement(converse(sk1))) != meet(complement(converse(sk1)),converse(complement(sk1)))
| meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(complement(converse(sk1)),converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),meet(converse(complement(sk1)),complement(converse(sk1)))) )],[refute_0_3345,refute_0_3346]) ).
cnf(refute_0_3348,plain,
meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) = meet(complement(converse(sk1)),converse(complement(sk1))),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),complement(converse(sk1))),meet(complement(converse(sk1)),converse(complement(sk1)))) )],[refute_0_3325,refute_0_3347]) ).
cnf(refute_0_3349,plain,
meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))) = meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(complement(converse(converse(sk1)))))),bind(X_7,$fot(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))]]) ).
cnf(refute_0_3350,plain,
( meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) != meet(complement(converse(sk1)),converse(complement(sk1)))
| meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))) != meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))
| meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))) = meet(complement(converse(sk1)),converse(complement(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))))),bind(Y,$fot(meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))))),bind(Z,$fot(meet(complement(converse(sk1)),converse(complement(sk1)))))]]) ).
cnf(refute_0_3351,plain,
( meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))) != meet(complement(converse(sk1)),converse(complement(sk1)))
| meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))) = meet(complement(converse(sk1)),converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))),meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))))) )],[refute_0_3349,refute_0_3350]) ).
cnf(refute_0_3352,plain,
meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))) = meet(complement(converse(sk1)),converse(complement(sk1))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(sk1)))),meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1)))))),meet(complement(converse(sk1)),converse(complement(sk1)))) )],[refute_0_3348,refute_0_3351]) ).
cnf(refute_0_3353,plain,
( complement(converse(sk1)) != meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1)))))
| meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))) != meet(complement(converse(sk1)),converse(complement(sk1)))
| complement(converse(sk1)) = meet(complement(converse(sk1)),converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(sk1)),meet(complement(converse(sk1)),converse(complement(sk1)))) ),[0],$fot(meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))))]]) ).
cnf(refute_0_3354,plain,
( complement(converse(sk1)) != meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1)))))
| complement(converse(sk1)) = meet(complement(converse(sk1)),converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1))))),meet(complement(converse(sk1)),converse(complement(sk1)))) )],[refute_0_3352,refute_0_3353]) ).
cnf(refute_0_3355,plain,
( meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))) != meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1)))))
| complement(converse(sk1)) = meet(complement(converse(sk1)),converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1)))))) )],[refute_0_3324,refute_0_3354]) ).
cnf(refute_0_3356,plain,
complement(converse(sk1)) = meet(complement(converse(sk1)),converse(complement(sk1))),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),meet(meet(converse(complement(sk1)),complement(meet(converse(sk1),converse(complement(sk1))))),converse(complement(converse(converse(sk1)))))) )],[refute_0_3318,refute_0_3355]) ).
cnf(refute_0_3357,plain,
( complement(converse(sk1)) != meet(complement(converse(sk1)),converse(complement(sk1)))
| meet(complement(converse(sk1)),converse(complement(sk1))) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(sk1)))),bind(Y,$fot(meet(complement(converse(sk1)),converse(complement(sk1)))))]]) ).
cnf(refute_0_3358,plain,
meet(complement(converse(sk1)),converse(complement(sk1))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),meet(complement(converse(sk1)),converse(complement(sk1)))) )],[refute_0_3356,refute_0_3357]) ).
cnf(refute_0_3359,plain,
( converse(complement(sk1)) != join(meet(complement(converse(sk1)),converse(complement(sk1))),complement(join(complement(converse(complement(sk1))),complement(converse(sk1)))))
| meet(complement(converse(sk1)),converse(complement(sk1))) != complement(converse(sk1))
| converse(complement(sk1)) = join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(sk1)),join(meet(complement(converse(sk1)),converse(complement(sk1))),complement(join(complement(converse(complement(sk1))),complement(converse(sk1)))))) ),[1,0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_3360,plain,
( converse(complement(sk1)) != join(meet(complement(converse(sk1)),converse(complement(sk1))),complement(join(complement(converse(complement(sk1))),complement(converse(sk1)))))
| converse(complement(sk1)) = join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(sk1))),complement(converse(sk1))) )],[refute_0_3358,refute_0_3359]) ).
cnf(refute_0_3361,plain,
converse(complement(sk1)) = join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),join(meet(complement(converse(sk1)),converse(complement(sk1))),complement(join(complement(converse(complement(sk1))),complement(converse(sk1)))))) )],[refute_0_3253,refute_0_3360]) ).
cnf(refute_0_3362,plain,
meet(converse(complement(sk1)),converse(sk1)) = meet(converse(sk1),converse(complement(sk1))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(sk1))),bind(X_7,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_3363,plain,
complement(meet(converse(complement(sk1)),converse(sk1))) = complement(meet(converse(complement(sk1)),converse(sk1))),
introduced(tautology,[refl,[$fot(complement(meet(converse(complement(sk1)),converse(sk1))))]]) ).
cnf(refute_0_3364,plain,
( complement(meet(converse(complement(sk1)),converse(sk1))) != complement(meet(converse(complement(sk1)),converse(sk1)))
| meet(converse(complement(sk1)),converse(sk1)) != meet(converse(sk1),converse(complement(sk1)))
| complement(meet(converse(complement(sk1)),converse(sk1))) = complement(meet(converse(sk1),converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(complement(sk1)),converse(sk1))),complement(meet(converse(complement(sk1)),converse(sk1)))) ),[1,0],$fot(meet(converse(sk1),converse(complement(sk1))))]]) ).
cnf(refute_0_3365,plain,
( meet(converse(complement(sk1)),converse(sk1)) != meet(converse(sk1),converse(complement(sk1)))
| complement(meet(converse(complement(sk1)),converse(sk1))) = complement(meet(converse(sk1),converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(sk1)),converse(sk1))),complement(meet(converse(complement(sk1)),converse(sk1)))) )],[refute_0_3363,refute_0_3364]) ).
cnf(refute_0_3366,plain,
complement(meet(converse(complement(sk1)),converse(sk1))) = complement(meet(converse(sk1),converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),converse(sk1)),meet(converse(sk1),converse(complement(sk1)))) )],[refute_0_3362,refute_0_3365]) ).
cnf(refute_0_3367,plain,
join(complement(converse(complement(sk1))),complement(converse(sk1))) = complement(meet(converse(complement(sk1)),converse(sk1))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(converse(complement(sk1)))),bind(B,$fot(converse(sk1)))]]) ).
cnf(refute_0_3368,plain,
( complement(meet(converse(complement(sk1)),converse(sk1))) != complement(meet(converse(sk1),converse(complement(sk1))))
| join(complement(converse(complement(sk1))),complement(converse(sk1))) != complement(meet(converse(complement(sk1)),converse(sk1)))
| join(complement(converse(complement(sk1))),complement(converse(sk1))) = complement(meet(converse(sk1),converse(complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(complement(sk1))),complement(converse(sk1))))),bind(Y,$fot(complement(meet(converse(complement(sk1)),converse(sk1))))),bind(Z,$fot(complement(meet(converse(sk1),converse(complement(sk1))))))]]) ).
cnf(refute_0_3369,plain,
( complement(meet(converse(complement(sk1)),converse(sk1))) != complement(meet(converse(sk1),converse(complement(sk1))))
| join(complement(converse(complement(sk1))),complement(converse(sk1))) = complement(meet(converse(sk1),converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(sk1))),complement(converse(sk1))),complement(meet(converse(complement(sk1)),converse(sk1)))) )],[refute_0_3367,refute_0_3368]) ).
cnf(refute_0_3370,plain,
join(complement(converse(complement(sk1))),complement(converse(sk1))) = complement(meet(converse(sk1),converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(sk1)),converse(sk1))),complement(meet(converse(sk1),converse(complement(sk1))))) )],[refute_0_3366,refute_0_3369]) ).
cnf(refute_0_3371,plain,
meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))) = meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))))]]) ).
cnf(refute_0_3372,plain,
( join(complement(converse(complement(sk1))),complement(converse(sk1))) != complement(meet(converse(sk1),converse(complement(sk1))))
| meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))) != meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))
| meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))) = meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))),meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))) ),[1,1],$fot(complement(meet(converse(sk1),converse(complement(sk1)))))]]) ).
cnf(refute_0_3373,plain,
( join(complement(converse(complement(sk1))),complement(converse(sk1))) != complement(meet(converse(sk1),converse(complement(sk1))))
| meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))) = meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))),meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))) )],[refute_0_3371,refute_0_3372]) ).
cnf(refute_0_3374,plain,
meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))) = meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(sk1))),complement(converse(sk1))),complement(meet(converse(sk1),converse(complement(sk1))))) )],[refute_0_3370,refute_0_3373]) ).
cnf(refute_0_3375,plain,
complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))) = complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))))]]) ).
cnf(refute_0_3376,plain,
( complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))) != complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))))
| meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))) != meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))
| complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))) = complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))),complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))))) ),[1,0],$fot(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))]]) ).
cnf(refute_0_3377,plain,
( meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))) != meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))
| complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))) = complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))),complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))))) )],[refute_0_3375,refute_0_3376]) ).
cnf(refute_0_3378,plain,
complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))) = complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))),meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))) )],[refute_0_3374,refute_0_3377]) ).
cnf(refute_0_3379,plain,
join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))) = complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(converse(sk1))),bind(B,$fot(join(complement(converse(complement(sk1))),complement(converse(sk1)))))]]) ).
cnf(refute_0_3380,plain,
( complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))) != complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))
| join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))) != complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))))
| join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))) = complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))))),bind(Y,$fot(complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))))),bind(Z,$fot(complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))))]]) ).
cnf(refute_0_3381,plain,
( complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))) != complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))
| join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))) = complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))),complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1)))))) )],[refute_0_3379,refute_0_3380]) ).
cnf(refute_0_3382,plain,
join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))) = complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(sk1),join(complement(converse(complement(sk1))),complement(converse(sk1))))),complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))) )],[refute_0_3378,refute_0_3381]) ).
cnf(refute_0_3383,plain,
( converse(complement(sk1)) != join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1)))))
| join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))) != complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))
| converse(complement(sk1)) = complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(sk1)),complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))) ),[0],$fot(join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))))]]) ).
cnf(refute_0_3384,plain,
( converse(complement(sk1)) != join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1)))))
| converse(complement(sk1)) = complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1))))),complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))) )],[refute_0_3382,refute_0_3383]) ).
cnf(refute_0_3385,plain,
converse(complement(sk1)) = complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),join(complement(converse(sk1)),complement(join(complement(converse(complement(sk1))),complement(converse(sk1)))))) )],[refute_0_3361,refute_0_3384]) ).
cnf(refute_0_3386,plain,
( converse(complement(sk1)) != complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))
| complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))) = converse(complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(sk1)))),bind(Y,$fot(complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))))]]) ).
cnf(refute_0_3387,plain,
complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))) )],[refute_0_3385,refute_0_3386]) ).
cnf(refute_0_3388,plain,
( complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))) != converse(complement(sk1))
| meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) != complement(complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))))
| meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) = complement(converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))),complement(complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))))) ),[1,0],$fot(converse(complement(sk1)))]]) ).
cnf(refute_0_3389,plain,
( meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) != complement(complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))))
| meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) = complement(converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))),converse(complement(sk1))) )],[refute_0_3387,refute_0_3388]) ).
cnf(refute_0_3390,plain,
meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) = complement(converse(complement(sk1))),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))),complement(complement(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1)))))))) )],[refute_0_3252,refute_0_3389]) ).
cnf(refute_0_3391,plain,
( meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) != complement(converse(complement(sk1)))
| meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) != meet(complement(meet(converse(sk1),converse(complement(sk1)))),meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))
| meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) = meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))),meet(complement(meet(converse(sk1),converse(complement(sk1)))),meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))) ),[1,1],$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_3392,plain,
( meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) != meet(complement(meet(converse(sk1),converse(complement(sk1)))),meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))
| meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) = meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) )],[refute_0_3390,refute_0_3391]) ).
cnf(refute_0_3393,plain,
meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) = meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))),meet(complement(meet(converse(sk1),converse(complement(sk1)))),meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))))) )],[refute_0_3251,refute_0_3392]) ).
cnf(refute_0_3394,plain,
( meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) != complement(converse(complement(sk1)))
| meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) != meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1))))
| complement(converse(complement(sk1))) = meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))),meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1))))) ),[0],$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_3395,plain,
( meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) != meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1))))
| complement(converse(complement(sk1))) = meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) )],[refute_0_3390,refute_0_3394]) ).
cnf(refute_0_3396,plain,
meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1)))) = meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(converse(complement(sk1))))),bind(X_7,$fot(complement(meet(converse(sk1),converse(complement(sk1))))))]]) ).
cnf(refute_0_3397,plain,
( complement(converse(complement(sk1))) != meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1))))
| meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1)))) != meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1)))))
| complement(converse(complement(sk1))) = meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(sk1))),meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1)))))) ),[0],$fot(meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_3398,plain,
( complement(converse(complement(sk1))) != meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1))))
| complement(converse(complement(sk1))) = meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1)))),meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1)))))) )],[refute_0_3396,refute_0_3397]) ).
cnf(refute_0_3399,plain,
( meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))) != meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1))))
| complement(converse(complement(sk1))) = meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(sk1))),meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1))))) )],[refute_0_3395,refute_0_3398]) ).
cnf(refute_0_3400,plain,
complement(converse(complement(sk1))) = meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(meet(converse(sk1),converse(complement(sk1))))),meet(complement(meet(converse(sk1),converse(complement(sk1)))),complement(converse(complement(sk1))))) )],[refute_0_3393,refute_0_3399]) ).
cnf(refute_0_3401,plain,
meet(complement(X_97),complement(meet(X_280,X_281))) = complement(join(complement(complement(X_97)),meet(X_280,X_281))),
inference(subst,[],[refute_0_1527:[bind(A,$fot(complement(X_97))),bind(X_6,$fot(X_280)),bind(X_7,$fot(X_281))]]) ).
cnf(refute_0_3402,plain,
( complement(complement(X_97)) != X_97
| meet(complement(X_97),complement(meet(X_280,X_281))) != complement(join(complement(complement(X_97)),meet(X_280,X_281)))
| meet(complement(X_97),complement(meet(X_280,X_281))) = complement(join(X_97,meet(X_280,X_281))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_97),complement(meet(X_280,X_281))),complement(join(complement(complement(X_97)),meet(X_280,X_281)))) ),[1,0,0],$fot(X_97)]]) ).
cnf(refute_0_3403,plain,
( meet(complement(X_97),complement(meet(X_280,X_281))) != complement(join(complement(complement(X_97)),meet(X_280,X_281)))
| meet(complement(X_97),complement(meet(X_280,X_281))) = complement(join(X_97,meet(X_280,X_281))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_3402]) ).
cnf(refute_0_3404,plain,
meet(complement(X_97),complement(meet(X_280,X_281))) = complement(join(X_97,meet(X_280,X_281))),
inference(resolve,[$cnf( $equal(meet(complement(X_97),complement(meet(X_280,X_281))),complement(join(complement(complement(X_97)),meet(X_280,X_281)))) )],[refute_0_3401,refute_0_3403]) ).
cnf(refute_0_3405,plain,
meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1))))) = complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),
inference(subst,[],[refute_0_3404:[bind(X_280,$fot(converse(sk1))),bind(X_281,$fot(converse(complement(sk1)))),bind(X_97,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_3406,plain,
( complement(converse(complement(sk1))) != meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1)))))
| meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1))))) != complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1)))))
| complement(converse(complement(sk1))) = complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(sk1))),complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1)))))) ),[0],$fot(meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1))))))]]) ).
cnf(refute_0_3407,plain,
( complement(converse(complement(sk1))) != meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1)))))
| complement(converse(complement(sk1))) = complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1))))),complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1)))))) )],[refute_0_3405,refute_0_3406]) ).
cnf(refute_0_3408,plain,
complement(converse(complement(sk1))) = complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(sk1))),meet(complement(converse(complement(sk1))),complement(meet(converse(sk1),converse(complement(sk1)))))) )],[refute_0_3400,refute_0_3407]) ).
cnf(refute_0_3409,plain,
( complement(converse(complement(sk1))) != complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1)))))
| complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))) = complement(converse(complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(complement(sk1))))),bind(Y,$fot(complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1)))))))]]) ).
cnf(refute_0_3410,plain,
complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))) = complement(converse(complement(sk1))),
inference(resolve,[$cnf( $equal(complement(converse(complement(sk1))),complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1)))))) )],[refute_0_3408,refute_0_3409]) ).
cnf(refute_0_3411,plain,
( complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))) != complement(converse(complement(sk1)))
| join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))))) != complement(one)
| join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))))),complement(one)) ),[0,1,1],$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_3412,plain,
( join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))))) != complement(one)
| join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) )],[refute_0_3410,refute_0_3411]) ).
cnf(refute_0_3413,plain,
join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))))),complement(one)) )],[refute_0_3239,refute_0_3412]) ).
cnf(refute_0_3414,plain,
converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))) = join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),
inference(subst,[],[refute_0_705:[bind(A,$fot(complement(sk1))),bind(X_12,$fot(meet(converse(sk1),converse(complement(sk1)))))]]) ).
cnf(refute_0_3415,plain,
composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) = composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))),
introduced(tautology,[refl,[$fot(composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_3416,plain,
( composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) != composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))
| converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))) != join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1)))))
| composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) = composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) ),[1,0],$fot(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))))]]) ).
cnf(refute_0_3417,plain,
( converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))) != join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1)))))
| composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) = composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) )],[refute_0_3415,refute_0_3416]) ).
cnf(refute_0_3418,plain,
composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) = composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1)))))) )],[refute_0_3414,refute_0_3417]) ).
cnf(refute_0_3419,plain,
join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3420,plain,
( composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) != composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))
| join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) != join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))))
| join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))),join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))))) ),[1,1],$fot(composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_3421,plain,
( composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) != composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))
| join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))),join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))))) )],[refute_0_3419,refute_0_3420]) ).
cnf(refute_0_3422,plain,
join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) )],[refute_0_3418,refute_0_3421]) ).
cnf(refute_0_3423,plain,
( join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) != complement(one)
| join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) != join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))))
| join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))),complement(one)) ),[0],$fot(join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_3424,plain,
( join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) != complement(one)
| join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))),join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))))) )],[refute_0_3422,refute_0_3423]) ).
cnf(refute_0_3425,plain,
join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(converse(complement(sk1)),meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))),complement(one)) )],[refute_0_3413,refute_0_3424]) ).
cnf(refute_0_3426,plain,
complement(complement(converse(sk1))) = converse(sk1),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(converse(sk1)))]]) ).
cnf(refute_0_3427,plain,
complement(converse(sk1)) = join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(converse(meet(one,complement(sk1))))),bind(X_117,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_3428,plain,
complement(complement(converse(meet(one,complement(sk1))))) = meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))),bind(X_97,$fot(complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3429,plain,
converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) = converse(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11))))))),
inference(subst,[],[refute_0_853:[bind(X_12,$fot(join(X_145,converse(complement(converse(join(X_145,X_11)))))))]]) ).
cnf(refute_0_3430,plain,
converse(top) = join(join(X_26,X_25),converse(complement(converse(join(X_26,X_25))))),
inference(subst,[],[refute_0_712:[bind(X_15,$fot(join(X_26,X_25)))]]) ).
cnf(refute_0_3431,plain,
( converse(join(X_26,X_25)) != converse(join(X_25,X_26))
| converse(top) != join(join(X_26,X_25),converse(complement(converse(join(X_26,X_25)))))
| converse(top) = join(join(X_26,X_25),converse(complement(converse(join(X_25,X_26))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_26,X_25),converse(complement(converse(join(X_26,X_25)))))) ),[1,1,0,0],$fot(converse(join(X_25,X_26)))]]) ).
cnf(refute_0_3432,plain,
( converse(top) != join(join(X_26,X_25),converse(complement(converse(join(X_26,X_25)))))
| converse(top) = join(join(X_26,X_25),converse(complement(converse(join(X_25,X_26))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_26,X_25)),converse(join(X_25,X_26))) )],[refute_0_2726,refute_0_3431]) ).
cnf(refute_0_3433,plain,
converse(top) = join(join(X_26,X_25),converse(complement(converse(join(X_25,X_26))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_26,X_25),converse(complement(converse(join(X_26,X_25)))))) )],[refute_0_3430,refute_0_3432]) ).
cnf(refute_0_3434,plain,
join(join(X_26,X_25),converse(complement(converse(join(X_25,X_26))))) = join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26)))))),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_26)),bind(B,$fot(X_25)),bind(C,$fot(converse(complement(converse(join(X_25,X_26))))))]]) ).
cnf(refute_0_3435,plain,
( converse(top) != join(join(X_26,X_25),converse(complement(converse(join(X_25,X_26)))))
| join(join(X_26,X_25),converse(complement(converse(join(X_25,X_26))))) != join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26))))))
| converse(top) = join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26))))))) ),[0],$fot(join(join(X_26,X_25),converse(complement(converse(join(X_25,X_26))))))]]) ).
cnf(refute_0_3436,plain,
( converse(top) != join(join(X_26,X_25),converse(complement(converse(join(X_25,X_26)))))
| converse(top) = join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_26,X_25),converse(complement(converse(join(X_25,X_26))))),join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26))))))) )],[refute_0_3434,refute_0_3435]) ).
cnf(refute_0_3437,plain,
converse(top) = join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_26,X_25),converse(complement(converse(join(X_25,X_26)))))) )],[refute_0_3433,refute_0_3436]) ).
cnf(refute_0_3438,plain,
( converse(top) != join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26))))))
| converse(top) != top
| top = join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3439,plain,
( converse(top) != join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26))))))
| top = join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_3438]) ).
cnf(refute_0_3440,plain,
top = join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_26,join(X_25,converse(complement(converse(join(X_25,X_26))))))) )],[refute_0_3437,refute_0_3439]) ).
cnf(refute_0_3441,plain,
top = join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11)))))),
inference(subst,[],[refute_0_3440:[bind(X_25,$fot(X_145)),bind(X_26,$fot(X_11))]]) ).
cnf(refute_0_3442,plain,
( top != join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11))))))
| join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11))))))))]]) ).
cnf(refute_0_3443,plain,
join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11)))))) = top,
inference(resolve,[$cnf( $equal(top,join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11))))))) )],[refute_0_3441,refute_0_3442]) ).
cnf(refute_0_3444,plain,
( converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) != converse(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11)))))))
| join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11)))))) != top
| converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)),converse(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3445,plain,
( converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) != converse(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11)))))))
| converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11)))))),top) )],[refute_0_3443,refute_0_3444]) ).
cnf(refute_0_3446,plain,
converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)),converse(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11)))))))) )],[refute_0_3429,refute_0_3445]) ).
cnf(refute_0_3447,plain,
converse(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11))))))) = join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))),
inference(subst,[],[refute_0_1357:[bind(A,$fot(complement(converse(join(X_145,X_11))))),bind(X_31,$fot(X_11)),bind(X_32,$fot(X_145))]]) ).
cnf(refute_0_3448,plain,
( converse(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11))))))) != join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11))))
| converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) != converse(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11)))))))
| converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) = join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)))),bind(Y,$fot(converse(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11))))))))),bind(Z,$fot(join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11))))))]]) ).
cnf(refute_0_3449,plain,
( converse(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11))))))) != join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11))))
| converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) = join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)),converse(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11)))))))) )],[refute_0_3429,refute_0_3448]) ).
cnf(refute_0_3450,plain,
converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) = join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))),
inference(resolve,[$cnf( $equal(converse(join(X_11,join(X_145,converse(complement(converse(join(X_145,X_11))))))),join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11))))) )],[refute_0_3447,refute_0_3449]) ).
cnf(refute_0_3451,plain,
( converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) != converse(top)
| converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) != join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11))))
| join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)),converse(top)) ),[0],$fot(join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))))]]) ).
cnf(refute_0_3452,plain,
( converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) != converse(top)
| join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)),join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11))))) )],[refute_0_3450,refute_0_3451]) ).
cnf(refute_0_3453,plain,
( converse(top) != top
| join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))) != converse(top)
| join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_3454,plain,
( join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))) != converse(top)
| join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_3453]) ).
cnf(refute_0_3455,plain,
( converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)) != converse(top)
| join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))),converse(top)) )],[refute_0_3452,refute_0_3454]) ).
cnf(refute_0_3456,plain,
join(converse(join(X_11,X_145)),complement(converse(join(X_145,X_11)))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(X_145,converse(complement(converse(join(X_145,X_11))))),X_11)),converse(top)) )],[refute_0_3446,refute_0_3455]) ).
cnf(refute_0_3457,plain,
join(converse(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = top,
inference(subst,[],[refute_0_3456:[bind(X_11,$fot(sk1)),bind(X_145,$fot(converse(complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3458,plain,
join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) = complement(complement(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3459,plain,
X_97 = join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(join(complement(X_97),join(complement(X_22),meet(X_22,X_97))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(X_97)),bind(B,$fot(join(complement(X_22),meet(X_22,X_97))))]]) ).
cnf(refute_0_3460,plain,
join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) = join(complement(X_22),join(complement(X_23),meet(X_22,X_23))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(complement(X_23),meet(X_22,X_23)))),bind(B,$fot(complement(X_22)))]]) ).
cnf(refute_0_3461,plain,
top = join(complement(X_22),join(complement(X_23),meet(X_22,X_23))),
inference(subst,[],[refute_0_173:[bind(X_6,$fot(X_22)),bind(X_7,$fot(X_23))]]) ).
cnf(refute_0_3462,plain,
( top != join(complement(X_22),join(complement(X_23),meet(X_22,X_23)))
| join(complement(X_22),join(complement(X_23),meet(X_22,X_23))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_22),join(complement(X_23),meet(X_22,X_23)))))]]) ).
cnf(refute_0_3463,plain,
join(complement(X_22),join(complement(X_23),meet(X_22,X_23))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_22),join(complement(X_23),meet(X_22,X_23)))) )],[refute_0_3461,refute_0_3462]) ).
cnf(refute_0_3464,plain,
( join(complement(X_22),join(complement(X_23),meet(X_22,X_23))) != top
| join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) != join(complement(X_22),join(complement(X_23),meet(X_22,X_23)))
| join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)),join(complement(X_22),join(complement(X_23),meet(X_22,X_23)))) ),[1],$fot(top)]]) ).
cnf(refute_0_3465,plain,
( join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) != join(complement(X_22),join(complement(X_23),meet(X_22,X_23)))
| join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_22),join(complement(X_23),meet(X_22,X_23))),top) )],[refute_0_3463,refute_0_3464]) ).
cnf(refute_0_3466,plain,
join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)),join(complement(X_22),join(complement(X_23),meet(X_22,X_23)))) )],[refute_0_3460,refute_0_3465]) ).
cnf(refute_0_3467,plain,
join(meet(X_22,X_23),complement(X_22)) = join(complement(X_22),meet(X_22,X_23)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(X_22))),bind(B,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_3468,plain,
join(complement(X_23),join(meet(X_22,X_23),complement(X_22))) = join(complement(X_23),join(meet(X_22,X_23),complement(X_22))),
introduced(tautology,[refl,[$fot(join(complement(X_23),join(meet(X_22,X_23),complement(X_22))))]]) ).
cnf(refute_0_3469,plain,
( join(complement(X_23),join(meet(X_22,X_23),complement(X_22))) != join(complement(X_23),join(meet(X_22,X_23),complement(X_22)))
| join(meet(X_22,X_23),complement(X_22)) != join(complement(X_22),meet(X_22,X_23))
| join(complement(X_23),join(meet(X_22,X_23),complement(X_22))) = join(complement(X_23),join(complement(X_22),meet(X_22,X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_23),join(meet(X_22,X_23),complement(X_22))),join(complement(X_23),join(meet(X_22,X_23),complement(X_22)))) ),[1,1],$fot(join(complement(X_22),meet(X_22,X_23)))]]) ).
cnf(refute_0_3470,plain,
( join(meet(X_22,X_23),complement(X_22)) != join(complement(X_22),meet(X_22,X_23))
| join(complement(X_23),join(meet(X_22,X_23),complement(X_22))) = join(complement(X_23),join(complement(X_22),meet(X_22,X_23))) ),
inference(resolve,[$cnf( $equal(join(complement(X_23),join(meet(X_22,X_23),complement(X_22))),join(complement(X_23),join(meet(X_22,X_23),complement(X_22)))) )],[refute_0_3468,refute_0_3469]) ).
cnf(refute_0_3471,plain,
join(complement(X_23),join(meet(X_22,X_23),complement(X_22))) = join(complement(X_23),join(complement(X_22),meet(X_22,X_23))),
inference(resolve,[$cnf( $equal(join(meet(X_22,X_23),complement(X_22)),join(complement(X_22),meet(X_22,X_23))) )],[refute_0_3467,refute_0_3470]) ).
cnf(refute_0_3472,plain,
join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) = join(complement(X_23),join(meet(X_22,X_23),complement(X_22))),
inference(subst,[],[refute_0_169:[bind(A,$fot(complement(X_23))),bind(B,$fot(meet(X_22,X_23))),bind(C,$fot(complement(X_22)))]]) ).
cnf(refute_0_3473,plain,
( join(complement(X_23),join(meet(X_22,X_23),complement(X_22))) != join(complement(X_23),join(complement(X_22),meet(X_22,X_23)))
| join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) != join(complement(X_23),join(meet(X_22,X_23),complement(X_22)))
| join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) = join(complement(X_23),join(complement(X_22),meet(X_22,X_23))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)))),bind(Y,$fot(join(complement(X_23),join(meet(X_22,X_23),complement(X_22))))),bind(Z,$fot(join(complement(X_23),join(complement(X_22),meet(X_22,X_23)))))]]) ).
cnf(refute_0_3474,plain,
( join(complement(X_23),join(meet(X_22,X_23),complement(X_22))) != join(complement(X_23),join(complement(X_22),meet(X_22,X_23)))
| join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) = join(complement(X_23),join(complement(X_22),meet(X_22,X_23))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)),join(complement(X_23),join(meet(X_22,X_23),complement(X_22)))) )],[refute_0_3472,refute_0_3473]) ).
cnf(refute_0_3475,plain,
join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) = join(complement(X_23),join(complement(X_22),meet(X_22,X_23))),
inference(resolve,[$cnf( $equal(join(complement(X_23),join(meet(X_22,X_23),complement(X_22))),join(complement(X_23),join(complement(X_22),meet(X_22,X_23)))) )],[refute_0_3471,refute_0_3474]) ).
cnf(refute_0_3476,plain,
( join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) != join(complement(X_23),join(complement(X_22),meet(X_22,X_23)))
| join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) != top
| join(complement(X_23),join(complement(X_22),meet(X_22,X_23))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)),top) ),[0],$fot(join(complement(X_23),join(complement(X_22),meet(X_22,X_23))))]]) ).
cnf(refute_0_3477,plain,
( join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)) != top
| join(complement(X_23),join(complement(X_22),meet(X_22,X_23))) = top ),
inference(resolve,[$cnf( $equal(join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)),join(complement(X_23),join(complement(X_22),meet(X_22,X_23)))) )],[refute_0_3475,refute_0_3476]) ).
cnf(refute_0_3478,plain,
join(complement(X_23),join(complement(X_22),meet(X_22,X_23))) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_23),meet(X_22,X_23)),complement(X_22)),top) )],[refute_0_3466,refute_0_3477]) ).
cnf(refute_0_3479,plain,
join(complement(X_97),join(complement(X_22),meet(X_22,X_97))) = top,
inference(subst,[],[refute_0_3478:[bind(X_23,$fot(X_97))]]) ).
cnf(refute_0_3480,plain,
( X_97 != join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(join(complement(X_97),join(complement(X_22),meet(X_22,X_97)))))
| join(complement(X_97),join(complement(X_22),meet(X_22,X_97))) != top
| X_97 = join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(join(complement(X_97),join(complement(X_22),meet(X_22,X_97)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_3481,plain,
( X_97 != join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(join(complement(X_97),join(complement(X_22),meet(X_22,X_97)))))
| X_97 = join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_97),join(complement(X_22),meet(X_22,X_97))),top) )],[refute_0_3479,refute_0_3480]) ).
cnf(refute_0_3482,plain,
X_97 = join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top)),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(join(complement(X_97),join(complement(X_22),meet(X_22,X_97)))))) )],[refute_0_3459,refute_0_3481]) ).
cnf(refute_0_3483,plain,
join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))) = join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))))]]) ).
cnf(refute_0_3484,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))) != join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97))))
| join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))) = join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))),join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3485,plain,
( complement(top) != zero
| join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))) = join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))),join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97))))) )],[refute_0_3483,refute_0_3484]) ).
cnf(refute_0_3486,plain,
join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))) = join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_3485]) ).
cnf(refute_0_3487,plain,
join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top)) = join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_97,join(complement(X_22),meet(X_22,X_97)))))]]) ).
cnf(refute_0_3488,plain,
( join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))) != join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97))))
| join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top)) != join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97))))
| join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top)) = join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))))),bind(Z,$fot(join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97))))))]]) ).
cnf(refute_0_3489,plain,
( join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))) != join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97))))
| join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top)) = join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top)),join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97))))) )],[refute_0_3487,refute_0_3488]) ).
cnf(refute_0_3490,plain,
join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top)) = join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_97,join(complement(X_22),meet(X_22,X_97)))),join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97))))) )],[refute_0_3486,refute_0_3489]) ).
cnf(refute_0_3491,plain,
( X_97 != join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top))
| join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top)) != join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97))))
| X_97 = join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97))))) ),[0],$fot(join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top)))]]) ).
cnf(refute_0_3492,plain,
( X_97 != join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top))
| X_97 = join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top)),join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97))))) )],[refute_0_3490,refute_0_3491]) ).
cnf(refute_0_3493,plain,
X_97 = join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97)))),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,join(complement(X_22),meet(X_22,X_97))),complement(top))) )],[refute_0_3482,refute_0_3492]) ).
cnf(refute_0_3494,plain,
join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97)))) = meet(X_97,join(complement(X_22),meet(X_22,X_97))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(meet(X_97,join(complement(X_22),meet(X_22,X_97)))))]]) ).
cnf(refute_0_3495,plain,
( X_97 != join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97))))
| join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97)))) != meet(X_97,join(complement(X_22),meet(X_22,X_97)))
| X_97 = meet(X_97,join(complement(X_22),meet(X_22,X_97))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,meet(X_97,join(complement(X_22),meet(X_22,X_97)))) ),[0],$fot(join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97)))))]]) ).
cnf(refute_0_3496,plain,
( X_97 != join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97))))
| X_97 = meet(X_97,join(complement(X_22),meet(X_22,X_97))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97)))),meet(X_97,join(complement(X_22),meet(X_22,X_97)))) )],[refute_0_3494,refute_0_3495]) ).
cnf(refute_0_3497,plain,
X_97 = meet(X_97,join(complement(X_22),meet(X_22,X_97))),
inference(resolve,[$cnf( $equal(X_97,join(zero,meet(X_97,join(complement(X_22),meet(X_22,X_97))))) )],[refute_0_3493,refute_0_3496]) ).
cnf(refute_0_3498,plain,
complement(converse(complement(converse(meet(one,complement(sk1)))))) = meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))))),
inference(subst,[],[refute_0_3497:[bind(X_22,$fot(sk1)),bind(X_97,$fot(complement(converse(complement(converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3499,plain,
meet(X_279,complement(meet(top,X_281))) = complement(join(complement(X_279),meet(top,X_281))),
inference(subst,[],[refute_0_1527:[bind(A,$fot(X_279)),bind(X_6,$fot(top)),bind(X_7,$fot(X_281))]]) ).
cnf(refute_0_3500,plain,
meet(top,X_281) = X_281,
inference(subst,[],[refute_0_3072:[bind(X_105,$fot(X_281))]]) ).
cnf(refute_0_3501,plain,
( meet(X_279,complement(meet(top,X_281))) != complement(join(complement(X_279),meet(top,X_281)))
| meet(top,X_281) != X_281
| meet(X_279,complement(meet(top,X_281))) = complement(join(complement(X_279),X_281)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(top,X_281))),complement(join(complement(X_279),meet(top,X_281)))) ),[1,0,1],$fot(X_281)]]) ).
cnf(refute_0_3502,plain,
( meet(X_279,complement(meet(top,X_281))) != complement(join(complement(X_279),meet(top,X_281)))
| meet(X_279,complement(meet(top,X_281))) = complement(join(complement(X_279),X_281)) ),
inference(resolve,[$cnf( $equal(meet(top,X_281),X_281) )],[refute_0_3500,refute_0_3501]) ).
cnf(refute_0_3503,plain,
meet(X_279,complement(meet(top,X_281))) = complement(join(complement(X_279),X_281)),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(top,X_281))),complement(join(complement(X_279),meet(top,X_281)))) )],[refute_0_3499,refute_0_3502]) ).
cnf(refute_0_3504,plain,
complement(meet(top,X_281)) = complement(meet(top,X_281)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_281)))]]) ).
cnf(refute_0_3505,plain,
( complement(meet(top,X_281)) != complement(meet(top,X_281))
| meet(top,X_281) != X_281
| complement(meet(top,X_281)) = complement(X_281) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_281)),complement(meet(top,X_281))) ),[1,0],$fot(X_281)]]) ).
cnf(refute_0_3506,plain,
( meet(top,X_281) != X_281
| complement(meet(top,X_281)) = complement(X_281) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_281)),complement(meet(top,X_281))) )],[refute_0_3504,refute_0_3505]) ).
cnf(refute_0_3507,plain,
complement(meet(top,X_281)) = complement(X_281),
inference(resolve,[$cnf( $equal(meet(top,X_281),X_281) )],[refute_0_3500,refute_0_3506]) ).
cnf(refute_0_3508,plain,
meet(X_279,complement(meet(top,X_281))) = meet(X_279,complement(meet(top,X_281))),
introduced(tautology,[refl,[$fot(meet(X_279,complement(meet(top,X_281))))]]) ).
cnf(refute_0_3509,plain,
( complement(meet(top,X_281)) != complement(X_281)
| meet(X_279,complement(meet(top,X_281))) != meet(X_279,complement(meet(top,X_281)))
| meet(X_279,complement(meet(top,X_281))) = meet(X_279,complement(X_281)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(top,X_281))),meet(X_279,complement(meet(top,X_281)))) ),[1,1],$fot(complement(X_281))]]) ).
cnf(refute_0_3510,plain,
( complement(meet(top,X_281)) != complement(X_281)
| meet(X_279,complement(meet(top,X_281))) = meet(X_279,complement(X_281)) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(top,X_281))),meet(X_279,complement(meet(top,X_281)))) )],[refute_0_3508,refute_0_3509]) ).
cnf(refute_0_3511,plain,
meet(X_279,complement(meet(top,X_281))) = meet(X_279,complement(X_281)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_281)),complement(X_281)) )],[refute_0_3507,refute_0_3510]) ).
cnf(refute_0_3512,plain,
( meet(X_279,complement(meet(top,X_281))) != complement(join(complement(X_279),X_281))
| meet(X_279,complement(meet(top,X_281))) != meet(X_279,complement(X_281))
| meet(X_279,complement(X_281)) = complement(join(complement(X_279),X_281)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(top,X_281))),complement(join(complement(X_279),X_281))) ),[0],$fot(meet(X_279,complement(X_281)))]]) ).
cnf(refute_0_3513,plain,
( meet(X_279,complement(meet(top,X_281))) != complement(join(complement(X_279),X_281))
| meet(X_279,complement(X_281)) = complement(join(complement(X_279),X_281)) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(top,X_281))),meet(X_279,complement(X_281))) )],[refute_0_3511,refute_0_3512]) ).
cnf(refute_0_3514,plain,
meet(X_279,complement(X_281)) = complement(join(complement(X_279),X_281)),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(top,X_281))),complement(join(complement(X_279),X_281))) )],[refute_0_3503,refute_0_3513]) ).
cnf(refute_0_3515,plain,
meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))) = complement(join(complement(sk1),converse(complement(converse(meet(one,complement(sk1))))))),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(sk1)),bind(X_281,$fot(converse(complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3516,plain,
converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) = converse(join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1)))))),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(converse(complement(sk1)))),bind(X_12,$fot(complement(meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_3517,plain,
( converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) != converse(join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))
| join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))) != top
| converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))),converse(join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3518,plain,
( converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) != converse(join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))
| converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))),top) )],[refute_0_2807,refute_0_3517]) ).
cnf(refute_0_3519,plain,
converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))),converse(join(converse(complement(sk1)),complement(meet(one,converse(complement(sk1))))))) )],[refute_0_3516,refute_0_3518]) ).
cnf(refute_0_3520,plain,
join(A,join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))) = join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(complement(sk1))),bind(X_32,$fot(meet(sk1,complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_3521,plain,
complement(meet(one,join(sk1,complement(one)))) = join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),meet(complement(sk1),complement(meet(one,join(sk1,complement(one)))))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(sk1)),bind(X_117,$fot(complement(meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_3522,plain,
complement(sk1) = meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(join(sk1,complement(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(complement(join(sk1,complement(one))))),bind(X_97,$fot(sk1))]]) ).
cnf(refute_0_3523,plain,
( complement(sk1) != meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(join(sk1,complement(join(sk1,complement(one)))))))
| join(sk1,complement(join(sk1,complement(one)))) != one
| complement(sk1) = meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk1),meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(join(sk1,complement(join(sk1,complement(one)))))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_0_3524,plain,
( complement(sk1) != meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(join(sk1,complement(join(sk1,complement(one)))))))
| complement(sk1) = meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(sk1,complement(one)))),one) )],[refute_0_1020,refute_0_3523]) ).
cnf(refute_0_3525,plain,
complement(sk1) = meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))),
inference(resolve,[$cnf( $equal(complement(sk1),meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(join(sk1,complement(join(sk1,complement(one)))))))) )],[refute_0_3522,refute_0_3524]) ).
cnf(refute_0_3526,plain,
join(complement(join(sk1,complement(one))),complement(one)) = join(complement(one),complement(join(sk1,complement(one)))),
inference(subst,[],[refute_0_2226:[bind(A,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_3527,plain,
( join(complement(join(sk1,complement(one))),complement(one)) != join(complement(one),complement(join(sk1,complement(one))))
| join(complement(one),complement(join(sk1,complement(one)))) != complement(meet(one,join(sk1,complement(one))))
| join(complement(join(sk1,complement(one))),complement(one)) = complement(meet(one,join(sk1,complement(one)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(sk1,complement(one))),complement(one)))),bind(Y,$fot(join(complement(one),complement(join(sk1,complement(one)))))),bind(Z,$fot(complement(meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_3528,plain,
( join(complement(one),complement(join(sk1,complement(one)))) != complement(meet(one,join(sk1,complement(one))))
| join(complement(join(sk1,complement(one))),complement(one)) = complement(meet(one,join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),complement(one)),join(complement(one),complement(join(sk1,complement(one))))) )],[refute_0_3526,refute_0_3527]) ).
cnf(refute_0_3529,plain,
join(complement(join(sk1,complement(one))),complement(one)) = complement(meet(one,join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(sk1,complement(one)))),complement(meet(one,join(sk1,complement(one))))) )],[refute_0_1652,refute_0_3528]) ).
cnf(refute_0_3530,plain,
meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))) = meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))))]]) ).
cnf(refute_0_3531,plain,
( join(complement(join(sk1,complement(one))),complement(one)) != complement(meet(one,join(sk1,complement(one))))
| meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))) != meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one)))
| meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))) = meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))),meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one)))) ),[1,1],$fot(complement(meet(one,join(sk1,complement(one)))))]]) ).
cnf(refute_0_3532,plain,
( join(complement(join(sk1,complement(one))),complement(one)) != complement(meet(one,join(sk1,complement(one))))
| meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))) = meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))),meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one)))) )],[refute_0_3530,refute_0_3531]) ).
cnf(refute_0_3533,plain,
meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))) = meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),complement(one)),complement(meet(one,join(sk1,complement(one))))) )],[refute_0_3529,refute_0_3532]) ).
cnf(refute_0_3534,plain,
( complement(sk1) != meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one)))
| meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))) != meet(complement(sk1),complement(meet(one,join(sk1,complement(one)))))
| complement(sk1) = meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk1),meet(complement(sk1),complement(meet(one,join(sk1,complement(one)))))) ),[0],$fot(meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))))]]) ).
cnf(refute_0_3535,plain,
( complement(sk1) != meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one)))
| complement(sk1) = meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one))),meet(complement(sk1),complement(meet(one,join(sk1,complement(one)))))) )],[refute_0_3533,refute_0_3534]) ).
cnf(refute_0_3536,plain,
complement(sk1) = meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(sk1),meet(complement(sk1),join(complement(join(sk1,complement(one))),complement(one)))) )],[refute_0_3525,refute_0_3535]) ).
cnf(refute_0_3537,plain,
( complement(sk1) != meet(complement(sk1),complement(meet(one,join(sk1,complement(one)))))
| meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(meet(complement(sk1),complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_3538,plain,
meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),meet(complement(sk1),complement(meet(one,join(sk1,complement(one)))))) )],[refute_0_3536,refute_0_3537]) ).
cnf(refute_0_3539,plain,
( complement(meet(one,join(sk1,complement(one)))) != join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))))
| meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))) != complement(sk1)
| complement(meet(one,join(sk1,complement(one)))) = join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(sk1,complement(one)))),join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_3540,plain,
( complement(meet(one,join(sk1,complement(one)))) != join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))))
| complement(meet(one,join(sk1,complement(one)))) = join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))),complement(sk1)) )],[refute_0_3538,refute_0_3539]) ).
cnf(refute_0_3541,plain,
complement(meet(one,join(sk1,complement(one)))) = join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1)),
inference(resolve,[$cnf( $equal(complement(meet(one,join(sk1,complement(one)))),join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),meet(complement(sk1),complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_3521,refute_0_3540]) ).
cnf(refute_0_3542,plain,
meet(complement(meet(one,join(sk1,complement(one)))),sk1) = meet(sk1,complement(meet(one,join(sk1,complement(one))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(sk1)),bind(X_7,$fot(complement(meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_3543,plain,
join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)) = join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)),
introduced(tautology,[refl,[$fot(join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)))]]) ).
cnf(refute_0_3544,plain,
( join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)) != join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1))
| meet(complement(meet(one,join(sk1,complement(one)))),sk1) != meet(sk1,complement(meet(one,join(sk1,complement(one)))))
| join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)) = join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)),join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1))) ),[1,1],$fot(meet(sk1,complement(meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_3545,plain,
( meet(complement(meet(one,join(sk1,complement(one)))),sk1) != meet(sk1,complement(meet(one,join(sk1,complement(one)))))
| join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)) = join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)),join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1))) )],[refute_0_3543,refute_0_3544]) ).
cnf(refute_0_3546,plain,
join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)) = join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,join(sk1,complement(one)))),sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))) )],[refute_0_3542,refute_0_3545]) ).
cnf(refute_0_3547,plain,
join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1)) = join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(sk1))),bind(B,$fot(meet(complement(meet(one,join(sk1,complement(one)))),sk1)))]]) ).
cnf(refute_0_3548,plain,
( join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)) != join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))
| join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1)) != join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1))
| join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1)) = join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1)))),bind(Y,$fot(join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)))),bind(Z,$fot(join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3549,plain,
( join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)) != join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))
| join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1)) = join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1)),join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1))) )],[refute_0_3547,refute_0_3548]) ).
cnf(refute_0_3550,plain,
join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1)) = join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(complement(meet(one,join(sk1,complement(one)))),sk1)),join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_3546,refute_0_3549]) ).
cnf(refute_0_3551,plain,
( complement(meet(one,join(sk1,complement(one)))) != join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1))
| join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1)) != join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))
| complement(meet(one,join(sk1,complement(one)))) = join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,join(sk1,complement(one)))),join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))) ),[0],$fot(join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1)))]]) ).
cnf(refute_0_3552,plain,
( complement(meet(one,join(sk1,complement(one)))) != join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1))
| complement(meet(one,join(sk1,complement(one)))) = join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1)),join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_3550,refute_0_3551]) ).
cnf(refute_0_3553,plain,
complement(meet(one,join(sk1,complement(one)))) = join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(sk1,complement(one)))),join(meet(complement(meet(one,join(sk1,complement(one)))),sk1),complement(sk1))) )],[refute_0_3541,refute_0_3552]) ).
cnf(refute_0_3554,plain,
( complement(meet(one,join(sk1,complement(one)))) != join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))
| join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))) = complement(meet(one,join(sk1,complement(one)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(meet(one,join(sk1,complement(one)))))),bind(Y,$fot(join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3555,plain,
join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))) = complement(meet(one,join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(sk1,complement(one)))),join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_3553,refute_0_3554]) ).
cnf(refute_0_3556,plain,
( join(A,join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))) != join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))
| join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))) != complement(meet(one,join(sk1,complement(one))))
| join(A,complement(meet(one,join(sk1,complement(one))))) = join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))),join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))) ),[0,1],$fot(complement(meet(one,join(sk1,complement(one)))))]]) ).
cnf(refute_0_3557,plain,
( join(A,join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))) != join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))
| join(A,complement(meet(one,join(sk1,complement(one))))) = join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one)))))),complement(meet(one,join(sk1,complement(one))))) )],[refute_0_3555,refute_0_3556]) ).
cnf(refute_0_3558,plain,
join(A,complement(meet(one,join(sk1,complement(one))))) = join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)),
inference(resolve,[$cnf( $equal(join(A,join(complement(sk1),meet(sk1,complement(meet(one,join(sk1,complement(one))))))),join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))) )],[refute_0_3520,refute_0_3557]) ).
cnf(refute_0_3559,plain,
join(A,complement(meet(one,join(sk1,complement(one))))) = join(A,complement(meet(one,join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(join(A,complement(meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_3560,plain,
( complement(meet(one,join(sk1,complement(one)))) != complement(sk1)
| join(A,complement(meet(one,join(sk1,complement(one))))) != join(A,complement(meet(one,join(sk1,complement(one)))))
| join(A,complement(meet(one,join(sk1,complement(one))))) = join(A,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,complement(meet(one,join(sk1,complement(one))))),join(A,complement(meet(one,join(sk1,complement(one)))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_3561,plain,
( complement(meet(one,join(sk1,complement(one)))) != complement(sk1)
| join(A,complement(meet(one,join(sk1,complement(one))))) = join(A,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(A,complement(meet(one,join(sk1,complement(one))))),join(A,complement(meet(one,join(sk1,complement(one)))))) )],[refute_0_3559,refute_0_3560]) ).
cnf(refute_0_3562,plain,
join(A,complement(meet(one,join(sk1,complement(one))))) = join(A,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(meet(one,join(sk1,complement(one)))),complement(sk1)) )],[refute_0_2333,refute_0_3561]) ).
cnf(refute_0_3563,plain,
( join(A,complement(meet(one,join(sk1,complement(one))))) != join(A,complement(sk1))
| join(A,complement(meet(one,join(sk1,complement(one))))) != join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))
| join(A,complement(sk1)) = join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,complement(meet(one,join(sk1,complement(one))))),join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))) ),[0],$fot(join(A,complement(sk1)))]]) ).
cnf(refute_0_3564,plain,
( join(A,complement(meet(one,join(sk1,complement(one))))) != join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))
| join(A,complement(sk1)) = join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)) ),
inference(resolve,[$cnf( $equal(join(A,complement(meet(one,join(sk1,complement(one))))),join(A,complement(sk1))) )],[refute_0_3562,refute_0_3563]) ).
cnf(refute_0_3565,plain,
meet(sk1,complement(sk1)) = zero,
inference(subst,[],[refute_0_486:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_3566,plain,
meet(sk1,complement(meet(one,join(sk1,complement(one))))) = meet(sk1,complement(meet(one,join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(meet(sk1,complement(meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_3567,plain,
( complement(meet(one,join(sk1,complement(one)))) != complement(sk1)
| meet(sk1,complement(meet(one,join(sk1,complement(one))))) != meet(sk1,complement(meet(one,join(sk1,complement(one)))))
| meet(sk1,complement(meet(one,join(sk1,complement(one))))) = meet(sk1,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(meet(one,join(sk1,complement(one))))),meet(sk1,complement(meet(one,join(sk1,complement(one)))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_3568,plain,
( complement(meet(one,join(sk1,complement(one)))) != complement(sk1)
| meet(sk1,complement(meet(one,join(sk1,complement(one))))) = meet(sk1,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(meet(one,join(sk1,complement(one))))),meet(sk1,complement(meet(one,join(sk1,complement(one)))))) )],[refute_0_3566,refute_0_3567]) ).
cnf(refute_0_3569,plain,
meet(sk1,complement(meet(one,join(sk1,complement(one))))) = meet(sk1,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(meet(one,join(sk1,complement(one)))),complement(sk1)) )],[refute_0_2333,refute_0_3568]) ).
cnf(refute_0_3570,plain,
( meet(sk1,complement(meet(one,join(sk1,complement(one))))) != meet(sk1,complement(sk1))
| meet(sk1,complement(sk1)) != zero
| meet(sk1,complement(meet(one,join(sk1,complement(one))))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(sk1,complement(meet(one,join(sk1,complement(one))))))),bind(Y,$fot(meet(sk1,complement(sk1)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_3571,plain,
( meet(sk1,complement(sk1)) != zero
| meet(sk1,complement(meet(one,join(sk1,complement(one))))) = zero ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(meet(one,join(sk1,complement(one))))),meet(sk1,complement(sk1))) )],[refute_0_3569,refute_0_3570]) ).
cnf(refute_0_3572,plain,
meet(sk1,complement(meet(one,join(sk1,complement(one))))) = zero,
inference(resolve,[$cnf( $equal(meet(sk1,complement(sk1)),zero) )],[refute_0_3565,refute_0_3571]) ).
cnf(refute_0_3573,plain,
join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A) = join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A),
introduced(tautology,[refl,[$fot(join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))]]) ).
cnf(refute_0_3574,plain,
( join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A) != join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)
| meet(sk1,complement(meet(one,join(sk1,complement(one))))) != zero
| join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A) = join(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3575,plain,
( meet(sk1,complement(meet(one,join(sk1,complement(one))))) != zero
| join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A) = join(zero,A) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)) )],[refute_0_3573,refute_0_3574]) ).
cnf(refute_0_3576,plain,
join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A) = join(zero,A),
inference(resolve,[$cnf( $equal(meet(sk1,complement(meet(one,join(sk1,complement(one))))),zero) )],[refute_0_3572,refute_0_3575]) ).
cnf(refute_0_3577,plain,
( join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A) != join(zero,A)
| join(zero,A) != A
| join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A) = A ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))),bind(Y,$fot(join(zero,A))),bind(Z,$fot(A))]]) ).
cnf(refute_0_3578,plain,
( join(zero,A) != A
| join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A) = A ),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A),join(zero,A)) )],[refute_0_3576,refute_0_3577]) ).
cnf(refute_0_3579,plain,
join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A) = A,
inference(resolve,[$cnf( $equal(join(zero,A),A) )],[refute_0_1385,refute_0_3578]) ).
cnf(refute_0_3580,plain,
join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)) = join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)),
introduced(tautology,[refl,[$fot(join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)))]]) ).
cnf(refute_0_3581,plain,
( join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)) != join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))
| join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A) != A
| join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)) = join(complement(sk1),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)),join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_3582,plain,
( join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A) != A
| join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)) = join(complement(sk1),A) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)),join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))) )],[refute_0_3580,refute_0_3581]) ).
cnf(refute_0_3583,plain,
join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)) = join(complement(sk1),A),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A),A) )],[refute_0_3579,refute_0_3582]) ).
cnf(refute_0_3584,plain,
( join(A,complement(sk1)) != join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))
| join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)) != join(complement(sk1),A)
| join(A,complement(sk1)) = join(complement(sk1),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,complement(sk1)),join(complement(sk1),A)) ),[0],$fot(join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)))]]) ).
cnf(refute_0_3585,plain,
( join(A,complement(sk1)) != join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))
| join(A,complement(sk1)) = join(complement(sk1),A) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A)),join(complement(sk1),A)) )],[refute_0_3583,refute_0_3584]) ).
cnf(refute_0_3586,plain,
( join(A,complement(meet(one,join(sk1,complement(one))))) != join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))
| join(A,complement(sk1)) = join(complement(sk1),A) ),
inference(resolve,[$cnf( $equal(join(A,complement(sk1)),join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))) )],[refute_0_3564,refute_0_3585]) ).
cnf(refute_0_3587,plain,
join(A,complement(sk1)) = join(complement(sk1),A),
inference(resolve,[$cnf( $equal(join(A,complement(meet(one,join(sk1,complement(one))))),join(complement(sk1),join(meet(sk1,complement(meet(one,join(sk1,complement(one))))),A))) )],[refute_0_3558,refute_0_3586]) ).
cnf(refute_0_3588,plain,
join(converse(complement(meet(one,converse(complement(sk1))))),complement(sk1)) = join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))),
inference(subst,[],[refute_0_3587:[bind(A,$fot(converse(complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_3589,plain,
converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) = join(converse(complement(meet(one,converse(complement(sk1))))),complement(sk1)),
inference(subst,[],[refute_0_1350:[bind(A,$fot(complement(sk1))),bind(X_11,$fot(complement(meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_3590,plain,
( converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) != join(converse(complement(meet(one,converse(complement(sk1))))),complement(sk1))
| join(converse(complement(meet(one,converse(complement(sk1))))),complement(sk1)) != join(complement(sk1),converse(complement(meet(one,converse(complement(sk1))))))
| converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) = join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))))),bind(Y,$fot(join(converse(complement(meet(one,converse(complement(sk1))))),complement(sk1)))),bind(Z,$fot(join(complement(sk1),converse(complement(meet(one,converse(complement(sk1))))))))]]) ).
cnf(refute_0_3591,plain,
( join(converse(complement(meet(one,converse(complement(sk1))))),complement(sk1)) != join(complement(sk1),converse(complement(meet(one,converse(complement(sk1))))))
| converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) = join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))),join(converse(complement(meet(one,converse(complement(sk1))))),complement(sk1))) )],[refute_0_3589,refute_0_3590]) ).
cnf(refute_0_3592,plain,
converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) = join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(converse(complement(meet(one,converse(complement(sk1))))),complement(sk1)),join(complement(sk1),converse(complement(meet(one,converse(complement(sk1))))))) )],[refute_0_3588,refute_0_3591]) ).
cnf(refute_0_3593,plain,
( converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) != converse(top)
| converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) != join(complement(sk1),converse(complement(meet(one,converse(complement(sk1))))))
| join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))),converse(top)) ),[0],$fot(join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_3594,plain,
( converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) != converse(top)
| join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))),join(complement(sk1),converse(complement(meet(one,converse(complement(sk1))))))) )],[refute_0_3592,refute_0_3593]) ).
cnf(refute_0_3595,plain,
( converse(top) != top
| join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) != converse(top)
| join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_3596,plain,
( join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) != converse(top)
| join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_3595]) ).
cnf(refute_0_3597,plain,
( converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))) != converse(top)
| join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))),converse(top)) )],[refute_0_3594,refute_0_3596]) ).
cnf(refute_0_3598,plain,
join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) = top,
inference(resolve,[$cnf( $equal(converse(join(complement(meet(one,converse(complement(sk1)))),converse(complement(sk1)))),converse(top)) )],[refute_0_3519,refute_0_3597]) ).
cnf(refute_0_3599,plain,
converse(complement(meet(one,converse(complement(sk1))))) = converse(complement(meet(one,converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(converse(complement(meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_3600,plain,
( complement(meet(one,converse(complement(sk1)))) != complement(converse(meet(one,complement(sk1))))
| converse(complement(meet(one,converse(complement(sk1))))) != converse(complement(meet(one,converse(complement(sk1)))))
| converse(complement(meet(one,converse(complement(sk1))))) = converse(complement(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,converse(complement(sk1))))),converse(complement(meet(one,converse(complement(sk1)))))) ),[1,0],$fot(complement(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_3601,plain,
( complement(meet(one,converse(complement(sk1)))) != complement(converse(meet(one,complement(sk1))))
| converse(complement(meet(one,converse(complement(sk1))))) = converse(complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(complement(sk1))))),converse(complement(meet(one,converse(complement(sk1)))))) )],[refute_0_3599,refute_0_3600]) ).
cnf(refute_0_3602,plain,
converse(complement(meet(one,converse(complement(sk1))))) = converse(complement(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(sk1)))),complement(converse(meet(one,complement(sk1))))) )],[refute_0_2987,refute_0_3601]) ).
cnf(refute_0_3603,plain,
join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) = join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))),
introduced(tautology,[refl,[$fot(join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_3604,plain,
( converse(complement(meet(one,converse(complement(sk1))))) != converse(complement(converse(meet(one,complement(sk1)))))
| join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) != join(complement(sk1),converse(complement(meet(one,converse(complement(sk1))))))
| join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) = join(complement(sk1),converse(complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))),join(complement(sk1),converse(complement(meet(one,converse(complement(sk1))))))) ),[1,1],$fot(converse(complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3605,plain,
( converse(complement(meet(one,converse(complement(sk1))))) != converse(complement(converse(meet(one,complement(sk1)))))
| join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) = join(complement(sk1),converse(complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))),join(complement(sk1),converse(complement(meet(one,converse(complement(sk1))))))) )],[refute_0_3603,refute_0_3604]) ).
cnf(refute_0_3606,plain,
join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) = join(complement(sk1),converse(complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(complement(sk1))))),converse(complement(converse(meet(one,complement(sk1)))))) )],[refute_0_3602,refute_0_3605]) ).
cnf(refute_0_3607,plain,
( join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) != join(complement(sk1),converse(complement(converse(meet(one,complement(sk1))))))
| join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) != top
| join(complement(sk1),converse(complement(converse(meet(one,complement(sk1)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))),top) ),[0],$fot(join(complement(sk1),converse(complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3608,plain,
( join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))) != top
| join(complement(sk1),converse(complement(converse(meet(one,complement(sk1)))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))),join(complement(sk1),converse(complement(converse(meet(one,complement(sk1))))))) )],[refute_0_3606,refute_0_3607]) ).
cnf(refute_0_3609,plain,
join(complement(sk1),converse(complement(converse(meet(one,complement(sk1)))))) = top,
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(complement(meet(one,converse(complement(sk1)))))),top) )],[refute_0_3598,refute_0_3608]) ).
cnf(refute_0_3610,plain,
( join(complement(sk1),converse(complement(converse(meet(one,complement(sk1)))))) != top
| meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))) != complement(join(complement(sk1),converse(complement(converse(meet(one,complement(sk1)))))))
| meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))),complement(join(complement(sk1),converse(complement(converse(meet(one,complement(sk1)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3611,plain,
( meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))) != complement(join(complement(sk1),converse(complement(converse(meet(one,complement(sk1)))))))
| meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(complement(converse(meet(one,complement(sk1)))))),top) )],[refute_0_3609,refute_0_3610]) ).
cnf(refute_0_3612,plain,
meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))),complement(join(complement(sk1),converse(complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_3515,refute_0_3611]) ).
cnf(refute_0_3613,plain,
( complement(top) != zero
| meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))) != complement(top)
| meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_3614,plain,
( meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))) != complement(top)
| meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_3613]) ).
cnf(refute_0_3615,plain,
meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))) = zero,
inference(resolve,[$cnf( $equal(meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))),complement(top)) )],[refute_0_3612,refute_0_3614]) ).
cnf(refute_0_3616,plain,
( complement(converse(complement(converse(meet(one,complement(sk1)))))) != meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1)))))))))
| meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))) != zero
| complement(converse(complement(converse(meet(one,complement(sk1)))))) = meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(meet(one,complement(sk1)))))),meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1)))))))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_3617,plain,
( complement(converse(complement(converse(meet(one,complement(sk1)))))) != meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1)))))))))
| complement(converse(complement(converse(meet(one,complement(sk1)))))) = meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1))))))),zero) )],[refute_0_3615,refute_0_3616]) ).
cnf(refute_0_3618,plain,
complement(converse(complement(converse(meet(one,complement(sk1)))))) = meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(meet(one,complement(sk1)))))),meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),meet(sk1,complement(converse(complement(converse(meet(one,complement(sk1)))))))))) )],[refute_0_3498,refute_0_3617]) ).
cnf(refute_0_3619,plain,
complement(converse(zero)) = complement(converse(zero)),
introduced(tautology,[refl,[$fot(complement(converse(zero)))]]) ).
cnf(refute_0_3620,plain,
( complement(converse(zero)) != complement(converse(zero))
| converse(zero) != zero
| complement(converse(zero)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(zero)),complement(converse(zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3621,plain,
( converse(zero) != zero
| complement(converse(zero)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),complement(converse(zero))) )],[refute_0_3619,refute_0_3620]) ).
cnf(refute_0_3622,plain,
complement(converse(zero)) = complement(zero),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1322,refute_0_3621]) ).
cnf(refute_0_3623,plain,
( complement(converse(zero)) != complement(zero)
| top != complement(converse(zero))
| top = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,complement(converse(zero))) ),[1],$fot(complement(zero))]]) ).
cnf(refute_0_3624,plain,
( top != complement(converse(zero))
| top = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),complement(zero)) )],[refute_0_3622,refute_0_3623]) ).
cnf(refute_0_3625,plain,
top = complement(zero),
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_1292,refute_0_3624]) ).
cnf(refute_0_3626,plain,
( top != complement(zero)
| complement(zero) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(complement(zero)))]]) ).
cnf(refute_0_3627,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(top,complement(zero)) )],[refute_0_3625,refute_0_3626]) ).
cnf(refute_0_3628,plain,
meet(sk1,complement(zero)) = meet(sk1,complement(zero)),
introduced(tautology,[refl,[$fot(meet(sk1,complement(zero)))]]) ).
cnf(refute_0_3629,plain,
( complement(zero) != top
| meet(sk1,complement(zero)) != meet(sk1,complement(zero))
| meet(sk1,complement(zero)) = meet(sk1,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(zero)),meet(sk1,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3630,plain,
( complement(zero) != top
| meet(sk1,complement(zero)) = meet(sk1,top) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(zero)),meet(sk1,complement(zero))) )],[refute_0_3628,refute_0_3629]) ).
cnf(refute_0_3631,plain,
meet(sk1,complement(zero)) = meet(sk1,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_3627,refute_0_3630]) ).
cnf(refute_0_3632,plain,
( meet(sk1,complement(zero)) != meet(sk1,top)
| meet(sk1,top) != sk1
| meet(sk1,complement(zero)) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(sk1,complement(zero)))),bind(Y,$fot(meet(sk1,top))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_3633,plain,
( meet(sk1,top) != sk1
| meet(sk1,complement(zero)) = sk1 ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(zero)),meet(sk1,top)) )],[refute_0_3631,refute_0_3632]) ).
cnf(refute_0_3634,plain,
meet(sk1,complement(zero)) = sk1,
inference(resolve,[$cnf( $equal(meet(sk1,top),sk1) )],[refute_0_1907,refute_0_3633]) ).
cnf(refute_0_3635,plain,
join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))) = join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))),
introduced(tautology,[refl,[$fot(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3636,plain,
( join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))) != join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))
| meet(sk1,complement(zero)) != sk1
| join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))) = join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))),join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_3637,plain,
( meet(sk1,complement(zero)) != sk1
| join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))) = join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))),join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))) )],[refute_0_3635,refute_0_3636]) ).
cnf(refute_0_3638,plain,
join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))) = join(sk1,converse(complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(meet(sk1,complement(zero)),sk1) )],[refute_0_3634,refute_0_3637]) ).
cnf(refute_0_3639,plain,
complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))) = complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))),
introduced(tautology,[refl,[$fot(complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3640,plain,
( complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))) != complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))
| join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))) != join(sk1,converse(complement(converse(meet(one,complement(sk1))))))
| complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))) = complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))),complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))) ),[1,0],$fot(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3641,plain,
( join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))) != join(sk1,converse(complement(converse(meet(one,complement(sk1))))))
| complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))) = complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))),complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_3639,refute_0_3640]) ).
cnf(refute_0_3642,plain,
complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))) = complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))),join(sk1,converse(complement(converse(meet(one,complement(sk1))))))) )],[refute_0_3638,refute_0_3641]) ).
cnf(refute_0_3643,plain,
meet(join(X_190,complement(sk1)),complement(X_299)) = complement(join(complement(join(X_190,complement(sk1))),X_299)),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(join(X_190,complement(sk1)))),bind(X_281,$fot(X_299))]]) ).
cnf(refute_0_3644,plain,
join(complement(sk1),X_190) = join(X_190,complement(sk1)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(sk1))),bind(B,$fot(X_190))]]) ).
cnf(refute_0_3645,plain,
( join(complement(sk1),X_190) != join(X_190,complement(sk1))
| join(X_190,complement(sk1)) = join(complement(sk1),X_190) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(sk1),X_190))),bind(Y,$fot(join(X_190,complement(sk1))))]]) ).
cnf(refute_0_3646,plain,
join(X_190,complement(sk1)) = join(complement(sk1),X_190),
inference(resolve,[$cnf( $equal(join(complement(sk1),X_190),join(X_190,complement(sk1))) )],[refute_0_3644,refute_0_3645]) ).
cnf(refute_0_3647,plain,
( complement(join(X_190,complement(sk1))) != meet(one,complement(join(X_190,complement(sk1))))
| join(X_190,complement(sk1)) != join(complement(sk1),X_190)
| complement(join(complement(sk1),X_190)) = meet(one,complement(join(X_190,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_190,complement(sk1))),meet(one,complement(join(X_190,complement(sk1))))) ),[0,0],$fot(join(complement(sk1),X_190))]]) ).
cnf(refute_0_3648,plain,
( complement(join(X_190,complement(sk1))) != meet(one,complement(join(X_190,complement(sk1))))
| complement(join(complement(sk1),X_190)) = meet(one,complement(join(X_190,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(X_190,complement(sk1)),join(complement(sk1),X_190)) )],[refute_0_3646,refute_0_3647]) ).
cnf(refute_0_3649,plain,
complement(join(complement(sk1),X_190)) = meet(one,complement(join(X_190,complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(join(X_190,complement(sk1))),meet(one,complement(join(X_190,complement(sk1))))) )],[refute_0_1844,refute_0_3648]) ).
cnf(refute_0_3650,plain,
( complement(join(complement(sk1),X_190)) != meet(one,complement(join(X_190,complement(sk1))))
| meet(one,complement(join(X_190,complement(sk1)))) != complement(join(X_190,complement(sk1)))
| complement(join(complement(sk1),X_190)) = complement(join(X_190,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(complement(sk1),X_190)),complement(join(X_190,complement(sk1)))) ),[0],$fot(meet(one,complement(join(X_190,complement(sk1)))))]]) ).
cnf(refute_0_3651,plain,
( complement(join(complement(sk1),X_190)) != meet(one,complement(join(X_190,complement(sk1))))
| complement(join(complement(sk1),X_190)) = complement(join(X_190,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(X_190,complement(sk1)))),complement(join(X_190,complement(sk1)))) )],[refute_0_1846,refute_0_3650]) ).
cnf(refute_0_3652,plain,
complement(join(complement(sk1),X_190)) = complement(join(X_190,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),X_190)),meet(one,complement(join(X_190,complement(sk1))))) )],[refute_0_3649,refute_0_3651]) ).
cnf(refute_0_3653,plain,
( meet(X_279,complement(X_281)) != complement(join(complement(X_279),X_281))
| complement(join(complement(X_279),X_281)) = meet(X_279,complement(X_281)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_279,complement(X_281)))),bind(Y,$fot(complement(join(complement(X_279),X_281))))]]) ).
cnf(refute_0_3654,plain,
complement(join(complement(X_279),X_281)) = meet(X_279,complement(X_281)),
inference(resolve,[$cnf( $equal(meet(X_279,complement(X_281)),complement(join(complement(X_279),X_281))) )],[refute_0_3514,refute_0_3653]) ).
cnf(refute_0_3655,plain,
complement(join(complement(sk1),X_190)) = meet(sk1,complement(X_190)),
inference(subst,[],[refute_0_3654:[bind(X_279,$fot(sk1)),bind(X_281,$fot(X_190))]]) ).
cnf(refute_0_3656,plain,
( complement(join(complement(sk1),X_190)) != complement(join(X_190,complement(sk1)))
| complement(join(complement(sk1),X_190)) != meet(sk1,complement(X_190))
| meet(sk1,complement(X_190)) = complement(join(X_190,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(sk1),X_190)),complement(join(X_190,complement(sk1)))) ),[0],$fot(meet(sk1,complement(X_190)))]]) ).
cnf(refute_0_3657,plain,
( complement(join(complement(sk1),X_190)) != complement(join(X_190,complement(sk1)))
| meet(sk1,complement(X_190)) = complement(join(X_190,complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),X_190)),meet(sk1,complement(X_190))) )],[refute_0_3655,refute_0_3656]) ).
cnf(refute_0_3658,plain,
meet(sk1,complement(X_190)) = complement(join(X_190,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),X_190)),complement(join(X_190,complement(sk1)))) )],[refute_0_3652,refute_0_3657]) ).
cnf(refute_0_3659,plain,
( meet(sk1,complement(X_190)) != complement(join(X_190,complement(sk1)))
| complement(join(X_190,complement(sk1))) = meet(sk1,complement(X_190)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(sk1,complement(X_190)))),bind(Y,$fot(complement(join(X_190,complement(sk1)))))]]) ).
cnf(refute_0_3660,plain,
complement(join(X_190,complement(sk1))) = meet(sk1,complement(X_190)),
inference(resolve,[$cnf( $equal(meet(sk1,complement(X_190)),complement(join(X_190,complement(sk1)))) )],[refute_0_3658,refute_0_3659]) ).
cnf(refute_0_3661,plain,
( complement(join(X_190,complement(sk1))) != meet(sk1,complement(X_190))
| meet(join(X_190,complement(sk1)),complement(X_299)) != complement(join(complement(join(X_190,complement(sk1))),X_299))
| meet(join(X_190,complement(sk1)),complement(X_299)) = complement(join(meet(sk1,complement(X_190)),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_190,complement(sk1)),complement(X_299)),complement(join(complement(join(X_190,complement(sk1))),X_299))) ),[1,0,0],$fot(meet(sk1,complement(X_190)))]]) ).
cnf(refute_0_3662,plain,
( meet(join(X_190,complement(sk1)),complement(X_299)) != complement(join(complement(join(X_190,complement(sk1))),X_299))
| meet(join(X_190,complement(sk1)),complement(X_299)) = complement(join(meet(sk1,complement(X_190)),X_299)) ),
inference(resolve,[$cnf( $equal(complement(join(X_190,complement(sk1))),meet(sk1,complement(X_190))) )],[refute_0_3660,refute_0_3661]) ).
cnf(refute_0_3663,plain,
meet(join(X_190,complement(sk1)),complement(X_299)) = complement(join(meet(sk1,complement(X_190)),X_299)),
inference(resolve,[$cnf( $equal(meet(join(X_190,complement(sk1)),complement(X_299)),complement(join(complement(join(X_190,complement(sk1))),X_299))) )],[refute_0_3643,refute_0_3662]) ).
cnf(refute_0_3664,plain,
meet(join(zero,complement(sk1)),complement(converse(complement(converse(meet(one,complement(sk1))))))) = complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))),
inference(subst,[],[refute_0_3663:[bind(X_190,$fot(zero)),bind(X_299,$fot(converse(complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3665,plain,
meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1))) = meet(join(zero,complement(sk1)),complement(converse(complement(converse(meet(one,complement(sk1))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(join(zero,complement(sk1)))),bind(X_7,$fot(complement(converse(complement(converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3666,plain,
( meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1))) != meet(join(zero,complement(sk1)),complement(converse(complement(converse(meet(one,complement(sk1)))))))
| meet(join(zero,complement(sk1)),complement(converse(complement(converse(meet(one,complement(sk1))))))) != complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))
| meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1))) = complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1))))),bind(Y,$fot(meet(join(zero,complement(sk1)),complement(converse(complement(converse(meet(one,complement(sk1))))))))),bind(Z,$fot(complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_3667,plain,
( meet(join(zero,complement(sk1)),complement(converse(complement(converse(meet(one,complement(sk1))))))) != complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))
| meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1))) = complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1))),meet(join(zero,complement(sk1)),complement(converse(complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_3665,refute_0_3666]) ).
cnf(refute_0_3668,plain,
meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1))) = complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(sk1)),complement(converse(complement(converse(meet(one,complement(sk1))))))),complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_3664,refute_0_3667]) ).
cnf(refute_0_3669,plain,
meet(X_298,complement(meet(sk1,complement(X_287)))) = complement(join(complement(X_298),meet(sk1,complement(X_287)))),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(X_298)),bind(X_281,$fot(meet(sk1,complement(X_287))))]]) ).
cnf(refute_0_3670,plain,
join(X_287,complement(sk1)) = complement(complement(join(X_287,complement(sk1)))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(join(X_287,complement(sk1))))]]) ).
cnf(refute_0_3671,plain,
meet(sk1,complement(X_287)) = complement(join(X_287,complement(sk1))),
inference(subst,[],[refute_0_3658:[bind(X_190,$fot(X_287))]]) ).
cnf(refute_0_3672,plain,
( meet(sk1,complement(X_287)) != complement(join(X_287,complement(sk1)))
| complement(join(X_287,complement(sk1))) = meet(sk1,complement(X_287)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(sk1,complement(X_287)))),bind(Y,$fot(complement(join(X_287,complement(sk1)))))]]) ).
cnf(refute_0_3673,plain,
complement(join(X_287,complement(sk1))) = meet(sk1,complement(X_287)),
inference(resolve,[$cnf( $equal(meet(sk1,complement(X_287)),complement(join(X_287,complement(sk1)))) )],[refute_0_3671,refute_0_3672]) ).
cnf(refute_0_3674,plain,
( complement(join(X_287,complement(sk1))) != meet(sk1,complement(X_287))
| join(X_287,complement(sk1)) != complement(complement(join(X_287,complement(sk1))))
| join(X_287,complement(sk1)) = complement(meet(sk1,complement(X_287))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_287,complement(sk1)),complement(complement(join(X_287,complement(sk1))))) ),[1,0],$fot(meet(sk1,complement(X_287)))]]) ).
cnf(refute_0_3675,plain,
( join(X_287,complement(sk1)) != complement(complement(join(X_287,complement(sk1))))
| join(X_287,complement(sk1)) = complement(meet(sk1,complement(X_287))) ),
inference(resolve,[$cnf( $equal(complement(join(X_287,complement(sk1))),meet(sk1,complement(X_287))) )],[refute_0_3673,refute_0_3674]) ).
cnf(refute_0_3676,plain,
join(X_287,complement(sk1)) = complement(meet(sk1,complement(X_287))),
inference(resolve,[$cnf( $equal(join(X_287,complement(sk1)),complement(complement(join(X_287,complement(sk1))))) )],[refute_0_3670,refute_0_3675]) ).
cnf(refute_0_3677,plain,
( join(X_287,complement(sk1)) != complement(meet(sk1,complement(X_287)))
| complement(meet(sk1,complement(X_287))) = join(X_287,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_287,complement(sk1)))),bind(Y,$fot(complement(meet(sk1,complement(X_287)))))]]) ).
cnf(refute_0_3678,plain,
complement(meet(sk1,complement(X_287))) = join(X_287,complement(sk1)),
inference(resolve,[$cnf( $equal(join(X_287,complement(sk1)),complement(meet(sk1,complement(X_287)))) )],[refute_0_3676,refute_0_3677]) ).
cnf(refute_0_3679,plain,
( complement(meet(sk1,complement(X_287))) != join(X_287,complement(sk1))
| meet(X_298,complement(meet(sk1,complement(X_287)))) != complement(join(complement(X_298),meet(sk1,complement(X_287))))
| meet(X_298,join(X_287,complement(sk1))) = complement(join(complement(X_298),meet(sk1,complement(X_287)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_298,complement(meet(sk1,complement(X_287)))),complement(join(complement(X_298),meet(sk1,complement(X_287))))) ),[0,1],$fot(join(X_287,complement(sk1)))]]) ).
cnf(refute_0_3680,plain,
( meet(X_298,complement(meet(sk1,complement(X_287)))) != complement(join(complement(X_298),meet(sk1,complement(X_287))))
| meet(X_298,join(X_287,complement(sk1))) = complement(join(complement(X_298),meet(sk1,complement(X_287)))) ),
inference(resolve,[$cnf( $equal(complement(meet(sk1,complement(X_287))),join(X_287,complement(sk1))) )],[refute_0_3678,refute_0_3679]) ).
cnf(refute_0_3681,plain,
meet(X_298,join(X_287,complement(sk1))) = complement(join(complement(X_298),meet(sk1,complement(X_287)))),
inference(resolve,[$cnf( $equal(meet(X_298,complement(meet(sk1,complement(X_287)))),complement(join(complement(X_298),meet(sk1,complement(X_287))))) )],[refute_0_3669,refute_0_3680]) ).
cnf(refute_0_3682,plain,
join(complement(X_298),X_299) = complement(complement(join(complement(X_298),X_299))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(join(complement(X_298),X_299)))]]) ).
cnf(refute_0_3683,plain,
meet(X_298,complement(X_299)) = complement(join(complement(X_298),X_299)),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(X_298)),bind(X_281,$fot(X_299))]]) ).
cnf(refute_0_3684,plain,
( meet(X_298,complement(X_299)) != complement(join(complement(X_298),X_299))
| complement(join(complement(X_298),X_299)) = meet(X_298,complement(X_299)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_298,complement(X_299)))),bind(Y,$fot(complement(join(complement(X_298),X_299))))]]) ).
cnf(refute_0_3685,plain,
complement(join(complement(X_298),X_299)) = meet(X_298,complement(X_299)),
inference(resolve,[$cnf( $equal(meet(X_298,complement(X_299)),complement(join(complement(X_298),X_299))) )],[refute_0_3683,refute_0_3684]) ).
cnf(refute_0_3686,plain,
( complement(join(complement(X_298),X_299)) != meet(X_298,complement(X_299))
| join(complement(X_298),X_299) != complement(complement(join(complement(X_298),X_299)))
| join(complement(X_298),X_299) = complement(meet(X_298,complement(X_299))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_298),X_299),complement(complement(join(complement(X_298),X_299)))) ),[1,0],$fot(meet(X_298,complement(X_299)))]]) ).
cnf(refute_0_3687,plain,
( join(complement(X_298),X_299) != complement(complement(join(complement(X_298),X_299)))
| join(complement(X_298),X_299) = complement(meet(X_298,complement(X_299))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_298),X_299)),meet(X_298,complement(X_299))) )],[refute_0_3685,refute_0_3686]) ).
cnf(refute_0_3688,plain,
join(complement(X_298),X_299) = complement(meet(X_298,complement(X_299))),
inference(resolve,[$cnf( $equal(join(complement(X_298),X_299),complement(complement(join(complement(X_298),X_299)))) )],[refute_0_3682,refute_0_3687]) ).
cnf(refute_0_3689,plain,
( join(complement(X_298),X_299) != complement(meet(X_298,complement(X_299)))
| complement(meet(X_298,complement(X_299))) = join(complement(X_298),X_299) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(X_298),X_299))),bind(Y,$fot(complement(meet(X_298,complement(X_299)))))]]) ).
cnf(refute_0_3690,plain,
complement(meet(X_298,complement(X_299))) = join(complement(X_298),X_299),
inference(resolve,[$cnf( $equal(join(complement(X_298),X_299),complement(meet(X_298,complement(X_299)))) )],[refute_0_3688,refute_0_3689]) ).
cnf(refute_0_3691,plain,
complement(meet(sk1,complement(X_287))) = join(complement(sk1),X_287),
inference(subst,[],[refute_0_3690:[bind(X_298,$fot(sk1)),bind(X_299,$fot(X_287))]]) ).
cnf(refute_0_3692,plain,
meet(X_298,complement(meet(sk1,complement(X_287)))) = meet(X_298,complement(meet(sk1,complement(X_287)))),
introduced(tautology,[refl,[$fot(meet(X_298,complement(meet(sk1,complement(X_287)))))]]) ).
cnf(refute_0_3693,plain,
( complement(meet(sk1,complement(X_287))) != join(complement(sk1),X_287)
| meet(X_298,complement(meet(sk1,complement(X_287)))) != meet(X_298,complement(meet(sk1,complement(X_287))))
| meet(X_298,complement(meet(sk1,complement(X_287)))) = meet(X_298,join(complement(sk1),X_287)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_298,complement(meet(sk1,complement(X_287)))),meet(X_298,complement(meet(sk1,complement(X_287))))) ),[1,1],$fot(join(complement(sk1),X_287))]]) ).
cnf(refute_0_3694,plain,
( complement(meet(sk1,complement(X_287))) != join(complement(sk1),X_287)
| meet(X_298,complement(meet(sk1,complement(X_287)))) = meet(X_298,join(complement(sk1),X_287)) ),
inference(resolve,[$cnf( $equal(meet(X_298,complement(meet(sk1,complement(X_287)))),meet(X_298,complement(meet(sk1,complement(X_287))))) )],[refute_0_3692,refute_0_3693]) ).
cnf(refute_0_3695,plain,
meet(X_298,complement(meet(sk1,complement(X_287)))) = meet(X_298,join(complement(sk1),X_287)),
inference(resolve,[$cnf( $equal(complement(meet(sk1,complement(X_287))),join(complement(sk1),X_287)) )],[refute_0_3691,refute_0_3694]) ).
cnf(refute_0_3696,plain,
complement(join(complement(X_298),meet(sk1,complement(X_287)))) = meet(X_298,complement(meet(sk1,complement(X_287)))),
inference(subst,[],[refute_0_3654:[bind(X_279,$fot(X_298)),bind(X_281,$fot(meet(sk1,complement(X_287))))]]) ).
cnf(refute_0_3697,plain,
( complement(join(complement(X_298),meet(sk1,complement(X_287)))) != meet(X_298,complement(meet(sk1,complement(X_287))))
| meet(X_298,complement(meet(sk1,complement(X_287)))) != meet(X_298,join(complement(sk1),X_287))
| complement(join(complement(X_298),meet(sk1,complement(X_287)))) = meet(X_298,join(complement(sk1),X_287)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(complement(X_298),meet(sk1,complement(X_287)))))),bind(Y,$fot(meet(X_298,complement(meet(sk1,complement(X_287)))))),bind(Z,$fot(meet(X_298,join(complement(sk1),X_287))))]]) ).
cnf(refute_0_3698,plain,
( meet(X_298,complement(meet(sk1,complement(X_287)))) != meet(X_298,join(complement(sk1),X_287))
| complement(join(complement(X_298),meet(sk1,complement(X_287)))) = meet(X_298,join(complement(sk1),X_287)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_298),meet(sk1,complement(X_287)))),meet(X_298,complement(meet(sk1,complement(X_287))))) )],[refute_0_3696,refute_0_3697]) ).
cnf(refute_0_3699,plain,
complement(join(complement(X_298),meet(sk1,complement(X_287)))) = meet(X_298,join(complement(sk1),X_287)),
inference(resolve,[$cnf( $equal(meet(X_298,complement(meet(sk1,complement(X_287)))),meet(X_298,join(complement(sk1),X_287))) )],[refute_0_3695,refute_0_3698]) ).
cnf(refute_0_3700,plain,
( complement(join(complement(X_298),meet(sk1,complement(X_287)))) != meet(X_298,join(complement(sk1),X_287))
| meet(X_298,join(X_287,complement(sk1))) != complement(join(complement(X_298),meet(sk1,complement(X_287))))
| meet(X_298,join(X_287,complement(sk1))) = meet(X_298,join(complement(sk1),X_287)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_298,join(X_287,complement(sk1))),complement(join(complement(X_298),meet(sk1,complement(X_287))))) ),[1],$fot(meet(X_298,join(complement(sk1),X_287)))]]) ).
cnf(refute_0_3701,plain,
( meet(X_298,join(X_287,complement(sk1))) != complement(join(complement(X_298),meet(sk1,complement(X_287))))
| meet(X_298,join(X_287,complement(sk1))) = meet(X_298,join(complement(sk1),X_287)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_298),meet(sk1,complement(X_287)))),meet(X_298,join(complement(sk1),X_287))) )],[refute_0_3699,refute_0_3700]) ).
cnf(refute_0_3702,plain,
meet(X_298,join(X_287,complement(sk1))) = meet(X_298,join(complement(sk1),X_287)),
inference(resolve,[$cnf( $equal(meet(X_298,join(X_287,complement(sk1))),complement(join(complement(X_298),meet(sk1,complement(X_287))))) )],[refute_0_3681,refute_0_3701]) ).
cnf(refute_0_3703,plain,
( meet(X_298,join(X_287,complement(sk1))) != meet(X_298,join(complement(sk1),X_287))
| meet(X_298,join(complement(sk1),X_287)) = meet(X_298,join(X_287,complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_298,join(X_287,complement(sk1))))),bind(Y,$fot(meet(X_298,join(complement(sk1),X_287))))]]) ).
cnf(refute_0_3704,plain,
meet(X_298,join(complement(sk1),X_287)) = meet(X_298,join(X_287,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(X_298,join(X_287,complement(sk1))),meet(X_298,join(complement(sk1),X_287))) )],[refute_0_3702,refute_0_3703]) ).
cnf(refute_0_3705,plain,
meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)) = meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1))),
inference(subst,[],[refute_0_3704:[bind(X_287,$fot(zero)),bind(X_298,$fot(complement(converse(complement(converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_3706,plain,
( meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)) != meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1)))
| meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1))) != complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))
| meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)) = complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)))),bind(Y,$fot(meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1))))),bind(Z,$fot(complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_3707,plain,
( meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1))) != complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))
| meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)) = complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)),meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1)))) )],[refute_0_3705,refute_0_3706]) ).
cnf(refute_0_3708,plain,
meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)) = complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(zero,complement(sk1))),complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_3668,refute_0_3707]) ).
cnf(refute_0_3709,plain,
( complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))) != complement(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))
| meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)) != complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))
| meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)) = complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)))),bind(Y,$fot(complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))))),bind(Z,$fot(complement(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_3710,plain,
( complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))) != complement(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))
| meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)) = complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)),complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_3708,refute_0_3709]) ).
cnf(refute_0_3711,plain,
meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)) = complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))),
inference(resolve,[$cnf( $equal(complement(join(meet(sk1,complement(zero)),converse(complement(converse(meet(one,complement(sk1))))))),complement(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_3642,refute_0_3710]) ).
cnf(refute_0_3712,plain,
( complement(converse(complement(converse(meet(one,complement(sk1)))))) != meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero))
| meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)) != complement(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))
| complement(converse(complement(converse(meet(one,complement(sk1)))))) = complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(converse(meet(one,complement(sk1)))))),complement(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))) ),[0],$fot(meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)))]]) ).
cnf(refute_0_3713,plain,
( complement(converse(complement(converse(meet(one,complement(sk1)))))) != meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero))
| complement(converse(complement(converse(meet(one,complement(sk1)))))) = complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero)),complement(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_3711,refute_0_3712]) ).
cnf(refute_0_3714,plain,
complement(converse(complement(converse(meet(one,complement(sk1)))))) = complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(meet(one,complement(sk1)))))),meet(complement(converse(complement(converse(meet(one,complement(sk1)))))),join(complement(sk1),zero))) )],[refute_0_3618,refute_0_3713]) ).
cnf(refute_0_3715,plain,
( complement(converse(complement(converse(meet(one,complement(sk1)))))) != complement(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))
| complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))) = complement(converse(complement(converse(meet(one,complement(sk1)))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(complement(converse(meet(one,complement(sk1)))))))),bind(Y,$fot(complement(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_3716,plain,
complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))) = complement(converse(complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(meet(one,complement(sk1)))))),complement(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_3714,refute_0_3715]) ).
cnf(refute_0_3717,plain,
( complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))) != complement(converse(complement(converse(meet(one,complement(sk1))))))
| join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) != complement(complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))))
| join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) = complement(complement(converse(complement(converse(meet(one,complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))),complement(complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))))) ),[1,0],$fot(complement(converse(complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3718,plain,
( join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) != complement(complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))))
| join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) = complement(complement(converse(complement(converse(meet(one,complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))),complement(converse(complement(converse(meet(one,complement(sk1))))))) )],[refute_0_3716,refute_0_3717]) ).
cnf(refute_0_3719,plain,
join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) = complement(complement(converse(complement(converse(meet(one,complement(sk1))))))),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))),complement(complement(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))))) )],[refute_0_3458,refute_0_3718]) ).
cnf(refute_0_3720,plain,
complement(complement(converse(complement(converse(meet(one,complement(sk1))))))) = converse(complement(converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(converse(complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_3721,plain,
( complement(complement(converse(complement(converse(meet(one,complement(sk1))))))) != converse(complement(converse(meet(one,complement(sk1)))))
| join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) != complement(complement(converse(complement(converse(meet(one,complement(sk1)))))))
| join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) = converse(complement(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))),complement(complement(converse(complement(converse(meet(one,complement(sk1)))))))) ),[1],$fot(converse(complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3722,plain,
( join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) != complement(complement(converse(complement(converse(meet(one,complement(sk1)))))))
| join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) = converse(complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(converse(meet(one,complement(sk1))))))),converse(complement(converse(meet(one,complement(sk1)))))) )],[refute_0_3720,refute_0_3721]) ).
cnf(refute_0_3723,plain,
join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) = converse(complement(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))),complement(complement(converse(complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_3719,refute_0_3722]) ).
cnf(refute_0_3724,plain,
( join(converse(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) != top
| join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) != converse(complement(converse(meet(one,complement(sk1)))))
| join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),top) ),[0,0,0],$fot(converse(complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3725,plain,
( join(converse(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) != top
| join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = top ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))),converse(complement(converse(meet(one,complement(sk1)))))) )],[refute_0_3723,refute_0_3724]) ).
cnf(refute_0_3726,plain,
join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),top) )],[refute_0_3457,refute_0_3725]) ).
cnf(refute_0_3727,plain,
meet(converse(meet(one,complement(sk1))),complement(converse(sk1))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(converse(sk1)))),bind(X_7,$fot(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_3728,plain,
join(X_299,complement(X_298)) = join(complement(X_298),X_299),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_299)),bind(B,$fot(complement(X_298)))]]) ).
cnf(refute_0_3729,plain,
( join(X_299,complement(X_298)) != join(complement(X_298),X_299)
| join(complement(X_298),X_299) = join(X_299,complement(X_298)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_299,complement(X_298)))),bind(Y,$fot(join(complement(X_298),X_299)))]]) ).
cnf(refute_0_3730,plain,
join(complement(X_298),X_299) = join(X_299,complement(X_298)),
inference(resolve,[$cnf( $equal(join(X_299,complement(X_298)),join(complement(X_298),X_299)) )],[refute_0_3728,refute_0_3729]) ).
cnf(refute_0_3731,plain,
( join(complement(X_298),X_299) != join(X_299,complement(X_298))
| meet(X_298,complement(X_299)) != complement(join(complement(X_298),X_299))
| meet(X_298,complement(X_299)) = complement(join(X_299,complement(X_298))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_298,complement(X_299)),complement(join(complement(X_298),X_299))) ),[1,0],$fot(join(X_299,complement(X_298)))]]) ).
cnf(refute_0_3732,plain,
( meet(X_298,complement(X_299)) != complement(join(complement(X_298),X_299))
| meet(X_298,complement(X_299)) = complement(join(X_299,complement(X_298))) ),
inference(resolve,[$cnf( $equal(join(complement(X_298),X_299),join(X_299,complement(X_298))) )],[refute_0_3730,refute_0_3731]) ).
cnf(refute_0_3733,plain,
meet(X_298,complement(X_299)) = complement(join(X_299,complement(X_298))),
inference(resolve,[$cnf( $equal(meet(X_298,complement(X_299)),complement(join(complement(X_298),X_299))) )],[refute_0_3683,refute_0_3732]) ).
cnf(refute_0_3734,plain,
( meet(X_298,complement(X_299)) != complement(join(X_299,complement(X_298)))
| complement(join(X_299,complement(X_298))) = meet(X_298,complement(X_299)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_298,complement(X_299)))),bind(Y,$fot(complement(join(X_299,complement(X_298)))))]]) ).
cnf(refute_0_3735,plain,
complement(join(X_299,complement(X_298))) = meet(X_298,complement(X_299)),
inference(resolve,[$cnf( $equal(meet(X_298,complement(X_299)),complement(join(X_299,complement(X_298)))) )],[refute_0_3733,refute_0_3734]) ).
cnf(refute_0_3736,plain,
complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))) = meet(converse(meet(one,complement(sk1))),complement(converse(sk1))),
inference(subst,[],[refute_0_3735:[bind(X_298,$fot(converse(meet(one,complement(sk1))))),bind(X_299,$fot(converse(sk1)))]]) ).
cnf(refute_0_3737,plain,
( complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))) != meet(converse(meet(one,complement(sk1))),complement(converse(sk1)))
| meet(converse(meet(one,complement(sk1))),complement(converse(sk1))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))))),bind(Y,$fot(meet(converse(meet(one,complement(sk1))),complement(converse(sk1))))),bind(Z,$fot(meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_3738,plain,
( meet(converse(meet(one,complement(sk1))),complement(converse(sk1))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))),meet(converse(meet(one,complement(sk1))),complement(converse(sk1)))) )],[refute_0_3736,refute_0_3737]) ).
cnf(refute_0_3739,plain,
complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),complement(converse(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) )],[refute_0_3727,refute_0_3738]) ).
cnf(refute_0_3740,plain,
converse(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))) = join(converse(sk1),complement(converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_1350:[bind(A,$fot(complement(converse(meet(one,complement(sk1)))))),bind(X_11,$fot(sk1))]]) ).
cnf(refute_0_3741,plain,
converse(join(join(sk1,sk1),B)) = join(converse(join(sk1,sk1)),converse(B)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(join(sk1,sk1)))]]) ).
cnf(refute_0_3742,plain,
converse(join(sk1,sk1)) = meet(converse(join(sk1,sk1)),join(converse(sk1),complement(join(converse(sk1),complement(converse(join(sk1,sk1))))))),
inference(subst,[],[refute_0_2708:[bind(X_135,$fot(converse(sk1))),bind(X_136,$fot(converse(join(sk1,sk1))))]]) ).
cnf(refute_0_3743,plain,
converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) = converse(join(sk1,converse(complement(converse(join(sk1,sk1)))))),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(sk1)),bind(X_12,$fot(converse(complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_3744,plain,
converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) = converse(join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1)))))),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(converse(join(sk1,complement(one))))),bind(X_12,$fot(meet(one,complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_3745,plain,
top = join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))))))),
inference(subst,[],[refute_0_823:[bind(X_31,$fot(converse(join(sk1,sk1)))),bind(X_32,$fot(meet(one,complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_3746,plain,
one = join(meet(one,converse(join(sk1,sk1))),meet(one,complement(converse(join(sk1,sk1))))),
inference(subst,[],[refute_0_699:[bind(B,$fot(converse(join(sk1,sk1)))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_3747,plain,
complement(complement(converse(join(sk1,sk1)))) = meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(join(one,complement(converse(join(sk1,sk1))))))))),
inference(subst,[],[refute_0_1092:[bind(X_97,$fot(complement(converse(join(sk1,sk1)))))]]) ).
cnf(refute_0_3748,plain,
converse(converse(join(one,complement(converse(join(sk1,sk1)))))) = join(one,complement(converse(join(sk1,sk1)))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_3749,plain,
join(one,join(sk1,converse(complement(converse(join(sk1,sk1)))))) = join(one,converse(complement(converse(join(sk1,sk1))))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(converse(complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_3750,plain,
join(one,join(sk1,join(X_78,converse(complement(converse(join(sk1,X_78))))))) = join(one,join(X_78,converse(complement(converse(join(sk1,X_78)))))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(join(X_78,converse(complement(converse(join(sk1,X_78)))))))]]) ).
cnf(refute_0_3751,plain,
top = join(sk1,join(X_78,converse(complement(converse(join(sk1,X_78)))))),
inference(subst,[],[refute_0_823:[bind(X_31,$fot(sk1)),bind(X_32,$fot(X_78))]]) ).
cnf(refute_0_3752,plain,
( top != join(sk1,join(X_78,converse(complement(converse(join(sk1,X_78))))))
| join(sk1,join(X_78,converse(complement(converse(join(sk1,X_78)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,join(X_78,converse(complement(converse(join(sk1,X_78))))))))]]) ).
cnf(refute_0_3753,plain,
join(sk1,join(X_78,converse(complement(converse(join(sk1,X_78)))))) = top,
inference(resolve,[$cnf( $equal(top,join(sk1,join(X_78,converse(complement(converse(join(sk1,X_78))))))) )],[refute_0_3751,refute_0_3752]) ).
cnf(refute_0_3754,plain,
( join(one,join(sk1,join(X_78,converse(complement(converse(join(sk1,X_78))))))) != join(one,join(X_78,converse(complement(converse(join(sk1,X_78))))))
| join(sk1,join(X_78,converse(complement(converse(join(sk1,X_78)))))) != top
| join(one,top) = join(one,join(X_78,converse(complement(converse(join(sk1,X_78)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,join(X_78,converse(complement(converse(join(sk1,X_78))))))),join(one,join(X_78,converse(complement(converse(join(sk1,X_78))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_3755,plain,
( join(one,join(sk1,join(X_78,converse(complement(converse(join(sk1,X_78))))))) != join(one,join(X_78,converse(complement(converse(join(sk1,X_78))))))
| join(one,top) = join(one,join(X_78,converse(complement(converse(join(sk1,X_78)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(X_78,converse(complement(converse(join(sk1,X_78)))))),top) )],[refute_0_3753,refute_0_3754]) ).
cnf(refute_0_3756,plain,
join(one,top) = join(one,join(X_78,converse(complement(converse(join(sk1,X_78)))))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(X_78,converse(complement(converse(join(sk1,X_78))))))),join(one,join(X_78,converse(complement(converse(join(sk1,X_78))))))) )],[refute_0_3750,refute_0_3755]) ).
cnf(refute_0_3757,plain,
( join(one,top) != join(one,join(X_78,converse(complement(converse(join(sk1,X_78))))))
| join(one,top) != top
| top = join(one,join(X_78,converse(complement(converse(join(sk1,X_78)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,join(X_78,converse(complement(converse(join(sk1,X_78))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3758,plain,
( join(one,top) != join(one,join(X_78,converse(complement(converse(join(sk1,X_78))))))
| top = join(one,join(X_78,converse(complement(converse(join(sk1,X_78)))))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_903,refute_0_3757]) ).
cnf(refute_0_3759,plain,
top = join(one,join(X_78,converse(complement(converse(join(sk1,X_78)))))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,join(X_78,converse(complement(converse(join(sk1,X_78))))))) )],[refute_0_3756,refute_0_3758]) ).
cnf(refute_0_3760,plain,
top = join(one,join(sk1,converse(complement(converse(join(sk1,sk1)))))),
inference(subst,[],[refute_0_3759:[bind(X_78,$fot(sk1))]]) ).
cnf(refute_0_3761,plain,
( top != join(one,join(sk1,converse(complement(converse(join(sk1,sk1))))))
| join(one,join(sk1,converse(complement(converse(join(sk1,sk1)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(sk1,converse(complement(converse(join(sk1,sk1))))))))]]) ).
cnf(refute_0_3762,plain,
join(one,join(sk1,converse(complement(converse(join(sk1,sk1)))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(sk1,converse(complement(converse(join(sk1,sk1))))))) )],[refute_0_3760,refute_0_3761]) ).
cnf(refute_0_3763,plain,
( join(one,join(sk1,converse(complement(converse(join(sk1,sk1)))))) != join(one,converse(complement(converse(join(sk1,sk1)))))
| join(one,join(sk1,converse(complement(converse(join(sk1,sk1)))))) != top
| top = join(one,converse(complement(converse(join(sk1,sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,converse(complement(converse(join(sk1,sk1)))))),join(one,converse(complement(converse(join(sk1,sk1)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3764,plain,
( join(one,join(sk1,converse(complement(converse(join(sk1,sk1)))))) != join(one,converse(complement(converse(join(sk1,sk1)))))
| top = join(one,converse(complement(converse(join(sk1,sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,join(sk1,converse(complement(converse(join(sk1,sk1)))))),top) )],[refute_0_3762,refute_0_3763]) ).
cnf(refute_0_3765,plain,
top = join(one,converse(complement(converse(join(sk1,sk1))))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,converse(complement(converse(join(sk1,sk1)))))),join(one,converse(complement(converse(join(sk1,sk1)))))) )],[refute_0_3749,refute_0_3764]) ).
cnf(refute_0_3766,plain,
join(one,converse(complement(converse(join(sk1,sk1))))) = converse(join(one,complement(converse(join(sk1,sk1))))),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(complement(converse(join(sk1,sk1)))))]]) ).
cnf(refute_0_3767,plain,
( join(one,converse(complement(converse(join(sk1,sk1))))) != converse(join(one,complement(converse(join(sk1,sk1)))))
| top != join(one,converse(complement(converse(join(sk1,sk1)))))
| top = converse(join(one,complement(converse(join(sk1,sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,converse(complement(converse(join(sk1,sk1)))))) ),[1],$fot(converse(join(one,complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_3768,plain,
( top != join(one,converse(complement(converse(join(sk1,sk1)))))
| top = converse(join(one,complement(converse(join(sk1,sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(join(sk1,sk1))))),converse(join(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_3766,refute_0_3767]) ).
cnf(refute_0_3769,plain,
top = converse(join(one,complement(converse(join(sk1,sk1))))),
inference(resolve,[$cnf( $equal(top,join(one,converse(complement(converse(join(sk1,sk1)))))) )],[refute_0_3765,refute_0_3768]) ).
cnf(refute_0_3770,plain,
( top != converse(join(one,complement(converse(join(sk1,sk1)))))
| converse(join(one,complement(converse(join(sk1,sk1))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,complement(converse(join(sk1,sk1)))))))]]) ).
cnf(refute_0_3771,plain,
converse(join(one,complement(converse(join(sk1,sk1))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_3769,refute_0_3770]) ).
cnf(refute_0_3772,plain,
( converse(converse(join(one,complement(converse(join(sk1,sk1)))))) != join(one,complement(converse(join(sk1,sk1))))
| converse(join(one,complement(converse(join(sk1,sk1))))) != top
| converse(top) = join(one,complement(converse(join(sk1,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,complement(converse(join(sk1,sk1)))))),join(one,complement(converse(join(sk1,sk1))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_3773,plain,
( converse(converse(join(one,complement(converse(join(sk1,sk1)))))) != join(one,complement(converse(join(sk1,sk1))))
| converse(top) = join(one,complement(converse(join(sk1,sk1)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(sk1,sk1))))),top) )],[refute_0_3771,refute_0_3772]) ).
cnf(refute_0_3774,plain,
converse(top) = join(one,complement(converse(join(sk1,sk1)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(converse(join(sk1,sk1)))))),join(one,complement(converse(join(sk1,sk1))))) )],[refute_0_3748,refute_0_3773]) ).
cnf(refute_0_3775,plain,
( converse(top) != join(one,complement(converse(join(sk1,sk1))))
| converse(top) != top
| top = join(one,complement(converse(join(sk1,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(one,complement(converse(join(sk1,sk1))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3776,plain,
( converse(top) != join(one,complement(converse(join(sk1,sk1))))
| top = join(one,complement(converse(join(sk1,sk1)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_3775]) ).
cnf(refute_0_3777,plain,
top = join(one,complement(converse(join(sk1,sk1)))),
inference(resolve,[$cnf( $equal(converse(top),join(one,complement(converse(join(sk1,sk1))))) )],[refute_0_3774,refute_0_3776]) ).
cnf(refute_0_3778,plain,
( top != join(one,complement(converse(join(sk1,sk1))))
| join(one,complement(converse(join(sk1,sk1)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_3779,plain,
join(one,complement(converse(join(sk1,sk1)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(converse(join(sk1,sk1))))) )],[refute_0_3777,refute_0_3778]) ).
cnf(refute_0_3780,plain,
( complement(complement(converse(join(sk1,sk1)))) != meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(join(one,complement(converse(join(sk1,sk1)))))))))
| join(one,complement(converse(join(sk1,sk1)))) != top
| complement(complement(converse(join(sk1,sk1)))) = meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(join(sk1,sk1)))),meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(join(one,complement(converse(join(sk1,sk1)))))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_3781,plain,
( complement(complement(converse(join(sk1,sk1)))) != meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(join(one,complement(converse(join(sk1,sk1)))))))))
| complement(complement(converse(join(sk1,sk1)))) = meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(sk1,sk1)))),top) )],[refute_0_3779,refute_0_3780]) ).
cnf(refute_0_3782,plain,
complement(complement(converse(join(sk1,sk1)))) = meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(join(sk1,sk1)))),meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(join(one,complement(converse(join(sk1,sk1)))))))))) )],[refute_0_3747,refute_0_3781]) ).
cnf(refute_0_3783,plain,
complement(complement(converse(join(sk1,sk1)))) = converse(join(sk1,sk1)),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(converse(join(sk1,sk1))))]]) ).
cnf(refute_0_3784,plain,
( complement(complement(converse(join(sk1,sk1)))) != converse(join(sk1,sk1))
| complement(complement(converse(join(sk1,sk1)))) != meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top)))))
| converse(join(sk1,sk1)) = meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(join(sk1,sk1)))),meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top)))))) ),[0],$fot(converse(join(sk1,sk1)))]]) ).
cnf(refute_0_3785,plain,
( complement(complement(converse(join(sk1,sk1)))) != meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top)))))
| converse(join(sk1,sk1)) = meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(join(sk1,sk1)))),converse(join(sk1,sk1))) )],[refute_0_3783,refute_0_3784]) ).
cnf(refute_0_3786,plain,
meet(converse(join(sk1,sk1)),one) = meet(one,converse(join(sk1,sk1))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(converse(join(sk1,sk1))))]]) ).
cnf(refute_0_3787,plain,
meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))) = meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_3788,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))) != meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top)))))
| meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))) = meet(converse(join(sk1,sk1)),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))),meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_3789,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))) = meet(converse(join(sk1,sk1)),one) ),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))),meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top)))))) )],[refute_0_3787,refute_0_3788]) ).
cnf(refute_0_3790,plain,
meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))) = meet(converse(join(sk1,sk1)),one),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_962,refute_0_3789]) ).
cnf(refute_0_3791,plain,
meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) = meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_3792,plain,
( complement(complement(converse(join(sk1,sk1)))) != converse(join(sk1,sk1))
| meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) != meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top)))))
| meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) = meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))),meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top)))))) ),[1,0],$fot(converse(join(sk1,sk1)))]]) ).
cnf(refute_0_3793,plain,
( complement(complement(converse(join(sk1,sk1)))) != converse(join(sk1,sk1))
| meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) = meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))),meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top)))))) )],[refute_0_3791,refute_0_3792]) ).
cnf(refute_0_3794,plain,
meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) = meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(join(sk1,sk1)))),converse(join(sk1,sk1))) )],[refute_0_3783,refute_0_3793]) ).
cnf(refute_0_3795,plain,
( meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) != meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top)))))
| meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))) != meet(converse(join(sk1,sk1)),one)
| meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) = meet(converse(join(sk1,sk1)),one) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))))),bind(Z,$fot(meet(converse(join(sk1,sk1)),one)))]]) ).
cnf(refute_0_3796,plain,
( meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))) != meet(converse(join(sk1,sk1)),one)
| meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) = meet(converse(join(sk1,sk1)),one) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))),meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top)))))) )],[refute_0_3794,refute_0_3795]) ).
cnf(refute_0_3797,plain,
meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) = meet(converse(join(sk1,sk1)),one),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,sk1)),converse(join(one,complement(converse(top))))),meet(converse(join(sk1,sk1)),one)) )],[refute_0_3790,refute_0_3796]) ).
cnf(refute_0_3798,plain,
( meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) != meet(converse(join(sk1,sk1)),one)
| meet(converse(join(sk1,sk1)),one) != meet(one,converse(join(sk1,sk1)))
| meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) = meet(one,converse(join(sk1,sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(converse(join(sk1,sk1)),one))),bind(Z,$fot(meet(one,converse(join(sk1,sk1)))))]]) ).
cnf(refute_0_3799,plain,
( meet(converse(join(sk1,sk1)),one) != meet(one,converse(join(sk1,sk1)))
| meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) = meet(one,converse(join(sk1,sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))),meet(converse(join(sk1,sk1)),one)) )],[refute_0_3797,refute_0_3798]) ).
cnf(refute_0_3800,plain,
meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) = meet(one,converse(join(sk1,sk1))),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,sk1)),one),meet(one,converse(join(sk1,sk1)))) )],[refute_0_3786,refute_0_3799]) ).
cnf(refute_0_3801,plain,
( converse(join(sk1,sk1)) != meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top)))))
| meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))) != meet(one,converse(join(sk1,sk1)))
| converse(join(sk1,sk1)) = meet(one,converse(join(sk1,sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(sk1,sk1)),meet(one,converse(join(sk1,sk1)))) ),[0],$fot(meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_3802,plain,
( converse(join(sk1,sk1)) != meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top)))))
| converse(join(sk1,sk1)) = meet(one,converse(join(sk1,sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top))))),meet(one,converse(join(sk1,sk1)))) )],[refute_0_3800,refute_0_3801]) ).
cnf(refute_0_3803,plain,
( complement(complement(converse(join(sk1,sk1)))) != meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top)))))
| converse(join(sk1,sk1)) = meet(one,converse(join(sk1,sk1))) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,sk1)),meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top)))))) )],[refute_0_3785,refute_0_3802]) ).
cnf(refute_0_3804,plain,
converse(join(sk1,sk1)) = meet(one,converse(join(sk1,sk1))),
inference(resolve,[$cnf( $equal(complement(complement(converse(join(sk1,sk1)))),meet(complement(complement(converse(join(sk1,sk1)))),converse(join(one,complement(converse(top)))))) )],[refute_0_3782,refute_0_3803]) ).
cnf(refute_0_3805,plain,
( converse(join(sk1,sk1)) != meet(one,converse(join(sk1,sk1)))
| meet(one,converse(join(sk1,sk1))) = converse(join(sk1,sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(sk1,sk1)))),bind(Y,$fot(meet(one,converse(join(sk1,sk1)))))]]) ).
cnf(refute_0_3806,plain,
meet(one,converse(join(sk1,sk1))) = converse(join(sk1,sk1)),
inference(resolve,[$cnf( $equal(converse(join(sk1,sk1)),meet(one,converse(join(sk1,sk1)))) )],[refute_0_3804,refute_0_3805]) ).
cnf(refute_0_3807,plain,
( meet(one,converse(join(sk1,sk1))) != converse(join(sk1,sk1))
| one != join(meet(one,converse(join(sk1,sk1))),meet(one,complement(converse(join(sk1,sk1)))))
| one = join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(join(sk1,sk1))),meet(one,complement(converse(join(sk1,sk1)))))) ),[1,0],$fot(converse(join(sk1,sk1)))]]) ).
cnf(refute_0_3808,plain,
( one != join(meet(one,converse(join(sk1,sk1))),meet(one,complement(converse(join(sk1,sk1)))))
| one = join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1))))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(join(sk1,sk1))),converse(join(sk1,sk1))) )],[refute_0_3806,refute_0_3807]) ).
cnf(refute_0_3809,plain,
one = join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(join(sk1,sk1))),meet(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_3746,refute_0_3808]) ).
cnf(refute_0_3810,plain,
( one != join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))
| join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))))]]) ).
cnf(refute_0_3811,plain,
join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_3809,refute_0_3810]) ).
cnf(refute_0_3812,plain,
( join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1))))) != one
| top != join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1))))))))))
| top = join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1))))))))))) ),[1,1,1,0,0,0],$fot(one)]]) ).
cnf(refute_0_3813,plain,
( top != join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1))))))))))
| top = join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1))))),one) )],[refute_0_3811,refute_0_3812]) ).
cnf(refute_0_3814,plain,
top = join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))),
inference(resolve,[$cnf( $equal(top,join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1))))))))))) )],[refute_0_3745,refute_0_3813]) ).
cnf(refute_0_3815,plain,
join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,join(sk1,complement(one))))) = join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(join(sk1,join(sk1,complement(one)))))),bind(B,$fot(meet(one,complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_3816,plain,
join(sk1,complement(converse(one))) = join(sk1,complement(converse(one))),
introduced(tautology,[refl,[$fot(join(sk1,complement(converse(one))))]]) ).
cnf(refute_0_3817,plain,
( complement(converse(one)) != complement(one)
| join(sk1,complement(converse(one))) != join(sk1,complement(converse(one)))
| join(sk1,complement(converse(one))) = join(sk1,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(converse(one))),join(sk1,complement(converse(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_3818,plain,
( complement(converse(one)) != complement(one)
| join(sk1,complement(converse(one))) = join(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(one))),join(sk1,complement(converse(one)))) )],[refute_0_3816,refute_0_3817]) ).
cnf(refute_0_3819,plain,
join(sk1,complement(converse(one))) = join(sk1,complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(one)) )],[refute_0_1729,refute_0_3818]) ).
cnf(refute_0_3820,plain,
join(sk1,join(sk1,complement(converse(one)))) = join(sk1,join(sk1,complement(converse(one)))),
introduced(tautology,[refl,[$fot(join(sk1,join(sk1,complement(converse(one)))))]]) ).
cnf(refute_0_3821,plain,
( join(sk1,complement(converse(one))) != join(sk1,complement(one))
| join(sk1,join(sk1,complement(converse(one)))) != join(sk1,join(sk1,complement(converse(one))))
| join(sk1,join(sk1,complement(converse(one)))) = join(sk1,join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk1,complement(converse(one)))),join(sk1,join(sk1,complement(converse(one))))) ),[1,1],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_3822,plain,
( join(sk1,complement(converse(one))) != join(sk1,complement(one))
| join(sk1,join(sk1,complement(converse(one)))) = join(sk1,join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,complement(converse(one)))),join(sk1,join(sk1,complement(converse(one))))) )],[refute_0_3820,refute_0_3821]) ).
cnf(refute_0_3823,plain,
join(sk1,join(sk1,complement(converse(one)))) = join(sk1,join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(one))),join(sk1,complement(one))) )],[refute_0_3819,refute_0_3822]) ).
cnf(refute_0_3824,plain,
converse(join(sk1,join(sk1,complement(converse(one))))) = converse(join(sk1,join(sk1,complement(converse(one))))),
introduced(tautology,[refl,[$fot(converse(join(sk1,join(sk1,complement(converse(one))))))]]) ).
cnf(refute_0_3825,plain,
( converse(join(sk1,join(sk1,complement(converse(one))))) != converse(join(sk1,join(sk1,complement(converse(one)))))
| join(sk1,join(sk1,complement(converse(one)))) != join(sk1,join(sk1,complement(one)))
| converse(join(sk1,join(sk1,complement(converse(one))))) = converse(join(sk1,join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,join(sk1,complement(converse(one))))),converse(join(sk1,join(sk1,complement(converse(one)))))) ),[1,0],$fot(join(sk1,join(sk1,complement(one))))]]) ).
cnf(refute_0_3826,plain,
( join(sk1,join(sk1,complement(converse(one)))) != join(sk1,join(sk1,complement(one)))
| converse(join(sk1,join(sk1,complement(converse(one))))) = converse(join(sk1,join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(sk1,complement(converse(one))))),converse(join(sk1,join(sk1,complement(converse(one)))))) )],[refute_0_3824,refute_0_3825]) ).
cnf(refute_0_3827,plain,
converse(join(sk1,join(sk1,complement(converse(one))))) = converse(join(sk1,join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,complement(converse(one)))),join(sk1,join(sk1,complement(one)))) )],[refute_0_3823,refute_0_3826]) ).
cnf(refute_0_3828,plain,
converse(join(sk1,join(complement(converse(one)),sk1))) = converse(join(sk1,join(sk1,complement(converse(one))))),
inference(subst,[],[refute_0_1370:[bind(X_12,$fot(sk1)),bind(X_31,$fot(sk1)),bind(X_32,$fot(complement(converse(one))))]]) ).
cnf(refute_0_3829,plain,
converse(join(complement(converse(one)),join(sk1,sk1))) = converse(join(sk1,join(complement(converse(one)),sk1))),
inference(subst,[],[refute_0_1370:[bind(X_12,$fot(sk1)),bind(X_31,$fot(complement(converse(one)))),bind(X_32,$fot(sk1))]]) ).
cnf(refute_0_3830,plain,
( converse(join(complement(converse(one)),join(sk1,sk1))) != converse(join(sk1,join(complement(converse(one)),sk1)))
| converse(join(sk1,join(complement(converse(one)),sk1))) != converse(join(sk1,join(sk1,complement(converse(one)))))
| converse(join(complement(converse(one)),join(sk1,sk1))) = converse(join(sk1,join(sk1,complement(converse(one))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(complement(converse(one)),join(sk1,sk1))))),bind(Y,$fot(converse(join(sk1,join(complement(converse(one)),sk1))))),bind(Z,$fot(converse(join(sk1,join(sk1,complement(converse(one)))))))]]) ).
cnf(refute_0_3831,plain,
( converse(join(sk1,join(complement(converse(one)),sk1))) != converse(join(sk1,join(sk1,complement(converse(one)))))
| converse(join(complement(converse(one)),join(sk1,sk1))) = converse(join(sk1,join(sk1,complement(converse(one))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(one)),join(sk1,sk1))),converse(join(sk1,join(complement(converse(one)),sk1)))) )],[refute_0_3829,refute_0_3830]) ).
cnf(refute_0_3832,plain,
converse(join(complement(converse(one)),join(sk1,sk1))) = converse(join(sk1,join(sk1,complement(converse(one))))),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(complement(converse(one)),sk1))),converse(join(sk1,join(sk1,complement(converse(one)))))) )],[refute_0_3828,refute_0_3831]) ).
cnf(refute_0_3833,plain,
( converse(join(complement(converse(one)),join(sk1,sk1))) != converse(join(sk1,join(sk1,complement(converse(one)))))
| converse(join(sk1,join(sk1,complement(converse(one))))) != converse(join(sk1,join(sk1,complement(one))))
| converse(join(complement(converse(one)),join(sk1,sk1))) = converse(join(sk1,join(sk1,complement(one)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(complement(converse(one)),join(sk1,sk1))))),bind(Y,$fot(converse(join(sk1,join(sk1,complement(converse(one))))))),bind(Z,$fot(converse(join(sk1,join(sk1,complement(one))))))]]) ).
cnf(refute_0_3834,plain,
( converse(join(sk1,join(sk1,complement(converse(one))))) != converse(join(sk1,join(sk1,complement(one))))
| converse(join(complement(converse(one)),join(sk1,sk1))) = converse(join(sk1,join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(one)),join(sk1,sk1))),converse(join(sk1,join(sk1,complement(converse(one)))))) )],[refute_0_3832,refute_0_3833]) ).
cnf(refute_0_3835,plain,
converse(join(complement(converse(one)),join(sk1,sk1))) = converse(join(sk1,join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(sk1,complement(converse(one))))),converse(join(sk1,join(sk1,complement(one))))) )],[refute_0_3827,refute_0_3834]) ).
cnf(refute_0_3836,plain,
join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))))]]) ).
cnf(refute_0_3837,plain,
( converse(join(complement(converse(one)),join(sk1,sk1))) != converse(join(sk1,join(sk1,complement(one))))
| join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) != join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))
| join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))),join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))) ),[1,1],$fot(converse(join(sk1,join(sk1,complement(one)))))]]) ).
cnf(refute_0_3838,plain,
( converse(join(complement(converse(one)),join(sk1,sk1))) != converse(join(sk1,join(sk1,complement(one))))
| join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))),join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))) )],[refute_0_3836,refute_0_3837]) ).
cnf(refute_0_3839,plain,
join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(one)),join(sk1,sk1))),converse(join(sk1,join(sk1,complement(one))))) )],[refute_0_3835,refute_0_3838]) ).
cnf(refute_0_3840,plain,
( join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) != join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,join(sk1,complement(one)))))
| join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,join(sk1,complement(one))))) != join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))
| join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) = join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))))),bind(Y,$fot(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,join(sk1,complement(one))))))),bind(Z,$fot(join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))))]]) ).
cnf(refute_0_3841,plain,
( join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,join(sk1,complement(one))))) != join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))
| join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) = join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))),join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,join(sk1,complement(one)))))) )],[refute_0_3839,refute_0_3840]) ).
cnf(refute_0_3842,plain,
join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) = join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,join(sk1,complement(one))))),join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_3815,refute_0_3841]) ).
cnf(refute_0_3843,plain,
join(converse(join(complement(converse(one)),join(sk1,sk1))),meet(one,complement(converse(join(sk1,sk1))))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(one,complement(converse(join(sk1,sk1)))))),bind(B,$fot(converse(join(complement(converse(one)),join(sk1,sk1)))))]]) ).
cnf(refute_0_3844,plain,
converse(join(A,join(X_14,converse(X_13)))) = join(converse(A),converse(join(X_14,converse(X_13)))),
inference(subst,[],[converse_additivity_9:[bind(B,$fot(join(X_14,converse(X_13))))]]) ).
cnf(refute_0_3845,plain,
converse(join(X_14,converse(X_13))) = join(converse(X_14),X_13),
inference(subst,[],[refute_0_1350:[bind(A,$fot(X_13)),bind(X_11,$fot(X_14))]]) ).
cnf(refute_0_3846,plain,
( converse(join(A,join(X_14,converse(X_13)))) != join(converse(A),converse(join(X_14,converse(X_13))))
| converse(join(X_14,converse(X_13))) != join(converse(X_14),X_13)
| converse(join(A,join(X_14,converse(X_13)))) = join(converse(A),join(converse(X_14),X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(A,join(X_14,converse(X_13)))),join(converse(A),converse(join(X_14,converse(X_13))))) ),[1,1],$fot(join(converse(X_14),X_13))]]) ).
cnf(refute_0_3847,plain,
( converse(join(A,join(X_14,converse(X_13)))) != join(converse(A),converse(join(X_14,converse(X_13))))
| converse(join(A,join(X_14,converse(X_13)))) = join(converse(A),join(converse(X_14),X_13)) ),
inference(resolve,[$cnf( $equal(converse(join(X_14,converse(X_13))),join(converse(X_14),X_13)) )],[refute_0_3845,refute_0_3846]) ).
cnf(refute_0_3848,plain,
converse(join(A,join(X_14,converse(X_13)))) = join(converse(A),join(converse(X_14),X_13)),
inference(resolve,[$cnf( $equal(converse(join(A,join(X_14,converse(X_13)))),join(converse(A),converse(join(X_14,converse(X_13))))) )],[refute_0_3844,refute_0_3847]) ).
cnf(refute_0_3849,plain,
converse(join(A,join(X_14,converse(X_13)))) = join(converse(join(A,X_14)),X_13),
inference(subst,[],[refute_0_1357:[bind(A,$fot(X_13)),bind(X_31,$fot(A)),bind(X_32,$fot(X_14))]]) ).
cnf(refute_0_3850,plain,
( converse(join(A,join(X_14,converse(X_13)))) != join(converse(A),join(converse(X_14),X_13))
| converse(join(A,join(X_14,converse(X_13)))) != join(converse(join(A,X_14)),X_13)
| join(converse(join(A,X_14)),X_13) = join(converse(A),join(converse(X_14),X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(A,join(X_14,converse(X_13)))),join(converse(A),join(converse(X_14),X_13))) ),[0],$fot(join(converse(join(A,X_14)),X_13))]]) ).
cnf(refute_0_3851,plain,
( converse(join(A,join(X_14,converse(X_13)))) != join(converse(A),join(converse(X_14),X_13))
| join(converse(join(A,X_14)),X_13) = join(converse(A),join(converse(X_14),X_13)) ),
inference(resolve,[$cnf( $equal(converse(join(A,join(X_14,converse(X_13)))),join(converse(join(A,X_14)),X_13)) )],[refute_0_3849,refute_0_3850]) ).
cnf(refute_0_3852,plain,
join(converse(join(A,X_14)),X_13) = join(converse(A),join(converse(X_14),X_13)),
inference(resolve,[$cnf( $equal(converse(join(A,join(X_14,converse(X_13)))),join(converse(A),join(converse(X_14),X_13))) )],[refute_0_3848,refute_0_3851]) ).
cnf(refute_0_3853,plain,
( join(converse(join(A,X_14)),X_13) != join(converse(A),join(converse(X_14),X_13))
| join(converse(A),join(converse(X_14),X_13)) = join(converse(join(A,X_14)),X_13) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(converse(join(A,X_14)),X_13))),bind(Y,$fot(join(converse(A),join(converse(X_14),X_13))))]]) ).
cnf(refute_0_3854,plain,
join(converse(A),join(converse(X_14),X_13)) = join(converse(join(A,X_14)),X_13),
inference(resolve,[$cnf( $equal(join(converse(join(A,X_14)),X_13),join(converse(A),join(converse(X_14),X_13))) )],[refute_0_3852,refute_0_3853]) ).
cnf(refute_0_3855,plain,
join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))) = join(converse(join(complement(converse(one)),join(sk1,sk1))),meet(one,complement(converse(join(sk1,sk1))))),
inference(subst,[],[refute_0_3854:[bind(A,$fot(complement(converse(one)))),bind(X_13,$fot(meet(one,complement(converse(join(sk1,sk1)))))),bind(X_14,$fot(join(sk1,sk1)))]]) ).
cnf(refute_0_3856,plain,
( join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))) != join(converse(join(complement(converse(one)),join(sk1,sk1))),meet(one,complement(converse(join(sk1,sk1)))))
| join(converse(join(complement(converse(one)),join(sk1,sk1))),meet(one,complement(converse(join(sk1,sk1))))) != join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))
| join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))))),bind(Y,$fot(join(converse(join(complement(converse(one)),join(sk1,sk1))),meet(one,complement(converse(join(sk1,sk1))))))),bind(Z,$fot(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))))]]) ).
cnf(refute_0_3857,plain,
( join(converse(join(complement(converse(one)),join(sk1,sk1))),meet(one,complement(converse(join(sk1,sk1))))) != join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))
| join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))),join(converse(join(complement(converse(one)),join(sk1,sk1))),meet(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_3855,refute_0_3856]) ).
cnf(refute_0_3858,plain,
join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))),
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(one)),join(sk1,sk1))),meet(one,complement(converse(join(sk1,sk1))))),join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))) )],[refute_0_3843,refute_0_3857]) ).
cnf(refute_0_3859,plain,
join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1)))))) = join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))),
inference(subst,[],[refute_0_346:[bind(X_31,$fot(converse(complement(converse(one))))),bind(X_32,$fot(converse(join(sk1,sk1)))),bind(X_33,$fot(meet(one,complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_3860,plain,
( join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))) != join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))
| join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1)))))) != join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1))))))
| join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1)))))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1)))))))),bind(Y,$fot(join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))))),bind(Z,$fot(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))))]]) ).
cnf(refute_0_3861,plain,
( join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))) != join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))
| join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1)))))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1)))))),join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1))))))) )],[refute_0_3859,refute_0_3860]) ).
cnf(refute_0_3862,plain,
join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1)))))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),join(converse(join(sk1,sk1)),meet(one,complement(converse(join(sk1,sk1)))))),join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))) )],[refute_0_3858,refute_0_3861]) ).
cnf(refute_0_3863,plain,
join(X_33,X_32) = join(X_32,X_33),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_33)),bind(B,$fot(X_32))]]) ).
cnf(refute_0_3864,plain,
( join(X_33,X_32) != join(X_32,X_33)
| join(X_32,X_33) = join(X_33,X_32) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_33,X_32))),bind(Y,$fot(join(X_32,X_33)))]]) ).
cnf(refute_0_3865,plain,
join(X_32,X_33) = join(X_33,X_32),
inference(resolve,[$cnf( $equal(join(X_33,X_32),join(X_32,X_33)) )],[refute_0_3863,refute_0_3864]) ).
cnf(refute_0_3866,plain,
( join(X_31,join(X_32,X_33)) != join(join(X_31,X_32),X_33)
| join(X_32,X_33) != join(X_33,X_32)
| join(X_31,join(X_33,X_32)) = join(join(X_31,X_32),X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,join(X_32,X_33)),join(join(X_31,X_32),X_33)) ),[0,1],$fot(join(X_33,X_32))]]) ).
cnf(refute_0_3867,plain,
( join(X_31,join(X_32,X_33)) != join(join(X_31,X_32),X_33)
| join(X_31,join(X_33,X_32)) = join(join(X_31,X_32),X_33) ),
inference(resolve,[$cnf( $equal(join(X_32,X_33),join(X_33,X_32)) )],[refute_0_3865,refute_0_3866]) ).
cnf(refute_0_3868,plain,
join(X_31,join(X_33,X_32)) = join(join(X_31,X_32),X_33),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,X_33)),join(join(X_31,X_32),X_33)) )],[refute_0_334,refute_0_3867]) ).
cnf(refute_0_3869,plain,
join(join(X_31,X_32),X_33) = join(X_31,join(X_32,X_33)),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_31)),bind(B,$fot(X_32)),bind(C,$fot(X_33))]]) ).
cnf(refute_0_3870,plain,
( join(X_31,join(X_33,X_32)) != join(join(X_31,X_32),X_33)
| join(join(X_31,X_32),X_33) != join(X_31,join(X_32,X_33))
| join(X_31,join(X_33,X_32)) = join(X_31,join(X_32,X_33)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_31,join(X_33,X_32)),join(X_31,join(X_32,X_33))) ),[0],$fot(join(join(X_31,X_32),X_33))]]) ).
cnf(refute_0_3871,plain,
( join(X_31,join(X_33,X_32)) != join(join(X_31,X_32),X_33)
| join(X_31,join(X_33,X_32)) = join(X_31,join(X_32,X_33)) ),
inference(resolve,[$cnf( $equal(join(join(X_31,X_32),X_33),join(X_31,join(X_32,X_33))) )],[refute_0_3869,refute_0_3870]) ).
cnf(refute_0_3872,plain,
join(X_31,join(X_33,X_32)) = join(X_31,join(X_32,X_33)),
inference(resolve,[$cnf( $equal(join(X_31,join(X_33,X_32)),join(join(X_31,X_32),X_33)) )],[refute_0_3868,refute_0_3871]) ).
cnf(refute_0_3873,plain,
( join(X_31,join(X_33,X_32)) != join(X_31,join(X_32,X_33))
| join(X_31,join(X_32,X_33)) = join(X_31,join(X_33,X_32)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_31,join(X_33,X_32)))),bind(Y,$fot(join(X_31,join(X_32,X_33))))]]) ).
cnf(refute_0_3874,plain,
join(X_31,join(X_32,X_33)) = join(X_31,join(X_33,X_32)),
inference(resolve,[$cnf( $equal(join(X_31,join(X_33,X_32)),join(X_31,join(X_32,X_33))) )],[refute_0_3872,refute_0_3873]) ).
cnf(refute_0_3875,plain,
join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))) = join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1)))))),
inference(subst,[],[refute_0_3874:[bind(X_31,$fot(converse(join(sk1,sk1)))),bind(X_32,$fot(meet(one,complement(converse(join(sk1,sk1)))))),bind(X_33,$fot(converse(complement(converse(one)))))]]) ).
cnf(refute_0_3876,plain,
( join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1)))))) != join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))
| join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))) != join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1))))))
| join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))))),bind(Y,$fot(join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1)))))))),bind(Z,$fot(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))))]]) ).
cnf(refute_0_3877,plain,
( join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1)))))) != join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))
| join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))),join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1))))))) )],[refute_0_3875,refute_0_3876]) ).
cnf(refute_0_3878,plain,
join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))) = join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,sk1)),join(converse(complement(converse(one))),meet(one,complement(converse(join(sk1,sk1)))))),join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))) )],[refute_0_3862,refute_0_3877]) ).
cnf(refute_0_3879,plain,
( join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))) != join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))
| join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) != join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))
| join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))) = join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))))),bind(Y,$fot(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))))),bind(Z,$fot(join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))))]]) ).
cnf(refute_0_3880,plain,
( join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))) != join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))
| join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))) = join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))),join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1))))) )],[refute_0_3878,refute_0_3879]) ).
cnf(refute_0_3881,plain,
join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))) = join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(complement(converse(one)),join(sk1,sk1)))),join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_3842,refute_0_3880]) ).
cnf(refute_0_3882,plain,
( join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))) != join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))
| top != join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one)))))
| top = join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one)))))) ),[1],$fot(join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_3883,plain,
( top != join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one)))))
| top = join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one))))),join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_3881,refute_0_3882]) ).
cnf(refute_0_3884,plain,
top = join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))),
inference(resolve,[$cnf( $equal(top,join(converse(join(sk1,sk1)),join(meet(one,complement(converse(join(sk1,sk1)))),converse(complement(converse(one)))))) )],[refute_0_3814,refute_0_3883]) ).
cnf(refute_0_3885,plain,
meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))))),
inference(subst,[],[refute_0_2708:[bind(X_135,$fot(sk1)),bind(X_136,$fot(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_3886,plain,
one = join(meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one)))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(one)),bind(B,$fot(join(sk1,complement(join(sk1,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_3887,plain,
join(sk1,complement(join(sk1,join(sk1,complement(one))))) = meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one))))))),
inference(subst,[],[refute_0_1000:[bind(X_118,$fot(sk1)),bind(X_119,$fot(join(sk1,complement(join(sk1,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_3888,plain,
one = join(meet(one,join(sk1,sk1)),complement(join(complement(one),join(sk1,sk1)))),
inference(subst,[],[refute_0_152:[bind(A,$fot(one)),bind(B,$fot(join(sk1,sk1)))]]) ).
cnf(refute_0_3889,plain,
join(sk1,sk1) = meet(join(sk1,sk1),converse(join(one,complement(converse(join(one,complement(join(sk1,sk1)))))))),
inference(subst,[],[refute_0_894:[bind(X_97,$fot(join(sk1,sk1)))]]) ).
cnf(refute_0_3890,plain,
join(one,join(sk1,complement(join(sk1,sk1)))) = join(one,complement(join(sk1,sk1))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(complement(join(sk1,sk1))))]]) ).
cnf(refute_0_3891,plain,
join(one,join(sk1,join(X_38,complement(join(sk1,X_38))))) = join(one,join(X_38,complement(join(sk1,X_38)))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(join(X_38,complement(join(sk1,X_38)))))]]) ).
cnf(refute_0_3892,plain,
top = join(sk1,join(X_38,complement(join(sk1,X_38)))),
inference(subst,[],[refute_0_297:[bind(X_31,$fot(sk1)),bind(X_32,$fot(X_38))]]) ).
cnf(refute_0_3893,plain,
( top != join(sk1,join(X_38,complement(join(sk1,X_38))))
| join(sk1,join(X_38,complement(join(sk1,X_38)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,join(X_38,complement(join(sk1,X_38))))))]]) ).
cnf(refute_0_3894,plain,
join(sk1,join(X_38,complement(join(sk1,X_38)))) = top,
inference(resolve,[$cnf( $equal(top,join(sk1,join(X_38,complement(join(sk1,X_38))))) )],[refute_0_3892,refute_0_3893]) ).
cnf(refute_0_3895,plain,
( join(one,join(sk1,join(X_38,complement(join(sk1,X_38))))) != join(one,join(X_38,complement(join(sk1,X_38))))
| join(sk1,join(X_38,complement(join(sk1,X_38)))) != top
| join(one,top) = join(one,join(X_38,complement(join(sk1,X_38)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,join(X_38,complement(join(sk1,X_38))))),join(one,join(X_38,complement(join(sk1,X_38))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_3896,plain,
( join(one,join(sk1,join(X_38,complement(join(sk1,X_38))))) != join(one,join(X_38,complement(join(sk1,X_38))))
| join(one,top) = join(one,join(X_38,complement(join(sk1,X_38)))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(X_38,complement(join(sk1,X_38)))),top) )],[refute_0_3894,refute_0_3895]) ).
cnf(refute_0_3897,plain,
join(one,top) = join(one,join(X_38,complement(join(sk1,X_38)))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(X_38,complement(join(sk1,X_38))))),join(one,join(X_38,complement(join(sk1,X_38))))) )],[refute_0_3891,refute_0_3896]) ).
cnf(refute_0_3898,plain,
join(one,top) = join(one,join(sk1,complement(join(sk1,sk1)))),
inference(subst,[],[refute_0_3897:[bind(X_38,$fot(sk1))]]) ).
cnf(refute_0_3899,plain,
( join(one,top) != join(one,join(sk1,complement(join(sk1,sk1))))
| join(one,join(sk1,complement(join(sk1,sk1)))) = join(one,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,top))),bind(Y,$fot(join(one,join(sk1,complement(join(sk1,sk1))))))]]) ).
cnf(refute_0_3900,plain,
join(one,join(sk1,complement(join(sk1,sk1)))) = join(one,top),
inference(resolve,[$cnf( $equal(join(one,top),join(one,join(sk1,complement(join(sk1,sk1))))) )],[refute_0_3898,refute_0_3899]) ).
cnf(refute_0_3901,plain,
( join(one,join(sk1,complement(join(sk1,sk1)))) != join(one,complement(join(sk1,sk1)))
| join(one,join(sk1,complement(join(sk1,sk1)))) != join(one,top)
| join(one,top) = join(one,complement(join(sk1,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,complement(join(sk1,sk1)))),join(one,complement(join(sk1,sk1)))) ),[0],$fot(join(one,top))]]) ).
cnf(refute_0_3902,plain,
( join(one,join(sk1,complement(join(sk1,sk1)))) != join(one,complement(join(sk1,sk1)))
| join(one,top) = join(one,complement(join(sk1,sk1))) ),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(join(sk1,sk1)))),join(one,top)) )],[refute_0_3900,refute_0_3901]) ).
cnf(refute_0_3903,plain,
join(one,top) = join(one,complement(join(sk1,sk1))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(join(sk1,sk1)))),join(one,complement(join(sk1,sk1)))) )],[refute_0_3890,refute_0_3902]) ).
cnf(refute_0_3904,plain,
( join(one,top) != join(one,complement(join(sk1,sk1)))
| join(one,top) != top
| top = join(one,complement(join(sk1,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,complement(join(sk1,sk1)))) ),[0],$fot(top)]]) ).
cnf(refute_0_3905,plain,
( join(one,top) != join(one,complement(join(sk1,sk1)))
| top = join(one,complement(join(sk1,sk1))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_903,refute_0_3904]) ).
cnf(refute_0_3906,plain,
top = join(one,complement(join(sk1,sk1))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(join(sk1,sk1)))) )],[refute_0_3903,refute_0_3905]) ).
cnf(refute_0_3907,plain,
( top != join(one,complement(join(sk1,sk1)))
| join(one,complement(join(sk1,sk1))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(join(sk1,sk1)))))]]) ).
cnf(refute_0_3908,plain,
join(one,complement(join(sk1,sk1))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(join(sk1,sk1)))) )],[refute_0_3906,refute_0_3907]) ).
cnf(refute_0_3909,plain,
( join(one,complement(join(sk1,sk1))) != top
| join(sk1,sk1) != meet(join(sk1,sk1),converse(join(one,complement(converse(join(one,complement(join(sk1,sk1))))))))
| join(sk1,sk1) = meet(join(sk1,sk1),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,sk1),meet(join(sk1,sk1),converse(join(one,complement(converse(join(one,complement(join(sk1,sk1))))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_3910,plain,
( join(sk1,sk1) != meet(join(sk1,sk1),converse(join(one,complement(converse(join(one,complement(join(sk1,sk1))))))))
| join(sk1,sk1) = meet(join(sk1,sk1),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(sk1,sk1))),top) )],[refute_0_3908,refute_0_3909]) ).
cnf(refute_0_3911,plain,
join(sk1,sk1) = meet(join(sk1,sk1),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(sk1,sk1),meet(join(sk1,sk1),converse(join(one,complement(converse(join(one,complement(join(sk1,sk1))))))))) )],[refute_0_3889,refute_0_3910]) ).
cnf(refute_0_3912,plain,
meet(join(sk1,sk1),one) = meet(one,join(sk1,sk1)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(join(sk1,sk1)))]]) ).
cnf(refute_0_3913,plain,
meet(join(sk1,sk1),converse(join(one,complement(converse(top))))) = meet(join(sk1,sk1),converse(join(one,complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,sk1),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_3914,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(join(sk1,sk1),converse(join(one,complement(converse(top))))) != meet(join(sk1,sk1),converse(join(one,complement(converse(top)))))
| meet(join(sk1,sk1),converse(join(one,complement(converse(top))))) = meet(join(sk1,sk1),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,sk1),converse(join(one,complement(converse(top))))),meet(join(sk1,sk1),converse(join(one,complement(converse(top)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_3915,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(join(sk1,sk1),converse(join(one,complement(converse(top))))) = meet(join(sk1,sk1),one) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,sk1),converse(join(one,complement(converse(top))))),meet(join(sk1,sk1),converse(join(one,complement(converse(top)))))) )],[refute_0_3913,refute_0_3914]) ).
cnf(refute_0_3916,plain,
meet(join(sk1,sk1),converse(join(one,complement(converse(top))))) = meet(join(sk1,sk1),one),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_962,refute_0_3915]) ).
cnf(refute_0_3917,plain,
( meet(join(sk1,sk1),converse(join(one,complement(converse(top))))) != meet(join(sk1,sk1),one)
| meet(join(sk1,sk1),one) != meet(one,join(sk1,sk1))
| meet(join(sk1,sk1),converse(join(one,complement(converse(top))))) = meet(one,join(sk1,sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(sk1,sk1),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(join(sk1,sk1),one))),bind(Z,$fot(meet(one,join(sk1,sk1))))]]) ).
cnf(refute_0_3918,plain,
( meet(join(sk1,sk1),one) != meet(one,join(sk1,sk1))
| meet(join(sk1,sk1),converse(join(one,complement(converse(top))))) = meet(one,join(sk1,sk1)) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,sk1),converse(join(one,complement(converse(top))))),meet(join(sk1,sk1),one)) )],[refute_0_3916,refute_0_3917]) ).
cnf(refute_0_3919,plain,
meet(join(sk1,sk1),converse(join(one,complement(converse(top))))) = meet(one,join(sk1,sk1)),
inference(resolve,[$cnf( $equal(meet(join(sk1,sk1),one),meet(one,join(sk1,sk1))) )],[refute_0_3912,refute_0_3918]) ).
cnf(refute_0_3920,plain,
( join(sk1,sk1) != meet(join(sk1,sk1),converse(join(one,complement(converse(top)))))
| meet(join(sk1,sk1),converse(join(one,complement(converse(top))))) != meet(one,join(sk1,sk1))
| join(sk1,sk1) = meet(one,join(sk1,sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,sk1),meet(one,join(sk1,sk1))) ),[0],$fot(meet(join(sk1,sk1),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_3921,plain,
( join(sk1,sk1) != meet(join(sk1,sk1),converse(join(one,complement(converse(top)))))
| join(sk1,sk1) = meet(one,join(sk1,sk1)) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,sk1),converse(join(one,complement(converse(top))))),meet(one,join(sk1,sk1))) )],[refute_0_3919,refute_0_3920]) ).
cnf(refute_0_3922,plain,
join(sk1,sk1) = meet(one,join(sk1,sk1)),
inference(resolve,[$cnf( $equal(join(sk1,sk1),meet(join(sk1,sk1),converse(join(one,complement(converse(top)))))) )],[refute_0_3911,refute_0_3921]) ).
cnf(refute_0_3923,plain,
( join(sk1,sk1) != meet(one,join(sk1,sk1))
| meet(one,join(sk1,sk1)) = join(sk1,sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,sk1))),bind(Y,$fot(meet(one,join(sk1,sk1))))]]) ).
cnf(refute_0_3924,plain,
meet(one,join(sk1,sk1)) = join(sk1,sk1),
inference(resolve,[$cnf( $equal(join(sk1,sk1),meet(one,join(sk1,sk1))) )],[refute_0_3922,refute_0_3923]) ).
cnf(refute_0_3925,plain,
( meet(one,join(sk1,sk1)) != join(sk1,sk1)
| one != join(meet(one,join(sk1,sk1)),complement(join(complement(one),join(sk1,sk1))))
| one = join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,join(sk1,sk1)),complement(join(complement(one),join(sk1,sk1))))) ),[1,0],$fot(join(sk1,sk1))]]) ).
cnf(refute_0_3926,plain,
( one != join(meet(one,join(sk1,sk1)),complement(join(complement(one),join(sk1,sk1))))
| one = join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,join(sk1,sk1)),join(sk1,sk1)) )],[refute_0_3924,refute_0_3925]) ).
cnf(refute_0_3927,plain,
one = join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,join(sk1,sk1)),complement(join(complement(one),join(sk1,sk1))))) )],[refute_0_3888,refute_0_3926]) ).
cnf(refute_0_3928,plain,
join(sk1,join(complement(one),sk1)) = join(sk1,join(sk1,complement(one))),
inference(subst,[],[refute_0_3874:[bind(X_31,$fot(sk1)),bind(X_32,$fot(complement(one))),bind(X_33,$fot(sk1))]]) ).
cnf(refute_0_3929,plain,
join(complement(one),join(sk1,sk1)) = join(sk1,join(complement(one),sk1)),
inference(subst,[],[refute_0_346:[bind(X_31,$fot(sk1)),bind(X_32,$fot(complement(one))),bind(X_33,$fot(sk1))]]) ).
cnf(refute_0_3930,plain,
( join(complement(one),join(sk1,sk1)) != join(sk1,join(complement(one),sk1))
| join(sk1,join(complement(one),sk1)) != join(sk1,join(sk1,complement(one)))
| join(complement(one),join(sk1,sk1)) = join(sk1,join(sk1,complement(one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),join(sk1,sk1)))),bind(Y,$fot(join(sk1,join(complement(one),sk1)))),bind(Z,$fot(join(sk1,join(sk1,complement(one)))))]]) ).
cnf(refute_0_3931,plain,
( join(sk1,join(complement(one),sk1)) != join(sk1,join(sk1,complement(one)))
| join(complement(one),join(sk1,sk1)) = join(sk1,join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(sk1,sk1)),join(sk1,join(complement(one),sk1))) )],[refute_0_3929,refute_0_3930]) ).
cnf(refute_0_3932,plain,
join(complement(one),join(sk1,sk1)) = join(sk1,join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(one),sk1)),join(sk1,join(sk1,complement(one)))) )],[refute_0_3928,refute_0_3931]) ).
cnf(refute_0_3933,plain,
complement(join(complement(one),join(sk1,sk1))) = complement(join(complement(one),join(sk1,sk1))),
introduced(tautology,[refl,[$fot(complement(join(complement(one),join(sk1,sk1))))]]) ).
cnf(refute_0_3934,plain,
( complement(join(complement(one),join(sk1,sk1))) != complement(join(complement(one),join(sk1,sk1)))
| join(complement(one),join(sk1,sk1)) != join(sk1,join(sk1,complement(one)))
| complement(join(complement(one),join(sk1,sk1))) = complement(join(sk1,join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(one),join(sk1,sk1))),complement(join(complement(one),join(sk1,sk1)))) ),[1,0],$fot(join(sk1,join(sk1,complement(one))))]]) ).
cnf(refute_0_3935,plain,
( join(complement(one),join(sk1,sk1)) != join(sk1,join(sk1,complement(one)))
| complement(join(complement(one),join(sk1,sk1))) = complement(join(sk1,join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),join(sk1,sk1))),complement(join(complement(one),join(sk1,sk1)))) )],[refute_0_3933,refute_0_3934]) ).
cnf(refute_0_3936,plain,
complement(join(complement(one),join(sk1,sk1))) = complement(join(sk1,join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),join(sk1,sk1)),join(sk1,join(sk1,complement(one)))) )],[refute_0_3932,refute_0_3935]) ).
cnf(refute_0_3937,plain,
join(sk1,complement(join(complement(one),join(sk1,sk1)))) = join(sk1,complement(join(complement(one),join(sk1,sk1)))),
introduced(tautology,[refl,[$fot(join(sk1,complement(join(complement(one),join(sk1,sk1)))))]]) ).
cnf(refute_0_3938,plain,
( complement(join(complement(one),join(sk1,sk1))) != complement(join(sk1,join(sk1,complement(one))))
| join(sk1,complement(join(complement(one),join(sk1,sk1)))) != join(sk1,complement(join(complement(one),join(sk1,sk1))))
| join(sk1,complement(join(complement(one),join(sk1,sk1)))) = join(sk1,complement(join(sk1,join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(join(complement(one),join(sk1,sk1)))),join(sk1,complement(join(complement(one),join(sk1,sk1))))) ),[1,1],$fot(complement(join(sk1,join(sk1,complement(one)))))]]) ).
cnf(refute_0_3939,plain,
( complement(join(complement(one),join(sk1,sk1))) != complement(join(sk1,join(sk1,complement(one))))
| join(sk1,complement(join(complement(one),join(sk1,sk1)))) = join(sk1,complement(join(sk1,join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(complement(one),join(sk1,sk1)))),join(sk1,complement(join(complement(one),join(sk1,sk1))))) )],[refute_0_3937,refute_0_3938]) ).
cnf(refute_0_3940,plain,
join(sk1,complement(join(complement(one),join(sk1,sk1)))) = join(sk1,complement(join(sk1,join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),join(sk1,sk1))),complement(join(sk1,join(sk1,complement(one))))) )],[refute_0_3936,refute_0_3939]) ).
cnf(refute_0_3941,plain,
join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))) = join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))),
introduced(tautology,[refl,[$fot(join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))))]]) ).
cnf(refute_0_3942,plain,
( join(sk1,complement(join(complement(one),join(sk1,sk1)))) != join(sk1,complement(join(sk1,join(sk1,complement(one)))))
| join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))) != join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1)))))
| join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))) = join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))),join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1)))))) ),[1,1],$fot(join(sk1,complement(join(sk1,join(sk1,complement(one))))))]]) ).
cnf(refute_0_3943,plain,
( join(sk1,complement(join(complement(one),join(sk1,sk1)))) != join(sk1,complement(join(sk1,join(sk1,complement(one)))))
| join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))) = join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))),join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1)))))) )],[refute_0_3941,refute_0_3942]) ).
cnf(refute_0_3944,plain,
join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))) = join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(complement(one),join(sk1,sk1)))),join(sk1,complement(join(sk1,join(sk1,complement(one)))))) )],[refute_0_3940,refute_0_3943]) ).
cnf(refute_0_3945,plain,
join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1)))) = join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))),
inference(subst,[],[refute_0_169:[bind(A,$fot(sk1)),bind(B,$fot(sk1)),bind(C,$fot(complement(join(complement(one),join(sk1,sk1)))))]]) ).
cnf(refute_0_3946,plain,
( join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1)))) != join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1)))))
| join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))) != join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one))))))
| join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1)))) = join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1)))))),bind(Y,$fot(join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))))),bind(Z,$fot(join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3947,plain,
( join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))) != join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one))))))
| join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1)))) = join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1)))),join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1)))))) )],[refute_0_3945,refute_0_3946]) ).
cnf(refute_0_3948,plain,
join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1)))) = join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,complement(join(complement(one),join(sk1,sk1))))),join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one))))))) )],[refute_0_3944,refute_0_3947]) ).
cnf(refute_0_3949,plain,
( join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1)))) != join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one))))))
| one != join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1))))
| one = join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1))))) ),[1],$fot(join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_3950,plain,
( one != join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1))))
| one = join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1)))),join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one))))))) )],[refute_0_3948,refute_0_3949]) ).
cnf(refute_0_3951,plain,
one = join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(one,join(join(sk1,sk1),complement(join(complement(one),join(sk1,sk1))))) )],[refute_0_3927,refute_0_3950]) ).
cnf(refute_0_3952,plain,
( one != join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one))))))
| join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3953,plain,
join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) = one,
inference(resolve,[$cnf( $equal(one,join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one))))))) )],[refute_0_3951,refute_0_3952]) ).
cnf(refute_0_3954,plain,
( join(sk1,complement(join(sk1,join(sk1,complement(one))))) != meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))))
| join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) != one
| join(sk1,complement(join(sk1,join(sk1,complement(one))))) = meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(join(sk1,join(sk1,complement(one))))),meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_3955,plain,
( join(sk1,complement(join(sk1,join(sk1,complement(one))))) != meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))))
| join(sk1,complement(join(sk1,join(sk1,complement(one))))) = meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),one) ),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))),one) )],[refute_0_3953,refute_0_3954]) ).
cnf(refute_0_3956,plain,
join(sk1,complement(join(sk1,join(sk1,complement(one))))) = meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),one),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(sk1,join(sk1,complement(one))))),meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) )],[refute_0_3887,refute_0_3955]) ).
cnf(refute_0_3957,plain,
meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),one) = meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one)))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(join(sk1,complement(join(sk1,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_3958,plain,
( join(sk1,complement(join(sk1,join(sk1,complement(one))))) != meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),one)
| meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),one) != meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one))))))
| join(sk1,complement(join(sk1,join(sk1,complement(one))))) = meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,complement(join(sk1,join(sk1,complement(one))))),meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one))))))) ),[0],$fot(meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),one))]]) ).
cnf(refute_0_3959,plain,
( join(sk1,complement(join(sk1,join(sk1,complement(one))))) != meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),one)
| join(sk1,complement(join(sk1,join(sk1,complement(one))))) = meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),one),meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one))))))) )],[refute_0_3957,refute_0_3958]) ).
cnf(refute_0_3960,plain,
join(sk1,complement(join(sk1,join(sk1,complement(one))))) = meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(sk1,join(sk1,complement(one))))),meet(join(sk1,complement(join(sk1,join(sk1,complement(one))))),one)) )],[refute_0_3956,refute_0_3959]) ).
cnf(refute_0_3961,plain,
( join(sk1,complement(join(sk1,join(sk1,complement(one))))) != meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one))))))
| meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) = join(sk1,complement(join(sk1,join(sk1,complement(one))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,complement(join(sk1,join(sk1,complement(one))))))),bind(Y,$fot(meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3962,plain,
meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) = join(sk1,complement(join(sk1,join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(join(sk1,join(sk1,complement(one))))),meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one))))))) )],[refute_0_3960,refute_0_3961]) ).
cnf(refute_0_3963,plain,
( meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) != join(sk1,complement(join(sk1,join(sk1,complement(one)))))
| one != join(meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one)))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))
| one = join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one)))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) ),[1,0],$fot(join(sk1,complement(join(sk1,join(sk1,complement(one))))))]]) ).
cnf(refute_0_3964,plain,
( one != join(meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one)))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))
| one = join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one)))))),join(sk1,complement(join(sk1,join(sk1,complement(one)))))) )],[refute_0_3962,refute_0_3963]) ).
cnf(refute_0_3965,plain,
one = join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,join(sk1,complement(join(sk1,join(sk1,complement(one)))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) )],[refute_0_3886,refute_0_3964]) ).
cnf(refute_0_3966,plain,
join(complement(one),complement(join(sk1,join(sk1,complement(one))))) = complement(meet(one,join(sk1,join(sk1,complement(one))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(join(sk1,join(sk1,complement(one)))))]]) ).
cnf(refute_0_3967,plain,
join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))) = join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_3968,plain,
( join(complement(one),complement(join(sk1,join(sk1,complement(one))))) != complement(meet(one,join(sk1,join(sk1,complement(one)))))
| join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))) != join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one))))))
| join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))) = join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))),join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one))))))) ),[1,1],$fot(complement(meet(one,join(sk1,join(sk1,complement(one))))))]]) ).
cnf(refute_0_3969,plain,
( join(complement(one),complement(join(sk1,join(sk1,complement(one))))) != complement(meet(one,join(sk1,join(sk1,complement(one)))))
| join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))) = join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))),join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one))))))) )],[refute_0_3967,refute_0_3968]) ).
cnf(refute_0_3970,plain,
join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))) = join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(sk1,join(sk1,complement(one))))),complement(meet(one,join(sk1,join(sk1,complement(one)))))) )],[refute_0_3966,refute_0_3969]) ).
cnf(refute_0_3971,plain,
join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))) = join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))),
inference(subst,[],[refute_0_346:[bind(X_31,$fot(sk1)),bind(X_32,$fot(complement(one))),bind(X_33,$fot(complement(join(sk1,join(sk1,complement(one))))))]]) ).
cnf(refute_0_3972,plain,
( join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))) != join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one))))))
| join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))) != join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))
| join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))) = join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))),bind(Y,$fot(join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))))),bind(Z,$fot(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3973,plain,
( join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))) != join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))
| join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))) = join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))),join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one))))))) )],[refute_0_3971,refute_0_3972]) ).
cnf(refute_0_3974,plain,
join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))) = join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) )],[refute_0_3970,refute_0_3973]) ).
cnf(refute_0_3975,plain,
meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))) = meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3976,plain,
( join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))) != join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))
| meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))) != meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))
| meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))) = meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))),meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) ),[1,1],$fot(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_3977,plain,
( join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))) != join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))
| meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))) = meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))),meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) )],[refute_0_3975,refute_0_3976]) ).
cnf(refute_0_3978,plain,
meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))) = meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) )],[refute_0_3974,refute_0_3977]) ).
cnf(refute_0_3979,plain,
complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) = complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_3980,plain,
( complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) != complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))
| meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))) != meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))
| complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) = complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))),complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) ),[1,0],$fot(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3981,plain,
( meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))) != meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))
| complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) = complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))),complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) )],[refute_0_3979,refute_0_3980]) ).
cnf(refute_0_3982,plain,
complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) = complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) )],[refute_0_3978,refute_0_3981]) ).
cnf(refute_0_3983,plain,
join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) = complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(join(sk1,join(sk1,complement(one))))),bind(B,$fot(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_3984,plain,
( complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) != complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))
| join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) != complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))
| join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) = complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))),bind(Y,$fot(complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))),bind(Z,$fot(complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_3985,plain,
( complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) != complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))
| join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) = complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))),complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) )],[refute_0_3983,refute_0_3984]) ).
cnf(refute_0_3986,plain,
join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) = complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,join(sk1,complement(one))),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))),complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) )],[refute_0_3982,refute_0_3985]) ).
cnf(refute_0_3987,plain,
join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) = join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))),
introduced(tautology,[refl,[$fot(join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_3988,plain,
( join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) != complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))
| join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) != join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))
| join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) = join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))),join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))) ),[1,1],$fot(complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_3989,plain,
( join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) != complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))
| join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) = join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))),join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))) )],[refute_0_3987,refute_0_3988]) ).
cnf(refute_0_3990,plain,
join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) = join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))),complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) )],[refute_0_3986,refute_0_3989]) ).
cnf(refute_0_3991,plain,
join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) = join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))),
inference(subst,[],[refute_0_169:[bind(A,$fot(sk1)),bind(B,$fot(complement(join(sk1,join(sk1,complement(one)))))),bind(C,$fot(complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_3992,plain,
( join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) != join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))
| join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) != join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))
| join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) = join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))),bind(Y,$fot(join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))))),bind(Z,$fot(join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))))]]) ).
cnf(refute_0_3993,plain,
( join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) != join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))
| join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) = join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))),join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))) )],[refute_0_3991,refute_0_3992]) ).
cnf(refute_0_3994,plain,
join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) = join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(join(sk1,join(sk1,complement(one)))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))),join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))) )],[refute_0_3990,refute_0_3993]) ).
cnf(refute_0_3995,plain,
( join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))) != join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))
| one != join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))
| one = join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) ),[1],$fot(join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_3996,plain,
( one != join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))
| one = join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))),join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))) )],[refute_0_3994,refute_0_3995]) ).
cnf(refute_0_3997,plain,
one = join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(one,join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))))) )],[refute_0_3965,refute_0_3996]) ).
cnf(refute_0_3998,plain,
( one != join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))
| join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))))]]) ).
cnf(refute_0_3999,plain,
join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) = one,
inference(resolve,[$cnf( $equal(one,join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))) )],[refute_0_3997,refute_0_3998]) ).
cnf(refute_0_4000,plain,
( join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) != one
| meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))))))
| meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_0_4001,plain,
( meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))))))
| meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))),one) )],[refute_0_3999,refute_0_4000]) ).
cnf(refute_0_4002,plain,
meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(join(sk1,complement(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))))))) )],[refute_0_3885,refute_0_4001]) ).
cnf(refute_0_4003,plain,
meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(one))) = meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(join(sk1,complement(one)))),bind(X_7,$fot(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_4004,plain,
( meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(one)))
| meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(one))) != meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))
| meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) ),[0],$fot(meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(one))))]]) ).
cnf(refute_0_4005,plain,
( meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(one)))
| meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(one))),meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) )],[refute_0_4003,refute_0_4004]) ).
cnf(refute_0_4006,plain,
meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),meet(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,complement(one)))) )],[refute_0_4002,refute_0_4005]) ).
cnf(refute_0_4007,plain,
meet(join(sk1,join(sk1,complement(one))),top) = join(sk1,join(sk1,complement(one))),
inference(subst,[],[refute_0_1906:[bind(X_97,$fot(join(sk1,join(sk1,complement(one)))))]]) ).
cnf(refute_0_4008,plain,
join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) = join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(sk1)),bind(X_117,$fot(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_4009,plain,
complement(sk1) = meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one))))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(join(sk1,complement(join(sk1,join(sk1,complement(one))))))),bind(X_97,$fot(sk1))]]) ).
cnf(refute_0_4010,plain,
( complement(sk1) != meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))
| join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))) != one
| complement(sk1) = meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk1),meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_0_4011,plain,
( complement(sk1) != meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))
| complement(sk1) = meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))),one) )],[refute_0_3953,refute_0_4010]) ).
cnf(refute_0_4012,plain,
complement(sk1) = meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))),
inference(resolve,[$cnf( $equal(complement(sk1),meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(join(sk1,join(sk1,complement(join(sk1,join(sk1,complement(one)))))))))) )],[refute_0_4009,refute_0_4011]) ).
cnf(refute_0_4013,plain,
join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)) = join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))),
inference(subst,[],[refute_0_2226:[bind(A,$fot(join(sk1,complement(join(sk1,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_4014,plain,
( join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))) != join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one))))))
| join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)) != join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))
| join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)) = join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)))),bind(Y,$fot(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))))),bind(Z,$fot(join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_4015,plain,
( join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))) != join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one))))))
| join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)) = join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)),join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one))))))) )],[refute_0_4013,refute_0_4014]) ).
cnf(refute_0_4016,plain,
join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)) = join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(sk1,complement(join(sk1,join(sk1,complement(one)))))),join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one))))))) )],[refute_0_3971,refute_0_4015]) ).
cnf(refute_0_4017,plain,
( join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)) != join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one))))))
| join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))) != join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))
| join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)) = join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)))),bind(Y,$fot(join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))))),bind(Z,$fot(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_4018,plain,
( join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))) != join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))
| join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)) = join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)),join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one))))))) )],[refute_0_4016,refute_0_4017]) ).
cnf(refute_0_4019,plain,
join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)) = join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(one),complement(join(sk1,join(sk1,complement(one)))))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) )],[refute_0_3970,refute_0_4018]) ).
cnf(refute_0_4020,plain,
meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))) = meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))))]]) ).
cnf(refute_0_4021,plain,
( join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)) != join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))
| meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))) != meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)))
| meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))) = meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))),meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)))) ),[1,1],$fot(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_4022,plain,
( join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)) != join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))
| meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))) = meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))),meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)))) )],[refute_0_4020,refute_0_4021]) ).
cnf(refute_0_4023,plain,
meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))) = meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) )],[refute_0_4019,refute_0_4022]) ).
cnf(refute_0_4024,plain,
( complement(sk1) != meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)))
| meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))) != meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))
| complement(sk1) = meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk1),meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) ),[0],$fot(meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))))]]) ).
cnf(refute_0_4025,plain,
( complement(sk1) != meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)))
| complement(sk1) = meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one))),meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) )],[refute_0_4023,refute_0_4024]) ).
cnf(refute_0_4026,plain,
complement(sk1) = meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(complement(sk1),meet(complement(sk1),join(join(sk1,complement(join(sk1,join(sk1,complement(one))))),complement(one)))) )],[refute_0_4012,refute_0_4025]) ).
cnf(refute_0_4027,plain,
( complement(sk1) != meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))
| meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_4028,plain,
meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) )],[refute_0_4026,refute_0_4027]) ).
cnf(refute_0_4029,plain,
( join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) != join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))
| meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != complement(sk1)
| join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) = join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_4030,plain,
( join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) != join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))
| join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) = join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),complement(sk1)) )],[refute_0_4028,refute_0_4029]) ).
cnf(refute_0_4031,plain,
join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) = join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1)),
inference(resolve,[$cnf( $equal(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),meet(complement(sk1),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) )],[refute_0_4008,refute_0_4030]) ).
cnf(refute_0_4032,plain,
join(complement(sk1),sk1) = join(sk1,complement(sk1)),
inference(subst,[],[refute_0_4:[bind(A,$fot(sk1)),bind(B,$fot(complement(sk1)))]]) ).
cnf(refute_0_4033,plain,
( join(complement(sk1),sk1) != join(sk1,complement(sk1))
| join(sk1,complement(sk1)) != top
| join(complement(sk1),sk1) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(sk1),sk1))),bind(Y,$fot(join(sk1,complement(sk1)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4034,plain,
( join(sk1,complement(sk1)) != top
| join(complement(sk1),sk1) = top ),
inference(resolve,[$cnf( $equal(join(complement(sk1),sk1),join(sk1,complement(sk1))) )],[refute_0_4032,refute_0_4033]) ).
cnf(refute_0_4035,plain,
join(complement(sk1),sk1) = top,
inference(resolve,[$cnf( $equal(join(sk1,complement(sk1)),top) )],[refute_0_899,refute_0_4034]) ).
cnf(refute_0_4036,plain,
meet(sk1,join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = sk1,
inference(subst,[],[refute_0_2380:[bind(X_33,$fot(complement(meet(one,join(sk1,join(sk1,complement(one))))))),bind(X_97,$fot(sk1))]]) ).
cnf(refute_0_4037,plain,
meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1) = meet(sk1,join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(sk1)),bind(X_7,$fot(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_4038,plain,
( meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1) != meet(sk1,join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))
| meet(sk1,join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != sk1
| meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1))),bind(Y,$fot(meet(sk1,join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_4039,plain,
( meet(sk1,join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != sk1
| meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1) = sk1 ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),meet(sk1,join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) )],[refute_0_4037,refute_0_4038]) ).
cnf(refute_0_4040,plain,
meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1) = sk1,
inference(resolve,[$cnf( $equal(meet(sk1,join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),sk1) )],[refute_0_4036,refute_0_4039]) ).
cnf(refute_0_4041,plain,
join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)) = join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)),
introduced(tautology,[refl,[$fot(join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)))]]) ).
cnf(refute_0_4042,plain,
( join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)) != join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1))
| meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1) != sk1
| join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)) = join(complement(sk1),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)),join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1))) ),[1,1],$fot(sk1)]]) ).
cnf(refute_0_4043,plain,
( meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1) != sk1
| join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)) = join(complement(sk1),sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)),join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1))) )],[refute_0_4041,refute_0_4042]) ).
cnf(refute_0_4044,plain,
join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)) = join(complement(sk1),sk1),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),sk1) )],[refute_0_4040,refute_0_4043]) ).
cnf(refute_0_4045,plain,
( join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)) != join(complement(sk1),sk1)
| join(complement(sk1),sk1) != top
| join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)))),bind(Y,$fot(join(complement(sk1),sk1))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4046,plain,
( join(complement(sk1),sk1) != top
| join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)) = top ),
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)),join(complement(sk1),sk1)) )],[refute_0_4044,refute_0_4045]) ).
cnf(refute_0_4047,plain,
join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)) = top,
inference(resolve,[$cnf( $equal(join(complement(sk1),sk1),top) )],[refute_0_4035,refute_0_4046]) ).
cnf(refute_0_4048,plain,
join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1)) = join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(sk1))),bind(B,$fot(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)))]]) ).
cnf(refute_0_4049,plain,
( join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)) != top
| join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1)) != join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1))
| join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1)))),bind(Y,$fot(join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4050,plain,
( join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)) != top
| join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1)) = top ),
inference(resolve,[$cnf( $equal(join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1)),join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1))) )],[refute_0_4048,refute_0_4049]) ).
cnf(refute_0_4051,plain,
join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1)) = top,
inference(resolve,[$cnf( $equal(join(complement(sk1),meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1)),top) )],[refute_0_4047,refute_0_4050]) ).
cnf(refute_0_4052,plain,
( join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1)) != top
| join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) != join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1))
| join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1))) ),[1],$fot(top)]]) ).
cnf(refute_0_4053,plain,
( join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) != join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1))
| join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) = top ),
inference(resolve,[$cnf( $equal(join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1)),top) )],[refute_0_4051,refute_0_4052]) ).
cnf(refute_0_4054,plain,
join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) = top,
inference(resolve,[$cnf( $equal(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),join(meet(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),sk1),complement(sk1))) )],[refute_0_4031,refute_0_4053]) ).
cnf(refute_0_4055,plain,
meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_4056,plain,
( join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) != top
| meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))
| meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = meet(join(sk1,join(sk1,complement(one))),top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4057,plain,
( join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))) != top
| meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = meet(join(sk1,join(sk1,complement(one))),top) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) )],[refute_0_4055,refute_0_4056]) ).
cnf(refute_0_4058,plain,
meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = meet(join(sk1,join(sk1,complement(one))),top),
inference(resolve,[$cnf( $equal(join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))),top) )],[refute_0_4054,refute_0_4057]) ).
cnf(refute_0_4059,plain,
( meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != meet(join(sk1,join(sk1,complement(one))),top)
| meet(join(sk1,join(sk1,complement(one))),top) != join(sk1,join(sk1,complement(one)))
| meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = join(sk1,join(sk1,complement(one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))),bind(Y,$fot(meet(join(sk1,join(sk1,complement(one))),top))),bind(Z,$fot(join(sk1,join(sk1,complement(one)))))]]) ).
cnf(refute_0_4060,plain,
( meet(join(sk1,join(sk1,complement(one))),top) != join(sk1,join(sk1,complement(one)))
| meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = join(sk1,join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),meet(join(sk1,join(sk1,complement(one))),top)) )],[refute_0_4058,refute_0_4059]) ).
cnf(refute_0_4061,plain,
meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) = join(sk1,join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),top),join(sk1,join(sk1,complement(one)))) )],[refute_0_4007,refute_0_4060]) ).
cnf(refute_0_4062,plain,
( meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != join(sk1,join(sk1,complement(one)))
| meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))
| join(sk1,join(sk1,complement(one))) = meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) ),[0],$fot(join(sk1,join(sk1,complement(one))))]]) ).
cnf(refute_0_4063,plain,
( meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))
| join(sk1,join(sk1,complement(one))) = meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,join(sk1,complement(one)))) )],[refute_0_4061,refute_0_4062]) ).
cnf(refute_0_4064,plain,
meet(join(sk1,complement(one)),join(sk1,join(sk1,complement(one)))) = join(sk1,complement(one)),
inference(subst,[],[refute_0_1170:[bind(X_118,$fot(sk1)),bind(X_119,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_4065,plain,
meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) = meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_4066,plain,
( meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) != meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))
| meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != join(sk1,join(sk1,complement(one)))
| meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) = meet(join(sk1,complement(one)),join(sk1,join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))),meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) ),[1,1],$fot(join(sk1,join(sk1,complement(one))))]]) ).
cnf(refute_0_4067,plain,
( meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != join(sk1,join(sk1,complement(one)))
| meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) = meet(join(sk1,complement(one)),join(sk1,join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))),meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) )],[refute_0_4065,refute_0_4066]) ).
cnf(refute_0_4068,plain,
meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) = meet(join(sk1,complement(one)),join(sk1,join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),join(sk1,join(sk1,complement(one)))) )],[refute_0_4061,refute_0_4067]) ).
cnf(refute_0_4069,plain,
( meet(join(sk1,complement(one)),join(sk1,join(sk1,complement(one)))) != join(sk1,complement(one))
| meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) != meet(join(sk1,complement(one)),join(sk1,join(sk1,complement(one))))
| meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) = join(sk1,complement(one)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))),bind(Y,$fot(meet(join(sk1,complement(one)),join(sk1,join(sk1,complement(one)))))),bind(Z,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_4070,plain,
( meet(join(sk1,complement(one)),join(sk1,join(sk1,complement(one)))) != join(sk1,complement(one))
| meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) = join(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))),meet(join(sk1,complement(one)),join(sk1,join(sk1,complement(one))))) )],[refute_0_4068,refute_0_4069]) ).
cnf(refute_0_4071,plain,
meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) = join(sk1,complement(one)),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(sk1,join(sk1,complement(one)))),join(sk1,complement(one))) )],[refute_0_4064,refute_0_4070]) ).
cnf(refute_0_4072,plain,
( join(sk1,join(sk1,complement(one))) != meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))
| meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))) != join(sk1,complement(one))
| join(sk1,join(sk1,complement(one))) = join(sk1,complement(one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,join(sk1,complement(one))),join(sk1,complement(one))) ),[0],$fot(meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_4073,plain,
( join(sk1,join(sk1,complement(one))) != meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))
| join(sk1,join(sk1,complement(one))) = join(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one)))))))),join(sk1,complement(one))) )],[refute_0_4071,refute_0_4072]) ).
cnf(refute_0_4074,plain,
( meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))) != meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))
| join(sk1,join(sk1,complement(one))) = join(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,complement(one))),meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) )],[refute_0_4063,refute_0_4073]) ).
cnf(refute_0_4075,plain,
join(sk1,join(sk1,complement(one))) = join(sk1,complement(one)),
inference(resolve,[$cnf( $equal(meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))),meet(join(sk1,complement(one)),meet(join(sk1,join(sk1,complement(one))),join(sk1,complement(meet(one,join(sk1,join(sk1,complement(one))))))))) )],[refute_0_4006,refute_0_4074]) ).
cnf(refute_0_4076,plain,
converse(join(sk1,join(sk1,complement(one)))) = converse(join(sk1,join(sk1,complement(one)))),
introduced(tautology,[refl,[$fot(converse(join(sk1,join(sk1,complement(one)))))]]) ).
cnf(refute_0_4077,plain,
( converse(join(sk1,join(sk1,complement(one)))) != converse(join(sk1,join(sk1,complement(one))))
| join(sk1,join(sk1,complement(one))) != join(sk1,complement(one))
| converse(join(sk1,join(sk1,complement(one)))) = converse(join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,join(sk1,complement(one)))),converse(join(sk1,join(sk1,complement(one))))) ),[1,0],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_4078,plain,
( join(sk1,join(sk1,complement(one))) != join(sk1,complement(one))
| converse(join(sk1,join(sk1,complement(one)))) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(sk1,complement(one)))),converse(join(sk1,join(sk1,complement(one))))) )],[refute_0_4076,refute_0_4077]) ).
cnf(refute_0_4079,plain,
converse(join(sk1,join(sk1,complement(one)))) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,complement(one))),join(sk1,complement(one))) )],[refute_0_4075,refute_0_4078]) ).
cnf(refute_0_4080,plain,
join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))) = join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))),
introduced(tautology,[refl,[$fot(join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_4081,plain,
( converse(join(sk1,join(sk1,complement(one)))) != converse(join(sk1,complement(one)))
| join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))) != join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))
| join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))) = join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))),join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))) ),[1,0],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_4082,plain,
( converse(join(sk1,join(sk1,complement(one)))) != converse(join(sk1,complement(one)))
| join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))) = join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))),join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_4080,refute_0_4081]) ).
cnf(refute_0_4083,plain,
join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))) = join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(sk1,complement(one)))),converse(join(sk1,complement(one)))) )],[refute_0_4079,refute_0_4082]) ).
cnf(refute_0_4084,plain,
( join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))) != join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1)))))
| top != join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))
| top = join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))) ),[1],$fot(join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_4085,plain,
( top != join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))
| top = join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1))))),join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_4083,refute_0_4084]) ).
cnf(refute_0_4086,plain,
top = join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))),
inference(resolve,[$cnf( $equal(top,join(converse(join(sk1,join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_3884,refute_0_4085]) ).
cnf(refute_0_4087,plain,
( top != join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1)))))
| join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1)))))))]]) ).
cnf(refute_0_4088,plain,
join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_4086,refute_0_4087]) ).
cnf(refute_0_4089,plain,
( converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) != converse(join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))))
| join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))) != top
| converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))),converse(join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4090,plain,
( converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) != converse(join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))))
| converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))),top) )],[refute_0_4088,refute_0_4089]) ).
cnf(refute_0_4091,plain,
converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))),converse(join(converse(join(sk1,complement(one))),meet(one,complement(converse(join(sk1,sk1))))))) )],[refute_0_3744,refute_0_4090]) ).
cnf(refute_0_4092,plain,
complement(converse(join(sk1,sk1))) = join(meet(complement(converse(join(sk1,sk1))),one),meet(complement(one),complement(converse(join(sk1,sk1))))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(one)),bind(X_117,$fot(complement(converse(join(sk1,sk1)))))]]) ).
cnf(refute_0_4093,plain,
complement(one) = meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(join(one,complement(converse(join(sk1,sk1))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(complement(converse(join(sk1,sk1))))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_4094,plain,
( complement(one) != meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(join(one,complement(converse(join(sk1,sk1)))))))
| join(one,complement(converse(join(sk1,sk1)))) != top
| complement(one) = meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(join(one,complement(converse(join(sk1,sk1)))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_4095,plain,
( complement(one) != meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(join(one,complement(converse(join(sk1,sk1)))))))
| complement(one) = meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(sk1,sk1)))),top) )],[refute_0_3779,refute_0_4094]) ).
cnf(refute_0_4096,plain,
complement(one) = meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(join(one,complement(converse(join(sk1,sk1)))))))) )],[refute_0_4093,refute_0_4095]) ).
cnf(refute_0_4097,plain,
meet(converse(join(sk1,sk1)),top) = converse(join(sk1,sk1)),
inference(subst,[],[refute_0_1906:[bind(X_97,$fot(converse(join(sk1,sk1))))]]) ).
cnf(refute_0_4098,plain,
complement(meet(converse(join(sk1,sk1)),top)) = complement(meet(converse(join(sk1,sk1)),top)),
introduced(tautology,[refl,[$fot(complement(meet(converse(join(sk1,sk1)),top)))]]) ).
cnf(refute_0_4099,plain,
( complement(meet(converse(join(sk1,sk1)),top)) != complement(meet(converse(join(sk1,sk1)),top))
| meet(converse(join(sk1,sk1)),top) != converse(join(sk1,sk1))
| complement(meet(converse(join(sk1,sk1)),top)) = complement(converse(join(sk1,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(join(sk1,sk1)),top)),complement(meet(converse(join(sk1,sk1)),top))) ),[1,0],$fot(converse(join(sk1,sk1)))]]) ).
cnf(refute_0_4100,plain,
( meet(converse(join(sk1,sk1)),top) != converse(join(sk1,sk1))
| complement(meet(converse(join(sk1,sk1)),top)) = complement(converse(join(sk1,sk1))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(join(sk1,sk1)),top)),complement(meet(converse(join(sk1,sk1)),top))) )],[refute_0_4098,refute_0_4099]) ).
cnf(refute_0_4101,plain,
complement(meet(converse(join(sk1,sk1)),top)) = complement(converse(join(sk1,sk1))),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,sk1)),top),converse(join(sk1,sk1))) )],[refute_0_4097,refute_0_4100]) ).
cnf(refute_0_4102,plain,
join(complement(converse(join(sk1,sk1))),complement(top)) = complement(meet(converse(join(sk1,sk1)),top)),
inference(subst,[],[refute_0_1144:[bind(A,$fot(converse(join(sk1,sk1)))),bind(B,$fot(top))]]) ).
cnf(refute_0_4103,plain,
( complement(meet(converse(join(sk1,sk1)),top)) != complement(converse(join(sk1,sk1)))
| join(complement(converse(join(sk1,sk1))),complement(top)) != complement(meet(converse(join(sk1,sk1)),top))
| join(complement(converse(join(sk1,sk1))),complement(top)) = complement(converse(join(sk1,sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(join(sk1,sk1))),complement(top)))),bind(Y,$fot(complement(meet(converse(join(sk1,sk1)),top)))),bind(Z,$fot(complement(converse(join(sk1,sk1)))))]]) ).
cnf(refute_0_4104,plain,
( complement(meet(converse(join(sk1,sk1)),top)) != complement(converse(join(sk1,sk1)))
| join(complement(converse(join(sk1,sk1))),complement(top)) = complement(converse(join(sk1,sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(sk1,sk1))),complement(top)),complement(meet(converse(join(sk1,sk1)),top))) )],[refute_0_4102,refute_0_4103]) ).
cnf(refute_0_4105,plain,
join(complement(converse(join(sk1,sk1))),complement(top)) = complement(converse(join(sk1,sk1))),
inference(resolve,[$cnf( $equal(complement(meet(converse(join(sk1,sk1)),top)),complement(converse(join(sk1,sk1)))) )],[refute_0_4101,refute_0_4104]) ).
cnf(refute_0_4106,plain,
meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))) = meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))))]]) ).
cnf(refute_0_4107,plain,
( join(complement(converse(join(sk1,sk1))),complement(top)) != complement(converse(join(sk1,sk1)))
| meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))) != meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top)))
| meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))) = meet(complement(one),complement(converse(join(sk1,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))),meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top)))) ),[1,1],$fot(complement(converse(join(sk1,sk1))))]]) ).
cnf(refute_0_4108,plain,
( join(complement(converse(join(sk1,sk1))),complement(top)) != complement(converse(join(sk1,sk1)))
| meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))) = meet(complement(one),complement(converse(join(sk1,sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))),meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top)))) )],[refute_0_4106,refute_0_4107]) ).
cnf(refute_0_4109,plain,
meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))) = meet(complement(one),complement(converse(join(sk1,sk1)))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(sk1,sk1))),complement(top)),complement(converse(join(sk1,sk1)))) )],[refute_0_4105,refute_0_4108]) ).
cnf(refute_0_4110,plain,
( complement(one) != meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top)))
| meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))) != meet(complement(one),complement(converse(join(sk1,sk1))))
| complement(one) = meet(complement(one),complement(converse(join(sk1,sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(converse(join(sk1,sk1))))) ),[0],$fot(meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))))]]) ).
cnf(refute_0_4111,plain,
( complement(one) != meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top)))
| complement(one) = meet(complement(one),complement(converse(join(sk1,sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top))),meet(complement(one),complement(converse(join(sk1,sk1))))) )],[refute_0_4109,refute_0_4110]) ).
cnf(refute_0_4112,plain,
complement(one) = meet(complement(one),complement(converse(join(sk1,sk1)))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(join(sk1,sk1))),complement(top)))) )],[refute_0_4096,refute_0_4111]) ).
cnf(refute_0_4113,plain,
( complement(one) != meet(complement(one),complement(converse(join(sk1,sk1))))
| meet(complement(one),complement(converse(join(sk1,sk1)))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_4114,plain,
meet(complement(one),complement(converse(join(sk1,sk1)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(converse(join(sk1,sk1))))) )],[refute_0_4112,refute_0_4113]) ).
cnf(refute_0_4115,plain,
( complement(converse(join(sk1,sk1))) != join(meet(complement(converse(join(sk1,sk1))),one),meet(complement(one),complement(converse(join(sk1,sk1)))))
| meet(complement(one),complement(converse(join(sk1,sk1)))) != complement(one)
| complement(converse(join(sk1,sk1))) = join(meet(complement(converse(join(sk1,sk1))),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(sk1,sk1))),join(meet(complement(converse(join(sk1,sk1))),one),meet(complement(one),complement(converse(join(sk1,sk1)))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_4116,plain,
( complement(converse(join(sk1,sk1))) != join(meet(complement(converse(join(sk1,sk1))),one),meet(complement(one),complement(converse(join(sk1,sk1)))))
| complement(converse(join(sk1,sk1))) = join(meet(complement(converse(join(sk1,sk1))),one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(join(sk1,sk1)))),complement(one)) )],[refute_0_4114,refute_0_4115]) ).
cnf(refute_0_4117,plain,
complement(converse(join(sk1,sk1))) = join(meet(complement(converse(join(sk1,sk1))),one),complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,sk1))),join(meet(complement(converse(join(sk1,sk1))),one),meet(complement(one),complement(converse(join(sk1,sk1)))))) )],[refute_0_4092,refute_0_4116]) ).
cnf(refute_0_4118,plain,
meet(complement(converse(join(sk1,sk1))),one) = meet(one,complement(converse(join(sk1,sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(converse(join(sk1,sk1)))))]]) ).
cnf(refute_0_4119,plain,
join(complement(one),meet(complement(converse(join(sk1,sk1))),one)) = join(complement(one),meet(complement(converse(join(sk1,sk1))),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(converse(join(sk1,sk1))),one)))]]) ).
cnf(refute_0_4120,plain,
( join(complement(one),meet(complement(converse(join(sk1,sk1))),one)) != join(complement(one),meet(complement(converse(join(sk1,sk1))),one))
| meet(complement(converse(join(sk1,sk1))),one) != meet(one,complement(converse(join(sk1,sk1))))
| join(complement(one),meet(complement(converse(join(sk1,sk1))),one)) = join(complement(one),meet(one,complement(converse(join(sk1,sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(converse(join(sk1,sk1))),one)),join(complement(one),meet(complement(converse(join(sk1,sk1))),one))) ),[1,1],$fot(meet(one,complement(converse(join(sk1,sk1)))))]]) ).
cnf(refute_0_4121,plain,
( meet(complement(converse(join(sk1,sk1))),one) != meet(one,complement(converse(join(sk1,sk1))))
| join(complement(one),meet(complement(converse(join(sk1,sk1))),one)) = join(complement(one),meet(one,complement(converse(join(sk1,sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(join(sk1,sk1))),one)),join(complement(one),meet(complement(converse(join(sk1,sk1))),one))) )],[refute_0_4119,refute_0_4120]) ).
cnf(refute_0_4122,plain,
join(complement(one),meet(complement(converse(join(sk1,sk1))),one)) = join(complement(one),meet(one,complement(converse(join(sk1,sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(sk1,sk1))),one),meet(one,complement(converse(join(sk1,sk1))))) )],[refute_0_4118,refute_0_4121]) ).
cnf(refute_0_4123,plain,
join(meet(complement(converse(join(sk1,sk1))),one),complement(one)) = join(complement(one),meet(complement(converse(join(sk1,sk1))),one)),
inference(subst,[],[refute_0_2226:[bind(A,$fot(meet(complement(converse(join(sk1,sk1))),one)))]]) ).
cnf(refute_0_4124,plain,
( join(complement(one),meet(complement(converse(join(sk1,sk1))),one)) != join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))
| join(meet(complement(converse(join(sk1,sk1))),one),complement(one)) != join(complement(one),meet(complement(converse(join(sk1,sk1))),one))
| join(meet(complement(converse(join(sk1,sk1))),one),complement(one)) = join(complement(one),meet(one,complement(converse(join(sk1,sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(converse(join(sk1,sk1))),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(complement(converse(join(sk1,sk1))),one)))),bind(Z,$fot(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))))]]) ).
cnf(refute_0_4125,plain,
( join(complement(one),meet(complement(converse(join(sk1,sk1))),one)) != join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))
| join(meet(complement(converse(join(sk1,sk1))),one),complement(one)) = join(complement(one),meet(one,complement(converse(join(sk1,sk1))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(join(sk1,sk1))),one),complement(one)),join(complement(one),meet(complement(converse(join(sk1,sk1))),one))) )],[refute_0_4123,refute_0_4124]) ).
cnf(refute_0_4126,plain,
join(meet(complement(converse(join(sk1,sk1))),one),complement(one)) = join(complement(one),meet(one,complement(converse(join(sk1,sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(join(sk1,sk1))),one)),join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_4122,refute_0_4125]) ).
cnf(refute_0_4127,plain,
( complement(converse(join(sk1,sk1))) != join(meet(complement(converse(join(sk1,sk1))),one),complement(one))
| join(meet(complement(converse(join(sk1,sk1))),one),complement(one)) != join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))
| complement(converse(join(sk1,sk1))) = join(complement(one),meet(one,complement(converse(join(sk1,sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(join(sk1,sk1))),join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))) ),[0],$fot(join(meet(complement(converse(join(sk1,sk1))),one),complement(one)))]]) ).
cnf(refute_0_4128,plain,
( complement(converse(join(sk1,sk1))) != join(meet(complement(converse(join(sk1,sk1))),one),complement(one))
| complement(converse(join(sk1,sk1))) = join(complement(one),meet(one,complement(converse(join(sk1,sk1))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(join(sk1,sk1))),one),complement(one)),join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_4126,refute_0_4127]) ).
cnf(refute_0_4129,plain,
complement(converse(join(sk1,sk1))) = join(complement(one),meet(one,complement(converse(join(sk1,sk1))))),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,sk1))),join(meet(complement(converse(join(sk1,sk1))),one),complement(one))) )],[refute_0_4117,refute_0_4128]) ).
cnf(refute_0_4130,plain,
( complement(converse(join(sk1,sk1))) != join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))
| join(complement(one),meet(one,complement(converse(join(sk1,sk1))))) = complement(converse(join(sk1,sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(join(sk1,sk1))))),bind(Y,$fot(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))))]]) ).
cnf(refute_0_4131,plain,
join(complement(one),meet(one,complement(converse(join(sk1,sk1))))) = complement(converse(join(sk1,sk1))),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,sk1))),join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))) )],[refute_0_4129,refute_0_4130]) ).
cnf(refute_0_4132,plain,
converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))) = converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))))]]) ).
cnf(refute_0_4133,plain,
( converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))) != converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1))))))
| join(complement(one),meet(one,complement(converse(join(sk1,sk1))))) != complement(converse(join(sk1,sk1)))
| converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))) = converse(complement(converse(join(sk1,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))),converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1))))))) ),[1,0],$fot(complement(converse(join(sk1,sk1))))]]) ).
cnf(refute_0_4134,plain,
( join(complement(one),meet(one,complement(converse(join(sk1,sk1))))) != complement(converse(join(sk1,sk1)))
| converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))) = converse(complement(converse(join(sk1,sk1)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))),converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1))))))) )],[refute_0_4132,refute_0_4133]) ).
cnf(refute_0_4135,plain,
converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))) = converse(complement(converse(join(sk1,sk1)))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(join(sk1,sk1))))),complement(converse(join(sk1,sk1)))) )],[refute_0_4131,refute_0_4134]) ).
cnf(refute_0_4136,plain,
join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))) = converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))),
inference(subst,[],[refute_0_1764:[bind(X_12,$fot(meet(one,complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_4137,plain,
( converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))) != converse(complement(converse(join(sk1,sk1))))
| join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))) != converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1))))))
| join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))) = converse(complement(converse(join(sk1,sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))),bind(Y,$fot(converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))))),bind(Z,$fot(converse(complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_4138,plain,
( converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))) != converse(complement(converse(join(sk1,sk1))))
| join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))) = converse(complement(converse(join(sk1,sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))),converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1))))))) )],[refute_0_4136,refute_0_4137]) ).
cnf(refute_0_4139,plain,
join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))) = converse(complement(converse(join(sk1,sk1)))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(converse(join(sk1,sk1)))))),converse(complement(converse(join(sk1,sk1))))) )],[refute_0_4135,refute_0_4138]) ).
cnf(refute_0_4140,plain,
join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))) = join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))),
introduced(tautology,[refl,[$fot(join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))))]]) ).
cnf(refute_0_4141,plain,
( join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))) != converse(complement(converse(join(sk1,sk1))))
| join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))) != join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))
| join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))) = join(sk1,converse(complement(converse(join(sk1,sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))),join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))) ),[1,1],$fot(converse(complement(converse(join(sk1,sk1)))))]]) ).
cnf(refute_0_4142,plain,
( join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))) != converse(complement(converse(join(sk1,sk1))))
| join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))) = join(sk1,converse(complement(converse(join(sk1,sk1))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))),join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))) )],[refute_0_4140,refute_0_4141]) ).
cnf(refute_0_4143,plain,
join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))) = join(sk1,converse(complement(converse(join(sk1,sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))),converse(complement(converse(join(sk1,sk1))))) )],[refute_0_4139,refute_0_4142]) ).
cnf(refute_0_4144,plain,
join(sk1,join(converse(meet(one,complement(converse(join(sk1,sk1))))),complement(one))) = join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))),
inference(subst,[],[refute_0_3874:[bind(X_31,$fot(sk1)),bind(X_32,$fot(converse(meet(one,complement(converse(join(sk1,sk1))))))),bind(X_33,$fot(complement(one)))]]) ).
cnf(refute_0_4145,plain,
join(X_155,join(X_156,X_157)) = join(X_156,join(X_157,X_155)),
inference(subst,[],[refute_0_269:[bind(A,$fot(X_155)),bind(X_31,$fot(X_156)),bind(X_32,$fot(X_157))]]) ).
cnf(refute_0_4146,plain,
join(X_155,X_157) = join(X_157,X_155),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_155)),bind(B,$fot(X_157))]]) ).
cnf(refute_0_4147,plain,
( join(X_155,X_157) != join(X_157,X_155)
| join(X_157,X_155) = join(X_155,X_157) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_155,X_157))),bind(Y,$fot(join(X_157,X_155)))]]) ).
cnf(refute_0_4148,plain,
join(X_157,X_155) = join(X_155,X_157),
inference(resolve,[$cnf( $equal(join(X_155,X_157),join(X_157,X_155)) )],[refute_0_4146,refute_0_4147]) ).
cnf(refute_0_4149,plain,
( join(X_155,join(X_156,X_157)) != join(X_156,join(X_157,X_155))
| join(X_157,X_155) != join(X_155,X_157)
| join(X_155,join(X_156,X_157)) = join(X_156,join(X_155,X_157)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_155,join(X_156,X_157)),join(X_156,join(X_157,X_155))) ),[1,1],$fot(join(X_155,X_157))]]) ).
cnf(refute_0_4150,plain,
( join(X_155,join(X_156,X_157)) != join(X_156,join(X_157,X_155))
| join(X_155,join(X_156,X_157)) = join(X_156,join(X_155,X_157)) ),
inference(resolve,[$cnf( $equal(join(X_157,X_155),join(X_155,X_157)) )],[refute_0_4148,refute_0_4149]) ).
cnf(refute_0_4151,plain,
join(X_155,join(X_156,X_157)) = join(X_156,join(X_155,X_157)),
inference(resolve,[$cnf( $equal(join(X_155,join(X_156,X_157)),join(X_156,join(X_157,X_155))) )],[refute_0_4145,refute_0_4150]) ).
cnf(refute_0_4152,plain,
( join(X_155,join(X_156,X_157)) != join(X_156,join(X_155,X_157))
| join(X_156,join(X_155,X_157)) = join(X_155,join(X_156,X_157)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_155,join(X_156,X_157)))),bind(Y,$fot(join(X_156,join(X_155,X_157))))]]) ).
cnf(refute_0_4153,plain,
join(X_156,join(X_155,X_157)) = join(X_155,join(X_156,X_157)),
inference(resolve,[$cnf( $equal(join(X_155,join(X_156,X_157)),join(X_156,join(X_155,X_157))) )],[refute_0_4151,refute_0_4152]) ).
cnf(refute_0_4154,plain,
join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one))) = join(sk1,join(converse(meet(one,complement(converse(join(sk1,sk1))))),complement(one))),
inference(subst,[],[refute_0_4153:[bind(X_155,$fot(sk1)),bind(X_156,$fot(converse(meet(one,complement(converse(join(sk1,sk1))))))),bind(X_157,$fot(complement(one)))]]) ).
cnf(refute_0_4155,plain,
( join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one))) != join(sk1,join(converse(meet(one,complement(converse(join(sk1,sk1))))),complement(one)))
| join(sk1,join(converse(meet(one,complement(converse(join(sk1,sk1))))),complement(one))) != join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))
| join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one))) = join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one))))),bind(Y,$fot(join(sk1,join(converse(meet(one,complement(converse(join(sk1,sk1))))),complement(one))))),bind(Z,$fot(join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))))]]) ).
cnf(refute_0_4156,plain,
( join(sk1,join(converse(meet(one,complement(converse(join(sk1,sk1))))),complement(one))) != join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))
| join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one))) = join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one))),join(sk1,join(converse(meet(one,complement(converse(join(sk1,sk1))))),complement(one)))) )],[refute_0_4154,refute_0_4155]) ).
cnf(refute_0_4157,plain,
join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one))) = join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(meet(one,complement(converse(join(sk1,sk1))))),complement(one))),join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))) )],[refute_0_4144,refute_0_4156]) ).
cnf(refute_0_4158,plain,
converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) = join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one))),
inference(subst,[],[refute_0_1350:[bind(A,$fot(join(sk1,complement(one)))),bind(X_11,$fot(meet(one,complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_4159,plain,
( converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) != join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one)))
| join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one))) != join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))
| converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) = join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))))),bind(Y,$fot(join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one))))),bind(Z,$fot(join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))))]]) ).
cnf(refute_0_4160,plain,
( join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one))) != join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))
| converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) = join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))),join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one)))) )],[refute_0_4158,refute_0_4159]) ).
cnf(refute_0_4161,plain,
converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) = join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(join(sk1,sk1))))),join(sk1,complement(one))),join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))) )],[refute_0_4157,refute_0_4160]) ).
cnf(refute_0_4162,plain,
( converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) != join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))
| join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))) != join(sk1,converse(complement(converse(join(sk1,sk1)))))
| converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) = join(sk1,converse(complement(converse(join(sk1,sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))))),bind(Y,$fot(join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))))),bind(Z,$fot(join(sk1,converse(complement(converse(join(sk1,sk1)))))))]]) ).
cnf(refute_0_4163,plain,
( join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))) != join(sk1,converse(complement(converse(join(sk1,sk1)))))
| converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) = join(sk1,converse(complement(converse(join(sk1,sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))),join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1)))))))) )],[refute_0_4161,refute_0_4162]) ).
cnf(refute_0_4164,plain,
converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) = join(sk1,converse(complement(converse(join(sk1,sk1))))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(one),converse(meet(one,complement(converse(join(sk1,sk1))))))),join(sk1,converse(complement(converse(join(sk1,sk1)))))) )],[refute_0_4143,refute_0_4163]) ).
cnf(refute_0_4165,plain,
( converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) != converse(top)
| converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) != join(sk1,converse(complement(converse(join(sk1,sk1)))))
| join(sk1,converse(complement(converse(join(sk1,sk1))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))),converse(top)) ),[0],$fot(join(sk1,converse(complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_4166,plain,
( converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) != converse(top)
| join(sk1,converse(complement(converse(join(sk1,sk1))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))),join(sk1,converse(complement(converse(join(sk1,sk1)))))) )],[refute_0_4164,refute_0_4165]) ).
cnf(refute_0_4167,plain,
( converse(top) != top
| join(sk1,converse(complement(converse(join(sk1,sk1))))) != converse(top)
| join(sk1,converse(complement(converse(join(sk1,sk1))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(complement(converse(join(sk1,sk1))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_4168,plain,
( join(sk1,converse(complement(converse(join(sk1,sk1))))) != converse(top)
| join(sk1,converse(complement(converse(join(sk1,sk1))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_4167]) ).
cnf(refute_0_4169,plain,
( converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))) != converse(top)
| join(sk1,converse(complement(converse(join(sk1,sk1))))) = top ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(converse(join(sk1,sk1))))),converse(top)) )],[refute_0_4166,refute_0_4168]) ).
cnf(refute_0_4170,plain,
join(sk1,converse(complement(converse(join(sk1,sk1))))) = top,
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(join(sk1,sk1)))),converse(join(sk1,complement(one))))),converse(top)) )],[refute_0_4091,refute_0_4169]) ).
cnf(refute_0_4171,plain,
( converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) != converse(join(sk1,converse(complement(converse(join(sk1,sk1))))))
| join(sk1,converse(complement(converse(join(sk1,sk1))))) != top
| converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)),converse(join(sk1,converse(complement(converse(join(sk1,sk1))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4172,plain,
( converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) != converse(join(sk1,converse(complement(converse(join(sk1,sk1))))))
| converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(converse(join(sk1,sk1))))),top) )],[refute_0_4170,refute_0_4171]) ).
cnf(refute_0_4173,plain,
converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)),converse(join(sk1,converse(complement(converse(join(sk1,sk1))))))) )],[refute_0_3743,refute_0_4172]) ).
cnf(refute_0_4174,plain,
join(complement(converse(join(sk1,sk1))),converse(sk1)) = join(converse(sk1),complement(converse(join(sk1,sk1)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(sk1))),bind(B,$fot(complement(converse(join(sk1,sk1)))))]]) ).
cnf(refute_0_4175,plain,
converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) = join(complement(converse(join(sk1,sk1))),converse(sk1)),
inference(subst,[],[refute_0_705:[bind(A,$fot(complement(converse(join(sk1,sk1))))),bind(X_12,$fot(sk1))]]) ).
cnf(refute_0_4176,plain,
( converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) != join(complement(converse(join(sk1,sk1))),converse(sk1))
| join(complement(converse(join(sk1,sk1))),converse(sk1)) != join(converse(sk1),complement(converse(join(sk1,sk1))))
| converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) = join(converse(sk1),complement(converse(join(sk1,sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)))),bind(Y,$fot(join(complement(converse(join(sk1,sk1))),converse(sk1)))),bind(Z,$fot(join(converse(sk1),complement(converse(join(sk1,sk1))))))]]) ).
cnf(refute_0_4177,plain,
( join(complement(converse(join(sk1,sk1))),converse(sk1)) != join(converse(sk1),complement(converse(join(sk1,sk1))))
| converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) = join(converse(sk1),complement(converse(join(sk1,sk1)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)),join(complement(converse(join(sk1,sk1))),converse(sk1))) )],[refute_0_4175,refute_0_4176]) ).
cnf(refute_0_4178,plain,
converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) = join(converse(sk1),complement(converse(join(sk1,sk1)))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(sk1,sk1))),converse(sk1)),join(converse(sk1),complement(converse(join(sk1,sk1))))) )],[refute_0_4174,refute_0_4177]) ).
cnf(refute_0_4179,plain,
( converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) != converse(top)
| converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) != join(converse(sk1),complement(converse(join(sk1,sk1))))
| join(converse(sk1),complement(converse(join(sk1,sk1)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)),converse(top)) ),[0],$fot(join(converse(sk1),complement(converse(join(sk1,sk1)))))]]) ).
cnf(refute_0_4180,plain,
( converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) != converse(top)
| join(converse(sk1),complement(converse(join(sk1,sk1)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)),join(converse(sk1),complement(converse(join(sk1,sk1))))) )],[refute_0_4178,refute_0_4179]) ).
cnf(refute_0_4181,plain,
( converse(top) != top
| join(converse(sk1),complement(converse(join(sk1,sk1)))) != converse(top)
| join(converse(sk1),complement(converse(join(sk1,sk1)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),complement(converse(join(sk1,sk1)))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_4182,plain,
( join(converse(sk1),complement(converse(join(sk1,sk1)))) != converse(top)
| join(converse(sk1),complement(converse(join(sk1,sk1)))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_4181]) ).
cnf(refute_0_4183,plain,
( converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)) != converse(top)
| join(converse(sk1),complement(converse(join(sk1,sk1)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(converse(join(sk1,sk1)))),converse(top)) )],[refute_0_4180,refute_0_4182]) ).
cnf(refute_0_4184,plain,
join(converse(sk1),complement(converse(join(sk1,sk1)))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(join(sk1,sk1)))),sk1)),converse(top)) )],[refute_0_4173,refute_0_4183]) ).
cnf(refute_0_4185,plain,
( converse(join(sk1,sk1)) != meet(converse(join(sk1,sk1)),join(converse(sk1),complement(join(converse(sk1),complement(converse(join(sk1,sk1)))))))
| join(converse(sk1),complement(converse(join(sk1,sk1)))) != top
| converse(join(sk1,sk1)) = meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,sk1)),meet(converse(join(sk1,sk1)),join(converse(sk1),complement(join(converse(sk1),complement(converse(join(sk1,sk1)))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_4186,plain,
( converse(join(sk1,sk1)) != meet(converse(join(sk1,sk1)),join(converse(sk1),complement(join(converse(sk1),complement(converse(join(sk1,sk1)))))))
| converse(join(sk1,sk1)) = meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(converse(join(sk1,sk1)))),top) )],[refute_0_4184,refute_0_4185]) ).
cnf(refute_0_4187,plain,
converse(join(sk1,sk1)) = meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))),
inference(resolve,[$cnf( $equal(converse(join(sk1,sk1)),meet(converse(join(sk1,sk1)),join(converse(sk1),complement(join(converse(sk1),complement(converse(join(sk1,sk1)))))))) )],[refute_0_3742,refute_0_4186]) ).
cnf(refute_0_4188,plain,
converse(B) = meet(converse(B),join(converse(A),converse(B))),
inference(subst,[],[refute_0_1000:[bind(X_118,$fot(converse(A))),bind(X_119,$fot(converse(B)))]]) ).
cnf(refute_0_4189,plain,
( converse(B) != meet(converse(B),join(converse(A),converse(B)))
| join(converse(A),converse(B)) != converse(join(A,B))
| converse(B) = meet(converse(B),converse(join(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(B),meet(converse(B),join(converse(A),converse(B)))) ),[1,1],$fot(converse(join(A,B)))]]) ).
cnf(refute_0_4190,plain,
( converse(B) != meet(converse(B),join(converse(A),converse(B)))
| converse(B) = meet(converse(B),converse(join(A,B))) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(B)),converse(join(A,B))) )],[refute_0_849,refute_0_4189]) ).
cnf(refute_0_4191,plain,
converse(B) = meet(converse(B),converse(join(A,B))),
inference(resolve,[$cnf( $equal(converse(B),meet(converse(B),join(converse(A),converse(B)))) )],[refute_0_4188,refute_0_4190]) ).
cnf(refute_0_4192,plain,
( converse(B) != meet(converse(B),converse(join(A,B)))
| meet(converse(B),converse(join(A,B))) = converse(B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(B))),bind(Y,$fot(meet(converse(B),converse(join(A,B)))))]]) ).
cnf(refute_0_4193,plain,
meet(converse(B),converse(join(A,B))) = converse(B),
inference(resolve,[$cnf( $equal(converse(B),meet(converse(B),converse(join(A,B)))) )],[refute_0_4191,refute_0_4192]) ).
cnf(refute_0_4194,plain,
meet(converse(sk1),converse(join(sk1,sk1))) = converse(sk1),
inference(subst,[],[refute_0_4193:[bind(A,$fot(sk1)),bind(B,$fot(sk1))]]) ).
cnf(refute_0_4195,plain,
meet(converse(join(sk1,sk1)),converse(sk1)) = meet(converse(sk1),converse(join(sk1,sk1))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(sk1))),bind(X_7,$fot(converse(join(sk1,sk1))))]]) ).
cnf(refute_0_4196,plain,
( meet(converse(join(sk1,sk1)),converse(sk1)) != meet(converse(sk1),converse(join(sk1,sk1)))
| meet(converse(sk1),converse(join(sk1,sk1))) != converse(sk1)
| meet(converse(join(sk1,sk1)),converse(sk1)) = converse(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(join(sk1,sk1)),converse(sk1)))),bind(Y,$fot(meet(converse(sk1),converse(join(sk1,sk1))))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_4197,plain,
( meet(converse(sk1),converse(join(sk1,sk1))) != converse(sk1)
| meet(converse(join(sk1,sk1)),converse(sk1)) = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,sk1)),converse(sk1)),meet(converse(sk1),converse(join(sk1,sk1)))) )],[refute_0_4195,refute_0_4196]) ).
cnf(refute_0_4198,plain,
meet(converse(join(sk1,sk1)),converse(sk1)) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(join(sk1,sk1))),converse(sk1)) )],[refute_0_4194,refute_0_4197]) ).
cnf(refute_0_4199,plain,
join(zero,converse(sk1)) = converse(sk1),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(converse(sk1)))]]) ).
cnf(refute_0_4200,plain,
join(complement(top),converse(sk1)) = join(complement(top),converse(sk1)),
introduced(tautology,[refl,[$fot(join(complement(top),converse(sk1)))]]) ).
cnf(refute_0_4201,plain,
( complement(top) != zero
| join(complement(top),converse(sk1)) != join(complement(top),converse(sk1))
| join(complement(top),converse(sk1)) = join(zero,converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),converse(sk1)),join(complement(top),converse(sk1))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4202,plain,
( complement(top) != zero
| join(complement(top),converse(sk1)) = join(zero,converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(top),converse(sk1)),join(complement(top),converse(sk1))) )],[refute_0_4200,refute_0_4201]) ).
cnf(refute_0_4203,plain,
join(complement(top),converse(sk1)) = join(zero,converse(sk1)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_4202]) ).
cnf(refute_0_4204,plain,
( join(complement(top),converse(sk1)) != join(zero,converse(sk1))
| join(zero,converse(sk1)) != converse(sk1)
| join(complement(top),converse(sk1)) = converse(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(top),converse(sk1)))),bind(Y,$fot(join(zero,converse(sk1)))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_4205,plain,
( join(zero,converse(sk1)) != converse(sk1)
| join(complement(top),converse(sk1)) = converse(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(top),converse(sk1)),join(zero,converse(sk1))) )],[refute_0_4203,refute_0_4204]) ).
cnf(refute_0_4206,plain,
join(complement(top),converse(sk1)) = converse(sk1),
inference(resolve,[$cnf( $equal(join(zero,converse(sk1)),converse(sk1)) )],[refute_0_4199,refute_0_4205]) ).
cnf(refute_0_4207,plain,
join(converse(sk1),complement(top)) = join(complement(top),converse(sk1)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(converse(sk1)))]]) ).
cnf(refute_0_4208,plain,
( join(complement(top),converse(sk1)) != converse(sk1)
| join(converse(sk1),complement(top)) != join(complement(top),converse(sk1))
| join(converse(sk1),complement(top)) = converse(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),complement(top)))),bind(Y,$fot(join(complement(top),converse(sk1)))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_4209,plain,
( join(complement(top),converse(sk1)) != converse(sk1)
| join(converse(sk1),complement(top)) = converse(sk1) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(top)),join(complement(top),converse(sk1))) )],[refute_0_4207,refute_0_4208]) ).
cnf(refute_0_4210,plain,
join(converse(sk1),complement(top)) = converse(sk1),
inference(resolve,[$cnf( $equal(join(complement(top),converse(sk1)),converse(sk1)) )],[refute_0_4206,refute_0_4209]) ).
cnf(refute_0_4211,plain,
meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))) = meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))),
introduced(tautology,[refl,[$fot(meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))))]]) ).
cnf(refute_0_4212,plain,
( join(converse(sk1),complement(top)) != converse(sk1)
| meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))) != meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top)))
| meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))) = meet(converse(join(sk1,sk1)),converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))),meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top)))) ),[1,1],$fot(converse(sk1))]]) ).
cnf(refute_0_4213,plain,
( join(converse(sk1),complement(top)) != converse(sk1)
| meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))) = meet(converse(join(sk1,sk1)),converse(sk1)) ),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))),meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top)))) )],[refute_0_4211,refute_0_4212]) ).
cnf(refute_0_4214,plain,
meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))) = meet(converse(join(sk1,sk1)),converse(sk1)),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(top)),converse(sk1)) )],[refute_0_4210,refute_0_4213]) ).
cnf(refute_0_4215,plain,
( meet(converse(join(sk1,sk1)),converse(sk1)) != converse(sk1)
| meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))) != meet(converse(join(sk1,sk1)),converse(sk1))
| meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))) = converse(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))))),bind(Y,$fot(meet(converse(join(sk1,sk1)),converse(sk1)))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_4216,plain,
( meet(converse(join(sk1,sk1)),converse(sk1)) != converse(sk1)
| meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))),meet(converse(join(sk1,sk1)),converse(sk1))) )],[refute_0_4214,refute_0_4215]) ).
cnf(refute_0_4217,plain,
meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,sk1)),converse(sk1)),converse(sk1)) )],[refute_0_4198,refute_0_4216]) ).
cnf(refute_0_4218,plain,
( converse(join(sk1,sk1)) != meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top)))
| meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))) != converse(sk1)
| converse(join(sk1,sk1)) = converse(sk1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(sk1,sk1)),converse(sk1)) ),[0],$fot(meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))))]]) ).
cnf(refute_0_4219,plain,
( converse(join(sk1,sk1)) != meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top)))
| converse(join(sk1,sk1)) = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top))),converse(sk1)) )],[refute_0_4217,refute_0_4218]) ).
cnf(refute_0_4220,plain,
converse(join(sk1,sk1)) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(join(sk1,sk1)),meet(converse(join(sk1,sk1)),join(converse(sk1),complement(top)))) )],[refute_0_4187,refute_0_4219]) ).
cnf(refute_0_4221,plain,
( converse(join(join(sk1,sk1),B)) != join(converse(join(sk1,sk1)),converse(B))
| converse(join(sk1,sk1)) != converse(sk1)
| converse(join(join(sk1,sk1),B)) = join(converse(sk1),converse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(sk1,sk1),B)),join(converse(join(sk1,sk1)),converse(B))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_4222,plain,
( converse(join(join(sk1,sk1),B)) != join(converse(join(sk1,sk1)),converse(B))
| converse(join(join(sk1,sk1),B)) = join(converse(sk1),converse(B)) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,sk1)),converse(sk1)) )],[refute_0_4220,refute_0_4221]) ).
cnf(refute_0_4223,plain,
converse(join(join(sk1,sk1),B)) = join(converse(sk1),converse(B)),
inference(resolve,[$cnf( $equal(converse(join(join(sk1,sk1),B)),join(converse(join(sk1,sk1)),converse(B))) )],[refute_0_3741,refute_0_4222]) ).
cnf(refute_0_4224,plain,
join(join(sk1,sk1),B) = join(sk1,join(sk1,B)),
inference(subst,[],[refute_0_169:[bind(A,$fot(sk1)),bind(B,$fot(sk1)),bind(C,$fot(B))]]) ).
cnf(refute_0_4225,plain,
converse(join(join(sk1,sk1),B)) = converse(join(join(sk1,sk1),B)),
introduced(tautology,[refl,[$fot(converse(join(join(sk1,sk1),B)))]]) ).
cnf(refute_0_4226,plain,
( converse(join(join(sk1,sk1),B)) != converse(join(join(sk1,sk1),B))
| join(join(sk1,sk1),B) != join(sk1,join(sk1,B))
| converse(join(join(sk1,sk1),B)) = converse(join(sk1,join(sk1,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(sk1,sk1),B)),converse(join(join(sk1,sk1),B))) ),[1,0],$fot(join(sk1,join(sk1,B)))]]) ).
cnf(refute_0_4227,plain,
( join(join(sk1,sk1),B) != join(sk1,join(sk1,B))
| converse(join(join(sk1,sk1),B)) = converse(join(sk1,join(sk1,B))) ),
inference(resolve,[$cnf( $equal(converse(join(join(sk1,sk1),B)),converse(join(join(sk1,sk1),B))) )],[refute_0_4225,refute_0_4226]) ).
cnf(refute_0_4228,plain,
converse(join(join(sk1,sk1),B)) = converse(join(sk1,join(sk1,B))),
inference(resolve,[$cnf( $equal(join(join(sk1,sk1),B),join(sk1,join(sk1,B))) )],[refute_0_4224,refute_0_4227]) ).
cnf(refute_0_4229,plain,
( converse(join(join(sk1,sk1),B)) != converse(join(sk1,join(sk1,B)))
| converse(join(join(sk1,sk1),B)) != join(converse(sk1),converse(B))
| converse(join(sk1,join(sk1,B))) = join(converse(sk1),converse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(sk1,sk1),B)),join(converse(sk1),converse(B))) ),[0],$fot(converse(join(sk1,join(sk1,B))))]]) ).
cnf(refute_0_4230,plain,
( converse(join(join(sk1,sk1),B)) != join(converse(sk1),converse(B))
| converse(join(sk1,join(sk1,B))) = join(converse(sk1),converse(B)) ),
inference(resolve,[$cnf( $equal(converse(join(join(sk1,sk1),B)),converse(join(sk1,join(sk1,B)))) )],[refute_0_4228,refute_0_4229]) ).
cnf(refute_0_4231,plain,
join(converse(sk1),converse(B)) = converse(join(sk1,B)),
inference(subst,[],[refute_0_849:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_4232,plain,
( converse(join(sk1,join(sk1,B))) != join(converse(sk1),converse(B))
| join(converse(sk1),converse(B)) != converse(join(sk1,B))
| converse(join(sk1,join(sk1,B))) = converse(join(sk1,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(sk1,join(sk1,B))),converse(join(sk1,B))) ),[0],$fot(join(converse(sk1),converse(B)))]]) ).
cnf(refute_0_4233,plain,
( converse(join(sk1,join(sk1,B))) != join(converse(sk1),converse(B))
| converse(join(sk1,join(sk1,B))) = converse(join(sk1,B)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(B)),converse(join(sk1,B))) )],[refute_0_4231,refute_0_4232]) ).
cnf(refute_0_4234,plain,
( converse(join(join(sk1,sk1),B)) != join(converse(sk1),converse(B))
| converse(join(sk1,join(sk1,B))) = converse(join(sk1,B)) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(sk1,B))),join(converse(sk1),converse(B))) )],[refute_0_4230,refute_0_4233]) ).
cnf(refute_0_4235,plain,
converse(join(sk1,join(sk1,B))) = converse(join(sk1,B)),
inference(resolve,[$cnf( $equal(converse(join(join(sk1,sk1),B)),join(converse(sk1),converse(B))) )],[refute_0_4223,refute_0_4234]) ).
cnf(refute_0_4236,plain,
join(A,join(sk1,sk1)) = join(sk1,join(sk1,A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(sk1)),bind(X_32,$fot(sk1))]]) ).
cnf(refute_0_4237,plain,
converse(converse(join(sk1,sk1))) = join(sk1,sk1),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(sk1,sk1)))]]) ).
cnf(refute_0_4238,plain,
( converse(converse(join(sk1,sk1))) != join(sk1,sk1)
| converse(join(sk1,sk1)) != converse(sk1)
| converse(converse(sk1)) = join(sk1,sk1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(sk1,sk1))),join(sk1,sk1)) ),[0,0],$fot(converse(sk1))]]) ).
cnf(refute_0_4239,plain,
( converse(converse(join(sk1,sk1))) != join(sk1,sk1)
| converse(converse(sk1)) = join(sk1,sk1) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,sk1)),converse(sk1)) )],[refute_0_4220,refute_0_4238]) ).
cnf(refute_0_4240,plain,
converse(converse(sk1)) = join(sk1,sk1),
inference(resolve,[$cnf( $equal(converse(converse(join(sk1,sk1))),join(sk1,sk1)) )],[refute_0_4237,refute_0_4239]) ).
cnf(refute_0_4241,plain,
( converse(converse(sk1)) != join(sk1,sk1)
| converse(converse(sk1)) != sk1
| sk1 = join(sk1,sk1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(sk1)),join(sk1,sk1)) ),[0],$fot(sk1)]]) ).
cnf(refute_0_4242,plain,
( converse(converse(sk1)) != join(sk1,sk1)
| sk1 = join(sk1,sk1) ),
inference(resolve,[$cnf( $equal(converse(converse(sk1)),sk1) )],[refute_0_3330,refute_0_4241]) ).
cnf(refute_0_4243,plain,
sk1 = join(sk1,sk1),
inference(resolve,[$cnf( $equal(converse(converse(sk1)),join(sk1,sk1)) )],[refute_0_4240,refute_0_4242]) ).
cnf(refute_0_4244,plain,
( sk1 != join(sk1,sk1)
| join(sk1,sk1) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(join(sk1,sk1)))]]) ).
cnf(refute_0_4245,plain,
join(sk1,sk1) = sk1,
inference(resolve,[$cnf( $equal(sk1,join(sk1,sk1)) )],[refute_0_4243,refute_0_4244]) ).
cnf(refute_0_4246,plain,
( join(A,join(sk1,sk1)) != join(sk1,join(sk1,A))
| join(sk1,sk1) != sk1
| join(A,sk1) = join(sk1,join(sk1,A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(sk1,sk1)),join(sk1,join(sk1,A))) ),[0,1],$fot(sk1)]]) ).
cnf(refute_0_4247,plain,
( join(A,join(sk1,sk1)) != join(sk1,join(sk1,A))
| join(A,sk1) = join(sk1,join(sk1,A)) ),
inference(resolve,[$cnf( $equal(join(sk1,sk1),sk1) )],[refute_0_4245,refute_0_4246]) ).
cnf(refute_0_4248,plain,
join(A,sk1) = join(sk1,join(sk1,A)),
inference(resolve,[$cnf( $equal(join(A,join(sk1,sk1)),join(sk1,join(sk1,A))) )],[refute_0_4236,refute_0_4247]) ).
cnf(refute_0_4249,plain,
( join(A,sk1) != join(sk1,join(sk1,A))
| join(sk1,join(sk1,A)) = join(A,sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,sk1))),bind(Y,$fot(join(sk1,join(sk1,A))))]]) ).
cnf(refute_0_4250,plain,
join(sk1,join(sk1,A)) = join(A,sk1),
inference(resolve,[$cnf( $equal(join(A,sk1),join(sk1,join(sk1,A))) )],[refute_0_4248,refute_0_4249]) ).
cnf(refute_0_4251,plain,
join(sk1,join(sk1,B)) = join(B,sk1),
inference(subst,[],[refute_0_4250:[bind(A,$fot(B))]]) ).
cnf(refute_0_4252,plain,
converse(join(sk1,join(sk1,B))) = converse(join(sk1,join(sk1,B))),
introduced(tautology,[refl,[$fot(converse(join(sk1,join(sk1,B))))]]) ).
cnf(refute_0_4253,plain,
( converse(join(sk1,join(sk1,B))) != converse(join(sk1,join(sk1,B)))
| join(sk1,join(sk1,B)) != join(B,sk1)
| converse(join(sk1,join(sk1,B))) = converse(join(B,sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,join(sk1,B))),converse(join(sk1,join(sk1,B)))) ),[1,0],$fot(join(B,sk1))]]) ).
cnf(refute_0_4254,plain,
( join(sk1,join(sk1,B)) != join(B,sk1)
| converse(join(sk1,join(sk1,B))) = converse(join(B,sk1)) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(sk1,B))),converse(join(sk1,join(sk1,B)))) )],[refute_0_4252,refute_0_4253]) ).
cnf(refute_0_4255,plain,
converse(join(sk1,join(sk1,B))) = converse(join(B,sk1)),
inference(resolve,[$cnf( $equal(join(sk1,join(sk1,B)),join(B,sk1)) )],[refute_0_4251,refute_0_4254]) ).
cnf(refute_0_4256,plain,
( converse(join(sk1,join(sk1,B))) != converse(join(B,sk1))
| converse(join(sk1,join(sk1,B))) != converse(join(sk1,B))
| converse(join(B,sk1)) = converse(join(sk1,B)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,join(sk1,B))),converse(join(sk1,B))) ),[0],$fot(converse(join(B,sk1)))]]) ).
cnf(refute_0_4257,plain,
( converse(join(sk1,join(sk1,B))) != converse(join(sk1,B))
| converse(join(B,sk1)) = converse(join(sk1,B)) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(sk1,B))),converse(join(B,sk1))) )],[refute_0_4255,refute_0_4256]) ).
cnf(refute_0_4258,plain,
converse(join(B,sk1)) = converse(join(sk1,B)),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(sk1,B))),converse(join(sk1,B))) )],[refute_0_4235,refute_0_4257]) ).
cnf(refute_0_4259,plain,
converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) = converse(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))),
inference(subst,[],[refute_0_4258:[bind(B,$fot(converse(complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_4260,plain,
( converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) != converse(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))
| converse(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))) != join(converse(sk1),complement(converse(meet(one,complement(sk1)))))
| converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) = join(converse(sk1),complement(converse(meet(one,complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),bind(Y,$fot(converse(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))))),bind(Z,$fot(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_4261,plain,
( converse(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))) != join(converse(sk1),complement(converse(meet(one,complement(sk1)))))
| converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) = join(converse(sk1),complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)),converse(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_4259,refute_0_4260]) ).
cnf(refute_0_4262,plain,
converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) = join(converse(sk1),complement(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(converse(join(sk1,converse(complement(converse(meet(one,complement(sk1))))))),join(converse(sk1),complement(converse(meet(one,complement(sk1)))))) )],[refute_0_3740,refute_0_4261]) ).
cnf(refute_0_4263,plain,
complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))) = complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))),
introduced(tautology,[refl,[$fot(complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))))]]) ).
cnf(refute_0_4264,plain,
( complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))) != complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))
| converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) != join(converse(sk1),complement(converse(meet(one,complement(sk1)))))
| complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))) = complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) ),[1,0],$fot(join(converse(sk1),complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4265,plain,
( converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) != join(converse(sk1),complement(converse(meet(one,complement(sk1)))))
| complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))) = complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) )],[refute_0_4263,refute_0_4264]) ).
cnf(refute_0_4266,plain,
complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))) = complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)),join(converse(sk1),complement(converse(meet(one,complement(sk1)))))) )],[refute_0_4262,refute_0_4265]) ).
cnf(refute_0_4267,plain,
( complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))) != complement(join(converse(sk1),complement(converse(meet(one,complement(sk1))))))
| complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))))),bind(Y,$fot(complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))))),bind(Z,$fot(meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4268,plain,
( complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))),complement(join(converse(sk1),complement(converse(meet(one,complement(sk1))))))) )],[refute_0_4266,refute_0_4267]) ).
cnf(refute_0_4269,plain,
complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),complement(converse(meet(one,complement(sk1)))))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) )],[refute_0_3739,refute_0_4268]) ).
cnf(refute_0_4270,plain,
join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),
introduced(tautology,[refl,[$fot(join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))))]]) ).
cnf(refute_0_4271,plain,
( complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) != join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))))
| join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))))) ),[1,1],$fot(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4272,plain,
( complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))))) )],[refute_0_4270,refute_0_4271]) ).
cnf(refute_0_4273,plain,
join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) )],[refute_0_4269,refute_0_4272]) ).
cnf(refute_0_4274,plain,
converse(converse(complement(converse(meet(one,complement(sk1)))))) = complement(converse(meet(one,complement(sk1)))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4275,plain,
join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),
introduced(tautology,[refl,[$fot(join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))))]]) ).
cnf(refute_0_4276,plain,
( converse(converse(complement(converse(meet(one,complement(sk1)))))) != complement(converse(meet(one,complement(sk1))))
| join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) != join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))))
| join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))))) ),[1,0],$fot(complement(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4277,plain,
( converse(converse(complement(converse(meet(one,complement(sk1)))))) != complement(converse(meet(one,complement(sk1))))
| join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))))) )],[refute_0_4275,refute_0_4276]) ).
cnf(refute_0_4278,plain,
join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(meet(one,complement(sk1))))) )],[refute_0_4274,refute_0_4277]) ).
cnf(refute_0_4279,plain,
( join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) != join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))
| join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) != join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))))
| join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))))),bind(Y,$fot(join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))))),bind(Z,$fot(join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_4280,plain,
( join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) != join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))
| join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1))))) )],[refute_0_4278,refute_0_4279]) ).
cnf(refute_0_4281,plain,
join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) = join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(sk1)))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))) )],[refute_0_4273,refute_0_4280]) ).
cnf(refute_0_4282,plain,
( join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) != join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))
| join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) != top
| join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),top) ),[0],$fot(join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4283,plain,
( join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))) != top
| join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))) )],[refute_0_4281,refute_0_4282]) ).
cnf(refute_0_4284,plain,
join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) = top,
inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)))),top) )],[refute_0_3726,refute_0_4283]) ).
cnf(refute_0_4285,plain,
( complement(complement(converse(meet(one,complement(sk1))))) != meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))))
| join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) != top
| complement(complement(converse(meet(one,complement(sk1))))) = meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(meet(one,complement(sk1))))),meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_4286,plain,
( complement(complement(converse(meet(one,complement(sk1))))) != meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))))
| complement(complement(converse(meet(one,complement(sk1))))) = meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),top) )],[refute_0_4284,refute_0_4285]) ).
cnf(refute_0_4287,plain,
complement(complement(converse(meet(one,complement(sk1))))) = meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(sk1))))),meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(join(complement(converse(meet(one,complement(sk1)))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))))) )],[refute_0_3428,refute_0_4286]) ).
cnf(refute_0_4288,plain,
( complement(complement(converse(meet(one,complement(sk1))))) != converse(meet(one,complement(sk1)))
| complement(complement(converse(meet(one,complement(sk1))))) != meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))
| converse(meet(one,complement(sk1))) = meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(meet(one,complement(sk1))))),meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))) ),[0],$fot(converse(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4289,plain,
( complement(complement(converse(meet(one,complement(sk1))))) != meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))
| converse(meet(one,complement(sk1))) = meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(sk1))))),converse(meet(one,complement(sk1)))) )],[refute_0_2915,refute_0_4288]) ).
cnf(refute_0_4290,plain,
( meet(X_267,X_266) != meet(X_266,meet(X_267,X_266))
| meet(X_266,meet(X_267,X_266)) = meet(X_267,X_266) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_267,X_266))),bind(Y,$fot(meet(X_266,meet(X_267,X_266))))]]) ).
cnf(refute_0_4291,plain,
meet(X_266,meet(X_267,X_266)) = meet(X_267,X_266),
inference(resolve,[$cnf( $equal(meet(X_267,X_266),meet(X_266,meet(X_267,X_266))) )],[refute_0_3250,refute_0_4290]) ).
cnf(refute_0_4292,plain,
meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),
inference(subst,[],[refute_0_4291:[bind(X_266,$fot(converse(meet(one,complement(sk1))))),bind(X_267,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_4293,plain,
join(zero,meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4294,plain,
join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) = join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4295,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) != join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))
| join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) = join(zero,meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4296,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) = join(zero,meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))) )],[refute_0_4294,refute_0_4295]) ).
cnf(refute_0_4297,plain,
join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) = join(zero,meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_4296]) ).
cnf(refute_0_4298,plain,
( join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) != join(zero,meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))
| join(zero,meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))),bind(Y,$fot(join(zero,meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))),bind(Z,$fot(meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4299,plain,
( join(zero,meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),join(zero,meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))) )],[refute_0_4297,refute_0_4298]) ).
cnf(refute_0_4300,plain,
join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) )],[refute_0_4293,refute_0_4299]) ).
cnf(refute_0_4301,plain,
join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)) = join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))),bind(B,$fot(complement(top)))]]) ).
cnf(refute_0_4302,plain,
( join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)) != join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))
| join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))),bind(Z,$fot(meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4303,plain,
( join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)),join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))) )],[refute_0_4301,refute_0_4302]) ).
cnf(refute_0_4304,plain,
join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) )],[refute_0_4300,refute_0_4303]) ).
cnf(refute_0_4305,plain,
meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))),
introduced(tautology,[refl,[$fot(meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))))]]) ).
cnf(refute_0_4306,plain,
( join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) != meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))
| meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))),meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))) ),[1,1],$fot(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4307,plain,
( join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))),meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))) )],[refute_0_4305,refute_0_4306]) ).
cnf(refute_0_4308,plain,
meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) )],[refute_0_4304,refute_0_4307]) ).
cnf(refute_0_4309,plain,
meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))))]]) ).
cnf(refute_0_4310,plain,
( complement(complement(converse(meet(one,complement(sk1))))) != converse(meet(one,complement(sk1)))
| meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) != meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))
| meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))),meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))) ),[1,0],$fot(converse(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4311,plain,
( complement(complement(converse(meet(one,complement(sk1))))) != converse(meet(one,complement(sk1)))
| meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))),meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))) )],[refute_0_4309,refute_0_4310]) ).
cnf(refute_0_4312,plain,
meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(sk1))))),converse(meet(one,complement(sk1)))) )],[refute_0_2915,refute_0_4311]) ).
cnf(refute_0_4313,plain,
( meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) != meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))
| meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) != meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))
| meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))))),bind(Y,$fot(meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))))),bind(Z,$fot(meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_4314,plain,
( meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) != meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))
| meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))),meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))) )],[refute_0_4312,refute_0_4313]) ).
cnf(refute_0_4315,plain,
meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))),meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))) )],[refute_0_4308,refute_0_4314]) ).
cnf(refute_0_4316,plain,
( meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) != meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))
| meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))))),bind(Y,$fot(meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))),bind(Z,$fot(meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4317,plain,
( meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))),meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))))) )],[refute_0_4315,refute_0_4316]) ).
cnf(refute_0_4318,plain,
meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) )],[refute_0_4292,refute_0_4317]) ).
cnf(refute_0_4319,plain,
( converse(meet(one,complement(sk1))) != meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))
| meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| converse(meet(one,complement(sk1))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) ),[0],$fot(meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))))]]) ).
cnf(refute_0_4320,plain,
( converse(meet(one,complement(sk1))) != meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))
| converse(meet(one,complement(sk1))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) )],[refute_0_4318,refute_0_4319]) ).
cnf(refute_0_4321,plain,
( complement(complement(converse(meet(one,complement(sk1))))) != meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))
| converse(meet(one,complement(sk1))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(sk1))),meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))) )],[refute_0_4289,refute_0_4320]) ).
cnf(refute_0_4322,plain,
converse(meet(one,complement(sk1))) = meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(sk1))))),meet(complement(complement(converse(meet(one,complement(sk1))))),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),complement(top)))) )],[refute_0_4287,refute_0_4321]) ).
cnf(refute_0_4323,plain,
( converse(meet(one,complement(sk1))) != meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))
| meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) = converse(meet(one,complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(meet(one,complement(sk1))))),bind(Y,$fot(meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4324,plain,
meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) = converse(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(sk1))),meet(complement(converse(sk1)),converse(meet(one,complement(sk1))))) )],[refute_0_4322,refute_0_4323]) ).
cnf(refute_0_4325,plain,
( complement(converse(sk1)) != join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))))
| meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))) != converse(meet(one,complement(sk1)))
| complement(converse(sk1)) = join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(sk1)),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))))) ),[1,0],$fot(converse(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4326,plain,
( complement(converse(sk1)) != join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))))
| complement(converse(sk1)) = join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),converse(meet(one,complement(sk1)))) )],[refute_0_4324,refute_0_4325]) ).
cnf(refute_0_4327,plain,
complement(converse(sk1)) = join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(meet(complement(converse(sk1)),converse(meet(one,complement(sk1)))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))))) )],[refute_0_3427,refute_0_4326]) ).
cnf(refute_0_4328,plain,
converse(join(sk1,meet(one,complement(sk1)))) = converse(join(sk1,meet(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(converse(join(sk1,meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4329,plain,
( converse(join(sk1,meet(one,complement(sk1)))) != converse(join(sk1,meet(one,complement(sk1))))
| join(sk1,meet(one,complement(sk1))) != one
| converse(join(sk1,meet(one,complement(sk1)))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,meet(one,complement(sk1)))),converse(join(sk1,meet(one,complement(sk1))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4330,plain,
( join(sk1,meet(one,complement(sk1))) != one
| converse(join(sk1,meet(one,complement(sk1)))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,meet(one,complement(sk1)))),converse(join(sk1,meet(one,complement(sk1))))) )],[refute_0_4328,refute_0_4329]) ).
cnf(refute_0_4331,plain,
converse(join(sk1,meet(one,complement(sk1)))) = converse(one),
inference(resolve,[$cnf( $equal(join(sk1,meet(one,complement(sk1))),one) )],[refute_0_979,refute_0_4330]) ).
cnf(refute_0_4332,plain,
( converse(join(sk1,meet(one,complement(sk1)))) != converse(one)
| converse(one) != one
| converse(join(sk1,meet(one,complement(sk1)))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(sk1,meet(one,complement(sk1)))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4333,plain,
( converse(one) != one
| converse(join(sk1,meet(one,complement(sk1)))) = one ),
inference(resolve,[$cnf( $equal(converse(join(sk1,meet(one,complement(sk1)))),converse(one)) )],[refute_0_4331,refute_0_4332]) ).
cnf(refute_0_4334,plain,
converse(join(sk1,meet(one,complement(sk1)))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_4333]) ).
cnf(refute_0_4335,plain,
join(converse(sk1),converse(meet(one,complement(sk1)))) = converse(join(sk1,meet(one,complement(sk1)))),
inference(subst,[],[refute_0_849:[bind(A,$fot(sk1)),bind(B,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4336,plain,
( converse(join(sk1,meet(one,complement(sk1)))) != one
| join(converse(sk1),converse(meet(one,complement(sk1)))) != converse(join(sk1,meet(one,complement(sk1))))
| join(converse(sk1),converse(meet(one,complement(sk1)))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),converse(meet(one,complement(sk1)))))),bind(Y,$fot(converse(join(sk1,meet(one,complement(sk1)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4337,plain,
( converse(join(sk1,meet(one,complement(sk1)))) != one
| join(converse(sk1),converse(meet(one,complement(sk1)))) = one ),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(meet(one,complement(sk1)))),converse(join(sk1,meet(one,complement(sk1))))) )],[refute_0_4335,refute_0_4336]) ).
cnf(refute_0_4338,plain,
join(converse(sk1),converse(meet(one,complement(sk1)))) = one,
inference(resolve,[$cnf( $equal(converse(join(sk1,meet(one,complement(sk1)))),one) )],[refute_0_4334,refute_0_4337]) ).
cnf(refute_0_4339,plain,
complement(join(converse(sk1),converse(meet(one,complement(sk1))))) = complement(join(converse(sk1),converse(meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(complement(join(converse(sk1),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_4340,plain,
( complement(join(converse(sk1),converse(meet(one,complement(sk1))))) != complement(join(converse(sk1),converse(meet(one,complement(sk1)))))
| join(converse(sk1),converse(meet(one,complement(sk1)))) != one
| complement(join(converse(sk1),converse(meet(one,complement(sk1))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(sk1),converse(meet(one,complement(sk1))))),complement(join(converse(sk1),converse(meet(one,complement(sk1)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4341,plain,
( join(converse(sk1),converse(meet(one,complement(sk1)))) != one
| complement(join(converse(sk1),converse(meet(one,complement(sk1))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),converse(meet(one,complement(sk1))))),complement(join(converse(sk1),converse(meet(one,complement(sk1)))))) )],[refute_0_4339,refute_0_4340]) ).
cnf(refute_0_4342,plain,
complement(join(converse(sk1),converse(meet(one,complement(sk1))))) = complement(one),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(meet(one,complement(sk1)))),one) )],[refute_0_4338,refute_0_4341]) ).
cnf(refute_0_4343,plain,
complement(join(converse(meet(one,complement(sk1))),converse(sk1))) = complement(join(converse(sk1),converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_3210:[bind(A,$fot(converse(sk1))),bind(B,$fot(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4344,plain,
meet(complement(X_97),complement(X_299)) = complement(join(complement(complement(X_97)),X_299)),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(complement(X_97))),bind(X_281,$fot(X_299))]]) ).
cnf(refute_0_4345,plain,
( complement(complement(X_97)) != X_97
| meet(complement(X_97),complement(X_299)) != complement(join(complement(complement(X_97)),X_299))
| meet(complement(X_97),complement(X_299)) = complement(join(X_97,X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_97),complement(X_299)),complement(join(complement(complement(X_97)),X_299))) ),[1,0,0],$fot(X_97)]]) ).
cnf(refute_0_4346,plain,
( meet(complement(X_97),complement(X_299)) != complement(join(complement(complement(X_97)),X_299))
| meet(complement(X_97),complement(X_299)) = complement(join(X_97,X_299)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_4345]) ).
cnf(refute_0_4347,plain,
meet(complement(X_97),complement(X_299)) = complement(join(X_97,X_299)),
inference(resolve,[$cnf( $equal(meet(complement(X_97),complement(X_299)),complement(join(complement(complement(X_97)),X_299))) )],[refute_0_4344,refute_0_4346]) ).
cnf(refute_0_4348,plain,
meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))) = complement(join(converse(meet(one,complement(sk1))),converse(sk1))),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(converse(sk1))),bind(X_97,$fot(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4349,plain,
( complement(join(converse(meet(one,complement(sk1))),converse(sk1))) != complement(join(converse(sk1),converse(meet(one,complement(sk1)))))
| meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))) != complement(join(converse(meet(one,complement(sk1))),converse(sk1)))
| meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))) = complement(join(converse(sk1),converse(meet(one,complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))))),bind(Y,$fot(complement(join(converse(meet(one,complement(sk1))),converse(sk1))))),bind(Z,$fot(complement(join(converse(sk1),converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_4350,plain,
( complement(join(converse(meet(one,complement(sk1))),converse(sk1))) != complement(join(converse(sk1),converse(meet(one,complement(sk1)))))
| meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))) = complement(join(converse(sk1),converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))),complement(join(converse(meet(one,complement(sk1))),converse(sk1)))) )],[refute_0_4348,refute_0_4349]) ).
cnf(refute_0_4351,plain,
meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))) = complement(join(converse(sk1),converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(join(converse(meet(one,complement(sk1))),converse(sk1))),complement(join(converse(sk1),converse(meet(one,complement(sk1)))))) )],[refute_0_4343,refute_0_4350]) ).
cnf(refute_0_4352,plain,
( complement(join(converse(sk1),converse(meet(one,complement(sk1))))) != complement(one)
| meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))) != complement(join(converse(sk1),converse(meet(one,complement(sk1)))))
| meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))) = complement(one) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))))),bind(Y,$fot(complement(join(converse(sk1),converse(meet(one,complement(sk1))))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_4353,plain,
( complement(join(converse(sk1),converse(meet(one,complement(sk1))))) != complement(one)
| meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))) = complement(one) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))),complement(join(converse(sk1),converse(meet(one,complement(sk1)))))) )],[refute_0_4351,refute_0_4352]) ).
cnf(refute_0_4354,plain,
meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))) = complement(one),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),converse(meet(one,complement(sk1))))),complement(one)) )],[refute_0_4342,refute_0_4353]) ).
cnf(refute_0_4355,plain,
join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))) = join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))))]]) ).
cnf(refute_0_4356,plain,
( join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))) != join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))))
| meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))) != complement(one)
| join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))) = join(converse(meet(one,complement(sk1))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))),join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_4357,plain,
( meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))) != complement(one)
| join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))) = join(converse(meet(one,complement(sk1))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))),join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))))) )],[refute_0_4355,refute_0_4356]) ).
cnf(refute_0_4358,plain,
join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))) = join(converse(meet(one,complement(sk1))),complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))),complement(one)) )],[refute_0_4354,refute_0_4357]) ).
cnf(refute_0_4359,plain,
( join(converse(meet(one,complement(sk1))),complement(one)) != converse(complement(sk1))
| join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))) != join(converse(meet(one,complement(sk1))),complement(one))
| join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))) = converse(complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))))),bind(Y,$fot(join(converse(meet(one,complement(sk1))),complement(one)))),bind(Z,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_4360,plain,
( join(converse(meet(one,complement(sk1))),complement(one)) != converse(complement(sk1))
| join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))),join(converse(meet(one,complement(sk1))),complement(one))) )],[refute_0_4358,refute_0_4359]) ).
cnf(refute_0_4361,plain,
join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(one)),converse(complement(sk1))) )],[refute_0_2934,refute_0_4360]) ).
cnf(refute_0_4362,plain,
( complement(converse(sk1)) != join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))))
| join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))) != converse(complement(sk1))
| complement(converse(sk1)) = converse(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(sk1)),converse(complement(sk1))) ),[0],$fot(join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))))]]) ).
cnf(refute_0_4363,plain,
( complement(converse(sk1)) != join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))))
| complement(converse(sk1)) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1)))),converse(complement(sk1))) )],[refute_0_4361,refute_0_4362]) ).
cnf(refute_0_4364,plain,
complement(converse(sk1)) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(converse(meet(one,complement(sk1))),meet(complement(converse(meet(one,complement(sk1)))),complement(converse(sk1))))) )],[refute_0_4327,refute_0_4363]) ).
cnf(refute_0_4365,plain,
( complement(converse(sk1)) != converse(complement(sk1))
| converse(complement(sk1)) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(sk1)))),bind(Y,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_4366,plain,
converse(complement(sk1)) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),converse(complement(sk1))) )],[refute_0_4364,refute_0_4365]) ).
cnf(refute_0_4367,plain,
complement(converse(complement(sk1))) = complement(converse(complement(sk1))),
introduced(tautology,[refl,[$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_4368,plain,
( complement(converse(complement(sk1))) != complement(converse(complement(sk1)))
| converse(complement(sk1)) != complement(converse(sk1))
| complement(converse(complement(sk1))) = complement(complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(sk1))),complement(converse(complement(sk1)))) ),[1,0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_4369,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| complement(converse(complement(sk1))) = complement(complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(sk1))),complement(converse(complement(sk1)))) )],[refute_0_4367,refute_0_4368]) ).
cnf(refute_0_4370,plain,
complement(converse(complement(sk1))) = complement(complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_4366,refute_0_4369]) ).
cnf(refute_0_4371,plain,
( complement(complement(converse(sk1))) != converse(sk1)
| complement(converse(complement(sk1))) != complement(complement(converse(sk1)))
| complement(converse(complement(sk1))) = converse(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(complement(sk1))))),bind(Y,$fot(complement(complement(converse(sk1))))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_4372,plain,
( complement(complement(converse(sk1))) != converse(sk1)
| complement(converse(complement(sk1))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(sk1))),complement(complement(converse(sk1)))) )],[refute_0_4370,refute_0_4371]) ).
cnf(refute_0_4373,plain,
complement(converse(complement(sk1))) = converse(sk1),
inference(resolve,[$cnf( $equal(complement(complement(converse(sk1))),converse(sk1)) )],[refute_0_3426,refute_0_4372]) ).
cnf(refute_0_4374,plain,
composition(complement(sk1),complement(converse(complement(sk1)))) = composition(complement(sk1),complement(converse(complement(sk1)))),
introduced(tautology,[refl,[$fot(composition(complement(sk1),complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_4375,plain,
( complement(converse(complement(sk1))) != converse(sk1)
| composition(complement(sk1),complement(converse(complement(sk1)))) != composition(complement(sk1),complement(converse(complement(sk1))))
| composition(complement(sk1),complement(converse(complement(sk1)))) = composition(complement(sk1),converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(sk1),complement(converse(complement(sk1)))),composition(complement(sk1),complement(converse(complement(sk1))))) ),[1,1],$fot(converse(sk1))]]) ).
cnf(refute_0_4376,plain,
( complement(converse(complement(sk1))) != converse(sk1)
| composition(complement(sk1),complement(converse(complement(sk1)))) = composition(complement(sk1),converse(sk1)) ),
inference(resolve,[$cnf( $equal(composition(complement(sk1),complement(converse(complement(sk1)))),composition(complement(sk1),complement(converse(complement(sk1))))) )],[refute_0_4374,refute_0_4375]) ).
cnf(refute_0_4377,plain,
composition(complement(sk1),complement(converse(complement(sk1)))) = composition(complement(sk1),converse(sk1)),
inference(resolve,[$cnf( $equal(complement(converse(complement(sk1))),converse(sk1)) )],[refute_0_4373,refute_0_4376]) ).
cnf(refute_0_4378,plain,
join(complement(sk1),zero) = join(zero,complement(sk1)),
inference(subst,[],[refute_0_3644:[bind(X_190,$fot(zero))]]) ).
cnf(refute_0_4379,plain,
( join(complement(sk1),zero) != join(zero,complement(sk1))
| join(zero,complement(sk1)) != complement(sk1)
| join(complement(sk1),zero) = complement(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(sk1),zero))),bind(Y,$fot(join(zero,complement(sk1)))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_4380,plain,
( join(zero,complement(sk1)) != complement(sk1)
| join(complement(sk1),zero) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),zero),join(zero,complement(sk1))) )],[refute_0_4378,refute_0_4379]) ).
cnf(refute_0_4381,plain,
join(complement(sk1),zero) = complement(sk1),
inference(resolve,[$cnf( $equal(join(zero,complement(sk1)),complement(sk1)) )],[refute_0_1869,refute_0_4380]) ).
cnf(refute_0_4382,plain,
meet(converse(sk1),complement(converse(sk1))) = zero,
inference(subst,[],[refute_0_486:[bind(A,$fot(converse(sk1)))]]) ).
cnf(refute_0_4383,plain,
meet(converse(sk1),converse(complement(sk1))) = meet(converse(sk1),converse(complement(sk1))),
introduced(tautology,[refl,[$fot(meet(converse(sk1),converse(complement(sk1))))]]) ).
cnf(refute_0_4384,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| meet(converse(sk1),converse(complement(sk1))) != meet(converse(sk1),converse(complement(sk1)))
| meet(converse(sk1),converse(complement(sk1))) = meet(converse(sk1),complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),converse(complement(sk1))),meet(converse(sk1),converse(complement(sk1)))) ),[1,1],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_4385,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| meet(converse(sk1),converse(complement(sk1))) = meet(converse(sk1),complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(complement(sk1))),meet(converse(sk1),converse(complement(sk1)))) )],[refute_0_4383,refute_0_4384]) ).
cnf(refute_0_4386,plain,
meet(converse(sk1),converse(complement(sk1))) = meet(converse(sk1),complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_4366,refute_0_4385]) ).
cnf(refute_0_4387,plain,
( meet(converse(sk1),complement(converse(sk1))) != zero
| meet(converse(sk1),converse(complement(sk1))) != meet(converse(sk1),complement(converse(sk1)))
| meet(converse(sk1),converse(complement(sk1))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(sk1),converse(complement(sk1))))),bind(Y,$fot(meet(converse(sk1),complement(converse(sk1))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4388,plain,
( meet(converse(sk1),complement(converse(sk1))) != zero
| meet(converse(sk1),converse(complement(sk1))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(complement(sk1))),meet(converse(sk1),complement(converse(sk1)))) )],[refute_0_4386,refute_0_4387]) ).
cnf(refute_0_4389,plain,
meet(converse(sk1),converse(complement(sk1))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(converse(sk1))),zero) )],[refute_0_4382,refute_0_4388]) ).
cnf(refute_0_4390,plain,
converse(meet(converse(sk1),converse(complement(sk1)))) = converse(meet(converse(sk1),converse(complement(sk1)))),
introduced(tautology,[refl,[$fot(converse(meet(converse(sk1),converse(complement(sk1)))))]]) ).
cnf(refute_0_4391,plain,
( converse(meet(converse(sk1),converse(complement(sk1)))) != converse(meet(converse(sk1),converse(complement(sk1))))
| meet(converse(sk1),converse(complement(sk1))) != zero
| converse(meet(converse(sk1),converse(complement(sk1)))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(converse(sk1),converse(complement(sk1)))),converse(meet(converse(sk1),converse(complement(sk1))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4392,plain,
( meet(converse(sk1),converse(complement(sk1))) != zero
| converse(meet(converse(sk1),converse(complement(sk1)))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(meet(converse(sk1),converse(complement(sk1)))),converse(meet(converse(sk1),converse(complement(sk1))))) )],[refute_0_4390,refute_0_4391]) ).
cnf(refute_0_4393,plain,
converse(meet(converse(sk1),converse(complement(sk1)))) = converse(zero),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(complement(sk1))),zero) )],[refute_0_4389,refute_0_4392]) ).
cnf(refute_0_4394,plain,
( converse(meet(converse(sk1),converse(complement(sk1)))) != converse(zero)
| converse(zero) != zero
| converse(meet(converse(sk1),converse(complement(sk1)))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(meet(converse(sk1),converse(complement(sk1)))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4395,plain,
( converse(zero) != zero
| converse(meet(converse(sk1),converse(complement(sk1)))) = zero ),
inference(resolve,[$cnf( $equal(converse(meet(converse(sk1),converse(complement(sk1)))),converse(zero)) )],[refute_0_4393,refute_0_4394]) ).
cnf(refute_0_4396,plain,
converse(meet(converse(sk1),converse(complement(sk1)))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1322,refute_0_4395]) ).
cnf(refute_0_4397,plain,
join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))) = join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))))]]) ).
cnf(refute_0_4398,plain,
( converse(meet(converse(sk1),converse(complement(sk1)))) != zero
| join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))) != join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1)))))
| join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))) = join(complement(sk1),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_4399,plain,
( converse(meet(converse(sk1),converse(complement(sk1)))) != zero
| join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))) = join(complement(sk1),zero) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1)))))) )],[refute_0_4397,refute_0_4398]) ).
cnf(refute_0_4400,plain,
join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))) = join(complement(sk1),zero),
inference(resolve,[$cnf( $equal(converse(meet(converse(sk1),converse(complement(sk1)))),zero) )],[refute_0_4396,refute_0_4399]) ).
cnf(refute_0_4401,plain,
( join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))) != join(complement(sk1),zero)
| join(complement(sk1),zero) != complement(sk1)
| join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))) = complement(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))))),bind(Y,$fot(join(complement(sk1),zero))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_4402,plain,
( join(complement(sk1),zero) != complement(sk1)
| join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),join(complement(sk1),zero)) )],[refute_0_4400,refute_0_4401]) ).
cnf(refute_0_4403,plain,
join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))) = complement(sk1),
inference(resolve,[$cnf( $equal(join(complement(sk1),zero),complement(sk1)) )],[refute_0_4381,refute_0_4402]) ).
cnf(refute_0_4404,plain,
composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) = composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))),
introduced(tautology,[refl,[$fot(composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_4405,plain,
( composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) != composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))
| join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))) != complement(sk1)
| composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) = composition(complement(sk1),complement(converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_4406,plain,
( join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))) != complement(sk1)
| composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) = composition(complement(sk1),complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) )],[refute_0_4404,refute_0_4405]) ).
cnf(refute_0_4407,plain,
composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) = composition(complement(sk1),complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(sk1)) )],[refute_0_4403,refute_0_4406]) ).
cnf(refute_0_4408,plain,
( composition(complement(sk1),complement(converse(complement(sk1)))) != composition(complement(sk1),converse(sk1))
| composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) != composition(complement(sk1),complement(converse(complement(sk1))))
| composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) = composition(complement(sk1),converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))))),bind(Y,$fot(composition(complement(sk1),complement(converse(complement(sk1)))))),bind(Z,$fot(composition(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_4409,plain,
( composition(complement(sk1),complement(converse(complement(sk1)))) != composition(complement(sk1),converse(sk1))
| composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) = composition(complement(sk1),converse(sk1)) ),
inference(resolve,[$cnf( $equal(composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))),composition(complement(sk1),complement(converse(complement(sk1))))) )],[refute_0_4407,refute_0_4408]) ).
cnf(refute_0_4410,plain,
composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) = composition(complement(sk1),converse(sk1)),
inference(resolve,[$cnf( $equal(composition(complement(sk1),complement(converse(complement(sk1)))),composition(complement(sk1),converse(sk1))) )],[refute_0_4377,refute_0_4409]) ).
cnf(refute_0_4411,plain,
join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_4412,plain,
( composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) != composition(complement(sk1),converse(sk1))
| join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) != join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))))
| join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = join(complement(one),composition(complement(sk1),converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))),join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))))) ),[1,1],$fot(composition(complement(sk1),converse(sk1)))]]) ).
cnf(refute_0_4413,plain,
( composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))) != composition(complement(sk1),converse(sk1))
| join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = join(complement(one),composition(complement(sk1),converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))),join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))))) )],[refute_0_4411,refute_0_4412]) ).
cnf(refute_0_4414,plain,
join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) = join(complement(one),composition(complement(sk1),converse(sk1))),
inference(resolve,[$cnf( $equal(composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1)))),composition(complement(sk1),converse(sk1))) )],[refute_0_4410,refute_0_4413]) ).
cnf(refute_0_4415,plain,
( join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) != complement(one)
| join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) != join(complement(one),composition(complement(sk1),converse(sk1)))
| join(complement(one),composition(complement(sk1),converse(sk1))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))),complement(one)) ),[0],$fot(join(complement(one),composition(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_4416,plain,
( join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))) != complement(one)
| join(complement(one),composition(complement(sk1),converse(sk1))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))),join(complement(one),composition(complement(sk1),converse(sk1)))) )],[refute_0_4414,refute_0_4415]) ).
cnf(refute_0_4417,plain,
join(complement(one),composition(complement(sk1),converse(sk1))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(join(complement(sk1),converse(meet(converse(sk1),converse(complement(sk1))))),complement(converse(complement(sk1))))),complement(one)) )],[refute_0_3425,refute_0_4416]) ).
cnf(refute_0_4418,plain,
( complement(composition(complement(sk1),converse(sk1))) != join(complement(join(complement(one),composition(complement(sk1),converse(sk1)))),meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))
| join(complement(one),composition(complement(sk1),converse(sk1))) != complement(one)
| complement(composition(complement(sk1),converse(sk1))) = join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),join(complement(join(complement(one),composition(complement(sk1),converse(sk1)))),meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))) ),[1,0,0],$fot(complement(one))]]) ).
cnf(refute_0_4419,plain,
( complement(composition(complement(sk1),converse(sk1))) != join(complement(join(complement(one),composition(complement(sk1),converse(sk1)))),meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))
| complement(composition(complement(sk1),converse(sk1))) = join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(sk1),converse(sk1))),complement(one)) )],[refute_0_4417,refute_0_4418]) ).
cnf(refute_0_4420,plain,
complement(composition(complement(sk1),converse(sk1))) = join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))),
inference(resolve,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),join(complement(join(complement(one),composition(complement(sk1),converse(sk1)))),meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))) )],[refute_0_3238,refute_0_4419]) ).
cnf(refute_0_4421,plain,
complement(join(X_294,one)) = meet(complement(join(X_294,one)),join(complement(sk1),meet(sk1,complement(join(X_294,one))))),
inference(subst,[],[refute_0_3497:[bind(X_22,$fot(sk1)),bind(X_97,$fot(complement(join(X_294,one))))]]) ).
cnf(refute_0_4422,plain,
meet(complement(X_97),complement(one)) = complement(join(one,complement(complement(X_97)))),
inference(subst,[],[refute_0_3215:[bind(X_279,$fot(complement(X_97)))]]) ).
cnf(refute_0_4423,plain,
( complement(complement(X_97)) != X_97
| meet(complement(X_97),complement(one)) != complement(join(one,complement(complement(X_97))))
| meet(complement(X_97),complement(one)) = complement(join(one,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_97),complement(one)),complement(join(one,complement(complement(X_97))))) ),[1,0,1],$fot(X_97)]]) ).
cnf(refute_0_4424,plain,
( meet(complement(X_97),complement(one)) != complement(join(one,complement(complement(X_97))))
| meet(complement(X_97),complement(one)) = complement(join(one,X_97)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_4423]) ).
cnf(refute_0_4425,plain,
meet(complement(X_97),complement(one)) = complement(join(one,X_97)),
inference(resolve,[$cnf( $equal(meet(complement(X_97),complement(one)),complement(join(one,complement(complement(X_97))))) )],[refute_0_4422,refute_0_4424]) ).
cnf(refute_0_4426,plain,
meet(complement(join(complement(sk1),C)),complement(one)) = complement(join(one,join(complement(sk1),C))),
inference(subst,[],[refute_0_4425:[bind(X_97,$fot(join(complement(sk1),C)))]]) ).
cnf(refute_0_4427,plain,
join(top,C) = top,
inference(subst,[],[refute_0_459:[bind(X_31,$fot(C))]]) ).
cnf(refute_0_4428,plain,
join(one,join(top,C)) = join(one,join(top,C)),
introduced(tautology,[refl,[$fot(join(one,join(top,C)))]]) ).
cnf(refute_0_4429,plain,
( join(one,join(top,C)) != join(one,join(top,C))
| join(top,C) != top
| join(one,join(top,C)) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(top,C)),join(one,join(top,C))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4430,plain,
( join(top,C) != top
| join(one,join(top,C)) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(one,join(top,C)),join(one,join(top,C))) )],[refute_0_4428,refute_0_4429]) ).
cnf(refute_0_4431,plain,
join(one,join(top,C)) = join(one,top),
inference(resolve,[$cnf( $equal(join(top,C),top) )],[refute_0_4427,refute_0_4430]) ).
cnf(refute_0_4432,plain,
( join(one,join(top,C)) != join(one,top)
| join(one,top) != top
| join(one,join(top,C)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(top,C)))),bind(Y,$fot(join(one,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4433,plain,
( join(one,top) != top
| join(one,join(top,C)) = top ),
inference(resolve,[$cnf( $equal(join(one,join(top,C)),join(one,top)) )],[refute_0_4431,refute_0_4432]) ).
cnf(refute_0_4434,plain,
join(one,join(top,C)) = top,
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_903,refute_0_4433]) ).
cnf(refute_0_4435,plain,
( join(one,join(complement(sk1),C)) != join(one,join(top,C))
| join(one,join(top,C)) != top
| join(one,join(complement(sk1),C)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(complement(sk1),C)),top) ),[0],$fot(join(one,join(top,C)))]]) ).
cnf(refute_0_4436,plain,
( join(one,join(complement(sk1),C)) != join(one,join(top,C))
| join(one,join(complement(sk1),C)) = top ),
inference(resolve,[$cnf( $equal(join(one,join(top,C)),top) )],[refute_0_4434,refute_0_4435]) ).
cnf(refute_0_4437,plain,
join(one,join(complement(sk1),C)) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(sk1),C)),join(one,join(top,C))) )],[refute_0_1810,refute_0_4436]) ).
cnf(refute_0_4438,plain,
( join(one,join(complement(sk1),C)) != top
| meet(complement(join(complement(sk1),C)),complement(one)) != complement(join(one,join(complement(sk1),C)))
| meet(complement(join(complement(sk1),C)),complement(one)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(complement(sk1),C)),complement(one)),complement(join(one,join(complement(sk1),C)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4439,plain,
( meet(complement(join(complement(sk1),C)),complement(one)) != complement(join(one,join(complement(sk1),C)))
| meet(complement(join(complement(sk1),C)),complement(one)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(sk1),C)),top) )],[refute_0_4437,refute_0_4438]) ).
cnf(refute_0_4440,plain,
meet(complement(join(complement(sk1),C)),complement(one)) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(sk1),C)),complement(one)),complement(join(one,join(complement(sk1),C)))) )],[refute_0_4426,refute_0_4439]) ).
cnf(refute_0_4441,plain,
complement(join(complement(sk1),C)) = meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(join(one,join(complement(sk1),C))))))),
inference(subst,[],[refute_0_1092:[bind(X_97,$fot(join(complement(sk1),C)))]]) ).
cnf(refute_0_4442,plain,
( complement(join(complement(sk1),C)) != meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(join(one,join(complement(sk1),C)))))))
| join(one,join(complement(sk1),C)) != top
| complement(join(complement(sk1),C)) = meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(sk1),C)),meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(join(one,join(complement(sk1),C)))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_4443,plain,
( complement(join(complement(sk1),C)) != meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(join(one,join(complement(sk1),C)))))))
| complement(join(complement(sk1),C)) = meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(sk1),C)),top) )],[refute_0_4437,refute_0_4442]) ).
cnf(refute_0_4444,plain,
complement(join(complement(sk1),C)) = meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),C)),meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(join(one,join(complement(sk1),C)))))))) )],[refute_0_4441,refute_0_4443]) ).
cnf(refute_0_4445,plain,
meet(complement(join(complement(sk1),C)),one) = meet(one,complement(join(complement(sk1),C))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(join(complement(sk1),C))))]]) ).
cnf(refute_0_4446,plain,
meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))) = meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_4447,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))) != meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top)))))
| meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))) = meet(complement(join(complement(sk1),C)),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))),meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4448,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))) = meet(complement(join(complement(sk1),C)),one) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))),meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top)))))) )],[refute_0_4446,refute_0_4447]) ).
cnf(refute_0_4449,plain,
meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))) = meet(complement(join(complement(sk1),C)),one),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_962,refute_0_4448]) ).
cnf(refute_0_4450,plain,
( meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))) != meet(complement(join(complement(sk1),C)),one)
| meet(complement(join(complement(sk1),C)),one) != meet(one,complement(join(complement(sk1),C)))
| meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))) = meet(one,complement(join(complement(sk1),C))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(complement(join(complement(sk1),C)),one))),bind(Z,$fot(meet(one,complement(join(complement(sk1),C)))))]]) ).
cnf(refute_0_4451,plain,
( meet(complement(join(complement(sk1),C)),one) != meet(one,complement(join(complement(sk1),C)))
| meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))) = meet(one,complement(join(complement(sk1),C))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))),meet(complement(join(complement(sk1),C)),one)) )],[refute_0_4449,refute_0_4450]) ).
cnf(refute_0_4452,plain,
meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))) = meet(one,complement(join(complement(sk1),C))),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(sk1),C)),one),meet(one,complement(join(complement(sk1),C)))) )],[refute_0_4445,refute_0_4451]) ).
cnf(refute_0_4453,plain,
( complement(join(complement(sk1),C)) != meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top)))))
| meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))) != meet(one,complement(join(complement(sk1),C)))
| complement(join(complement(sk1),C)) = meet(one,complement(join(complement(sk1),C))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(complement(sk1),C)),meet(one,complement(join(complement(sk1),C)))) ),[0],$fot(meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_4454,plain,
( complement(join(complement(sk1),C)) != meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top)))))
| complement(join(complement(sk1),C)) = meet(one,complement(join(complement(sk1),C))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top))))),meet(one,complement(join(complement(sk1),C)))) )],[refute_0_4452,refute_0_4453]) ).
cnf(refute_0_4455,plain,
complement(join(complement(sk1),C)) = meet(one,complement(join(complement(sk1),C))),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),C)),meet(complement(join(complement(sk1),C)),converse(join(one,complement(converse(top)))))) )],[refute_0_4444,refute_0_4454]) ).
cnf(refute_0_4456,plain,
complement(join(complement(sk1),join(X_32,A))) = meet(one,complement(join(complement(sk1),join(X_32,A)))),
inference(subst,[],[refute_0_4455:[bind(C,$fot(join(X_32,A)))]]) ).
cnf(refute_0_4457,plain,
join(A,join(complement(sk1),X_32)) = join(complement(sk1),join(X_32,A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(complement(sk1)))]]) ).
cnf(refute_0_4458,plain,
( join(A,join(complement(sk1),X_32)) != join(complement(sk1),join(X_32,A))
| join(complement(sk1),join(X_32,A)) = join(A,join(complement(sk1),X_32)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(complement(sk1),X_32)))),bind(Y,$fot(join(complement(sk1),join(X_32,A))))]]) ).
cnf(refute_0_4459,plain,
join(complement(sk1),join(X_32,A)) = join(A,join(complement(sk1),X_32)),
inference(resolve,[$cnf( $equal(join(A,join(complement(sk1),X_32)),join(complement(sk1),join(X_32,A))) )],[refute_0_4457,refute_0_4458]) ).
cnf(refute_0_4460,plain,
( complement(join(complement(sk1),join(X_32,A))) != meet(one,complement(join(complement(sk1),join(X_32,A))))
| join(complement(sk1),join(X_32,A)) != join(A,join(complement(sk1),X_32))
| complement(join(A,join(complement(sk1),X_32))) = meet(one,complement(join(complement(sk1),join(X_32,A)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(sk1),join(X_32,A))),meet(one,complement(join(complement(sk1),join(X_32,A))))) ),[0,0],$fot(join(A,join(complement(sk1),X_32)))]]) ).
cnf(refute_0_4461,plain,
( complement(join(complement(sk1),join(X_32,A))) != meet(one,complement(join(complement(sk1),join(X_32,A))))
| complement(join(A,join(complement(sk1),X_32))) = meet(one,complement(join(complement(sk1),join(X_32,A)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),join(X_32,A)),join(A,join(complement(sk1),X_32))) )],[refute_0_4459,refute_0_4460]) ).
cnf(refute_0_4462,plain,
complement(join(A,join(complement(sk1),X_32))) = meet(one,complement(join(complement(sk1),join(X_32,A)))),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),join(X_32,A))),meet(one,complement(join(complement(sk1),join(X_32,A))))) )],[refute_0_4456,refute_0_4461]) ).
cnf(refute_0_4463,plain,
( complement(join(complement(sk1),C)) != meet(one,complement(join(complement(sk1),C)))
| meet(one,complement(join(complement(sk1),C))) = complement(join(complement(sk1),C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(complement(sk1),C)))),bind(Y,$fot(meet(one,complement(join(complement(sk1),C)))))]]) ).
cnf(refute_0_4464,plain,
meet(one,complement(join(complement(sk1),C))) = complement(join(complement(sk1),C)),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),C)),meet(one,complement(join(complement(sk1),C)))) )],[refute_0_4455,refute_0_4463]) ).
cnf(refute_0_4465,plain,
meet(one,complement(join(complement(sk1),join(X_32,A)))) = complement(join(complement(sk1),join(X_32,A))),
inference(subst,[],[refute_0_4464:[bind(C,$fot(join(X_32,A)))]]) ).
cnf(refute_0_4466,plain,
( complement(join(A,join(complement(sk1),X_32))) != meet(one,complement(join(complement(sk1),join(X_32,A))))
| meet(one,complement(join(complement(sk1),join(X_32,A)))) != complement(join(complement(sk1),join(X_32,A)))
| complement(join(A,join(complement(sk1),X_32))) = complement(join(complement(sk1),join(X_32,A))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(A,join(complement(sk1),X_32))),complement(join(complement(sk1),join(X_32,A)))) ),[0],$fot(meet(one,complement(join(complement(sk1),join(X_32,A)))))]]) ).
cnf(refute_0_4467,plain,
( complement(join(A,join(complement(sk1),X_32))) != meet(one,complement(join(complement(sk1),join(X_32,A))))
| complement(join(A,join(complement(sk1),X_32))) = complement(join(complement(sk1),join(X_32,A))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(complement(sk1),join(X_32,A)))),complement(join(complement(sk1),join(X_32,A)))) )],[refute_0_4465,refute_0_4466]) ).
cnf(refute_0_4468,plain,
complement(join(A,join(complement(sk1),X_32))) = complement(join(complement(sk1),join(X_32,A))),
inference(resolve,[$cnf( $equal(complement(join(A,join(complement(sk1),X_32))),meet(one,complement(join(complement(sk1),join(X_32,A))))) )],[refute_0_4462,refute_0_4467]) ).
cnf(refute_0_4469,plain,
complement(join(complement(sk1),join(X_32,A))) = meet(sk1,complement(join(X_32,A))),
inference(subst,[],[refute_0_3654:[bind(X_279,$fot(sk1)),bind(X_281,$fot(join(X_32,A)))]]) ).
cnf(refute_0_4470,plain,
( complement(join(A,join(complement(sk1),X_32))) != complement(join(complement(sk1),join(X_32,A)))
| complement(join(complement(sk1),join(X_32,A))) != meet(sk1,complement(join(X_32,A)))
| complement(join(A,join(complement(sk1),X_32))) = meet(sk1,complement(join(X_32,A))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(A,join(complement(sk1),X_32))),meet(sk1,complement(join(X_32,A)))) ),[0],$fot(complement(join(complement(sk1),join(X_32,A))))]]) ).
cnf(refute_0_4471,plain,
( complement(join(A,join(complement(sk1),X_32))) != complement(join(complement(sk1),join(X_32,A)))
| complement(join(A,join(complement(sk1),X_32))) = meet(sk1,complement(join(X_32,A))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),join(X_32,A))),meet(sk1,complement(join(X_32,A)))) )],[refute_0_4469,refute_0_4470]) ).
cnf(refute_0_4472,plain,
complement(join(A,join(complement(sk1),X_32))) = meet(sk1,complement(join(X_32,A))),
inference(resolve,[$cnf( $equal(complement(join(A,join(complement(sk1),X_32))),complement(join(complement(sk1),join(X_32,A)))) )],[refute_0_4468,refute_0_4471]) ).
cnf(refute_0_4473,plain,
complement(join(one,join(complement(sk1),C))) = meet(sk1,complement(join(C,one))),
inference(subst,[],[refute_0_4472:[bind(A,$fot(one)),bind(X_32,$fot(C))]]) ).
cnf(refute_0_4474,plain,
( complement(join(one,join(complement(sk1),C))) != meet(sk1,complement(join(C,one)))
| meet(complement(join(complement(sk1),C)),complement(one)) != complement(join(one,join(complement(sk1),C)))
| meet(complement(join(complement(sk1),C)),complement(one)) = meet(sk1,complement(join(C,one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(join(complement(sk1),C)),complement(one)))),bind(Y,$fot(complement(join(one,join(complement(sk1),C))))),bind(Z,$fot(meet(sk1,complement(join(C,one)))))]]) ).
cnf(refute_0_4475,plain,
( complement(join(one,join(complement(sk1),C))) != meet(sk1,complement(join(C,one)))
| meet(complement(join(complement(sk1),C)),complement(one)) = meet(sk1,complement(join(C,one))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(sk1),C)),complement(one)),complement(join(one,join(complement(sk1),C)))) )],[refute_0_4426,refute_0_4474]) ).
cnf(refute_0_4476,plain,
meet(complement(join(complement(sk1),C)),complement(one)) = meet(sk1,complement(join(C,one))),
inference(resolve,[$cnf( $equal(complement(join(one,join(complement(sk1),C))),meet(sk1,complement(join(C,one)))) )],[refute_0_4473,refute_0_4475]) ).
cnf(refute_0_4477,plain,
( meet(complement(join(complement(sk1),C)),complement(one)) != complement(top)
| meet(complement(join(complement(sk1),C)),complement(one)) != meet(sk1,complement(join(C,one)))
| meet(sk1,complement(join(C,one))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(complement(sk1),C)),complement(one)),complement(top)) ),[0],$fot(meet(sk1,complement(join(C,one))))]]) ).
cnf(refute_0_4478,plain,
( meet(complement(join(complement(sk1),C)),complement(one)) != complement(top)
| meet(sk1,complement(join(C,one))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(sk1),C)),complement(one)),meet(sk1,complement(join(C,one)))) )],[refute_0_4476,refute_0_4477]) ).
cnf(refute_0_4479,plain,
( complement(top) != zero
| meet(sk1,complement(join(C,one))) != complement(top)
| meet(sk1,complement(join(C,one))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(join(C,one))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_4480,plain,
( meet(sk1,complement(join(C,one))) != complement(top)
| meet(sk1,complement(join(C,one))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_4479]) ).
cnf(refute_0_4481,plain,
( meet(complement(join(complement(sk1),C)),complement(one)) != complement(top)
| meet(sk1,complement(join(C,one))) = zero ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(join(C,one))),complement(top)) )],[refute_0_4478,refute_0_4480]) ).
cnf(refute_0_4482,plain,
meet(sk1,complement(join(C,one))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(join(complement(sk1),C)),complement(one)),complement(top)) )],[refute_0_4440,refute_0_4481]) ).
cnf(refute_0_4483,plain,
meet(sk1,complement(join(X_294,one))) = zero,
inference(subst,[],[refute_0_4482:[bind(C,$fot(X_294))]]) ).
cnf(refute_0_4484,plain,
( complement(join(X_294,one)) != meet(complement(join(X_294,one)),join(complement(sk1),meet(sk1,complement(join(X_294,one)))))
| meet(sk1,complement(join(X_294,one))) != zero
| complement(join(X_294,one)) = meet(complement(join(X_294,one)),join(complement(sk1),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_294,one)),meet(complement(join(X_294,one)),join(complement(sk1),meet(sk1,complement(join(X_294,one)))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_4485,plain,
( complement(join(X_294,one)) != meet(complement(join(X_294,one)),join(complement(sk1),meet(sk1,complement(join(X_294,one)))))
| complement(join(X_294,one)) = meet(complement(join(X_294,one)),join(complement(sk1),zero)) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(join(X_294,one))),zero) )],[refute_0_4483,refute_0_4484]) ).
cnf(refute_0_4486,plain,
complement(join(X_294,one)) = meet(complement(join(X_294,one)),join(complement(sk1),zero)),
inference(resolve,[$cnf( $equal(complement(join(X_294,one)),meet(complement(join(X_294,one)),join(complement(sk1),meet(sk1,complement(join(X_294,one)))))) )],[refute_0_4421,refute_0_4485]) ).
cnf(refute_0_4487,plain,
join(one,join(sk1,X_294)) = join(one,X_294),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(X_294))]]) ).
cnf(refute_0_4488,plain,
complement(join(one,join(sk1,X_294))) = complement(join(one,join(sk1,X_294))),
introduced(tautology,[refl,[$fot(complement(join(one,join(sk1,X_294))))]]) ).
cnf(refute_0_4489,plain,
( complement(join(one,join(sk1,X_294))) != complement(join(one,join(sk1,X_294)))
| join(one,join(sk1,X_294)) != join(one,X_294)
| complement(join(one,join(sk1,X_294))) = complement(join(one,X_294)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,join(sk1,X_294))),complement(join(one,join(sk1,X_294)))) ),[1,0],$fot(join(one,X_294))]]) ).
cnf(refute_0_4490,plain,
( join(one,join(sk1,X_294)) != join(one,X_294)
| complement(join(one,join(sk1,X_294))) = complement(join(one,X_294)) ),
inference(resolve,[$cnf( $equal(complement(join(one,join(sk1,X_294))),complement(join(one,join(sk1,X_294)))) )],[refute_0_4488,refute_0_4489]) ).
cnf(refute_0_4491,plain,
complement(join(one,join(sk1,X_294))) = complement(join(one,X_294)),
inference(resolve,[$cnf( $equal(join(one,join(sk1,X_294)),join(one,X_294)) )],[refute_0_4487,refute_0_4490]) ).
cnf(refute_0_4492,plain,
meet(complement(join(X_31,X_32)),complement(one)) = complement(join(one,join(X_31,X_32))),
inference(subst,[],[refute_0_4425:[bind(X_97,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_4493,plain,
join(one,join(X_31,X_32)) = join(X_31,join(X_32,one)),
inference(subst,[],[refute_0_269:[bind(A,$fot(one))]]) ).
cnf(refute_0_4494,plain,
( join(one,join(X_31,X_32)) != join(X_31,join(X_32,one))
| meet(complement(join(X_31,X_32)),complement(one)) != complement(join(one,join(X_31,X_32)))
| meet(complement(join(X_31,X_32)),complement(one)) = complement(join(X_31,join(X_32,one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(X_31,X_32)),complement(one)),complement(join(one,join(X_31,X_32)))) ),[1,0],$fot(join(X_31,join(X_32,one)))]]) ).
cnf(refute_0_4495,plain,
( meet(complement(join(X_31,X_32)),complement(one)) != complement(join(one,join(X_31,X_32)))
| meet(complement(join(X_31,X_32)),complement(one)) = complement(join(X_31,join(X_32,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_31,X_32)),join(X_31,join(X_32,one))) )],[refute_0_4493,refute_0_4494]) ).
cnf(refute_0_4496,plain,
meet(complement(join(X_31,X_32)),complement(one)) = complement(join(X_31,join(X_32,one))),
inference(resolve,[$cnf( $equal(meet(complement(join(X_31,X_32)),complement(one)),complement(join(one,join(X_31,X_32)))) )],[refute_0_4492,refute_0_4495]) ).
cnf(refute_0_4497,plain,
( meet(complement(join(X_31,X_32)),complement(one)) != complement(join(X_31,join(X_32,one)))
| meet(complement(join(X_31,X_32)),complement(one)) != complement(join(one,join(X_31,X_32)))
| complement(join(one,join(X_31,X_32))) = complement(join(X_31,join(X_32,one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(X_31,X_32)),complement(one)),complement(join(X_31,join(X_32,one)))) ),[0],$fot(complement(join(one,join(X_31,X_32))))]]) ).
cnf(refute_0_4498,plain,
( meet(complement(join(X_31,X_32)),complement(one)) != complement(join(X_31,join(X_32,one)))
| complement(join(one,join(X_31,X_32))) = complement(join(X_31,join(X_32,one))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_31,X_32)),complement(one)),complement(join(one,join(X_31,X_32)))) )],[refute_0_4492,refute_0_4497]) ).
cnf(refute_0_4499,plain,
complement(join(one,join(X_31,X_32))) = complement(join(X_31,join(X_32,one))),
inference(resolve,[$cnf( $equal(meet(complement(join(X_31,X_32)),complement(one)),complement(join(X_31,join(X_32,one)))) )],[refute_0_4496,refute_0_4498]) ).
cnf(refute_0_4500,plain,
( complement(join(one,join(X_31,X_32))) != complement(join(X_31,join(X_32,one)))
| complement(join(X_31,join(X_32,one))) = complement(join(one,join(X_31,X_32))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(one,join(X_31,X_32))))),bind(Y,$fot(complement(join(X_31,join(X_32,one)))))]]) ).
cnf(refute_0_4501,plain,
complement(join(X_31,join(X_32,one))) = complement(join(one,join(X_31,X_32))),
inference(resolve,[$cnf( $equal(complement(join(one,join(X_31,X_32))),complement(join(X_31,join(X_32,one)))) )],[refute_0_4499,refute_0_4500]) ).
cnf(refute_0_4502,plain,
complement(join(sk1,join(X_294,one))) = complement(join(one,join(sk1,X_294))),
inference(subst,[],[refute_0_4501:[bind(X_31,$fot(sk1)),bind(X_32,$fot(X_294))]]) ).
cnf(refute_0_4503,plain,
( complement(join(one,join(sk1,X_294))) != complement(join(one,X_294))
| complement(join(sk1,join(X_294,one))) != complement(join(one,join(sk1,X_294)))
| complement(join(sk1,join(X_294,one))) = complement(join(one,X_294)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(sk1,join(X_294,one))))),bind(Y,$fot(complement(join(one,join(sk1,X_294))))),bind(Z,$fot(complement(join(one,X_294))))]]) ).
cnf(refute_0_4504,plain,
( complement(join(one,join(sk1,X_294))) != complement(join(one,X_294))
| complement(join(sk1,join(X_294,one))) = complement(join(one,X_294)) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,join(X_294,one))),complement(join(one,join(sk1,X_294)))) )],[refute_0_4502,refute_0_4503]) ).
cnf(refute_0_4505,plain,
complement(join(sk1,join(X_294,one))) = complement(join(one,X_294)),
inference(resolve,[$cnf( $equal(complement(join(one,join(sk1,X_294))),complement(join(one,X_294))) )],[refute_0_4491,refute_0_4504]) ).
cnf(refute_0_4506,plain,
meet(X_279,complement(meet(one,join(sk1,complement(one))))) = complement(join(complement(X_279),meet(one,join(sk1,complement(one))))),
inference(subst,[],[refute_0_1527:[bind(A,$fot(X_279)),bind(X_6,$fot(one)),bind(X_7,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_4507,plain,
( meet(X_279,complement(meet(one,join(sk1,complement(one))))) != complement(join(complement(X_279),meet(one,join(sk1,complement(one)))))
| meet(one,join(sk1,complement(one))) != sk1
| meet(X_279,complement(meet(one,join(sk1,complement(one))))) = complement(join(complement(X_279),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(one))))),complement(join(complement(X_279),meet(one,join(sk1,complement(one)))))) ),[1,0,1],$fot(sk1)]]) ).
cnf(refute_0_4508,plain,
( meet(X_279,complement(meet(one,join(sk1,complement(one))))) != complement(join(complement(X_279),meet(one,join(sk1,complement(one)))))
| meet(X_279,complement(meet(one,join(sk1,complement(one))))) = complement(join(complement(X_279),sk1)) ),
inference(resolve,[$cnf( $equal(meet(one,join(sk1,complement(one))),sk1) )],[refute_0_2329,refute_0_4507]) ).
cnf(refute_0_4509,plain,
meet(X_279,complement(meet(one,join(sk1,complement(one))))) = complement(join(complement(X_279),sk1)),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(one))))),complement(join(complement(X_279),meet(one,join(sk1,complement(one)))))) )],[refute_0_4506,refute_0_4508]) ).
cnf(refute_0_4510,plain,
meet(X_279,complement(meet(one,join(sk1,complement(one))))) = meet(X_279,complement(meet(one,join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(meet(X_279,complement(meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_4511,plain,
( complement(meet(one,join(sk1,complement(one)))) != complement(sk1)
| meet(X_279,complement(meet(one,join(sk1,complement(one))))) != meet(X_279,complement(meet(one,join(sk1,complement(one)))))
| meet(X_279,complement(meet(one,join(sk1,complement(one))))) = meet(X_279,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(one))))),meet(X_279,complement(meet(one,join(sk1,complement(one)))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_4512,plain,
( complement(meet(one,join(sk1,complement(one)))) != complement(sk1)
| meet(X_279,complement(meet(one,join(sk1,complement(one))))) = meet(X_279,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(one))))),meet(X_279,complement(meet(one,join(sk1,complement(one)))))) )],[refute_0_4510,refute_0_4511]) ).
cnf(refute_0_4513,plain,
meet(X_279,complement(meet(one,join(sk1,complement(one))))) = meet(X_279,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(meet(one,join(sk1,complement(one)))),complement(sk1)) )],[refute_0_2333,refute_0_4512]) ).
cnf(refute_0_4514,plain,
( meet(X_279,complement(meet(one,join(sk1,complement(one))))) != complement(join(complement(X_279),sk1))
| meet(X_279,complement(meet(one,join(sk1,complement(one))))) != meet(X_279,complement(sk1))
| meet(X_279,complement(sk1)) = complement(join(complement(X_279),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(one))))),complement(join(complement(X_279),sk1))) ),[0],$fot(meet(X_279,complement(sk1)))]]) ).
cnf(refute_0_4515,plain,
( meet(X_279,complement(meet(one,join(sk1,complement(one))))) != complement(join(complement(X_279),sk1))
| meet(X_279,complement(sk1)) = complement(join(complement(X_279),sk1)) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(one))))),meet(X_279,complement(sk1))) )],[refute_0_4513,refute_0_4514]) ).
cnf(refute_0_4516,plain,
complement(join(complement(X_279),sk1)) = complement(join(sk1,complement(X_279))),
inference(subst,[],[refute_0_3210:[bind(A,$fot(sk1)),bind(B,$fot(complement(X_279)))]]) ).
cnf(refute_0_4517,plain,
( complement(join(complement(X_279),sk1)) != complement(join(sk1,complement(X_279)))
| meet(X_279,complement(sk1)) != complement(join(complement(X_279),sk1))
| meet(X_279,complement(sk1)) = complement(join(sk1,complement(X_279))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(sk1)),complement(join(complement(X_279),sk1))) ),[1],$fot(complement(join(sk1,complement(X_279))))]]) ).
cnf(refute_0_4518,plain,
( meet(X_279,complement(sk1)) != complement(join(complement(X_279),sk1))
| meet(X_279,complement(sk1)) = complement(join(sk1,complement(X_279))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_279),sk1)),complement(join(sk1,complement(X_279)))) )],[refute_0_4516,refute_0_4517]) ).
cnf(refute_0_4519,plain,
( meet(X_279,complement(meet(one,join(sk1,complement(one))))) != complement(join(complement(X_279),sk1))
| meet(X_279,complement(sk1)) = complement(join(sk1,complement(X_279))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(sk1)),complement(join(complement(X_279),sk1))) )],[refute_0_4515,refute_0_4518]) ).
cnf(refute_0_4520,plain,
meet(X_279,complement(sk1)) = complement(join(sk1,complement(X_279))),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(one))))),complement(join(complement(X_279),sk1))) )],[refute_0_4509,refute_0_4519]) ).
cnf(refute_0_4521,plain,
meet(complement(X_97),complement(sk1)) = complement(join(sk1,complement(complement(X_97)))),
inference(subst,[],[refute_0_4520:[bind(X_279,$fot(complement(X_97)))]]) ).
cnf(refute_0_4522,plain,
( complement(complement(X_97)) != X_97
| meet(complement(X_97),complement(sk1)) != complement(join(sk1,complement(complement(X_97))))
| meet(complement(X_97),complement(sk1)) = complement(join(sk1,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_97),complement(sk1)),complement(join(sk1,complement(complement(X_97))))) ),[1,0,1],$fot(X_97)]]) ).
cnf(refute_0_4523,plain,
( meet(complement(X_97),complement(sk1)) != complement(join(sk1,complement(complement(X_97))))
| meet(complement(X_97),complement(sk1)) = complement(join(sk1,X_97)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_4522]) ).
cnf(refute_0_4524,plain,
meet(complement(X_97),complement(sk1)) = complement(join(sk1,X_97)),
inference(resolve,[$cnf( $equal(meet(complement(X_97),complement(sk1)),complement(join(sk1,complement(complement(X_97))))) )],[refute_0_4521,refute_0_4523]) ).
cnf(refute_0_4525,plain,
meet(complement(join(X_294,one)),complement(sk1)) = complement(join(sk1,join(X_294,one))),
inference(subst,[],[refute_0_4524:[bind(X_97,$fot(join(X_294,one)))]]) ).
cnf(refute_0_4526,plain,
( complement(join(sk1,join(X_294,one))) != complement(join(one,X_294))
| meet(complement(join(X_294,one)),complement(sk1)) != complement(join(sk1,join(X_294,one)))
| meet(complement(join(X_294,one)),complement(sk1)) = complement(join(one,X_294)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(join(X_294,one)),complement(sk1)))),bind(Y,$fot(complement(join(sk1,join(X_294,one))))),bind(Z,$fot(complement(join(one,X_294))))]]) ).
cnf(refute_0_4527,plain,
( complement(join(sk1,join(X_294,one))) != complement(join(one,X_294))
| meet(complement(join(X_294,one)),complement(sk1)) = complement(join(one,X_294)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_294,one)),complement(sk1)),complement(join(sk1,join(X_294,one)))) )],[refute_0_4525,refute_0_4526]) ).
cnf(refute_0_4528,plain,
meet(complement(join(X_294,one)),complement(sk1)) = complement(join(one,X_294)),
inference(resolve,[$cnf( $equal(complement(join(sk1,join(X_294,one))),complement(join(one,X_294))) )],[refute_0_4505,refute_0_4527]) ).
cnf(refute_0_4529,plain,
meet(complement(join(X_294,one)),join(complement(sk1),zero)) = meet(complement(join(X_294,one)),join(complement(sk1),zero)),
introduced(tautology,[refl,[$fot(meet(complement(join(X_294,one)),join(complement(sk1),zero)))]]) ).
cnf(refute_0_4530,plain,
( join(complement(sk1),zero) != complement(sk1)
| meet(complement(join(X_294,one)),join(complement(sk1),zero)) != meet(complement(join(X_294,one)),join(complement(sk1),zero))
| meet(complement(join(X_294,one)),join(complement(sk1),zero)) = meet(complement(join(X_294,one)),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(X_294,one)),join(complement(sk1),zero)),meet(complement(join(X_294,one)),join(complement(sk1),zero))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_4531,plain,
( join(complement(sk1),zero) != complement(sk1)
| meet(complement(join(X_294,one)),join(complement(sk1),zero)) = meet(complement(join(X_294,one)),complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_294,one)),join(complement(sk1),zero)),meet(complement(join(X_294,one)),join(complement(sk1),zero))) )],[refute_0_4529,refute_0_4530]) ).
cnf(refute_0_4532,plain,
meet(complement(join(X_294,one)),join(complement(sk1),zero)) = meet(complement(join(X_294,one)),complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(sk1),zero),complement(sk1)) )],[refute_0_4381,refute_0_4531]) ).
cnf(refute_0_4533,plain,
( meet(complement(join(X_294,one)),complement(sk1)) != complement(join(one,X_294))
| meet(complement(join(X_294,one)),join(complement(sk1),zero)) != meet(complement(join(X_294,one)),complement(sk1))
| meet(complement(join(X_294,one)),join(complement(sk1),zero)) = complement(join(one,X_294)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(join(X_294,one)),join(complement(sk1),zero)))),bind(Y,$fot(meet(complement(join(X_294,one)),complement(sk1)))),bind(Z,$fot(complement(join(one,X_294))))]]) ).
cnf(refute_0_4534,plain,
( meet(complement(join(X_294,one)),complement(sk1)) != complement(join(one,X_294))
| meet(complement(join(X_294,one)),join(complement(sk1),zero)) = complement(join(one,X_294)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_294,one)),join(complement(sk1),zero)),meet(complement(join(X_294,one)),complement(sk1))) )],[refute_0_4532,refute_0_4533]) ).
cnf(refute_0_4535,plain,
meet(complement(join(X_294,one)),join(complement(sk1),zero)) = complement(join(one,X_294)),
inference(resolve,[$cnf( $equal(meet(complement(join(X_294,one)),complement(sk1)),complement(join(one,X_294))) )],[refute_0_4528,refute_0_4534]) ).
cnf(refute_0_4536,plain,
( complement(join(X_294,one)) != meet(complement(join(X_294,one)),join(complement(sk1),zero))
| meet(complement(join(X_294,one)),join(complement(sk1),zero)) != complement(join(one,X_294))
| complement(join(X_294,one)) = complement(join(one,X_294)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X_294,one)),complement(join(one,X_294))) ),[0],$fot(meet(complement(join(X_294,one)),join(complement(sk1),zero)))]]) ).
cnf(refute_0_4537,plain,
( complement(join(X_294,one)) != meet(complement(join(X_294,one)),join(complement(sk1),zero))
| complement(join(X_294,one)) = complement(join(one,X_294)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_294,one)),join(complement(sk1),zero)),complement(join(one,X_294))) )],[refute_0_4535,refute_0_4536]) ).
cnf(refute_0_4538,plain,
complement(join(X_294,one)) = complement(join(one,X_294)),
inference(resolve,[$cnf( $equal(complement(join(X_294,one)),meet(complement(join(X_294,one)),join(complement(sk1),zero))) )],[refute_0_4486,refute_0_4537]) ).
cnf(refute_0_4539,plain,
complement(join(composition(complement(sk1),converse(sk1)),one)) = complement(join(one,composition(complement(sk1),converse(sk1)))),
inference(subst,[],[refute_0_4538:[bind(X_294,$fot(composition(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_4540,plain,
meet(complement(composition(complement(sk1),converse(sk1))),complement(one)) = complement(join(composition(complement(sk1),converse(sk1)),one)),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(one)),bind(X_97,$fot(composition(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_4541,plain,
( complement(join(composition(complement(sk1),converse(sk1)),one)) != complement(join(one,composition(complement(sk1),converse(sk1))))
| meet(complement(composition(complement(sk1),converse(sk1))),complement(one)) != complement(join(composition(complement(sk1),converse(sk1)),one))
| meet(complement(composition(complement(sk1),converse(sk1))),complement(one)) = complement(join(one,composition(complement(sk1),converse(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))),bind(Y,$fot(complement(join(composition(complement(sk1),converse(sk1)),one)))),bind(Z,$fot(complement(join(one,composition(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_4542,plain,
( complement(join(composition(complement(sk1),converse(sk1)),one)) != complement(join(one,composition(complement(sk1),converse(sk1))))
| meet(complement(composition(complement(sk1),converse(sk1))),complement(one)) = complement(join(one,composition(complement(sk1),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(sk1),converse(sk1))),complement(one)),complement(join(composition(complement(sk1),converse(sk1)),one))) )],[refute_0_4540,refute_0_4541]) ).
cnf(refute_0_4543,plain,
meet(complement(composition(complement(sk1),converse(sk1))),complement(one)) = complement(join(one,composition(complement(sk1),converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(join(composition(complement(sk1),converse(sk1)),one)),complement(join(one,composition(complement(sk1),converse(sk1))))) )],[refute_0_4539,refute_0_4542]) ).
cnf(refute_0_4544,plain,
join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) = join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))),
introduced(tautology,[refl,[$fot(join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))))]]) ).
cnf(refute_0_4545,plain,
( join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) != join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))
| meet(complement(composition(complement(sk1),converse(sk1))),complement(one)) != complement(join(one,composition(complement(sk1),converse(sk1))))
| join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) = join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))),join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))) ),[1,1],$fot(complement(join(one,composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_4546,plain,
( meet(complement(composition(complement(sk1),converse(sk1))),complement(one)) != complement(join(one,composition(complement(sk1),converse(sk1))))
| join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) = join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))),join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))) )],[refute_0_4544,refute_0_4545]) ).
cnf(refute_0_4547,plain,
join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) = join(one,complement(join(one,composition(complement(sk1),converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(sk1),converse(sk1))),complement(one)),complement(join(one,composition(complement(sk1),converse(sk1))))) )],[refute_0_4543,refute_0_4546]) ).
cnf(refute_0_4548,plain,
join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) = join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))),
introduced(tautology,[refl,[$fot(join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))))]]) ).
cnf(refute_0_4549,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) != join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))
| join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) = join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))),join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4550,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) = join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))),join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))) )],[refute_0_4548,refute_0_4549]) ).
cnf(refute_0_4551,plain,
join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) = join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3123,refute_0_4550]) ).
cnf(refute_0_4552,plain,
( join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) != join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))
| join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) != join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))
| join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) = join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))))),bind(Y,$fot(join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))))),bind(Z,$fot(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_4553,plain,
( join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) != join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))
| join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) = join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))),join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))) )],[refute_0_4551,refute_0_4552]) ).
cnf(refute_0_4554,plain,
join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) = join(one,complement(join(one,composition(complement(sk1),converse(sk1))))),
inference(resolve,[$cnf( $equal(join(one,meet(complement(composition(complement(sk1),converse(sk1))),complement(one))),join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) )],[refute_0_4547,refute_0_4553]) ).
cnf(refute_0_4555,plain,
( complement(composition(complement(sk1),converse(sk1))) != join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))
| join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))) != join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))
| complement(composition(complement(sk1),converse(sk1))) = join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(sk1),converse(sk1))),join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) ),[0],$fot(join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))))]]) ).
cnf(refute_0_4556,plain,
( complement(composition(complement(sk1),converse(sk1))) != join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))
| complement(composition(complement(sk1),converse(sk1))) = join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one))),join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) )],[refute_0_4554,refute_0_4555]) ).
cnf(refute_0_4557,plain,
complement(composition(complement(sk1),converse(sk1))) = join(one,complement(join(one,composition(complement(sk1),converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),join(complement(complement(one)),meet(complement(composition(complement(sk1),converse(sk1))),complement(one)))) )],[refute_0_4420,refute_0_4556]) ).
cnf(refute_0_4558,plain,
( complement(composition(complement(sk1),converse(sk1))) != join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))
| join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) = complement(composition(complement(sk1),converse(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(complement(sk1),converse(sk1))))),bind(Y,$fot(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_4559,plain,
join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) = complement(composition(complement(sk1),converse(sk1))),
inference(resolve,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) )],[refute_0_4557,refute_0_4558]) ).
cnf(refute_0_4560,plain,
( converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) != join(one,meet(complement(one),converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))))
| join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) != complement(composition(complement(sk1),converse(sk1)))
| converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) = join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))),join(one,meet(complement(one),converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))))) ),[1,1,1,0],$fot(complement(composition(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_4561,plain,
( converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) != join(one,meet(complement(one),converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))))
| converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) = join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(complement(sk1),converse(sk1))))),complement(composition(complement(sk1),converse(sk1)))) )],[refute_0_4559,refute_0_4560]) ).
cnf(refute_0_4562,plain,
converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) = join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))),join(one,meet(complement(one),converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))))) )],[refute_0_3229,refute_0_4561]) ).
cnf(refute_0_4563,plain,
converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) = converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_4564,plain,
( converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) != converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))
| join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) != complement(composition(complement(sk1),converse(sk1)))
| converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) = converse(complement(composition(complement(sk1),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))),converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))) ),[1,0],$fot(complement(composition(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_4565,plain,
( join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) != complement(composition(complement(sk1),converse(sk1)))
| converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) = converse(complement(composition(complement(sk1),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))),converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))) )],[refute_0_4563,refute_0_4564]) ).
cnf(refute_0_4566,plain,
converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) = converse(complement(composition(complement(sk1),converse(sk1)))),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(complement(sk1),converse(sk1))))),complement(composition(complement(sk1),converse(sk1)))) )],[refute_0_4559,refute_0_4565]) ).
cnf(refute_0_4567,plain,
( converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) != converse(complement(composition(complement(sk1),converse(sk1))))
| converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) != join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))
| converse(complement(composition(complement(sk1),converse(sk1)))) = join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))),join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) ),[0],$fot(converse(complement(composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_4568,plain,
( converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) != join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))
| converse(complement(composition(complement(sk1),converse(sk1)))) = join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))),converse(complement(composition(complement(sk1),converse(sk1))))) )],[refute_0_4566,refute_0_4567]) ).
cnf(refute_0_4569,plain,
converse(complement(composition(complement(sk1),converse(sk1)))) = join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))),join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) )],[refute_0_4562,refute_0_4568]) ).
cnf(refute_0_4570,plain,
( converse(complement(composition(complement(sk1),converse(sk1)))) != join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))
| join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))) = converse(complement(composition(complement(sk1),converse(sk1)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(composition(complement(sk1),converse(sk1)))))),bind(Y,$fot(join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))))]]) ).
cnf(refute_0_4571,plain,
join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))) = converse(complement(composition(complement(sk1),converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(sk1),converse(sk1)))),join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) )],[refute_0_4569,refute_0_4570]) ).
cnf(refute_0_4572,plain,
( join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) != join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))
| join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))) != converse(complement(composition(complement(sk1),converse(sk1))))
| join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) = converse(complement(composition(complement(sk1),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))),converse(complement(composition(complement(sk1),converse(sk1))))) ),[0],$fot(join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_4573,plain,
( join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) != join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))
| join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) = converse(complement(composition(complement(sk1),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))),converse(complement(composition(complement(sk1),converse(sk1))))) )],[refute_0_4571,refute_0_4572]) ).
cnf(refute_0_4574,plain,
join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) = converse(complement(composition(complement(sk1),converse(sk1)))),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))),join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) )],[refute_0_1495,refute_0_4573]) ).
cnf(refute_0_4575,plain,
join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)) = join(X_31,join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))),
inference(subst,[],[refute_0_269:[bind(A,$fot(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))),bind(X_32,$fot(one))]]) ).
cnf(refute_0_4576,plain,
( join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)) != join(X_31,join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))))
| join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))) != converse(complement(composition(complement(sk1),converse(sk1))))
| join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)) = join(X_31,converse(complement(composition(complement(sk1),converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)),join(X_31,join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))))) ),[1,1],$fot(converse(complement(composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_4577,plain,
( join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)) != join(X_31,join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))))
| join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)) = join(X_31,converse(complement(composition(complement(sk1),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))),converse(complement(composition(complement(sk1),converse(sk1))))) )],[refute_0_4571,refute_0_4576]) ).
cnf(refute_0_4578,plain,
join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)) = join(X_31,converse(complement(composition(complement(sk1),converse(sk1))))),
inference(resolve,[$cnf( $equal(join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)),join(X_31,join(one,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))))) )],[refute_0_4575,refute_0_4577]) ).
cnf(refute_0_4579,plain,
join(X_157,X_156) = join(X_156,X_157),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_157)),bind(B,$fot(X_156))]]) ).
cnf(refute_0_4580,plain,
( join(X_157,X_156) != join(X_156,X_157)
| join(X_156,X_157) = join(X_157,X_156) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_157,X_156))),bind(Y,$fot(join(X_156,X_157)))]]) ).
cnf(refute_0_4581,plain,
join(X_156,X_157) = join(X_157,X_156),
inference(resolve,[$cnf( $equal(join(X_157,X_156),join(X_156,X_157)) )],[refute_0_4579,refute_0_4580]) ).
cnf(refute_0_4582,plain,
( join(X_155,join(X_156,X_157)) != join(X_156,join(X_157,X_155))
| join(X_156,X_157) != join(X_157,X_156)
| join(X_155,join(X_157,X_156)) = join(X_156,join(X_157,X_155)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_155,join(X_156,X_157)),join(X_156,join(X_157,X_155))) ),[0,1],$fot(join(X_157,X_156))]]) ).
cnf(refute_0_4583,plain,
( join(X_155,join(X_156,X_157)) != join(X_156,join(X_157,X_155))
| join(X_155,join(X_157,X_156)) = join(X_156,join(X_157,X_155)) ),
inference(resolve,[$cnf( $equal(join(X_156,X_157),join(X_157,X_156)) )],[refute_0_4581,refute_0_4582]) ).
cnf(refute_0_4584,plain,
join(X_155,join(X_157,X_156)) = join(X_156,join(X_157,X_155)),
inference(resolve,[$cnf( $equal(join(X_155,join(X_156,X_157)),join(X_156,join(X_157,X_155))) )],[refute_0_4145,refute_0_4583]) ).
cnf(refute_0_4585,plain,
( join(X_155,join(X_157,X_156)) != join(X_156,join(X_157,X_155))
| join(X_156,join(X_157,X_155)) = join(X_155,join(X_157,X_156)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_155,join(X_157,X_156)))),bind(Y,$fot(join(X_156,join(X_157,X_155))))]]) ).
cnf(refute_0_4586,plain,
join(X_156,join(X_157,X_155)) = join(X_155,join(X_157,X_156)),
inference(resolve,[$cnf( $equal(join(X_155,join(X_157,X_156)),join(X_156,join(X_157,X_155))) )],[refute_0_4584,refute_0_4585]) ).
cnf(refute_0_4587,plain,
join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)) = join(one,join(X_31,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))),
inference(subst,[],[refute_0_4586:[bind(X_155,$fot(one)),bind(X_156,$fot(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))),bind(X_157,$fot(X_31))]]) ).
cnf(refute_0_4588,plain,
( join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)) != join(X_31,converse(complement(composition(complement(sk1),converse(sk1)))))
| join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)) != join(one,join(X_31,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))))
| join(one,join(X_31,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) = join(X_31,converse(complement(composition(complement(sk1),converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)),join(X_31,converse(complement(composition(complement(sk1),converse(sk1)))))) ),[0],$fot(join(one,join(X_31,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))))]]) ).
cnf(refute_0_4589,plain,
( join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)) != join(X_31,converse(complement(composition(complement(sk1),converse(sk1)))))
| join(one,join(X_31,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) = join(X_31,converse(complement(composition(complement(sk1),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)),join(one,join(X_31,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1)))))))) )],[refute_0_4587,refute_0_4588]) ).
cnf(refute_0_4590,plain,
join(one,join(X_31,meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) = join(X_31,converse(complement(composition(complement(sk1),converse(sk1))))),
inference(resolve,[$cnf( $equal(join(meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))),join(X_31,one)),join(X_31,converse(complement(composition(complement(sk1),converse(sk1)))))) )],[refute_0_4578,refute_0_4589]) ).
cnf(refute_0_4591,plain,
join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) = join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))),
inference(subst,[],[refute_0_4590:[bind(X_31,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4592,plain,
( join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) != converse(complement(composition(complement(sk1),converse(sk1))))
| join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) != join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1)))))
| join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))) = converse(complement(composition(complement(sk1),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))),converse(complement(composition(complement(sk1),converse(sk1))))) ),[0],$fot(join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_4593,plain,
( join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))) != converse(complement(composition(complement(sk1),converse(sk1))))
| join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))) = converse(complement(composition(complement(sk1),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))),join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1)))))) )],[refute_0_4591,refute_0_4592]) ).
cnf(refute_0_4594,plain,
join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))) = converse(complement(composition(complement(sk1),converse(sk1)))),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,complement(sk1)),meet(complement(one),converse(complement(composition(complement(sk1),converse(sk1))))))),converse(complement(composition(complement(sk1),converse(sk1))))) )],[refute_0_4574,refute_0_4593]) ).
cnf(refute_0_4595,plain,
composition(sk1,converse(complement(sk1))) = composition(sk1,converse(complement(sk1))),
introduced(tautology,[refl,[$fot(composition(sk1,converse(complement(sk1))))]]) ).
cnf(refute_0_4596,plain,
( composition(sk1,converse(complement(sk1))) != composition(sk1,converse(complement(sk1)))
| converse(complement(sk1)) != complement(converse(sk1))
| composition(sk1,converse(complement(sk1))) = composition(sk1,complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(sk1,converse(complement(sk1))),composition(sk1,converse(complement(sk1)))) ),[1,1],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_4597,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| composition(sk1,converse(complement(sk1))) = composition(sk1,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(composition(sk1,converse(complement(sk1))),composition(sk1,converse(complement(sk1)))) )],[refute_0_4595,refute_0_4596]) ).
cnf(refute_0_4598,plain,
composition(sk1,converse(complement(sk1))) = composition(sk1,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_4366,refute_0_4597]) ).
cnf(refute_0_4599,plain,
converse(composition(complement(sk1),converse(sk1))) = composition(sk1,converse(complement(sk1))),
inference(subst,[],[refute_0_1995:[bind(A,$fot(sk1)),bind(X_18,$fot(complement(sk1)))]]) ).
cnf(refute_0_4600,plain,
( composition(sk1,converse(complement(sk1))) != composition(sk1,complement(converse(sk1)))
| converse(composition(complement(sk1),converse(sk1))) != composition(sk1,converse(complement(sk1)))
| converse(composition(complement(sk1),converse(sk1))) = composition(sk1,complement(converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(composition(complement(sk1),converse(sk1))))),bind(Y,$fot(composition(sk1,converse(complement(sk1))))),bind(Z,$fot(composition(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_4601,plain,
( composition(sk1,converse(complement(sk1))) != composition(sk1,complement(converse(sk1)))
| converse(composition(complement(sk1),converse(sk1))) = composition(sk1,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(sk1),converse(sk1))),composition(sk1,converse(complement(sk1)))) )],[refute_0_4599,refute_0_4600]) ).
cnf(refute_0_4602,plain,
converse(composition(complement(sk1),converse(sk1))) = composition(sk1,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(composition(sk1,converse(complement(sk1))),composition(sk1,complement(converse(sk1)))) )],[refute_0_4598,refute_0_4601]) ).
cnf(refute_0_4603,plain,
complement(converse(composition(complement(sk1),converse(sk1)))) = complement(converse(composition(complement(sk1),converse(sk1)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_4604,plain,
( complement(converse(composition(complement(sk1),converse(sk1)))) != complement(converse(composition(complement(sk1),converse(sk1))))
| converse(composition(complement(sk1),converse(sk1))) != composition(sk1,complement(converse(sk1)))
| complement(converse(composition(complement(sk1),converse(sk1)))) = complement(composition(sk1,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(complement(sk1),converse(sk1)))),complement(converse(composition(complement(sk1),converse(sk1))))) ),[1,0],$fot(composition(sk1,complement(converse(sk1))))]]) ).
cnf(refute_0_4605,plain,
( converse(composition(complement(sk1),converse(sk1))) != composition(sk1,complement(converse(sk1)))
| complement(converse(composition(complement(sk1),converse(sk1)))) = complement(composition(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(sk1),converse(sk1)))),complement(converse(composition(complement(sk1),converse(sk1))))) )],[refute_0_4603,refute_0_4604]) ).
cnf(refute_0_4606,plain,
complement(converse(composition(complement(sk1),converse(sk1)))) = complement(composition(sk1,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(sk1),converse(sk1))),composition(sk1,complement(converse(sk1)))) )],[refute_0_4602,refute_0_4605]) ).
cnf(refute_0_4607,plain,
X_117 = join(meet(X_117,meet(X_117,X_348)),meet(complement(meet(X_117,X_348)),X_117)),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(meet(X_117,X_348)))]]) ).
cnf(refute_0_4608,plain,
meet(A,B) = meet(meet(A,B),join(meet(A,B),complement(join(complement(A),B)))),
inference(subst,[],[refute_0_677:[bind(X_33,$fot(complement(join(complement(A),B)))),bind(X_97,$fot(meet(A,B)))]]) ).
cnf(refute_0_4609,plain,
( join(meet(A,B),complement(join(complement(A),B))) != A
| meet(A,B) != meet(meet(A,B),join(meet(A,B),complement(join(complement(A),B))))
| meet(A,B) = meet(meet(A,B),A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,B),meet(meet(A,B),join(meet(A,B),complement(join(complement(A),B))))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_4610,plain,
( meet(A,B) != meet(meet(A,B),join(meet(A,B),complement(join(complement(A),B))))
| meet(A,B) = meet(meet(A,B),A) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),complement(join(complement(A),B))),A) )],[refute_0_511,refute_0_4609]) ).
cnf(refute_0_4611,plain,
meet(A,B) = meet(meet(A,B),A),
inference(resolve,[$cnf( $equal(meet(A,B),meet(meet(A,B),join(meet(A,B),complement(join(complement(A),B))))) )],[refute_0_4608,refute_0_4610]) ).
cnf(refute_0_4612,plain,
meet(meet(A,B),A) = meet(A,meet(A,B)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(A)),bind(X_7,$fot(meet(A,B)))]]) ).
cnf(refute_0_4613,plain,
( meet(A,B) != meet(meet(A,B),A)
| meet(meet(A,B),A) != meet(A,meet(A,B))
| meet(A,B) = meet(A,meet(A,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(A,B),meet(A,meet(A,B))) ),[0],$fot(meet(meet(A,B),A))]]) ).
cnf(refute_0_4614,plain,
( meet(A,B) != meet(meet(A,B),A)
| meet(A,B) = meet(A,meet(A,B)) ),
inference(resolve,[$cnf( $equal(meet(meet(A,B),A),meet(A,meet(A,B))) )],[refute_0_4612,refute_0_4613]) ).
cnf(refute_0_4615,plain,
meet(A,B) = meet(A,meet(A,B)),
inference(resolve,[$cnf( $equal(meet(A,B),meet(meet(A,B),A)) )],[refute_0_4611,refute_0_4614]) ).
cnf(refute_0_4616,plain,
meet(X_117,X_348) = meet(X_117,meet(X_117,X_348)),
inference(subst,[],[refute_0_4615:[bind(A,$fot(X_117)),bind(B,$fot(X_348))]]) ).
cnf(refute_0_4617,plain,
( meet(X_117,X_348) != meet(X_117,meet(X_117,X_348))
| meet(X_117,meet(X_117,X_348)) = meet(X_117,X_348) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_117,X_348))),bind(Y,$fot(meet(X_117,meet(X_117,X_348))))]]) ).
cnf(refute_0_4618,plain,
meet(X_117,meet(X_117,X_348)) = meet(X_117,X_348),
inference(resolve,[$cnf( $equal(meet(X_117,X_348),meet(X_117,meet(X_117,X_348))) )],[refute_0_4616,refute_0_4617]) ).
cnf(refute_0_4619,plain,
( X_117 != join(meet(X_117,meet(X_117,X_348)),meet(complement(meet(X_117,X_348)),X_117))
| meet(X_117,meet(X_117,X_348)) != meet(X_117,X_348)
| X_117 = join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(X_117,join(meet(X_117,meet(X_117,X_348)),meet(complement(meet(X_117,X_348)),X_117))) ),[1,0],$fot(meet(X_117,X_348))]]) ).
cnf(refute_0_4620,plain,
( X_117 != join(meet(X_117,meet(X_117,X_348)),meet(complement(meet(X_117,X_348)),X_117))
| X_117 = join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)) ),
inference(resolve,[$cnf( $equal(meet(X_117,meet(X_117,X_348)),meet(X_117,X_348)) )],[refute_0_4618,refute_0_4619]) ).
cnf(refute_0_4621,plain,
X_117 = join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)),
inference(resolve,[$cnf( $equal(X_117,join(meet(X_117,meet(X_117,X_348)),meet(complement(meet(X_117,X_348)),X_117))) )],[refute_0_4607,refute_0_4620]) ).
cnf(refute_0_4622,plain,
meet(complement(meet(X_117,X_348)),X_117) = meet(X_117,complement(meet(X_117,X_348))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(X_117)),bind(X_7,$fot(complement(meet(X_117,X_348))))]]) ).
cnf(refute_0_4623,plain,
join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)) = join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)),
introduced(tautology,[refl,[$fot(join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)))]]) ).
cnf(refute_0_4624,plain,
( join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)) != join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117))
| meet(complement(meet(X_117,X_348)),X_117) != meet(X_117,complement(meet(X_117,X_348)))
| join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)) = join(meet(X_117,X_348),meet(X_117,complement(meet(X_117,X_348)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)),join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117))) ),[1,1],$fot(meet(X_117,complement(meet(X_117,X_348))))]]) ).
cnf(refute_0_4625,plain,
( meet(complement(meet(X_117,X_348)),X_117) != meet(X_117,complement(meet(X_117,X_348)))
| join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)) = join(meet(X_117,X_348),meet(X_117,complement(meet(X_117,X_348)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)),join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117))) )],[refute_0_4623,refute_0_4624]) ).
cnf(refute_0_4626,plain,
join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)) = join(meet(X_117,X_348),meet(X_117,complement(meet(X_117,X_348)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_117,X_348)),X_117),meet(X_117,complement(meet(X_117,X_348)))) )],[refute_0_4622,refute_0_4625]) ).
cnf(refute_0_4627,plain,
( X_117 != join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117))
| join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)) != join(meet(X_117,X_348),meet(X_117,complement(meet(X_117,X_348))))
| X_117 = join(meet(X_117,X_348),meet(X_117,complement(meet(X_117,X_348)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_117,join(meet(X_117,X_348),meet(X_117,complement(meet(X_117,X_348))))) ),[0],$fot(join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)))]]) ).
cnf(refute_0_4628,plain,
( X_117 != join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117))
| X_117 = join(meet(X_117,X_348),meet(X_117,complement(meet(X_117,X_348)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117)),join(meet(X_117,X_348),meet(X_117,complement(meet(X_117,X_348))))) )],[refute_0_4626,refute_0_4627]) ).
cnf(refute_0_4629,plain,
X_117 = join(meet(X_117,X_348),meet(X_117,complement(meet(X_117,X_348)))),
inference(resolve,[$cnf( $equal(X_117,join(meet(X_117,X_348),meet(complement(meet(X_117,X_348)),X_117))) )],[refute_0_4621,refute_0_4628]) ).
cnf(refute_0_4630,plain,
complement(converse(X_544)) = join(meet(complement(converse(X_544)),converse(complement(X_544))),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))),
inference(subst,[],[refute_0_4629:[bind(X_117,$fot(complement(converse(X_544)))),bind(X_348,$fot(converse(complement(X_544))))]]) ).
cnf(refute_0_4631,plain,
converse(A) = meet(converse(A),join(converse(A),converse(B))),
inference(subst,[],[refute_0_677:[bind(X_33,$fot(converse(B))),bind(X_97,$fot(converse(A)))]]) ).
cnf(refute_0_4632,plain,
( converse(A) != meet(converse(A),join(converse(A),converse(B)))
| join(converse(A),converse(B)) != converse(join(A,B))
| converse(A) = meet(converse(A),converse(join(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(A),meet(converse(A),join(converse(A),converse(B)))) ),[1,1],$fot(converse(join(A,B)))]]) ).
cnf(refute_0_4633,plain,
( converse(A) != meet(converse(A),join(converse(A),converse(B)))
| converse(A) = meet(converse(A),converse(join(A,B))) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(B)),converse(join(A,B))) )],[refute_0_849,refute_0_4632]) ).
cnf(refute_0_4634,plain,
converse(A) = meet(converse(A),converse(join(A,B))),
inference(resolve,[$cnf( $equal(converse(A),meet(converse(A),join(converse(A),converse(B)))) )],[refute_0_4631,refute_0_4633]) ).
cnf(refute_0_4635,plain,
converse(complement(X_543)) = meet(converse(complement(X_543)),converse(join(complement(X_543),meet(X_543,converse(complement(converse(X_543))))))),
inference(subst,[],[refute_0_4634:[bind(A,$fot(complement(X_543))),bind(B,$fot(meet(X_543,converse(complement(converse(X_543))))))]]) ).
cnf(refute_0_4636,plain,
converse(complement(converse(complement(complement(X_165))))) = join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),meet(complement(X_165),converse(complement(converse(complement(complement(X_165))))))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(X_165)),bind(X_117,$fot(converse(complement(converse(complement(complement(X_165)))))))]]) ).
cnf(refute_0_4637,plain,
complement(X_165) = meet(complement(X_165),converse(complement(converse(complement(complement(X_165)))))),
inference(subst,[],[refute_0_1714:[bind(X_97,$fot(complement(X_165)))]]) ).
cnf(refute_0_4638,plain,
( complement(X_165) != meet(complement(X_165),converse(complement(converse(complement(complement(X_165))))))
| meet(complement(X_165),converse(complement(converse(complement(complement(X_165)))))) = complement(X_165) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_165))),bind(Y,$fot(meet(complement(X_165),converse(complement(converse(complement(complement(X_165))))))))]]) ).
cnf(refute_0_4639,plain,
meet(complement(X_165),converse(complement(converse(complement(complement(X_165)))))) = complement(X_165),
inference(resolve,[$cnf( $equal(complement(X_165),meet(complement(X_165),converse(complement(converse(complement(complement(X_165))))))) )],[refute_0_4637,refute_0_4638]) ).
cnf(refute_0_4640,plain,
( converse(complement(converse(complement(complement(X_165))))) != join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),meet(complement(X_165),converse(complement(converse(complement(complement(X_165)))))))
| meet(complement(X_165),converse(complement(converse(complement(complement(X_165)))))) != complement(X_165)
| converse(complement(converse(complement(complement(X_165))))) = join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_165))))),join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),meet(complement(X_165),converse(complement(converse(complement(complement(X_165)))))))) ),[1,1],$fot(complement(X_165))]]) ).
cnf(refute_0_4641,plain,
( converse(complement(converse(complement(complement(X_165))))) != join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),meet(complement(X_165),converse(complement(converse(complement(complement(X_165)))))))
| converse(complement(converse(complement(complement(X_165))))) = join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_165),converse(complement(converse(complement(complement(X_165)))))),complement(X_165)) )],[refute_0_4639,refute_0_4640]) ).
cnf(refute_0_4642,plain,
converse(complement(converse(complement(complement(X_165))))) = join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_165))))),join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),meet(complement(X_165),converse(complement(converse(complement(complement(X_165)))))))) )],[refute_0_4636,refute_0_4641]) ).
cnf(refute_0_4643,plain,
complement(complement(X_165)) = X_165,
inference(subst,[],[refute_0_623:[bind(X_97,$fot(X_165))]]) ).
cnf(refute_0_4644,plain,
converse(complement(complement(X_165))) = converse(complement(complement(X_165))),
introduced(tautology,[refl,[$fot(converse(complement(complement(X_165))))]]) ).
cnf(refute_0_4645,plain,
( complement(complement(X_165)) != X_165
| converse(complement(complement(X_165))) != converse(complement(complement(X_165)))
| converse(complement(complement(X_165))) = converse(X_165) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(X_165))),converse(complement(complement(X_165)))) ),[1,0],$fot(X_165)]]) ).
cnf(refute_0_4646,plain,
( complement(complement(X_165)) != X_165
| converse(complement(complement(X_165))) = converse(X_165) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_165))),converse(complement(complement(X_165)))) )],[refute_0_4644,refute_0_4645]) ).
cnf(refute_0_4647,plain,
converse(complement(complement(X_165))) = converse(X_165),
inference(resolve,[$cnf( $equal(complement(complement(X_165)),X_165) )],[refute_0_4643,refute_0_4646]) ).
cnf(refute_0_4648,plain,
complement(converse(complement(complement(X_165)))) = complement(converse(complement(complement(X_165)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(complement(X_165)))))]]) ).
cnf(refute_0_4649,plain,
( complement(converse(complement(complement(X_165)))) != complement(converse(complement(complement(X_165))))
| converse(complement(complement(X_165))) != converse(X_165)
| complement(converse(complement(complement(X_165)))) = complement(converse(X_165)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(X_165)))),complement(converse(complement(complement(X_165))))) ),[1,0],$fot(converse(X_165))]]) ).
cnf(refute_0_4650,plain,
( converse(complement(complement(X_165))) != converse(X_165)
| complement(converse(complement(complement(X_165)))) = complement(converse(X_165)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_165)))),complement(converse(complement(complement(X_165))))) )],[refute_0_4648,refute_0_4649]) ).
cnf(refute_0_4651,plain,
complement(converse(complement(complement(X_165)))) = complement(converse(X_165)),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_165))),converse(X_165)) )],[refute_0_4647,refute_0_4650]) ).
cnf(refute_0_4652,plain,
converse(complement(converse(complement(complement(X_165))))) = converse(complement(converse(complement(complement(X_165))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(complement(X_165))))))]]) ).
cnf(refute_0_4653,plain,
( complement(converse(complement(complement(X_165)))) != complement(converse(X_165))
| converse(complement(converse(complement(complement(X_165))))) != converse(complement(converse(complement(complement(X_165)))))
| converse(complement(converse(complement(complement(X_165))))) = converse(complement(converse(X_165))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_165))))),converse(complement(converse(complement(complement(X_165)))))) ),[1,0],$fot(complement(converse(X_165)))]]) ).
cnf(refute_0_4654,plain,
( complement(converse(complement(complement(X_165)))) != complement(converse(X_165))
| converse(complement(converse(complement(complement(X_165))))) = converse(complement(converse(X_165))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_165))))),converse(complement(converse(complement(complement(X_165)))))) )],[refute_0_4652,refute_0_4653]) ).
cnf(refute_0_4655,plain,
converse(complement(converse(complement(complement(X_165))))) = converse(complement(converse(X_165))),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_165)))),complement(converse(X_165))) )],[refute_0_4651,refute_0_4654]) ).
cnf(refute_0_4656,plain,
( converse(complement(converse(complement(complement(X_165))))) != converse(complement(converse(X_165)))
| converse(complement(converse(complement(complement(X_165))))) != join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165))
| converse(complement(converse(X_165))) = join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_165))))),join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165))) ),[0],$fot(converse(complement(converse(X_165))))]]) ).
cnf(refute_0_4657,plain,
( converse(complement(converse(complement(complement(X_165))))) != join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165))
| converse(complement(converse(X_165))) = join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_165))))),converse(complement(converse(X_165)))) )],[refute_0_4655,refute_0_4656]) ).
cnf(refute_0_4658,plain,
meet(X_165,converse(complement(converse(complement(complement(X_165)))))) = meet(X_165,converse(complement(converse(complement(complement(X_165)))))),
introduced(tautology,[refl,[$fot(meet(X_165,converse(complement(converse(complement(complement(X_165)))))))]]) ).
cnf(refute_0_4659,plain,
( converse(complement(converse(complement(complement(X_165))))) != converse(complement(converse(X_165)))
| meet(X_165,converse(complement(converse(complement(complement(X_165)))))) != meet(X_165,converse(complement(converse(complement(complement(X_165))))))
| meet(X_165,converse(complement(converse(complement(complement(X_165)))))) = meet(X_165,converse(complement(converse(X_165)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_165,converse(complement(converse(complement(complement(X_165)))))),meet(X_165,converse(complement(converse(complement(complement(X_165))))))) ),[1,1],$fot(converse(complement(converse(X_165))))]]) ).
cnf(refute_0_4660,plain,
( converse(complement(converse(complement(complement(X_165))))) != converse(complement(converse(X_165)))
| meet(X_165,converse(complement(converse(complement(complement(X_165)))))) = meet(X_165,converse(complement(converse(X_165)))) ),
inference(resolve,[$cnf( $equal(meet(X_165,converse(complement(converse(complement(complement(X_165)))))),meet(X_165,converse(complement(converse(complement(complement(X_165))))))) )],[refute_0_4658,refute_0_4659]) ).
cnf(refute_0_4661,plain,
meet(X_165,converse(complement(converse(complement(complement(X_165)))))) = meet(X_165,converse(complement(converse(X_165)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_165))))),converse(complement(converse(X_165)))) )],[refute_0_4655,refute_0_4660]) ).
cnf(refute_0_4662,plain,
meet(converse(complement(converse(complement(complement(X_165))))),X_165) = meet(X_165,converse(complement(converse(complement(complement(X_165)))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(X_165)),bind(X_7,$fot(converse(complement(converse(complement(complement(X_165)))))))]]) ).
cnf(refute_0_4663,plain,
( meet(X_165,converse(complement(converse(complement(complement(X_165)))))) != meet(X_165,converse(complement(converse(X_165))))
| meet(converse(complement(converse(complement(complement(X_165))))),X_165) != meet(X_165,converse(complement(converse(complement(complement(X_165))))))
| meet(converse(complement(converse(complement(complement(X_165))))),X_165) = meet(X_165,converse(complement(converse(X_165)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(converse(complement(complement(X_165))))),X_165))),bind(Y,$fot(meet(X_165,converse(complement(converse(complement(complement(X_165)))))))),bind(Z,$fot(meet(X_165,converse(complement(converse(X_165))))))]]) ).
cnf(refute_0_4664,plain,
( meet(X_165,converse(complement(converse(complement(complement(X_165)))))) != meet(X_165,converse(complement(converse(X_165))))
| meet(converse(complement(converse(complement(complement(X_165))))),X_165) = meet(X_165,converse(complement(converse(X_165)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_165))))),X_165),meet(X_165,converse(complement(converse(complement(complement(X_165))))))) )],[refute_0_4662,refute_0_4663]) ).
cnf(refute_0_4665,plain,
meet(converse(complement(converse(complement(complement(X_165))))),X_165) = meet(X_165,converse(complement(converse(X_165)))),
inference(resolve,[$cnf( $equal(meet(X_165,converse(complement(converse(complement(complement(X_165)))))),meet(X_165,converse(complement(converse(X_165))))) )],[refute_0_4661,refute_0_4664]) ).
cnf(refute_0_4666,plain,
join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)) = join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)),
introduced(tautology,[refl,[$fot(join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)))]]) ).
cnf(refute_0_4667,plain,
( join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)) != join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165))
| meet(converse(complement(converse(complement(complement(X_165))))),X_165) != meet(X_165,converse(complement(converse(X_165))))
| join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)) = join(complement(X_165),meet(X_165,converse(complement(converse(X_165))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)),join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165))) ),[1,1],$fot(meet(X_165,converse(complement(converse(X_165)))))]]) ).
cnf(refute_0_4668,plain,
( meet(converse(complement(converse(complement(complement(X_165))))),X_165) != meet(X_165,converse(complement(converse(X_165))))
| join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)) = join(complement(X_165),meet(X_165,converse(complement(converse(X_165))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)),join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165))) )],[refute_0_4666,refute_0_4667]) ).
cnf(refute_0_4669,plain,
join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)) = join(complement(X_165),meet(X_165,converse(complement(converse(X_165))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_165))))),X_165),meet(X_165,converse(complement(converse(X_165))))) )],[refute_0_4665,refute_0_4668]) ).
cnf(refute_0_4670,plain,
join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)) = join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(X_165))),bind(B,$fot(meet(converse(complement(converse(complement(complement(X_165))))),X_165)))]]) ).
cnf(refute_0_4671,plain,
( join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)) != join(complement(X_165),meet(X_165,converse(complement(converse(X_165)))))
| join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)) != join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165))
| join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)) = join(complement(X_165),meet(X_165,converse(complement(converse(X_165))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)))),bind(Y,$fot(join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)))),bind(Z,$fot(join(complement(X_165),meet(X_165,converse(complement(converse(X_165)))))))]]) ).
cnf(refute_0_4672,plain,
( join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)) != join(complement(X_165),meet(X_165,converse(complement(converse(X_165)))))
| join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)) = join(complement(X_165),meet(X_165,converse(complement(converse(X_165))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)),join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165))) )],[refute_0_4670,refute_0_4671]) ).
cnf(refute_0_4673,plain,
join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)) = join(complement(X_165),meet(X_165,converse(complement(converse(X_165))))),
inference(resolve,[$cnf( $equal(join(complement(X_165),meet(converse(complement(converse(complement(complement(X_165))))),X_165)),join(complement(X_165),meet(X_165,converse(complement(converse(X_165)))))) )],[refute_0_4669,refute_0_4672]) ).
cnf(refute_0_4674,plain,
( converse(complement(converse(X_165))) != join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165))
| join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)) != join(complement(X_165),meet(X_165,converse(complement(converse(X_165)))))
| converse(complement(converse(X_165))) = join(complement(X_165),meet(X_165,converse(complement(converse(X_165))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_165))),join(complement(X_165),meet(X_165,converse(complement(converse(X_165)))))) ),[0],$fot(join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)))]]) ).
cnf(refute_0_4675,plain,
( converse(complement(converse(X_165))) != join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165))
| converse(complement(converse(X_165))) = join(complement(X_165),meet(X_165,converse(complement(converse(X_165))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165)),join(complement(X_165),meet(X_165,converse(complement(converse(X_165)))))) )],[refute_0_4673,refute_0_4674]) ).
cnf(refute_0_4676,plain,
( converse(complement(converse(complement(complement(X_165))))) != join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165))
| converse(complement(converse(X_165))) = join(complement(X_165),meet(X_165,converse(complement(converse(X_165))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_165))),join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165))) )],[refute_0_4657,refute_0_4675]) ).
cnf(refute_0_4677,plain,
converse(complement(converse(X_165))) = join(complement(X_165),meet(X_165,converse(complement(converse(X_165))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_165))))),join(meet(converse(complement(converse(complement(complement(X_165))))),X_165),complement(X_165))) )],[refute_0_4642,refute_0_4676]) ).
cnf(refute_0_4678,plain,
converse(complement(converse(X_543))) = join(complement(X_543),meet(X_543,converse(complement(converse(X_543))))),
inference(subst,[],[refute_0_4677:[bind(X_165,$fot(X_543))]]) ).
cnf(refute_0_4679,plain,
( converse(complement(converse(X_543))) != join(complement(X_543),meet(X_543,converse(complement(converse(X_543)))))
| join(complement(X_543),meet(X_543,converse(complement(converse(X_543))))) = converse(complement(converse(X_543))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(converse(X_543))))),bind(Y,$fot(join(complement(X_543),meet(X_543,converse(complement(converse(X_543)))))))]]) ).
cnf(refute_0_4680,plain,
join(complement(X_543),meet(X_543,converse(complement(converse(X_543))))) = converse(complement(converse(X_543))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_543))),join(complement(X_543),meet(X_543,converse(complement(converse(X_543)))))) )],[refute_0_4678,refute_0_4679]) ).
cnf(refute_0_4681,plain,
( converse(complement(X_543)) != meet(converse(complement(X_543)),converse(join(complement(X_543),meet(X_543,converse(complement(converse(X_543)))))))
| join(complement(X_543),meet(X_543,converse(complement(converse(X_543))))) != converse(complement(converse(X_543)))
| converse(complement(X_543)) = meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X_543)),meet(converse(complement(X_543)),converse(join(complement(X_543),meet(X_543,converse(complement(converse(X_543)))))))) ),[1,1,0],$fot(converse(complement(converse(X_543))))]]) ).
cnf(refute_0_4682,plain,
( converse(complement(X_543)) != meet(converse(complement(X_543)),converse(join(complement(X_543),meet(X_543,converse(complement(converse(X_543)))))))
| converse(complement(X_543)) = meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_543),meet(X_543,converse(complement(converse(X_543))))),converse(complement(converse(X_543)))) )],[refute_0_4680,refute_0_4681]) ).
cnf(refute_0_4683,plain,
converse(complement(X_543)) = meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))),
inference(resolve,[$cnf( $equal(converse(complement(X_543)),meet(converse(complement(X_543)),converse(join(complement(X_543),meet(X_543,converse(complement(converse(X_543)))))))) )],[refute_0_4635,refute_0_4682]) ).
cnf(refute_0_4684,plain,
meet(converse(complement(X_543)),complement(converse(X_543))) = meet(complement(converse(X_543)),converse(complement(X_543))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(converse(X_543)))),bind(X_7,$fot(converse(complement(X_543))))]]) ).
cnf(refute_0_4685,plain,
converse(converse(complement(converse(X_543)))) = complement(converse(X_543)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(converse(X_543))))]]) ).
cnf(refute_0_4686,plain,
meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))) = meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))))]]) ).
cnf(refute_0_4687,plain,
( converse(converse(complement(converse(X_543)))) != complement(converse(X_543))
| meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))) != meet(converse(complement(X_543)),converse(converse(complement(converse(X_543)))))
| meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))) = meet(converse(complement(X_543)),complement(converse(X_543))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))),meet(converse(complement(X_543)),converse(converse(complement(converse(X_543)))))) ),[1,1],$fot(complement(converse(X_543)))]]) ).
cnf(refute_0_4688,plain,
( converse(converse(complement(converse(X_543)))) != complement(converse(X_543))
| meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))) = meet(converse(complement(X_543)),complement(converse(X_543))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))),meet(converse(complement(X_543)),converse(converse(complement(converse(X_543)))))) )],[refute_0_4686,refute_0_4687]) ).
cnf(refute_0_4689,plain,
meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))) = meet(converse(complement(X_543)),complement(converse(X_543))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(X_543)))),complement(converse(X_543))) )],[refute_0_4685,refute_0_4688]) ).
cnf(refute_0_4690,plain,
( meet(converse(complement(X_543)),complement(converse(X_543))) != meet(complement(converse(X_543)),converse(complement(X_543)))
| meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))) != meet(converse(complement(X_543)),complement(converse(X_543)))
| meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))) = meet(complement(converse(X_543)),converse(complement(X_543))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))))),bind(Y,$fot(meet(converse(complement(X_543)),complement(converse(X_543))))),bind(Z,$fot(meet(complement(converse(X_543)),converse(complement(X_543)))))]]) ).
cnf(refute_0_4691,plain,
( meet(converse(complement(X_543)),complement(converse(X_543))) != meet(complement(converse(X_543)),converse(complement(X_543)))
| meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))) = meet(complement(converse(X_543)),converse(complement(X_543))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))),meet(converse(complement(X_543)),complement(converse(X_543)))) )],[refute_0_4689,refute_0_4690]) ).
cnf(refute_0_4692,plain,
meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))) = meet(complement(converse(X_543)),converse(complement(X_543))),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_543)),complement(converse(X_543))),meet(complement(converse(X_543)),converse(complement(X_543)))) )],[refute_0_4684,refute_0_4691]) ).
cnf(refute_0_4693,plain,
( converse(complement(X_543)) != meet(converse(complement(X_543)),converse(converse(complement(converse(X_543)))))
| meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))) != meet(complement(converse(X_543)),converse(complement(X_543)))
| converse(complement(X_543)) = meet(complement(converse(X_543)),converse(complement(X_543))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X_543)),meet(complement(converse(X_543)),converse(complement(X_543)))) ),[0],$fot(meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))))]]) ).
cnf(refute_0_4694,plain,
( converse(complement(X_543)) != meet(converse(complement(X_543)),converse(converse(complement(converse(X_543)))))
| converse(complement(X_543)) = meet(complement(converse(X_543)),converse(complement(X_543))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_543)),converse(converse(complement(converse(X_543))))),meet(complement(converse(X_543)),converse(complement(X_543)))) )],[refute_0_4692,refute_0_4693]) ).
cnf(refute_0_4695,plain,
converse(complement(X_543)) = meet(complement(converse(X_543)),converse(complement(X_543))),
inference(resolve,[$cnf( $equal(converse(complement(X_543)),meet(converse(complement(X_543)),converse(converse(complement(converse(X_543)))))) )],[refute_0_4683,refute_0_4694]) ).
cnf(refute_0_4696,plain,
converse(complement(X_544)) = meet(complement(converse(X_544)),converse(complement(X_544))),
inference(subst,[],[refute_0_4695:[bind(X_543,$fot(X_544))]]) ).
cnf(refute_0_4697,plain,
( converse(complement(X_544)) != meet(complement(converse(X_544)),converse(complement(X_544)))
| meet(complement(converse(X_544)),converse(complement(X_544))) = converse(complement(X_544)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(X_544)))),bind(Y,$fot(meet(complement(converse(X_544)),converse(complement(X_544)))))]]) ).
cnf(refute_0_4698,plain,
meet(complement(converse(X_544)),converse(complement(X_544))) = converse(complement(X_544)),
inference(resolve,[$cnf( $equal(converse(complement(X_544)),meet(complement(converse(X_544)),converse(complement(X_544)))) )],[refute_0_4696,refute_0_4697]) ).
cnf(refute_0_4699,plain,
( complement(converse(X_544)) != join(meet(complement(converse(X_544)),converse(complement(X_544))),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))))
| meet(complement(converse(X_544)),converse(complement(X_544))) != converse(complement(X_544))
| complement(converse(X_544)) = join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(X_544)),join(meet(complement(converse(X_544)),converse(complement(X_544))),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))))) ),[1,0],$fot(converse(complement(X_544)))]]) ).
cnf(refute_0_4700,plain,
( complement(converse(X_544)) != join(meet(complement(converse(X_544)),converse(complement(X_544))),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))))
| complement(converse(X_544)) = join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(X_544)),converse(complement(X_544))),converse(complement(X_544))) )],[refute_0_4698,refute_0_4699]) ).
cnf(refute_0_4701,plain,
complement(converse(X_544)) = join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))),
inference(resolve,[$cnf( $equal(complement(converse(X_544)),join(meet(complement(converse(X_544)),converse(complement(X_544))),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))))) )],[refute_0_4630,refute_0_4700]) ).
cnf(refute_0_4702,plain,
join(zero,converse(complement(X_544))) = converse(complement(X_544)),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(converse(complement(X_544))))]]) ).
cnf(refute_0_4703,plain,
join(converse(complement(X_544)),zero) = join(zero,converse(complement(X_544))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(converse(complement(X_544)))),bind(B,$fot(zero))]]) ).
cnf(refute_0_4704,plain,
( join(converse(complement(X_544)),zero) != join(zero,converse(complement(X_544)))
| join(zero,converse(complement(X_544))) != converse(complement(X_544))
| join(converse(complement(X_544)),zero) = converse(complement(X_544)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(X_544)),zero))),bind(Y,$fot(join(zero,converse(complement(X_544))))),bind(Z,$fot(converse(complement(X_544))))]]) ).
cnf(refute_0_4705,plain,
( join(zero,converse(complement(X_544))) != converse(complement(X_544))
| join(converse(complement(X_544)),zero) = converse(complement(X_544)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(X_544)),zero),join(zero,converse(complement(X_544)))) )],[refute_0_4703,refute_0_4704]) ).
cnf(refute_0_4706,plain,
join(converse(complement(X_544)),zero) = converse(complement(X_544)),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(X_544))),converse(complement(X_544))) )],[refute_0_4702,refute_0_4705]) ).
cnf(refute_0_4707,plain,
join(X_544,complement(X_544)) = top,
inference(subst,[],[refute_0_180:[bind(A,$fot(X_544))]]) ).
cnf(refute_0_4708,plain,
converse(join(X_544,complement(X_544))) = converse(join(X_544,complement(X_544))),
introduced(tautology,[refl,[$fot(converse(join(X_544,complement(X_544))))]]) ).
cnf(refute_0_4709,plain,
( converse(join(X_544,complement(X_544))) != converse(join(X_544,complement(X_544)))
| join(X_544,complement(X_544)) != top
| converse(join(X_544,complement(X_544))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_544,complement(X_544))),converse(join(X_544,complement(X_544)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4710,plain,
( join(X_544,complement(X_544)) != top
| converse(join(X_544,complement(X_544))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(X_544,complement(X_544))),converse(join(X_544,complement(X_544)))) )],[refute_0_4708,refute_0_4709]) ).
cnf(refute_0_4711,plain,
converse(join(X_544,complement(X_544))) = converse(top),
inference(resolve,[$cnf( $equal(join(X_544,complement(X_544)),top) )],[refute_0_4707,refute_0_4710]) ).
cnf(refute_0_4712,plain,
( converse(join(X_544,complement(X_544))) != converse(top)
| converse(top) != top
| converse(join(X_544,complement(X_544))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(X_544,complement(X_544))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4713,plain,
( converse(top) != top
| converse(join(X_544,complement(X_544))) = top ),
inference(resolve,[$cnf( $equal(converse(join(X_544,complement(X_544))),converse(top)) )],[refute_0_4711,refute_0_4712]) ).
cnf(refute_0_4714,plain,
converse(join(X_544,complement(X_544))) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_4713]) ).
cnf(refute_0_4715,plain,
join(converse(X_544),converse(complement(X_544))) = converse(join(X_544,complement(X_544))),
inference(subst,[],[refute_0_849:[bind(A,$fot(X_544)),bind(B,$fot(complement(X_544)))]]) ).
cnf(refute_0_4716,plain,
( converse(join(X_544,complement(X_544))) != top
| join(converse(X_544),converse(complement(X_544))) != converse(join(X_544,complement(X_544)))
| join(converse(X_544),converse(complement(X_544))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(X_544),converse(complement(X_544))))),bind(Y,$fot(converse(join(X_544,complement(X_544))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4717,plain,
( converse(join(X_544,complement(X_544))) != top
| join(converse(X_544),converse(complement(X_544))) = top ),
inference(resolve,[$cnf( $equal(join(converse(X_544),converse(complement(X_544))),converse(join(X_544,complement(X_544)))) )],[refute_0_4715,refute_0_4716]) ).
cnf(refute_0_4718,plain,
join(converse(X_544),converse(complement(X_544))) = top,
inference(resolve,[$cnf( $equal(converse(join(X_544,complement(X_544))),top) )],[refute_0_4714,refute_0_4717]) ).
cnf(refute_0_4719,plain,
join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))) = join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))),
introduced(tautology,[refl,[$fot(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))))]]) ).
cnf(refute_0_4720,plain,
( join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))) != join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))
| meet(complement(converse(X_544)),converse(complement(X_544))) != converse(complement(X_544))
| join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))) = join(converse(X_544),converse(complement(X_544))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))),join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))) ),[1,1],$fot(converse(complement(X_544)))]]) ).
cnf(refute_0_4721,plain,
( meet(complement(converse(X_544)),converse(complement(X_544))) != converse(complement(X_544))
| join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))) = join(converse(X_544),converse(complement(X_544))) ),
inference(resolve,[$cnf( $equal(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))),join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))) )],[refute_0_4719,refute_0_4720]) ).
cnf(refute_0_4722,plain,
join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))) = join(converse(X_544),converse(complement(X_544))),
inference(resolve,[$cnf( $equal(meet(complement(converse(X_544)),converse(complement(X_544))),converse(complement(X_544))) )],[refute_0_4698,refute_0_4721]) ).
cnf(refute_0_4723,plain,
( join(converse(X_544),converse(complement(X_544))) != top
| join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))) != join(converse(X_544),converse(complement(X_544)))
| join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))))),bind(Y,$fot(join(converse(X_544),converse(complement(X_544))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4724,plain,
( join(converse(X_544),converse(complement(X_544))) != top
| join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))),join(converse(X_544),converse(complement(X_544)))) )],[refute_0_4722,refute_0_4723]) ).
cnf(refute_0_4725,plain,
join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))) = top,
inference(resolve,[$cnf( $equal(join(converse(X_544),converse(complement(X_544))),top) )],[refute_0_4718,refute_0_4724]) ).
cnf(refute_0_4726,plain,
complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))) = complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))),
introduced(tautology,[refl,[$fot(complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))))]]) ).
cnf(refute_0_4727,plain,
( complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))) != complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))))
| join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))) != top
| complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))),complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4728,plain,
( join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))) != top
| complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))),complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))))) )],[refute_0_4726,refute_0_4727]) ).
cnf(refute_0_4729,plain,
complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))) = complement(top),
inference(resolve,[$cnf( $equal(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))),top) )],[refute_0_4725,refute_0_4728]) ).
cnf(refute_0_4730,plain,
( complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))) != complement(top)
| complement(top) != zero
| complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4731,plain,
( complement(top) != zero
| complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))),complement(top)) )],[refute_0_4729,refute_0_4730]) ).
cnf(refute_0_4732,plain,
complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_4731]) ).
cnf(refute_0_4733,plain,
meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))) = complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(meet(complement(converse(X_544)),converse(complement(X_544))))),bind(X_97,$fot(converse(X_544)))]]) ).
cnf(refute_0_4734,plain,
( complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))) != zero
| meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))) != complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))))
| meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))))),bind(Y,$fot(complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4735,plain,
( complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))) != zero
| meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))),complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544)))))) )],[refute_0_4733,refute_0_4734]) ).
cnf(refute_0_4736,plain,
meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))) = zero,
inference(resolve,[$cnf( $equal(complement(join(converse(X_544),meet(complement(converse(X_544)),converse(complement(X_544))))),zero) )],[refute_0_4732,refute_0_4735]) ).
cnf(refute_0_4737,plain,
join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))) = join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))),
introduced(tautology,[refl,[$fot(join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))))]]) ).
cnf(refute_0_4738,plain,
( join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))) != join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))))
| meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))) != zero
| join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))) = join(converse(complement(X_544)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))),join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_4739,plain,
( meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))) != zero
| join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))) = join(converse(complement(X_544)),zero) ),
inference(resolve,[$cnf( $equal(join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))),join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))))) )],[refute_0_4737,refute_0_4738]) ).
cnf(refute_0_4740,plain,
join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))) = join(converse(complement(X_544)),zero),
inference(resolve,[$cnf( $equal(meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))),zero) )],[refute_0_4736,refute_0_4739]) ).
cnf(refute_0_4741,plain,
( join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))) != join(converse(complement(X_544)),zero)
| join(converse(complement(X_544)),zero) != converse(complement(X_544))
| join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))) = converse(complement(X_544)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))))),bind(Y,$fot(join(converse(complement(X_544)),zero))),bind(Z,$fot(converse(complement(X_544))))]]) ).
cnf(refute_0_4742,plain,
( join(converse(complement(X_544)),zero) != converse(complement(X_544))
| join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))) = converse(complement(X_544)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))),join(converse(complement(X_544)),zero)) )],[refute_0_4740,refute_0_4741]) ).
cnf(refute_0_4743,plain,
join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))) = converse(complement(X_544)),
inference(resolve,[$cnf( $equal(join(converse(complement(X_544)),zero),converse(complement(X_544))) )],[refute_0_4706,refute_0_4742]) ).
cnf(refute_0_4744,plain,
( complement(converse(X_544)) != join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))))
| join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))) != converse(complement(X_544))
| complement(converse(X_544)) = converse(complement(X_544)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(X_544)),converse(complement(X_544))) ),[0],$fot(join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))))]]) ).
cnf(refute_0_4745,plain,
( complement(converse(X_544)) != join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))))
| complement(converse(X_544)) = converse(complement(X_544)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544)))))),converse(complement(X_544))) )],[refute_0_4743,refute_0_4744]) ).
cnf(refute_0_4746,plain,
complement(converse(X_544)) = converse(complement(X_544)),
inference(resolve,[$cnf( $equal(complement(converse(X_544)),join(converse(complement(X_544)),meet(complement(converse(X_544)),complement(meet(complement(converse(X_544)),converse(complement(X_544))))))) )],[refute_0_4701,refute_0_4745]) ).
cnf(refute_0_4747,plain,
( complement(converse(X_544)) != converse(complement(X_544))
| converse(complement(X_544)) = complement(converse(X_544)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(X_544)))),bind(Y,$fot(converse(complement(X_544))))]]) ).
cnf(refute_0_4748,plain,
converse(complement(X_544)) = complement(converse(X_544)),
inference(resolve,[$cnf( $equal(complement(converse(X_544)),converse(complement(X_544))) )],[refute_0_4746,refute_0_4747]) ).
cnf(refute_0_4749,plain,
converse(complement(composition(complement(sk1),converse(sk1)))) = complement(converse(composition(complement(sk1),converse(sk1)))),
inference(subst,[],[refute_0_4748:[bind(X_544,$fot(composition(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_4750,plain,
( complement(converse(composition(complement(sk1),converse(sk1)))) != complement(composition(sk1,complement(converse(sk1))))
| converse(complement(composition(complement(sk1),converse(sk1)))) != complement(converse(composition(complement(sk1),converse(sk1))))
| converse(complement(composition(complement(sk1),converse(sk1)))) = complement(composition(sk1,complement(converse(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(complement(composition(complement(sk1),converse(sk1)))))),bind(Y,$fot(complement(converse(composition(complement(sk1),converse(sk1)))))),bind(Z,$fot(complement(composition(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_4751,plain,
( complement(converse(composition(complement(sk1),converse(sk1)))) != complement(composition(sk1,complement(converse(sk1))))
| converse(complement(composition(complement(sk1),converse(sk1)))) = complement(composition(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(sk1),converse(sk1)))),complement(converse(composition(complement(sk1),converse(sk1))))) )],[refute_0_4749,refute_0_4750]) ).
cnf(refute_0_4752,plain,
converse(complement(composition(complement(sk1),converse(sk1)))) = complement(composition(sk1,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(sk1),converse(sk1)))),complement(composition(sk1,complement(converse(sk1))))) )],[refute_0_4606,refute_0_4751]) ).
cnf(refute_0_4753,plain,
join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))) = join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_4754,plain,
( converse(complement(composition(complement(sk1),converse(sk1)))) != complement(composition(sk1,complement(converse(sk1))))
| join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))) != join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1)))))
| join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))) = join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))),join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1)))))) ),[1,1],$fot(complement(composition(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_4755,plain,
( converse(complement(composition(complement(sk1),converse(sk1)))) != complement(composition(sk1,complement(converse(sk1))))
| join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))) = join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))),join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1)))))) )],[refute_0_4753,refute_0_4754]) ).
cnf(refute_0_4756,plain,
join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))) = join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(sk1),converse(sk1)))),complement(composition(sk1,complement(converse(sk1))))) )],[refute_0_4752,refute_0_4755]) ).
cnf(refute_0_4757,plain,
( join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))) != converse(complement(composition(complement(sk1),converse(sk1))))
| join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))) != join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1)))))
| join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) = converse(complement(composition(complement(sk1),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))),converse(complement(composition(complement(sk1),converse(sk1))))) ),[0],$fot(join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_4758,plain,
( join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))) != converse(complement(composition(complement(sk1),converse(sk1))))
| join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) = converse(complement(composition(complement(sk1),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))),join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1)))))) )],[refute_0_4756,refute_0_4757]) ).
cnf(refute_0_4759,plain,
( converse(complement(composition(complement(sk1),converse(sk1)))) != complement(composition(sk1,complement(converse(sk1))))
| join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) != converse(complement(composition(complement(sk1),converse(sk1))))
| join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) = complement(composition(sk1,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))),converse(complement(composition(complement(sk1),converse(sk1))))) ),[1],$fot(complement(composition(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_4760,plain,
( join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) != converse(complement(composition(complement(sk1),converse(sk1))))
| join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) = complement(composition(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(sk1),converse(sk1)))),complement(composition(sk1,complement(converse(sk1))))) )],[refute_0_4752,refute_0_4759]) ).
cnf(refute_0_4761,plain,
( join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))) != converse(complement(composition(complement(sk1),converse(sk1))))
| join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) = complement(composition(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))),converse(complement(composition(complement(sk1),converse(sk1))))) )],[refute_0_4758,refute_0_4760]) ).
cnf(refute_0_4762,plain,
join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) = complement(composition(sk1,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),converse(complement(composition(complement(sk1),converse(sk1))))),converse(complement(composition(complement(sk1),converse(sk1))))) )],[refute_0_4594,refute_0_4761]) ).
cnf(refute_0_4763,plain,
( join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) != complement(composition(sk1,complement(converse(sk1))))
| meet(one,complement(sk1)) != meet(meet(one,complement(sk1)),join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))))
| meet(one,complement(sk1)) = meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(sk1)),meet(meet(one,complement(sk1)),join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))))) ),[1,1],$fot(complement(composition(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_4764,plain,
( meet(one,complement(sk1)) != meet(meet(one,complement(sk1)),join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))))
| meet(one,complement(sk1)) = meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))),complement(composition(sk1,complement(converse(sk1))))) )],[refute_0_4762,refute_0_4763]) ).
cnf(refute_0_4765,plain,
meet(one,complement(sk1)) = meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),meet(meet(one,complement(sk1)),join(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))))) )],[refute_0_678,refute_0_4764]) ).
cnf(refute_0_4766,plain,
meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) = complement(join(complement(X_279),meet(join(X_34,sk1),join(one,X_34)))),
inference(subst,[],[refute_0_1527:[bind(A,$fot(X_279)),bind(X_6,$fot(join(X_34,sk1))),bind(X_7,$fot(join(one,X_34)))]]) ).
cnf(refute_0_4767,plain,
join(X_34,sk1) = meet(join(X_34,sk1),join(one,join(X_34,sk1))),
inference(subst,[],[refute_0_1000:[bind(X_118,$fot(one)),bind(X_119,$fot(join(X_34,sk1)))]]) ).
cnf(refute_0_4768,plain,
( join(X_34,sk1) != meet(join(X_34,sk1),join(one,join(X_34,sk1)))
| join(one,join(X_34,sk1)) != join(one,X_34)
| join(X_34,sk1) = meet(join(X_34,sk1),join(one,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,sk1),meet(join(X_34,sk1),join(one,join(X_34,sk1)))) ),[1,1],$fot(join(one,X_34))]]) ).
cnf(refute_0_4769,plain,
( join(X_34,sk1) != meet(join(X_34,sk1),join(one,join(X_34,sk1)))
| join(X_34,sk1) = meet(join(X_34,sk1),join(one,X_34)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_34,sk1)),join(one,X_34)) )],[refute_0_727,refute_0_4768]) ).
cnf(refute_0_4770,plain,
join(X_34,sk1) = meet(join(X_34,sk1),join(one,X_34)),
inference(resolve,[$cnf( $equal(join(X_34,sk1),meet(join(X_34,sk1),join(one,join(X_34,sk1)))) )],[refute_0_4767,refute_0_4769]) ).
cnf(refute_0_4771,plain,
( join(X_34,sk1) != meet(join(X_34,sk1),join(one,X_34))
| meet(join(X_34,sk1),join(one,X_34)) = join(X_34,sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_34,sk1))),bind(Y,$fot(meet(join(X_34,sk1),join(one,X_34))))]]) ).
cnf(refute_0_4772,plain,
meet(join(X_34,sk1),join(one,X_34)) = join(X_34,sk1),
inference(resolve,[$cnf( $equal(join(X_34,sk1),meet(join(X_34,sk1),join(one,X_34))) )],[refute_0_4770,refute_0_4771]) ).
cnf(refute_0_4773,plain,
( meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) != complement(join(complement(X_279),meet(join(X_34,sk1),join(one,X_34))))
| meet(join(X_34,sk1),join(one,X_34)) != join(X_34,sk1)
| meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) = complement(join(complement(X_279),join(X_34,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))),complement(join(complement(X_279),meet(join(X_34,sk1),join(one,X_34))))) ),[1,0,1],$fot(join(X_34,sk1))]]) ).
cnf(refute_0_4774,plain,
( meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) != complement(join(complement(X_279),meet(join(X_34,sk1),join(one,X_34))))
| meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) = complement(join(complement(X_279),join(X_34,sk1))) ),
inference(resolve,[$cnf( $equal(meet(join(X_34,sk1),join(one,X_34)),join(X_34,sk1)) )],[refute_0_4772,refute_0_4773]) ).
cnf(refute_0_4775,plain,
meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) = complement(join(complement(X_279),join(X_34,sk1))),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))),complement(join(complement(X_279),meet(join(X_34,sk1),join(one,X_34))))) )],[refute_0_4766,refute_0_4774]) ).
cnf(refute_0_4776,plain,
complement(meet(join(X_34,sk1),join(one,X_34))) = complement(meet(join(X_34,sk1),join(one,X_34))),
introduced(tautology,[refl,[$fot(complement(meet(join(X_34,sk1),join(one,X_34))))]]) ).
cnf(refute_0_4777,plain,
( complement(meet(join(X_34,sk1),join(one,X_34))) != complement(meet(join(X_34,sk1),join(one,X_34)))
| meet(join(X_34,sk1),join(one,X_34)) != join(X_34,sk1)
| complement(meet(join(X_34,sk1),join(one,X_34))) = complement(join(X_34,sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(X_34,sk1),join(one,X_34))),complement(meet(join(X_34,sk1),join(one,X_34)))) ),[1,0],$fot(join(X_34,sk1))]]) ).
cnf(refute_0_4778,plain,
( meet(join(X_34,sk1),join(one,X_34)) != join(X_34,sk1)
| complement(meet(join(X_34,sk1),join(one,X_34))) = complement(join(X_34,sk1)) ),
inference(resolve,[$cnf( $equal(complement(meet(join(X_34,sk1),join(one,X_34))),complement(meet(join(X_34,sk1),join(one,X_34)))) )],[refute_0_4776,refute_0_4777]) ).
cnf(refute_0_4779,plain,
complement(meet(join(X_34,sk1),join(one,X_34))) = complement(join(X_34,sk1)),
inference(resolve,[$cnf( $equal(meet(join(X_34,sk1),join(one,X_34)),join(X_34,sk1)) )],[refute_0_4772,refute_0_4778]) ).
cnf(refute_0_4780,plain,
meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) = meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))),
introduced(tautology,[refl,[$fot(meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))))]]) ).
cnf(refute_0_4781,plain,
( complement(meet(join(X_34,sk1),join(one,X_34))) != complement(join(X_34,sk1))
| meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) != meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34))))
| meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) = meet(X_279,complement(join(X_34,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))),meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34))))) ),[1,1],$fot(complement(join(X_34,sk1)))]]) ).
cnf(refute_0_4782,plain,
( complement(meet(join(X_34,sk1),join(one,X_34))) != complement(join(X_34,sk1))
| meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) = meet(X_279,complement(join(X_34,sk1))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))),meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34))))) )],[refute_0_4780,refute_0_4781]) ).
cnf(refute_0_4783,plain,
meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) = meet(X_279,complement(join(X_34,sk1))),
inference(resolve,[$cnf( $equal(complement(meet(join(X_34,sk1),join(one,X_34))),complement(join(X_34,sk1))) )],[refute_0_4779,refute_0_4782]) ).
cnf(refute_0_4784,plain,
( meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) != complement(join(complement(X_279),join(X_34,sk1)))
| meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) != meet(X_279,complement(join(X_34,sk1)))
| meet(X_279,complement(join(X_34,sk1))) = complement(join(complement(X_279),join(X_34,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))),complement(join(complement(X_279),join(X_34,sk1)))) ),[0],$fot(meet(X_279,complement(join(X_34,sk1))))]]) ).
cnf(refute_0_4785,plain,
( meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) != complement(join(complement(X_279),join(X_34,sk1)))
| meet(X_279,complement(join(X_34,sk1))) = complement(join(complement(X_279),join(X_34,sk1))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))),meet(X_279,complement(join(X_34,sk1)))) )],[refute_0_4783,refute_0_4784]) ).
cnf(refute_0_4786,plain,
join(complement(X_279),join(X_34,sk1)) = join(sk1,join(X_34,complement(X_279))),
inference(subst,[],[refute_0_4586:[bind(X_155,$fot(sk1)),bind(X_156,$fot(complement(X_279))),bind(X_157,$fot(X_34))]]) ).
cnf(refute_0_4787,plain,
complement(join(complement(X_279),join(X_34,sk1))) = complement(join(complement(X_279),join(X_34,sk1))),
introduced(tautology,[refl,[$fot(complement(join(complement(X_279),join(X_34,sk1))))]]) ).
cnf(refute_0_4788,plain,
( complement(join(complement(X_279),join(X_34,sk1))) != complement(join(complement(X_279),join(X_34,sk1)))
| join(complement(X_279),join(X_34,sk1)) != join(sk1,join(X_34,complement(X_279)))
| complement(join(complement(X_279),join(X_34,sk1))) = complement(join(sk1,join(X_34,complement(X_279)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_279),join(X_34,sk1))),complement(join(complement(X_279),join(X_34,sk1)))) ),[1,0],$fot(join(sk1,join(X_34,complement(X_279))))]]) ).
cnf(refute_0_4789,plain,
( join(complement(X_279),join(X_34,sk1)) != join(sk1,join(X_34,complement(X_279)))
| complement(join(complement(X_279),join(X_34,sk1))) = complement(join(sk1,join(X_34,complement(X_279)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_279),join(X_34,sk1))),complement(join(complement(X_279),join(X_34,sk1)))) )],[refute_0_4787,refute_0_4788]) ).
cnf(refute_0_4790,plain,
complement(join(complement(X_279),join(X_34,sk1))) = complement(join(sk1,join(X_34,complement(X_279)))),
inference(resolve,[$cnf( $equal(join(complement(X_279),join(X_34,sk1)),join(sk1,join(X_34,complement(X_279)))) )],[refute_0_4786,refute_0_4789]) ).
cnf(refute_0_4791,plain,
( complement(join(complement(X_279),join(X_34,sk1))) != complement(join(sk1,join(X_34,complement(X_279))))
| meet(X_279,complement(join(X_34,sk1))) != complement(join(complement(X_279),join(X_34,sk1)))
| meet(X_279,complement(join(X_34,sk1))) = complement(join(sk1,join(X_34,complement(X_279)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(join(X_34,sk1))),complement(join(complement(X_279),join(X_34,sk1)))) ),[1],$fot(complement(join(sk1,join(X_34,complement(X_279)))))]]) ).
cnf(refute_0_4792,plain,
( meet(X_279,complement(join(X_34,sk1))) != complement(join(complement(X_279),join(X_34,sk1)))
| meet(X_279,complement(join(X_34,sk1))) = complement(join(sk1,join(X_34,complement(X_279)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_279),join(X_34,sk1))),complement(join(sk1,join(X_34,complement(X_279))))) )],[refute_0_4790,refute_0_4791]) ).
cnf(refute_0_4793,plain,
( meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))) != complement(join(complement(X_279),join(X_34,sk1)))
| meet(X_279,complement(join(X_34,sk1))) = complement(join(sk1,join(X_34,complement(X_279)))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(join(X_34,sk1))),complement(join(complement(X_279),join(X_34,sk1)))) )],[refute_0_4785,refute_0_4792]) ).
cnf(refute_0_4794,plain,
meet(X_279,complement(join(X_34,sk1))) = complement(join(sk1,join(X_34,complement(X_279)))),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(join(X_34,sk1),join(one,X_34)))),complement(join(complement(X_279),join(X_34,sk1)))) )],[refute_0_4775,refute_0_4793]) ).
cnf(refute_0_4795,plain,
meet(X_298,complement(join(X_31,X_32))) = complement(join(complement(X_298),join(X_31,X_32))),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(X_298)),bind(X_281,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_4796,plain,
join(complement(X_298),join(X_31,X_32)) = join(X_31,join(X_32,complement(X_298))),
inference(subst,[],[refute_0_269:[bind(A,$fot(complement(X_298)))]]) ).
cnf(refute_0_4797,plain,
( join(complement(X_298),join(X_31,X_32)) != join(X_31,join(X_32,complement(X_298)))
| meet(X_298,complement(join(X_31,X_32))) != complement(join(complement(X_298),join(X_31,X_32)))
| meet(X_298,complement(join(X_31,X_32))) = complement(join(X_31,join(X_32,complement(X_298)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_298,complement(join(X_31,X_32))),complement(join(complement(X_298),join(X_31,X_32)))) ),[1,0],$fot(join(X_31,join(X_32,complement(X_298))))]]) ).
cnf(refute_0_4798,plain,
( meet(X_298,complement(join(X_31,X_32))) != complement(join(complement(X_298),join(X_31,X_32)))
| meet(X_298,complement(join(X_31,X_32))) = complement(join(X_31,join(X_32,complement(X_298)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_298),join(X_31,X_32)),join(X_31,join(X_32,complement(X_298)))) )],[refute_0_4796,refute_0_4797]) ).
cnf(refute_0_4799,plain,
meet(X_298,complement(join(X_31,X_32))) = complement(join(X_31,join(X_32,complement(X_298)))),
inference(resolve,[$cnf( $equal(meet(X_298,complement(join(X_31,X_32))),complement(join(complement(X_298),join(X_31,X_32)))) )],[refute_0_4795,refute_0_4798]) ).
cnf(refute_0_4800,plain,
( meet(X_298,complement(join(X_31,X_32))) != complement(join(X_31,join(X_32,complement(X_298))))
| complement(join(X_31,join(X_32,complement(X_298)))) = meet(X_298,complement(join(X_31,X_32))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_298,complement(join(X_31,X_32))))),bind(Y,$fot(complement(join(X_31,join(X_32,complement(X_298))))))]]) ).
cnf(refute_0_4801,plain,
complement(join(X_31,join(X_32,complement(X_298)))) = meet(X_298,complement(join(X_31,X_32))),
inference(resolve,[$cnf( $equal(meet(X_298,complement(join(X_31,X_32))),complement(join(X_31,join(X_32,complement(X_298))))) )],[refute_0_4799,refute_0_4800]) ).
cnf(refute_0_4802,plain,
complement(join(sk1,join(X_34,complement(X_279)))) = meet(X_279,complement(join(sk1,X_34))),
inference(subst,[],[refute_0_4801:[bind(X_298,$fot(X_279)),bind(X_31,$fot(sk1)),bind(X_32,$fot(X_34))]]) ).
cnf(refute_0_4803,plain,
( complement(join(sk1,join(X_34,complement(X_279)))) != meet(X_279,complement(join(sk1,X_34)))
| meet(X_279,complement(join(X_34,sk1))) != complement(join(sk1,join(X_34,complement(X_279))))
| meet(X_279,complement(join(X_34,sk1))) = meet(X_279,complement(join(sk1,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(join(X_34,sk1))),complement(join(sk1,join(X_34,complement(X_279))))) ),[1],$fot(meet(X_279,complement(join(sk1,X_34))))]]) ).
cnf(refute_0_4804,plain,
( meet(X_279,complement(join(X_34,sk1))) != complement(join(sk1,join(X_34,complement(X_279))))
| meet(X_279,complement(join(X_34,sk1))) = meet(X_279,complement(join(sk1,X_34))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,join(X_34,complement(X_279)))),meet(X_279,complement(join(sk1,X_34)))) )],[refute_0_4802,refute_0_4803]) ).
cnf(refute_0_4805,plain,
meet(X_279,complement(join(X_34,sk1))) = meet(X_279,complement(join(sk1,X_34))),
inference(resolve,[$cnf( $equal(meet(X_279,complement(join(X_34,sk1))),complement(join(sk1,join(X_34,complement(X_279))))) )],[refute_0_4794,refute_0_4804]) ).
cnf(refute_0_4806,plain,
meet(one,complement(join(composition(sk1,complement(converse(sk1))),sk1))) = meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))),
inference(subst,[],[refute_0_4805:[bind(X_279,$fot(one)),bind(X_34,$fot(composition(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_4807,plain,
meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = complement(join(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))),X_281)),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))))]]) ).
cnf(refute_0_4808,plain,
complement(meet(one,complement(sk1))) = meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1))))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(complement(converse(meet(sk1,complement(converse(sk1))))))),bind(X_97,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4809,plain,
converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) = converse(join(X_11,join(X_173,converse(complement(converse(X_11)))))),
inference(subst,[],[refute_0_853:[bind(X_12,$fot(join(X_173,converse(complement(converse(X_11))))))]]) ).
cnf(refute_0_4810,plain,
join(X_31,join(converse(complement(converse(X_31))),X_33)) = join(join(X_31,converse(complement(converse(X_31)))),X_33),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_31)),bind(B,$fot(converse(complement(converse(X_31))))),bind(C,$fot(X_33))]]) ).
cnf(refute_0_4811,plain,
converse(top) = join(X_31,converse(complement(converse(X_31)))),
inference(subst,[],[refute_0_712:[bind(X_15,$fot(X_31))]]) ).
cnf(refute_0_4812,plain,
( converse(top) != join(X_31,converse(complement(converse(X_31))))
| join(X_31,converse(complement(converse(X_31)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_31,converse(complement(converse(X_31))))))]]) ).
cnf(refute_0_4813,plain,
join(X_31,converse(complement(converse(X_31)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_31,converse(complement(converse(X_31))))) )],[refute_0_4811,refute_0_4812]) ).
cnf(refute_0_4814,plain,
( join(X_31,converse(complement(converse(X_31)))) != converse(top)
| join(X_31,join(converse(complement(converse(X_31))),X_33)) != join(join(X_31,converse(complement(converse(X_31)))),X_33)
| join(X_31,join(converse(complement(converse(X_31))),X_33)) = join(converse(top),X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,join(converse(complement(converse(X_31))),X_33)),join(join(X_31,converse(complement(converse(X_31)))),X_33)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_4815,plain,
( join(X_31,join(converse(complement(converse(X_31))),X_33)) != join(join(X_31,converse(complement(converse(X_31)))),X_33)
| join(X_31,join(converse(complement(converse(X_31))),X_33)) = join(converse(top),X_33) ),
inference(resolve,[$cnf( $equal(join(X_31,converse(complement(converse(X_31)))),converse(top)) )],[refute_0_4813,refute_0_4814]) ).
cnf(refute_0_4816,plain,
join(X_31,join(converse(complement(converse(X_31))),X_33)) = join(converse(top),X_33),
inference(resolve,[$cnf( $equal(join(X_31,join(converse(complement(converse(X_31))),X_33)),join(join(X_31,converse(complement(converse(X_31)))),X_33)) )],[refute_0_4810,refute_0_4815]) ).
cnf(refute_0_4817,plain,
join(converse(top),X_33) = join(converse(top),X_33),
introduced(tautology,[refl,[$fot(join(converse(top),X_33))]]) ).
cnf(refute_0_4818,plain,
( converse(top) != top
| join(converse(top),X_33) != join(converse(top),X_33)
| join(converse(top),X_33) = join(top,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),X_33),join(converse(top),X_33)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4819,plain,
( converse(top) != top
| join(converse(top),X_33) = join(top,X_33) ),
inference(resolve,[$cnf( $equal(join(converse(top),X_33),join(converse(top),X_33)) )],[refute_0_4817,refute_0_4818]) ).
cnf(refute_0_4820,plain,
join(converse(top),X_33) = join(top,X_33),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_4819]) ).
cnf(refute_0_4821,plain,
( join(converse(top),X_33) != join(top,X_33)
| join(top,X_33) != top
| join(converse(top),X_33) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(top),X_33))),bind(Y,$fot(join(top,X_33))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4822,plain,
( join(top,X_33) != top
| join(converse(top),X_33) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),X_33),join(top,X_33)) )],[refute_0_4820,refute_0_4821]) ).
cnf(refute_0_4823,plain,
join(converse(top),X_33) = top,
inference(resolve,[$cnf( $equal(join(top,X_33),top) )],[refute_0_460,refute_0_4822]) ).
cnf(refute_0_4824,plain,
( join(X_31,join(converse(complement(converse(X_31))),X_33)) != join(converse(top),X_33)
| join(converse(top),X_33) != top
| join(X_31,join(converse(complement(converse(X_31))),X_33)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_31,join(converse(complement(converse(X_31))),X_33)),top) ),[0],$fot(join(converse(top),X_33))]]) ).
cnf(refute_0_4825,plain,
( join(X_31,join(converse(complement(converse(X_31))),X_33)) != join(converse(top),X_33)
| join(X_31,join(converse(complement(converse(X_31))),X_33)) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),X_33),top) )],[refute_0_4823,refute_0_4824]) ).
cnf(refute_0_4826,plain,
join(X_31,join(converse(complement(converse(X_31))),X_33)) = top,
inference(resolve,[$cnf( $equal(join(X_31,join(converse(complement(converse(X_31))),X_33)),join(converse(top),X_33)) )],[refute_0_4816,refute_0_4825]) ).
cnf(refute_0_4827,plain,
join(X_84,join(converse(complement(converse(X_84))),X_85)) = top,
inference(subst,[],[refute_0_4826:[bind(X_31,$fot(X_84)),bind(X_33,$fot(X_85))]]) ).
cnf(refute_0_4828,plain,
join(X_85,converse(complement(converse(X_84)))) = join(converse(complement(converse(X_84))),X_85),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_85)),bind(B,$fot(converse(complement(converse(X_84)))))]]) ).
cnf(refute_0_4829,plain,
( join(X_85,converse(complement(converse(X_84)))) != join(converse(complement(converse(X_84))),X_85)
| join(converse(complement(converse(X_84))),X_85) = join(X_85,converse(complement(converse(X_84)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_85,converse(complement(converse(X_84)))))),bind(Y,$fot(join(converse(complement(converse(X_84))),X_85)))]]) ).
cnf(refute_0_4830,plain,
join(converse(complement(converse(X_84))),X_85) = join(X_85,converse(complement(converse(X_84)))),
inference(resolve,[$cnf( $equal(join(X_85,converse(complement(converse(X_84)))),join(converse(complement(converse(X_84))),X_85)) )],[refute_0_4828,refute_0_4829]) ).
cnf(refute_0_4831,plain,
( join(X_84,join(converse(complement(converse(X_84))),X_85)) != top
| join(converse(complement(converse(X_84))),X_85) != join(X_85,converse(complement(converse(X_84))))
| join(X_84,join(X_85,converse(complement(converse(X_84))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_84,join(converse(complement(converse(X_84))),X_85)),top) ),[0,1],$fot(join(X_85,converse(complement(converse(X_84)))))]]) ).
cnf(refute_0_4832,plain,
( join(X_84,join(converse(complement(converse(X_84))),X_85)) != top
| join(X_84,join(X_85,converse(complement(converse(X_84))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_84))),X_85),join(X_85,converse(complement(converse(X_84))))) )],[refute_0_4830,refute_0_4831]) ).
cnf(refute_0_4833,plain,
join(X_84,join(X_85,converse(complement(converse(X_84))))) = top,
inference(resolve,[$cnf( $equal(join(X_84,join(converse(complement(converse(X_84))),X_85)),top) )],[refute_0_4827,refute_0_4832]) ).
cnf(refute_0_4834,plain,
join(X_11,join(X_173,converse(complement(converse(X_11))))) = top,
inference(subst,[],[refute_0_4833:[bind(X_84,$fot(X_11)),bind(X_85,$fot(X_173))]]) ).
cnf(refute_0_4835,plain,
( converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) != converse(join(X_11,join(X_173,converse(complement(converse(X_11))))))
| join(X_11,join(X_173,converse(complement(converse(X_11))))) != top
| converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)),converse(join(X_11,join(X_173,converse(complement(converse(X_11))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4836,plain,
( converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) != converse(join(X_11,join(X_173,converse(complement(converse(X_11))))))
| converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(X_11,join(X_173,converse(complement(converse(X_11))))),top) )],[refute_0_4834,refute_0_4835]) ).
cnf(refute_0_4837,plain,
converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)),converse(join(X_11,join(X_173,converse(complement(converse(X_11))))))) )],[refute_0_4809,refute_0_4836]) ).
cnf(refute_0_4838,plain,
join(converse(join(X_11,X_173)),complement(converse(X_11))) = join(complement(converse(X_11)),converse(join(X_11,X_173))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(converse(X_11)))),bind(B,$fot(converse(join(X_11,X_173))))]]) ).
cnf(refute_0_4839,plain,
converse(join(X_11,join(X_173,converse(complement(converse(X_11)))))) = join(converse(join(X_11,X_173)),complement(converse(X_11))),
inference(subst,[],[refute_0_1357:[bind(A,$fot(complement(converse(X_11)))),bind(X_31,$fot(X_11)),bind(X_32,$fot(X_173))]]) ).
cnf(refute_0_4840,plain,
( converse(join(X_11,join(X_173,converse(complement(converse(X_11)))))) != join(converse(join(X_11,X_173)),complement(converse(X_11)))
| join(converse(join(X_11,X_173)),complement(converse(X_11))) != join(complement(converse(X_11)),converse(join(X_11,X_173)))
| converse(join(X_11,join(X_173,converse(complement(converse(X_11)))))) = join(complement(converse(X_11)),converse(join(X_11,X_173))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(X_11,join(X_173,converse(complement(converse(X_11)))))))),bind(Y,$fot(join(converse(join(X_11,X_173)),complement(converse(X_11))))),bind(Z,$fot(join(complement(converse(X_11)),converse(join(X_11,X_173)))))]]) ).
cnf(refute_0_4841,plain,
( join(converse(join(X_11,X_173)),complement(converse(X_11))) != join(complement(converse(X_11)),converse(join(X_11,X_173)))
| converse(join(X_11,join(X_173,converse(complement(converse(X_11)))))) = join(complement(converse(X_11)),converse(join(X_11,X_173))) ),
inference(resolve,[$cnf( $equal(converse(join(X_11,join(X_173,converse(complement(converse(X_11)))))),join(converse(join(X_11,X_173)),complement(converse(X_11)))) )],[refute_0_4839,refute_0_4840]) ).
cnf(refute_0_4842,plain,
converse(join(X_11,join(X_173,converse(complement(converse(X_11)))))) = join(complement(converse(X_11)),converse(join(X_11,X_173))),
inference(resolve,[$cnf( $equal(join(converse(join(X_11,X_173)),complement(converse(X_11))),join(complement(converse(X_11)),converse(join(X_11,X_173)))) )],[refute_0_4838,refute_0_4841]) ).
cnf(refute_0_4843,plain,
( converse(join(X_11,join(X_173,converse(complement(converse(X_11)))))) != join(complement(converse(X_11)),converse(join(X_11,X_173)))
| converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) != converse(join(X_11,join(X_173,converse(complement(converse(X_11))))))
| converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) = join(complement(converse(X_11)),converse(join(X_11,X_173))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)))),bind(Y,$fot(converse(join(X_11,join(X_173,converse(complement(converse(X_11)))))))),bind(Z,$fot(join(complement(converse(X_11)),converse(join(X_11,X_173)))))]]) ).
cnf(refute_0_4844,plain,
( converse(join(X_11,join(X_173,converse(complement(converse(X_11)))))) != join(complement(converse(X_11)),converse(join(X_11,X_173)))
| converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) = join(complement(converse(X_11)),converse(join(X_11,X_173))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)),converse(join(X_11,join(X_173,converse(complement(converse(X_11))))))) )],[refute_0_4809,refute_0_4843]) ).
cnf(refute_0_4845,plain,
converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) = join(complement(converse(X_11)),converse(join(X_11,X_173))),
inference(resolve,[$cnf( $equal(converse(join(X_11,join(X_173,converse(complement(converse(X_11)))))),join(complement(converse(X_11)),converse(join(X_11,X_173)))) )],[refute_0_4842,refute_0_4844]) ).
cnf(refute_0_4846,plain,
( converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) != converse(top)
| converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) != join(complement(converse(X_11)),converse(join(X_11,X_173)))
| join(complement(converse(X_11)),converse(join(X_11,X_173))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)),converse(top)) ),[0],$fot(join(complement(converse(X_11)),converse(join(X_11,X_173))))]]) ).
cnf(refute_0_4847,plain,
( converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) != converse(top)
| join(complement(converse(X_11)),converse(join(X_11,X_173))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)),join(complement(converse(X_11)),converse(join(X_11,X_173)))) )],[refute_0_4845,refute_0_4846]) ).
cnf(refute_0_4848,plain,
( converse(top) != top
| join(complement(converse(X_11)),converse(join(X_11,X_173))) != converse(top)
| join(complement(converse(X_11)),converse(join(X_11,X_173))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_11)),converse(join(X_11,X_173))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_4849,plain,
( join(complement(converse(X_11)),converse(join(X_11,X_173))) != converse(top)
| join(complement(converse(X_11)),converse(join(X_11,X_173))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_4848]) ).
cnf(refute_0_4850,plain,
( converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)) != converse(top)
| join(complement(converse(X_11)),converse(join(X_11,X_173))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_11)),converse(join(X_11,X_173))),converse(top)) )],[refute_0_4847,refute_0_4849]) ).
cnf(refute_0_4851,plain,
join(complement(converse(X_11)),converse(join(X_11,X_173))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(X_173,converse(complement(converse(X_11)))),X_11)),converse(top)) )],[refute_0_4837,refute_0_4850]) ).
cnf(refute_0_4852,plain,
join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))))) = top,
inference(subst,[],[refute_0_4851:[bind(X_11,$fot(meet(sk1,complement(converse(sk1))))),bind(X_173,$fot(complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))))]]) ).
cnf(refute_0_4853,plain,
converse(meet(one,complement(sk1))) = join(meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(meet(sk1,complement(converse(sk1))))),bind(X_117,$fot(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_4854,plain,
meet(sk1,converse(meet(one,complement(sk1)))) = meet(converse(meet(one,complement(sk1))),meet(sk1,converse(meet(one,complement(sk1))))),
inference(subst,[],[refute_0_3250:[bind(X_266,$fot(converse(meet(one,complement(sk1))))),bind(X_267,$fot(sk1))]]) ).
cnf(refute_0_4855,plain,
A = join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(join(complement(A),join(one,complement(join(sk1,complement(A))))))),
inference(subst,[],[refute_0_152:[bind(B,$fot(join(one,complement(join(sk1,complement(A))))))]]) ).
cnf(refute_0_4856,plain,
join(join(X_53,complement(join(sk1,X_53))),one) = join(one,join(X_53,complement(join(sk1,X_53)))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(X_53,complement(join(sk1,X_53))))),bind(B,$fot(one))]]) ).
cnf(refute_0_4857,plain,
join(one,top) = join(one,join(X_53,complement(join(sk1,X_53)))),
inference(subst,[],[refute_0_3897:[bind(X_38,$fot(X_53))]]) ).
cnf(refute_0_4858,plain,
( join(one,top) != join(one,join(X_53,complement(join(sk1,X_53))))
| join(one,join(X_53,complement(join(sk1,X_53)))) = join(one,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,top))),bind(Y,$fot(join(one,join(X_53,complement(join(sk1,X_53))))))]]) ).
cnf(refute_0_4859,plain,
join(one,join(X_53,complement(join(sk1,X_53)))) = join(one,top),
inference(resolve,[$cnf( $equal(join(one,top),join(one,join(X_53,complement(join(sk1,X_53))))) )],[refute_0_4857,refute_0_4858]) ).
cnf(refute_0_4860,plain,
( join(join(X_53,complement(join(sk1,X_53))),one) != join(one,join(X_53,complement(join(sk1,X_53))))
| join(one,join(X_53,complement(join(sk1,X_53)))) != join(one,top)
| join(join(X_53,complement(join(sk1,X_53))),one) = join(one,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(X_53,complement(join(sk1,X_53))),one),join(one,top)) ),[0],$fot(join(one,join(X_53,complement(join(sk1,X_53)))))]]) ).
cnf(refute_0_4861,plain,
( join(join(X_53,complement(join(sk1,X_53))),one) != join(one,join(X_53,complement(join(sk1,X_53))))
| join(join(X_53,complement(join(sk1,X_53))),one) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(one,join(X_53,complement(join(sk1,X_53)))),join(one,top)) )],[refute_0_4859,refute_0_4860]) ).
cnf(refute_0_4862,plain,
join(join(X_53,complement(join(sk1,X_53))),one) = join(one,top),
inference(resolve,[$cnf( $equal(join(join(X_53,complement(join(sk1,X_53))),one),join(one,join(X_53,complement(join(sk1,X_53))))) )],[refute_0_4856,refute_0_4861]) ).
cnf(refute_0_4863,plain,
join(X_53,join(complement(join(sk1,X_53)),one)) = join(X_53,join(one,complement(join(sk1,X_53)))),
inference(subst,[],[refute_0_3874:[bind(X_31,$fot(X_53)),bind(X_32,$fot(complement(join(sk1,X_53)))),bind(X_33,$fot(one))]]) ).
cnf(refute_0_4864,plain,
join(join(X_53,complement(join(sk1,X_53))),one) = join(X_53,join(complement(join(sk1,X_53)),one)),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_53)),bind(B,$fot(complement(join(sk1,X_53)))),bind(C,$fot(one))]]) ).
cnf(refute_0_4865,plain,
( join(X_53,join(complement(join(sk1,X_53)),one)) != join(X_53,join(one,complement(join(sk1,X_53))))
| join(join(X_53,complement(join(sk1,X_53))),one) != join(X_53,join(complement(join(sk1,X_53)),one))
| join(join(X_53,complement(join(sk1,X_53))),one) = join(X_53,join(one,complement(join(sk1,X_53)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(X_53,complement(join(sk1,X_53))),one))),bind(Y,$fot(join(X_53,join(complement(join(sk1,X_53)),one)))),bind(Z,$fot(join(X_53,join(one,complement(join(sk1,X_53))))))]]) ).
cnf(refute_0_4866,plain,
( join(X_53,join(complement(join(sk1,X_53)),one)) != join(X_53,join(one,complement(join(sk1,X_53))))
| join(join(X_53,complement(join(sk1,X_53))),one) = join(X_53,join(one,complement(join(sk1,X_53)))) ),
inference(resolve,[$cnf( $equal(join(join(X_53,complement(join(sk1,X_53))),one),join(X_53,join(complement(join(sk1,X_53)),one))) )],[refute_0_4864,refute_0_4865]) ).
cnf(refute_0_4867,plain,
join(join(X_53,complement(join(sk1,X_53))),one) = join(X_53,join(one,complement(join(sk1,X_53)))),
inference(resolve,[$cnf( $equal(join(X_53,join(complement(join(sk1,X_53)),one)),join(X_53,join(one,complement(join(sk1,X_53))))) )],[refute_0_4863,refute_0_4866]) ).
cnf(refute_0_4868,plain,
( join(join(X_53,complement(join(sk1,X_53))),one) != join(X_53,join(one,complement(join(sk1,X_53))))
| join(join(X_53,complement(join(sk1,X_53))),one) != join(one,top)
| join(X_53,join(one,complement(join(sk1,X_53)))) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_53,complement(join(sk1,X_53))),one),join(one,top)) ),[0],$fot(join(X_53,join(one,complement(join(sk1,X_53)))))]]) ).
cnf(refute_0_4869,plain,
( join(join(X_53,complement(join(sk1,X_53))),one) != join(one,top)
| join(X_53,join(one,complement(join(sk1,X_53)))) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(join(X_53,complement(join(sk1,X_53))),one),join(X_53,join(one,complement(join(sk1,X_53))))) )],[refute_0_4867,refute_0_4868]) ).
cnf(refute_0_4870,plain,
join(X_53,join(one,complement(join(sk1,X_53)))) = join(one,top),
inference(resolve,[$cnf( $equal(join(join(X_53,complement(join(sk1,X_53))),one),join(one,top)) )],[refute_0_4862,refute_0_4869]) ).
cnf(refute_0_4871,plain,
( join(X_53,join(one,complement(join(sk1,X_53)))) != join(one,top)
| join(one,top) != top
| join(X_53,join(one,complement(join(sk1,X_53)))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_53,join(one,complement(join(sk1,X_53)))),top) ),[0],$fot(join(one,top))]]) ).
cnf(refute_0_4872,plain,
( join(X_53,join(one,complement(join(sk1,X_53)))) != join(one,top)
| join(X_53,join(one,complement(join(sk1,X_53)))) = top ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_903,refute_0_4871]) ).
cnf(refute_0_4873,plain,
join(X_53,join(one,complement(join(sk1,X_53)))) = top,
inference(resolve,[$cnf( $equal(join(X_53,join(one,complement(join(sk1,X_53)))),join(one,top)) )],[refute_0_4870,refute_0_4872]) ).
cnf(refute_0_4874,plain,
join(complement(A),join(one,complement(join(sk1,complement(A))))) = top,
inference(subst,[],[refute_0_4873:[bind(X_53,$fot(complement(A)))]]) ).
cnf(refute_0_4875,plain,
( A != join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(join(complement(A),join(one,complement(join(sk1,complement(A)))))))
| join(complement(A),join(one,complement(join(sk1,complement(A))))) != top
| A = join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(A,join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(join(complement(A),join(one,complement(join(sk1,complement(A)))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_4876,plain,
( A != join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(join(complement(A),join(one,complement(join(sk1,complement(A)))))))
| A = join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(A),join(one,complement(join(sk1,complement(A))))),top) )],[refute_0_4874,refute_0_4875]) ).
cnf(refute_0_4877,plain,
A = join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top)),
inference(resolve,[$cnf( $equal(A,join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(join(complement(A),join(one,complement(join(sk1,complement(A)))))))) )],[refute_0_4855,refute_0_4876]) ).
cnf(refute_0_4878,plain,
join(zero,meet(A,join(one,complement(join(sk1,complement(A)))))) = meet(A,join(one,complement(join(sk1,complement(A))))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(meet(A,join(one,complement(join(sk1,complement(A)))))))]]) ).
cnf(refute_0_4879,plain,
join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))) = join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))))]]) ).
cnf(refute_0_4880,plain,
( complement(top) != zero
| join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))) != join(complement(top),meet(A,join(one,complement(join(sk1,complement(A))))))
| join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))) = join(zero,meet(A,join(one,complement(join(sk1,complement(A)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))),join(complement(top),meet(A,join(one,complement(join(sk1,complement(A))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4881,plain,
( complement(top) != zero
| join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))) = join(zero,meet(A,join(one,complement(join(sk1,complement(A)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))),join(complement(top),meet(A,join(one,complement(join(sk1,complement(A))))))) )],[refute_0_4879,refute_0_4880]) ).
cnf(refute_0_4882,plain,
join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))) = join(zero,meet(A,join(one,complement(join(sk1,complement(A)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_4881]) ).
cnf(refute_0_4883,plain,
( join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))) != join(zero,meet(A,join(one,complement(join(sk1,complement(A))))))
| join(zero,meet(A,join(one,complement(join(sk1,complement(A)))))) != meet(A,join(one,complement(join(sk1,complement(A)))))
| join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))) = meet(A,join(one,complement(join(sk1,complement(A))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))))),bind(Y,$fot(join(zero,meet(A,join(one,complement(join(sk1,complement(A)))))))),bind(Z,$fot(meet(A,join(one,complement(join(sk1,complement(A)))))))]]) ).
cnf(refute_0_4884,plain,
( join(zero,meet(A,join(one,complement(join(sk1,complement(A)))))) != meet(A,join(one,complement(join(sk1,complement(A)))))
| join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))) = meet(A,join(one,complement(join(sk1,complement(A))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))),join(zero,meet(A,join(one,complement(join(sk1,complement(A))))))) )],[refute_0_4882,refute_0_4883]) ).
cnf(refute_0_4885,plain,
join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))) = meet(A,join(one,complement(join(sk1,complement(A))))),
inference(resolve,[$cnf( $equal(join(zero,meet(A,join(one,complement(join(sk1,complement(A)))))),meet(A,join(one,complement(join(sk1,complement(A)))))) )],[refute_0_4878,refute_0_4884]) ).
cnf(refute_0_4886,plain,
join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top)) = join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(meet(A,join(one,complement(join(sk1,complement(A)))))))]]) ).
cnf(refute_0_4887,plain,
( join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))) != meet(A,join(one,complement(join(sk1,complement(A)))))
| join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top)) != join(complement(top),meet(A,join(one,complement(join(sk1,complement(A))))))
| join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top)) = meet(A,join(one,complement(join(sk1,complement(A))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))))),bind(Z,$fot(meet(A,join(one,complement(join(sk1,complement(A)))))))]]) ).
cnf(refute_0_4888,plain,
( join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))) != meet(A,join(one,complement(join(sk1,complement(A)))))
| join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top)) = meet(A,join(one,complement(join(sk1,complement(A))))) ),
inference(resolve,[$cnf( $equal(join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top)),join(complement(top),meet(A,join(one,complement(join(sk1,complement(A))))))) )],[refute_0_4886,refute_0_4887]) ).
cnf(refute_0_4889,plain,
join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top)) = meet(A,join(one,complement(join(sk1,complement(A))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(A,join(one,complement(join(sk1,complement(A)))))),meet(A,join(one,complement(join(sk1,complement(A)))))) )],[refute_0_4885,refute_0_4888]) ).
cnf(refute_0_4890,plain,
( A != join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top))
| join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top)) != meet(A,join(one,complement(join(sk1,complement(A)))))
| A = meet(A,join(one,complement(join(sk1,complement(A))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,meet(A,join(one,complement(join(sk1,complement(A)))))) ),[0],$fot(join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top)))]]) ).
cnf(refute_0_4891,plain,
( A != join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top))
| A = meet(A,join(one,complement(join(sk1,complement(A))))) ),
inference(resolve,[$cnf( $equal(join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top)),meet(A,join(one,complement(join(sk1,complement(A)))))) )],[refute_0_4889,refute_0_4890]) ).
cnf(refute_0_4892,plain,
A = meet(A,join(one,complement(join(sk1,complement(A))))),
inference(resolve,[$cnf( $equal(A,join(meet(A,join(one,complement(join(sk1,complement(A))))),complement(top))) )],[refute_0_4877,refute_0_4891]) ).
cnf(refute_0_4893,plain,
complement(X_97) = meet(complement(X_97),join(one,complement(join(sk1,complement(complement(X_97)))))),
inference(subst,[],[refute_0_4892:[bind(A,$fot(complement(X_97)))]]) ).
cnf(refute_0_4894,plain,
( complement(X_97) != meet(complement(X_97),join(one,complement(join(sk1,complement(complement(X_97))))))
| complement(complement(X_97)) != X_97
| complement(X_97) = meet(complement(X_97),join(one,complement(join(sk1,X_97)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_97),meet(complement(X_97),join(one,complement(join(sk1,complement(complement(X_97))))))) ),[1,1,1,0,1],$fot(X_97)]]) ).
cnf(refute_0_4895,plain,
( complement(X_97) != meet(complement(X_97),join(one,complement(join(sk1,complement(complement(X_97))))))
| complement(X_97) = meet(complement(X_97),join(one,complement(join(sk1,X_97)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_4894]) ).
cnf(refute_0_4896,plain,
complement(X_97) = meet(complement(X_97),join(one,complement(join(sk1,X_97)))),
inference(resolve,[$cnf( $equal(complement(X_97),meet(complement(X_97),join(one,complement(join(sk1,complement(complement(X_97))))))) )],[refute_0_4893,refute_0_4895]) ).
cnf(refute_0_4897,plain,
complement(converse(join(complement(converse(sk1)),X_326))) = meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(join(sk1,converse(join(complement(converse(sk1)),X_326)))))),
inference(subst,[],[refute_0_4896:[bind(X_97,$fot(converse(join(complement(converse(sk1)),X_326))))]]) ).
cnf(refute_0_4898,plain,
converse(join(converse(A),join(complement(converse(A)),X_40))) = join(A,converse(join(complement(converse(A)),X_40))),
inference(subst,[],[refute_0_705:[bind(X_12,$fot(join(complement(converse(A)),X_40)))]]) ).
cnf(refute_0_4899,plain,
join(converse(A),join(complement(converse(A)),X_40)) = join(top,X_40),
inference(subst,[],[refute_0_160:[bind(X_31,$fot(converse(A))),bind(X_33,$fot(X_40))]]) ).
cnf(refute_0_4900,plain,
( converse(join(converse(A),join(complement(converse(A)),X_40))) != join(A,converse(join(complement(converse(A)),X_40)))
| join(converse(A),join(complement(converse(A)),X_40)) != join(top,X_40)
| converse(join(top,X_40)) = join(A,converse(join(complement(converse(A)),X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(complement(converse(A)),X_40))),join(A,converse(join(complement(converse(A)),X_40)))) ),[0,0],$fot(join(top,X_40))]]) ).
cnf(refute_0_4901,plain,
( converse(join(converse(A),join(complement(converse(A)),X_40))) != join(A,converse(join(complement(converse(A)),X_40)))
| converse(join(top,X_40)) = join(A,converse(join(complement(converse(A)),X_40))) ),
inference(resolve,[$cnf( $equal(join(converse(A),join(complement(converse(A)),X_40)),join(top,X_40)) )],[refute_0_4899,refute_0_4900]) ).
cnf(refute_0_4902,plain,
converse(join(top,X_40)) = join(A,converse(join(complement(converse(A)),X_40))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(complement(converse(A)),X_40))),join(A,converse(join(complement(converse(A)),X_40)))) )],[refute_0_4898,refute_0_4901]) ).
cnf(refute_0_4903,plain,
join(top,X_40) = top,
inference(subst,[],[refute_0_459:[bind(X_31,$fot(X_40))]]) ).
cnf(refute_0_4904,plain,
converse(join(top,X_40)) = converse(join(top,X_40)),
introduced(tautology,[refl,[$fot(converse(join(top,X_40)))]]) ).
cnf(refute_0_4905,plain,
( converse(join(top,X_40)) != converse(join(top,X_40))
| join(top,X_40) != top
| converse(join(top,X_40)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(top,X_40)),converse(join(top,X_40))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4906,plain,
( join(top,X_40) != top
| converse(join(top,X_40)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(top,X_40)),converse(join(top,X_40))) )],[refute_0_4904,refute_0_4905]) ).
cnf(refute_0_4907,plain,
converse(join(top,X_40)) = converse(top),
inference(resolve,[$cnf( $equal(join(top,X_40),top) )],[refute_0_4903,refute_0_4906]) ).
cnf(refute_0_4908,plain,
( converse(join(top,X_40)) != converse(top)
| converse(join(top,X_40)) != join(A,converse(join(complement(converse(A)),X_40)))
| converse(top) = join(A,converse(join(complement(converse(A)),X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(top,X_40)),join(A,converse(join(complement(converse(A)),X_40)))) ),[0],$fot(converse(top))]]) ).
cnf(refute_0_4909,plain,
( converse(join(top,X_40)) != join(A,converse(join(complement(converse(A)),X_40)))
| converse(top) = join(A,converse(join(complement(converse(A)),X_40))) ),
inference(resolve,[$cnf( $equal(converse(join(top,X_40)),converse(top)) )],[refute_0_4907,refute_0_4908]) ).
cnf(refute_0_4910,plain,
converse(top) = join(A,converse(join(complement(converse(A)),X_40))),
inference(resolve,[$cnf( $equal(converse(join(top,X_40)),join(A,converse(join(complement(converse(A)),X_40)))) )],[refute_0_4902,refute_0_4909]) ).
cnf(refute_0_4911,plain,
( converse(top) != join(A,converse(join(complement(converse(A)),X_40)))
| converse(top) != top
| top = join(A,converse(join(complement(converse(A)),X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(A,converse(join(complement(converse(A)),X_40)))) ),[0],$fot(top)]]) ).
cnf(refute_0_4912,plain,
( converse(top) != join(A,converse(join(complement(converse(A)),X_40)))
| top = join(A,converse(join(complement(converse(A)),X_40))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_4911]) ).
cnf(refute_0_4913,plain,
top = join(A,converse(join(complement(converse(A)),X_40))),
inference(resolve,[$cnf( $equal(converse(top),join(A,converse(join(complement(converse(A)),X_40)))) )],[refute_0_4910,refute_0_4912]) ).
cnf(refute_0_4914,plain,
top = join(sk1,converse(join(complement(converse(sk1)),X_326))),
inference(subst,[],[refute_0_4913:[bind(A,$fot(sk1)),bind(X_40,$fot(X_326))]]) ).
cnf(refute_0_4915,plain,
( top != join(sk1,converse(join(complement(converse(sk1)),X_326)))
| join(sk1,converse(join(complement(converse(sk1)),X_326))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,converse(join(complement(converse(sk1)),X_326)))))]]) ).
cnf(refute_0_4916,plain,
join(sk1,converse(join(complement(converse(sk1)),X_326))) = top,
inference(resolve,[$cnf( $equal(top,join(sk1,converse(join(complement(converse(sk1)),X_326)))) )],[refute_0_4914,refute_0_4915]) ).
cnf(refute_0_4917,plain,
( complement(converse(join(complement(converse(sk1)),X_326))) != meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(join(sk1,converse(join(complement(converse(sk1)),X_326))))))
| join(sk1,converse(join(complement(converse(sk1)),X_326))) != top
| complement(converse(join(complement(converse(sk1)),X_326))) = meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(converse(sk1)),X_326))),meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(join(sk1,converse(join(complement(converse(sk1)),X_326))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_4918,plain,
( complement(converse(join(complement(converse(sk1)),X_326))) != meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(join(sk1,converse(join(complement(converse(sk1)),X_326))))))
| complement(converse(join(complement(converse(sk1)),X_326))) = meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(complement(converse(sk1)),X_326))),top) )],[refute_0_4916,refute_0_4917]) ).
cnf(refute_0_4919,plain,
complement(converse(join(complement(converse(sk1)),X_326))) = meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(converse(sk1)),X_326))),meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(join(sk1,converse(join(complement(converse(sk1)),X_326))))))) )],[refute_0_4897,refute_0_4918]) ).
cnf(refute_0_4920,plain,
complement(join(complement(sk1),converse(X_326))) = meet(sk1,complement(converse(X_326))),
inference(subst,[],[refute_0_3654:[bind(X_279,$fot(sk1)),bind(X_281,$fot(converse(X_326)))]]) ).
cnf(refute_0_4921,plain,
converse(join(converse(complement(sk1)),X_12)) = join(complement(sk1),converse(X_12)),
inference(subst,[],[refute_0_705:[bind(A,$fot(complement(sk1)))]]) ).
cnf(refute_0_4922,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| converse(join(converse(complement(sk1)),X_12)) != join(complement(sk1),converse(X_12))
| converse(join(complement(converse(sk1)),X_12)) = join(complement(sk1),converse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(sk1)),X_12)),join(complement(sk1),converse(X_12))) ),[0,0,0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_4923,plain,
( converse(join(converse(complement(sk1)),X_12)) != join(complement(sk1),converse(X_12))
| converse(join(complement(converse(sk1)),X_12)) = join(complement(sk1),converse(X_12)) ),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_4366,refute_0_4922]) ).
cnf(refute_0_4924,plain,
converse(join(complement(converse(sk1)),X_12)) = join(complement(sk1),converse(X_12)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(sk1)),X_12)),join(complement(sk1),converse(X_12))) )],[refute_0_4921,refute_0_4923]) ).
cnf(refute_0_4925,plain,
converse(join(complement(converse(sk1)),X_326)) = join(complement(sk1),converse(X_326)),
inference(subst,[],[refute_0_4924:[bind(X_12,$fot(X_326))]]) ).
cnf(refute_0_4926,plain,
complement(converse(join(complement(converse(sk1)),X_326))) = complement(converse(join(complement(converse(sk1)),X_326))),
introduced(tautology,[refl,[$fot(complement(converse(join(complement(converse(sk1)),X_326))))]]) ).
cnf(refute_0_4927,plain,
( complement(converse(join(complement(converse(sk1)),X_326))) != complement(converse(join(complement(converse(sk1)),X_326)))
| converse(join(complement(converse(sk1)),X_326)) != join(complement(sk1),converse(X_326))
| complement(converse(join(complement(converse(sk1)),X_326))) = complement(join(complement(sk1),converse(X_326))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(converse(sk1)),X_326))),complement(converse(join(complement(converse(sk1)),X_326)))) ),[1,0],$fot(join(complement(sk1),converse(X_326)))]]) ).
cnf(refute_0_4928,plain,
( converse(join(complement(converse(sk1)),X_326)) != join(complement(sk1),converse(X_326))
| complement(converse(join(complement(converse(sk1)),X_326))) = complement(join(complement(sk1),converse(X_326))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(converse(sk1)),X_326))),complement(converse(join(complement(converse(sk1)),X_326)))) )],[refute_0_4926,refute_0_4927]) ).
cnf(refute_0_4929,plain,
complement(converse(join(complement(converse(sk1)),X_326))) = complement(join(complement(sk1),converse(X_326))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(sk1)),X_326)),join(complement(sk1),converse(X_326))) )],[refute_0_4925,refute_0_4928]) ).
cnf(refute_0_4930,plain,
( complement(converse(join(complement(converse(sk1)),X_326))) != complement(join(complement(sk1),converse(X_326)))
| complement(join(complement(sk1),converse(X_326))) != meet(sk1,complement(converse(X_326)))
| complement(converse(join(complement(converse(sk1)),X_326))) = meet(sk1,complement(converse(X_326))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(join(complement(converse(sk1)),X_326))))),bind(Y,$fot(complement(join(complement(sk1),converse(X_326))))),bind(Z,$fot(meet(sk1,complement(converse(X_326)))))]]) ).
cnf(refute_0_4931,plain,
( complement(join(complement(sk1),converse(X_326))) != meet(sk1,complement(converse(X_326)))
| complement(converse(join(complement(converse(sk1)),X_326))) = meet(sk1,complement(converse(X_326))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(converse(sk1)),X_326))),complement(join(complement(sk1),converse(X_326)))) )],[refute_0_4929,refute_0_4930]) ).
cnf(refute_0_4932,plain,
complement(converse(join(complement(converse(sk1)),X_326))) = meet(sk1,complement(converse(X_326))),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),converse(X_326))),meet(sk1,complement(converse(X_326)))) )],[refute_0_4920,refute_0_4931]) ).
cnf(refute_0_4933,plain,
( complement(converse(join(complement(converse(sk1)),X_326))) != meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top)))
| complement(converse(join(complement(converse(sk1)),X_326))) != meet(sk1,complement(converse(X_326)))
| meet(sk1,complement(converse(X_326))) = meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(converse(sk1)),X_326))),meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top)))) ),[0],$fot(meet(sk1,complement(converse(X_326))))]]) ).
cnf(refute_0_4934,plain,
( complement(converse(join(complement(converse(sk1)),X_326))) != meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top)))
| meet(sk1,complement(converse(X_326))) = meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(converse(sk1)),X_326))),meet(sk1,complement(converse(X_326)))) )],[refute_0_4932,refute_0_4933]) ).
cnf(refute_0_4935,plain,
complement(join(converse(X_326),complement(one))) = meet(one,complement(converse(X_326))),
inference(subst,[],[refute_0_3735:[bind(X_298,$fot(one)),bind(X_299,$fot(converse(X_326)))]]) ).
cnf(refute_0_4936,plain,
meet(sk1,complement(join(converse(X_326),complement(one)))) = meet(sk1,complement(join(converse(X_326),complement(one)))),
introduced(tautology,[refl,[$fot(meet(sk1,complement(join(converse(X_326),complement(one)))))]]) ).
cnf(refute_0_4937,plain,
( complement(join(converse(X_326),complement(one))) != meet(one,complement(converse(X_326)))
| meet(sk1,complement(join(converse(X_326),complement(one)))) != meet(sk1,complement(join(converse(X_326),complement(one))))
| meet(sk1,complement(join(converse(X_326),complement(one)))) = meet(sk1,meet(one,complement(converse(X_326)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(join(converse(X_326),complement(one)))),meet(sk1,complement(join(converse(X_326),complement(one))))) ),[1,1],$fot(meet(one,complement(converse(X_326))))]]) ).
cnf(refute_0_4938,plain,
( complement(join(converse(X_326),complement(one))) != meet(one,complement(converse(X_326)))
| meet(sk1,complement(join(converse(X_326),complement(one)))) = meet(sk1,meet(one,complement(converse(X_326)))) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(join(converse(X_326),complement(one)))),meet(sk1,complement(join(converse(X_326),complement(one))))) )],[refute_0_4936,refute_0_4937]) ).
cnf(refute_0_4939,plain,
meet(sk1,complement(join(converse(X_326),complement(one)))) = meet(sk1,meet(one,complement(converse(X_326)))),
inference(resolve,[$cnf( $equal(complement(join(converse(X_326),complement(one))),meet(one,complement(converse(X_326)))) )],[refute_0_4935,refute_0_4938]) ).
cnf(refute_0_4940,plain,
meet(X_298,complement(join(X_32,A))) = complement(join(complement(X_298),join(X_32,A))),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(X_298)),bind(X_281,$fot(join(X_32,A)))]]) ).
cnf(refute_0_4941,plain,
join(A,join(complement(X_298),X_32)) = join(complement(X_298),join(X_32,A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(complement(X_298)))]]) ).
cnf(refute_0_4942,plain,
( join(A,join(complement(X_298),X_32)) != join(complement(X_298),join(X_32,A))
| join(complement(X_298),join(X_32,A)) = join(A,join(complement(X_298),X_32)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(complement(X_298),X_32)))),bind(Y,$fot(join(complement(X_298),join(X_32,A))))]]) ).
cnf(refute_0_4943,plain,
join(complement(X_298),join(X_32,A)) = join(A,join(complement(X_298),X_32)),
inference(resolve,[$cnf( $equal(join(A,join(complement(X_298),X_32)),join(complement(X_298),join(X_32,A))) )],[refute_0_4941,refute_0_4942]) ).
cnf(refute_0_4944,plain,
( join(complement(X_298),join(X_32,A)) != join(A,join(complement(X_298),X_32))
| meet(X_298,complement(join(X_32,A))) != complement(join(complement(X_298),join(X_32,A)))
| meet(X_298,complement(join(X_32,A))) = complement(join(A,join(complement(X_298),X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_298,complement(join(X_32,A))),complement(join(complement(X_298),join(X_32,A)))) ),[1,0],$fot(join(A,join(complement(X_298),X_32)))]]) ).
cnf(refute_0_4945,plain,
( meet(X_298,complement(join(X_32,A))) != complement(join(complement(X_298),join(X_32,A)))
| meet(X_298,complement(join(X_32,A))) = complement(join(A,join(complement(X_298),X_32))) ),
inference(resolve,[$cnf( $equal(join(complement(X_298),join(X_32,A)),join(A,join(complement(X_298),X_32))) )],[refute_0_4943,refute_0_4944]) ).
cnf(refute_0_4946,plain,
meet(X_298,complement(join(X_32,A))) = complement(join(A,join(complement(X_298),X_32))),
inference(resolve,[$cnf( $equal(meet(X_298,complement(join(X_32,A))),complement(join(complement(X_298),join(X_32,A)))) )],[refute_0_4940,refute_0_4945]) ).
cnf(refute_0_4947,plain,
( meet(X_298,complement(join(X_32,A))) != complement(join(A,join(complement(X_298),X_32)))
| complement(join(A,join(complement(X_298),X_32))) = meet(X_298,complement(join(X_32,A))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_298,complement(join(X_32,A))))),bind(Y,$fot(complement(join(A,join(complement(X_298),X_32)))))]]) ).
cnf(refute_0_4948,plain,
complement(join(A,join(complement(X_298),X_32))) = meet(X_298,complement(join(X_32,A))),
inference(resolve,[$cnf( $equal(meet(X_298,complement(join(X_32,A))),complement(join(A,join(complement(X_298),X_32)))) )],[refute_0_4946,refute_0_4947]) ).
cnf(refute_0_4949,plain,
complement(join(complement(one),join(complement(sk1),converse(X_326)))) = meet(sk1,complement(join(converse(X_326),complement(one)))),
inference(subst,[],[refute_0_4948:[bind(A,$fot(complement(one))),bind(X_298,$fot(sk1)),bind(X_32,$fot(converse(X_326)))]]) ).
cnf(refute_0_4950,plain,
( complement(join(complement(one),join(complement(sk1),converse(X_326)))) != meet(sk1,complement(join(converse(X_326),complement(one))))
| meet(sk1,complement(join(converse(X_326),complement(one)))) != meet(sk1,meet(one,complement(converse(X_326))))
| complement(join(complement(one),join(complement(sk1),converse(X_326)))) = meet(sk1,meet(one,complement(converse(X_326)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(complement(one),join(complement(sk1),converse(X_326)))))),bind(Y,$fot(meet(sk1,complement(join(converse(X_326),complement(one)))))),bind(Z,$fot(meet(sk1,meet(one,complement(converse(X_326))))))]]) ).
cnf(refute_0_4951,plain,
( meet(sk1,complement(join(converse(X_326),complement(one)))) != meet(sk1,meet(one,complement(converse(X_326))))
| complement(join(complement(one),join(complement(sk1),converse(X_326)))) = meet(sk1,meet(one,complement(converse(X_326)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),join(complement(sk1),converse(X_326)))),meet(sk1,complement(join(converse(X_326),complement(one))))) )],[refute_0_4949,refute_0_4950]) ).
cnf(refute_0_4952,plain,
complement(join(complement(one),join(complement(sk1),converse(X_326)))) = meet(sk1,meet(one,complement(converse(X_326)))),
inference(resolve,[$cnf( $equal(meet(sk1,complement(join(converse(X_326),complement(one)))),meet(sk1,meet(one,complement(converse(X_326))))) )],[refute_0_4939,refute_0_4951]) ).
cnf(refute_0_4953,plain,
join(complement(one),converse(join(complement(converse(sk1)),X_326))) = join(complement(one),converse(join(complement(converse(sk1)),X_326))),
introduced(tautology,[refl,[$fot(join(complement(one),converse(join(complement(converse(sk1)),X_326))))]]) ).
cnf(refute_0_4954,plain,
( converse(join(complement(converse(sk1)),X_326)) != join(complement(sk1),converse(X_326))
| join(complement(one),converse(join(complement(converse(sk1)),X_326))) != join(complement(one),converse(join(complement(converse(sk1)),X_326)))
| join(complement(one),converse(join(complement(converse(sk1)),X_326))) = join(complement(one),join(complement(sk1),converse(X_326))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(join(complement(converse(sk1)),X_326))),join(complement(one),converse(join(complement(converse(sk1)),X_326)))) ),[1,1],$fot(join(complement(sk1),converse(X_326)))]]) ).
cnf(refute_0_4955,plain,
( converse(join(complement(converse(sk1)),X_326)) != join(complement(sk1),converse(X_326))
| join(complement(one),converse(join(complement(converse(sk1)),X_326))) = join(complement(one),join(complement(sk1),converse(X_326))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(join(complement(converse(sk1)),X_326))),join(complement(one),converse(join(complement(converse(sk1)),X_326)))) )],[refute_0_4953,refute_0_4954]) ).
cnf(refute_0_4956,plain,
join(complement(one),converse(join(complement(converse(sk1)),X_326))) = join(complement(one),join(complement(sk1),converse(X_326))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(sk1)),X_326)),join(complement(sk1),converse(X_326))) )],[refute_0_4925,refute_0_4955]) ).
cnf(refute_0_4957,plain,
meet(top,complement(one)) = complement(one),
inference(subst,[],[refute_0_3072:[bind(X_105,$fot(complement(one)))]]) ).
cnf(refute_0_4958,plain,
join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))) = join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))),
introduced(tautology,[refl,[$fot(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))))]]) ).
cnf(refute_0_4959,plain,
( join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))) != join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))
| meet(top,complement(one)) != complement(one)
| join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))) = join(complement(one),converse(join(complement(converse(sk1)),X_326))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))),join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_4960,plain,
( meet(top,complement(one)) != complement(one)
| join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))) = join(complement(one),converse(join(complement(converse(sk1)),X_326))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))),join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) )],[refute_0_4958,refute_0_4959]) ).
cnf(refute_0_4961,plain,
join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))) = join(complement(one),converse(join(complement(converse(sk1)),X_326))),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_4957,refute_0_4960]) ).
cnf(refute_0_4962,plain,
( join(complement(one),converse(join(complement(converse(sk1)),X_326))) != join(complement(one),join(complement(sk1),converse(X_326)))
| join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))) != join(complement(one),converse(join(complement(converse(sk1)),X_326)))
| join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))) = join(complement(one),join(complement(sk1),converse(X_326))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))))),bind(Y,$fot(join(complement(one),converse(join(complement(converse(sk1)),X_326))))),bind(Z,$fot(join(complement(one),join(complement(sk1),converse(X_326)))))]]) ).
cnf(refute_0_4963,plain,
( join(complement(one),converse(join(complement(converse(sk1)),X_326))) != join(complement(one),join(complement(sk1),converse(X_326)))
| join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))) = join(complement(one),join(complement(sk1),converse(X_326))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))),join(complement(one),converse(join(complement(converse(sk1)),X_326)))) )],[refute_0_4961,refute_0_4962]) ).
cnf(refute_0_4964,plain,
join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))) = join(complement(one),join(complement(sk1),converse(X_326))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(join(complement(converse(sk1)),X_326))),join(complement(one),join(complement(sk1),converse(X_326)))) )],[refute_0_4956,refute_0_4963]) ).
cnf(refute_0_4965,plain,
complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) = complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))))]]) ).
cnf(refute_0_4966,plain,
( complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) != complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))))
| join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))) != join(complement(one),join(complement(sk1),converse(X_326)))
| complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) = complement(join(complement(one),join(complement(sk1),converse(X_326)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))),complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))))) ),[1,0],$fot(join(complement(one),join(complement(sk1),converse(X_326))))]]) ).
cnf(refute_0_4967,plain,
( join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))) != join(complement(one),join(complement(sk1),converse(X_326)))
| complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) = complement(join(complement(one),join(complement(sk1),converse(X_326)))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))),complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))))) )],[refute_0_4965,refute_0_4966]) ).
cnf(refute_0_4968,plain,
complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) = complement(join(complement(one),join(complement(sk1),converse(X_326)))),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))),join(complement(one),join(complement(sk1),converse(X_326)))) )],[refute_0_4964,refute_0_4967]) ).
cnf(refute_0_4969,plain,
( complement(join(complement(one),join(complement(sk1),converse(X_326)))) != meet(sk1,meet(one,complement(converse(X_326))))
| complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) != complement(join(complement(one),join(complement(sk1),converse(X_326))))
| complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) = meet(sk1,meet(one,complement(converse(X_326)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))))),bind(Y,$fot(complement(join(complement(one),join(complement(sk1),converse(X_326)))))),bind(Z,$fot(meet(sk1,meet(one,complement(converse(X_326))))))]]) ).
cnf(refute_0_4970,plain,
( complement(join(complement(one),join(complement(sk1),converse(X_326)))) != meet(sk1,meet(one,complement(converse(X_326))))
| complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) = meet(sk1,meet(one,complement(converse(X_326)))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))),complement(join(complement(one),join(complement(sk1),converse(X_326))))) )],[refute_0_4968,refute_0_4969]) ).
cnf(refute_0_4971,plain,
complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) = meet(sk1,meet(one,complement(converse(X_326)))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),join(complement(sk1),converse(X_326)))),meet(sk1,meet(one,complement(converse(X_326))))) )],[refute_0_4952,refute_0_4970]) ).
cnf(refute_0_4972,plain,
meet(join(one,complement(X_279)),complement(X_299)) = complement(join(complement(join(one,complement(X_279))),X_299)),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(join(one,complement(X_279)))),bind(X_281,$fot(X_299))]]) ).
cnf(refute_0_4973,plain,
( complement(join(one,complement(X_279))) != meet(X_279,complement(one))
| meet(join(one,complement(X_279)),complement(X_299)) != complement(join(complement(join(one,complement(X_279))),X_299))
| meet(join(one,complement(X_279)),complement(X_299)) = complement(join(meet(X_279,complement(one)),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,complement(X_279)),complement(X_299)),complement(join(complement(join(one,complement(X_279))),X_299))) ),[1,0,0],$fot(meet(X_279,complement(one)))]]) ).
cnf(refute_0_4974,plain,
( meet(join(one,complement(X_279)),complement(X_299)) != complement(join(complement(join(one,complement(X_279))),X_299))
| meet(join(one,complement(X_279)),complement(X_299)) = complement(join(meet(X_279,complement(one)),X_299)) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(X_279))),meet(X_279,complement(one))) )],[refute_0_3217,refute_0_4973]) ).
cnf(refute_0_4975,plain,
meet(join(one,complement(X_279)),complement(X_299)) = complement(join(meet(X_279,complement(one)),X_299)),
inference(resolve,[$cnf( $equal(meet(join(one,complement(X_279)),complement(X_299)),complement(join(complement(join(one,complement(X_279))),X_299))) )],[refute_0_4972,refute_0_4974]) ).
cnf(refute_0_4976,plain,
meet(join(one,complement(top)),complement(converse(join(complement(converse(sk1)),X_326)))) = complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))),
inference(subst,[],[refute_0_4975:[bind(X_279,$fot(top)),bind(X_299,$fot(converse(join(complement(converse(sk1)),X_326))))]]) ).
cnf(refute_0_4977,plain,
meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) = meet(join(one,complement(top)),complement(converse(join(complement(converse(sk1)),X_326)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(join(one,complement(top)))),bind(X_7,$fot(complement(converse(join(complement(converse(sk1)),X_326)))))]]) ).
cnf(refute_0_4978,plain,
( meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) != meet(join(one,complement(top)),complement(converse(join(complement(converse(sk1)),X_326))))
| meet(join(one,complement(top)),complement(converse(join(complement(converse(sk1)),X_326)))) != complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))))
| meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) = complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))))),bind(Y,$fot(meet(join(one,complement(top)),complement(converse(join(complement(converse(sk1)),X_326)))))),bind(Z,$fot(complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))))))]]) ).
cnf(refute_0_4979,plain,
( meet(join(one,complement(top)),complement(converse(join(complement(converse(sk1)),X_326)))) != complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))))
| meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) = complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))),meet(join(one,complement(top)),complement(converse(join(complement(converse(sk1)),X_326))))) )],[refute_0_4977,refute_0_4978]) ).
cnf(refute_0_4980,plain,
meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) = complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(converse(join(complement(converse(sk1)),X_326)))),complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))))) )],[refute_0_4976,refute_0_4979]) ).
cnf(refute_0_4981,plain,
( complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) != meet(sk1,meet(one,complement(converse(X_326))))
| meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) != complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))))
| meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) = meet(sk1,meet(one,complement(converse(X_326)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))))),bind(Y,$fot(complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))))),bind(Z,$fot(meet(sk1,meet(one,complement(converse(X_326))))))]]) ).
cnf(refute_0_4982,plain,
( complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))) != meet(sk1,meet(one,complement(converse(X_326))))
| meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) = meet(sk1,meet(one,complement(converse(X_326)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))),complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326))))) )],[refute_0_4980,refute_0_4981]) ).
cnf(refute_0_4983,plain,
meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) = meet(sk1,meet(one,complement(converse(X_326)))),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),converse(join(complement(converse(sk1)),X_326)))),meet(sk1,meet(one,complement(converse(X_326))))) )],[refute_0_4971,refute_0_4982]) ).
cnf(refute_0_4984,plain,
( meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))) != meet(sk1,meet(one,complement(converse(X_326))))
| meet(sk1,complement(converse(X_326))) != meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top)))
| meet(sk1,complement(converse(X_326))) = meet(sk1,meet(one,complement(converse(X_326)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(converse(X_326))),meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top)))) ),[1],$fot(meet(sk1,meet(one,complement(converse(X_326)))))]]) ).
cnf(refute_0_4985,plain,
( meet(sk1,complement(converse(X_326))) != meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top)))
| meet(sk1,complement(converse(X_326))) = meet(sk1,meet(one,complement(converse(X_326)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top))),meet(sk1,meet(one,complement(converse(X_326))))) )],[refute_0_4983,refute_0_4984]) ).
cnf(refute_0_4986,plain,
( complement(converse(join(complement(converse(sk1)),X_326))) != meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top)))
| meet(sk1,complement(converse(X_326))) = meet(sk1,meet(one,complement(converse(X_326)))) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(converse(X_326))),meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top)))) )],[refute_0_4934,refute_0_4985]) ).
cnf(refute_0_4987,plain,
meet(sk1,complement(converse(X_326))) = meet(sk1,meet(one,complement(converse(X_326)))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(converse(sk1)),X_326))),meet(complement(converse(join(complement(converse(sk1)),X_326))),join(one,complement(top)))) )],[refute_0_4919,refute_0_4986]) ).
cnf(refute_0_4988,plain,
meet(sk1,complement(converse(sk1))) = meet(sk1,meet(one,complement(converse(sk1)))),
inference(subst,[],[refute_0_4987:[bind(X_326,$fot(sk1))]]) ).
cnf(refute_0_4989,plain,
meet(one,converse(complement(sk1))) = meet(one,converse(complement(sk1))),
introduced(tautology,[refl,[$fot(meet(one,converse(complement(sk1))))]]) ).
cnf(refute_0_4990,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| meet(one,converse(complement(sk1))) != meet(one,converse(complement(sk1)))
| meet(one,converse(complement(sk1))) = meet(one,complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(sk1))),meet(one,converse(complement(sk1)))) ),[1,1],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_4991,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| meet(one,converse(complement(sk1))) = meet(one,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(sk1))),meet(one,converse(complement(sk1)))) )],[refute_0_4989,refute_0_4990]) ).
cnf(refute_0_4992,plain,
meet(one,converse(complement(sk1))) = meet(one,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_4366,refute_0_4991]) ).
cnf(refute_0_4993,plain,
( meet(one,converse(complement(sk1))) != converse(meet(one,complement(sk1)))
| meet(one,converse(complement(sk1))) != meet(one,complement(converse(sk1)))
| meet(one,complement(converse(sk1))) = converse(meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(sk1))),converse(meet(one,complement(sk1)))) ),[0],$fot(meet(one,complement(converse(sk1))))]]) ).
cnf(refute_0_4994,plain,
( meet(one,converse(complement(sk1))) != converse(meet(one,complement(sk1)))
| meet(one,complement(converse(sk1))) = converse(meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(sk1))),meet(one,complement(converse(sk1)))) )],[refute_0_4992,refute_0_4993]) ).
cnf(refute_0_4995,plain,
meet(one,complement(converse(sk1))) = converse(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(sk1))),converse(meet(one,complement(sk1)))) )],[refute_0_2983,refute_0_4994]) ).
cnf(refute_0_4996,plain,
( meet(one,complement(converse(sk1))) != converse(meet(one,complement(sk1)))
| meet(sk1,complement(converse(sk1))) != meet(sk1,meet(one,complement(converse(sk1))))
| meet(sk1,complement(converse(sk1))) = meet(sk1,converse(meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(converse(sk1))),meet(sk1,meet(one,complement(converse(sk1))))) ),[1,1],$fot(converse(meet(one,complement(sk1))))]]) ).
cnf(refute_0_4997,plain,
( meet(sk1,complement(converse(sk1))) != meet(sk1,meet(one,complement(converse(sk1))))
| meet(sk1,complement(converse(sk1))) = meet(sk1,converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(sk1))),converse(meet(one,complement(sk1)))) )],[refute_0_4995,refute_0_4996]) ).
cnf(refute_0_4998,plain,
meet(sk1,complement(converse(sk1))) = meet(sk1,converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(sk1,complement(converse(sk1))),meet(sk1,meet(one,complement(converse(sk1))))) )],[refute_0_4988,refute_0_4997]) ).
cnf(refute_0_4999,plain,
( meet(sk1,complement(converse(sk1))) != meet(sk1,converse(meet(one,complement(sk1))))
| meet(sk1,converse(meet(one,complement(sk1)))) = meet(sk1,complement(converse(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(sk1,complement(converse(sk1))))),bind(Y,$fot(meet(sk1,converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_5000,plain,
meet(sk1,converse(meet(one,complement(sk1)))) = meet(sk1,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(meet(sk1,complement(converse(sk1))),meet(sk1,converse(meet(one,complement(sk1))))) )],[refute_0_4998,refute_0_4999]) ).
cnf(refute_0_5001,plain,
( meet(sk1,converse(meet(one,complement(sk1)))) != meet(converse(meet(one,complement(sk1))),meet(sk1,converse(meet(one,complement(sk1)))))
| meet(sk1,converse(meet(one,complement(sk1)))) != meet(sk1,complement(converse(sk1)))
| meet(sk1,converse(meet(one,complement(sk1)))) = meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,converse(meet(one,complement(sk1)))),meet(converse(meet(one,complement(sk1))),meet(sk1,converse(meet(one,complement(sk1)))))) ),[1,1],$fot(meet(sk1,complement(converse(sk1))))]]) ).
cnf(refute_0_5002,plain,
( meet(sk1,converse(meet(one,complement(sk1)))) != meet(converse(meet(one,complement(sk1))),meet(sk1,converse(meet(one,complement(sk1)))))
| meet(sk1,converse(meet(one,complement(sk1)))) = meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(sk1,converse(meet(one,complement(sk1)))),meet(sk1,complement(converse(sk1)))) )],[refute_0_5000,refute_0_5001]) ).
cnf(refute_0_5003,plain,
meet(sk1,converse(meet(one,complement(sk1)))) = meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(sk1,converse(meet(one,complement(sk1)))),meet(converse(meet(one,complement(sk1))),meet(sk1,converse(meet(one,complement(sk1)))))) )],[refute_0_4854,refute_0_5002]) ).
cnf(refute_0_5004,plain,
( meet(sk1,converse(meet(one,complement(sk1)))) != meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1))))
| meet(sk1,converse(meet(one,complement(sk1)))) != meet(sk1,complement(converse(sk1)))
| meet(sk1,complement(converse(sk1))) = meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,converse(meet(one,complement(sk1)))),meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1))))) ),[0],$fot(meet(sk1,complement(converse(sk1))))]]) ).
cnf(refute_0_5005,plain,
( meet(sk1,converse(meet(one,complement(sk1)))) != meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1))))
| meet(sk1,complement(converse(sk1))) = meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(sk1,converse(meet(one,complement(sk1)))),meet(sk1,complement(converse(sk1)))) )],[refute_0_5000,refute_0_5004]) ).
cnf(refute_0_5006,plain,
meet(sk1,complement(converse(sk1))) = meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(sk1,converse(meet(one,complement(sk1)))),meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1))))) )],[refute_0_5003,refute_0_5005]) ).
cnf(refute_0_5007,plain,
( meet(sk1,complement(converse(sk1))) != meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1))))
| meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))) = meet(sk1,complement(converse(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(sk1,complement(converse(sk1))))),bind(Y,$fot(meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_5008,plain,
meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))) = meet(sk1,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(meet(sk1,complement(converse(sk1))),meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1))))) )],[refute_0_5006,refute_0_5007]) ).
cnf(refute_0_5009,plain,
( converse(meet(one,complement(sk1))) != join(meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))))
| meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))) != meet(sk1,complement(converse(sk1)))
| converse(meet(one,complement(sk1))) = join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(sk1))),join(meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))))) ),[1,0],$fot(meet(sk1,complement(converse(sk1))))]]) ).
cnf(refute_0_5010,plain,
( converse(meet(one,complement(sk1))) != join(meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))))
| converse(meet(one,complement(sk1))) = join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))),meet(sk1,complement(converse(sk1)))) )],[refute_0_5008,refute_0_5009]) ).
cnf(refute_0_5011,plain,
converse(meet(one,complement(sk1))) = join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(sk1))),join(meet(converse(meet(one,complement(sk1))),meet(sk1,complement(converse(sk1)))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))))) )],[refute_0_4853,refute_0_5010]) ).
cnf(refute_0_5012,plain,
meet(meet(one,complement(converse(sk1))),complement(X_299)) = complement(join(complement(meet(one,complement(converse(sk1)))),X_299)),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(meet(one,complement(converse(sk1))))),bind(X_281,$fot(X_299))]]) ).
cnf(refute_0_5013,plain,
complement(meet(one,complement(converse(sk1)))) = join(meet(complement(meet(one,complement(converse(sk1)))),one),meet(complement(one),complement(meet(one,complement(converse(sk1)))))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(one)),bind(X_117,$fot(complement(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_5014,plain,
complement(one) = meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(join(one,complement(meet(one,complement(converse(sk1)))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(complement(meet(one,complement(converse(sk1)))))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_5015,plain,
join(converse(sk1),join(meet(one,complement(converse(sk1))),C)) = join(join(converse(sk1),meet(one,complement(converse(sk1)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(converse(sk1))),bind(B,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_5016,plain,
one = join(meet(one,converse(sk1)),meet(one,complement(converse(sk1)))),
inference(subst,[],[refute_0_699:[bind(B,$fot(converse(sk1))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_5017,plain,
converse(sk1) = meet(converse(sk1),converse(join(one,complement(converse(join(one,complement(converse(sk1)))))))),
inference(subst,[],[refute_0_894:[bind(X_97,$fot(converse(sk1)))]]) ).
cnf(refute_0_5018,plain,
converse(join(converse(complement(converse(sk1))),one)) = converse(join(one,converse(complement(converse(sk1))))),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(one)),bind(X_12,$fot(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_5019,plain,
join(one,join(sk1,converse(complement(converse(sk1))))) = join(one,converse(complement(converse(sk1)))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_5020,plain,
converse(top) = join(sk1,converse(complement(converse(sk1)))),
inference(subst,[],[refute_0_712:[bind(X_15,$fot(sk1))]]) ).
cnf(refute_0_5021,plain,
( converse(top) != join(sk1,converse(complement(converse(sk1))))
| join(sk1,converse(complement(converse(sk1)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(sk1,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_5022,plain,
join(sk1,converse(complement(converse(sk1)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(sk1,converse(complement(converse(sk1))))) )],[refute_0_5020,refute_0_5021]) ).
cnf(refute_0_5023,plain,
( join(one,join(sk1,converse(complement(converse(sk1))))) != join(one,converse(complement(converse(sk1))))
| join(sk1,converse(complement(converse(sk1)))) != converse(top)
| join(one,converse(top)) = join(one,converse(complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,converse(complement(converse(sk1))))),join(one,converse(complement(converse(sk1))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_5024,plain,
( join(one,join(sk1,converse(complement(converse(sk1))))) != join(one,converse(complement(converse(sk1))))
| join(one,converse(top)) = join(one,converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(converse(sk1)))),converse(top)) )],[refute_0_5022,refute_0_5023]) ).
cnf(refute_0_5025,plain,
join(one,converse(top)) = join(one,converse(complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,converse(complement(converse(sk1))))),join(one,converse(complement(converse(sk1))))) )],[refute_0_5019,refute_0_5024]) ).
cnf(refute_0_5026,plain,
( join(one,converse(top)) != join(one,converse(complement(converse(sk1))))
| join(one,converse(complement(converse(sk1)))) = join(one,converse(top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(join(one,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_5027,plain,
join(one,converse(complement(converse(sk1)))) = join(one,converse(top)),
inference(resolve,[$cnf( $equal(join(one,converse(top)),join(one,converse(complement(converse(sk1))))) )],[refute_0_5025,refute_0_5026]) ).
cnf(refute_0_5028,plain,
( converse(join(converse(complement(converse(sk1))),one)) != converse(join(one,converse(complement(converse(sk1)))))
| join(one,converse(complement(converse(sk1)))) != join(one,converse(top))
| converse(join(converse(complement(converse(sk1))),one)) = converse(join(one,converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(sk1))),one)),converse(join(one,converse(complement(converse(sk1)))))) ),[1,0],$fot(join(one,converse(top)))]]) ).
cnf(refute_0_5029,plain,
( converse(join(converse(complement(converse(sk1))),one)) != converse(join(one,converse(complement(converse(sk1)))))
| converse(join(converse(complement(converse(sk1))),one)) = converse(join(one,converse(top))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(sk1)))),join(one,converse(top))) )],[refute_0_5027,refute_0_5028]) ).
cnf(refute_0_5030,plain,
converse(join(converse(complement(converse(sk1))),one)) = converse(join(one,converse(top))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(sk1))),one)),converse(join(one,converse(complement(converse(sk1)))))) )],[refute_0_5018,refute_0_5029]) ).
cnf(refute_0_5031,plain,
join(complement(converse(sk1)),converse(one)) = join(converse(one),complement(converse(sk1))),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(one))),bind(B,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_5032,plain,
converse(join(converse(complement(converse(sk1))),one)) = join(complement(converse(sk1)),converse(one)),
inference(subst,[],[refute_0_705:[bind(A,$fot(complement(converse(sk1)))),bind(X_12,$fot(one))]]) ).
cnf(refute_0_5033,plain,
( converse(join(converse(complement(converse(sk1))),one)) != join(complement(converse(sk1)),converse(one))
| join(complement(converse(sk1)),converse(one)) != join(converse(one),complement(converse(sk1)))
| converse(join(converse(complement(converse(sk1))),one)) = join(converse(one),complement(converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(converse(complement(converse(sk1))),one)))),bind(Y,$fot(join(complement(converse(sk1)),converse(one)))),bind(Z,$fot(join(converse(one),complement(converse(sk1)))))]]) ).
cnf(refute_0_5034,plain,
( join(complement(converse(sk1)),converse(one)) != join(converse(one),complement(converse(sk1)))
| converse(join(converse(complement(converse(sk1))),one)) = join(converse(one),complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(sk1))),one)),join(complement(converse(sk1)),converse(one))) )],[refute_0_5032,refute_0_5033]) ).
cnf(refute_0_5035,plain,
converse(join(converse(complement(converse(sk1))),one)) = join(converse(one),complement(converse(sk1))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),converse(one)),join(converse(one),complement(converse(sk1)))) )],[refute_0_5031,refute_0_5034]) ).
cnf(refute_0_5036,plain,
( converse(join(converse(complement(converse(sk1))),one)) != converse(join(one,converse(top)))
| converse(join(converse(complement(converse(sk1))),one)) != join(converse(one),complement(converse(sk1)))
| join(converse(one),complement(converse(sk1))) = converse(join(one,converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(sk1))),one)),converse(join(one,converse(top)))) ),[0],$fot(join(converse(one),complement(converse(sk1))))]]) ).
cnf(refute_0_5037,plain,
( converse(join(converse(complement(converse(sk1))),one)) != converse(join(one,converse(top)))
| join(converse(one),complement(converse(sk1))) = converse(join(one,converse(top))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(sk1))),one)),join(converse(one),complement(converse(sk1)))) )],[refute_0_5035,refute_0_5036]) ).
cnf(refute_0_5038,plain,
join(converse(one),top) = join(top,converse(one)),
inference(subst,[],[refute_0_780:[bind(X_31,$fot(converse(one)))]]) ).
cnf(refute_0_5039,plain,
converse(join(one,converse(top))) = join(converse(one),top),
inference(subst,[],[refute_0_1350:[bind(A,$fot(top)),bind(X_11,$fot(one))]]) ).
cnf(refute_0_5040,plain,
( converse(join(one,converse(top))) != join(converse(one),top)
| join(converse(one),top) != join(top,converse(one))
| converse(join(one,converse(top))) = join(top,converse(one)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,converse(top))))),bind(Y,$fot(join(converse(one),top))),bind(Z,$fot(join(top,converse(one))))]]) ).
cnf(refute_0_5041,plain,
( join(converse(one),top) != join(top,converse(one))
| converse(join(one,converse(top))) = join(top,converse(one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(top))),join(converse(one),top)) )],[refute_0_5039,refute_0_5040]) ).
cnf(refute_0_5042,plain,
converse(join(one,converse(top))) = join(top,converse(one)),
inference(resolve,[$cnf( $equal(join(converse(one),top),join(top,converse(one))) )],[refute_0_5038,refute_0_5041]) ).
cnf(refute_0_5043,plain,
( converse(join(one,converse(top))) != join(top,converse(one))
| join(converse(one),complement(converse(sk1))) != converse(join(one,converse(top)))
| join(converse(one),complement(converse(sk1))) = join(top,converse(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),complement(converse(sk1))),converse(join(one,converse(top)))) ),[1],$fot(join(top,converse(one)))]]) ).
cnf(refute_0_5044,plain,
( join(converse(one),complement(converse(sk1))) != converse(join(one,converse(top)))
| join(converse(one),complement(converse(sk1))) = join(top,converse(one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(top))),join(top,converse(one))) )],[refute_0_5042,refute_0_5043]) ).
cnf(refute_0_5045,plain,
( converse(join(converse(complement(converse(sk1))),one)) != converse(join(one,converse(top)))
| join(converse(one),complement(converse(sk1))) = join(top,converse(one)) ),
inference(resolve,[$cnf( $equal(join(converse(one),complement(converse(sk1))),converse(join(one,converse(top)))) )],[refute_0_5037,refute_0_5044]) ).
cnf(refute_0_5046,plain,
join(converse(one),complement(converse(sk1))) = join(top,converse(one)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(sk1))),one)),converse(join(one,converse(top)))) )],[refute_0_5030,refute_0_5045]) ).
cnf(refute_0_5047,plain,
join(converse(one),complement(converse(sk1))) = join(converse(one),complement(converse(sk1))),
introduced(tautology,[refl,[$fot(join(converse(one),complement(converse(sk1))))]]) ).
cnf(refute_0_5048,plain,
( converse(one) != one
| join(converse(one),complement(converse(sk1))) != join(converse(one),complement(converse(sk1)))
| join(converse(one),complement(converse(sk1))) = join(one,complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),complement(converse(sk1))),join(converse(one),complement(converse(sk1)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5049,plain,
( converse(one) != one
| join(converse(one),complement(converse(sk1))) = join(one,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(one),complement(converse(sk1))),join(converse(one),complement(converse(sk1)))) )],[refute_0_5047,refute_0_5048]) ).
cnf(refute_0_5050,plain,
join(converse(one),complement(converse(sk1))) = join(one,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_5049]) ).
cnf(refute_0_5051,plain,
( join(converse(one),complement(converse(sk1))) != join(one,complement(converse(sk1)))
| join(converse(one),complement(converse(sk1))) != join(top,converse(one))
| join(one,complement(converse(sk1))) = join(top,converse(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),complement(converse(sk1))),join(top,converse(one))) ),[0],$fot(join(one,complement(converse(sk1))))]]) ).
cnf(refute_0_5052,plain,
( join(converse(one),complement(converse(sk1))) != join(top,converse(one))
| join(one,complement(converse(sk1))) = join(top,converse(one)) ),
inference(resolve,[$cnf( $equal(join(converse(one),complement(converse(sk1))),join(one,complement(converse(sk1)))) )],[refute_0_5050,refute_0_5051]) ).
cnf(refute_0_5053,plain,
join(top,one) = join(one,top),
inference(subst,[],[refute_0_782:[bind(X_31,$fot(one))]]) ).
cnf(refute_0_5054,plain,
join(top,converse(one)) = join(top,converse(one)),
introduced(tautology,[refl,[$fot(join(top,converse(one)))]]) ).
cnf(refute_0_5055,plain,
( converse(one) != one
| join(top,converse(one)) != join(top,converse(one))
| join(top,converse(one)) = join(top,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(one)),join(top,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_5056,plain,
( converse(one) != one
| join(top,converse(one)) = join(top,one) ),
inference(resolve,[$cnf( $equal(join(top,converse(one)),join(top,converse(one))) )],[refute_0_5054,refute_0_5055]) ).
cnf(refute_0_5057,plain,
join(top,converse(one)) = join(top,one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_5056]) ).
cnf(refute_0_5058,plain,
( join(top,converse(one)) != join(top,one)
| join(top,one) != join(one,top)
| join(top,converse(one)) = join(one,top) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(top,converse(one)))),bind(Y,$fot(join(top,one))),bind(Z,$fot(join(one,top)))]]) ).
cnf(refute_0_5059,plain,
( join(top,one) != join(one,top)
| join(top,converse(one)) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(top,converse(one)),join(top,one)) )],[refute_0_5057,refute_0_5058]) ).
cnf(refute_0_5060,plain,
join(top,converse(one)) = join(one,top),
inference(resolve,[$cnf( $equal(join(top,one),join(one,top)) )],[refute_0_5053,refute_0_5059]) ).
cnf(refute_0_5061,plain,
( join(one,complement(converse(sk1))) != join(top,converse(one))
| join(top,converse(one)) != join(one,top)
| join(one,complement(converse(sk1))) = join(one,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,complement(converse(sk1))),join(one,top)) ),[0],$fot(join(top,converse(one)))]]) ).
cnf(refute_0_5062,plain,
( join(one,complement(converse(sk1))) != join(top,converse(one))
| join(one,complement(converse(sk1))) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(top,converse(one)),join(one,top)) )],[refute_0_5060,refute_0_5061]) ).
cnf(refute_0_5063,plain,
( join(converse(one),complement(converse(sk1))) != join(top,converse(one))
| join(one,complement(converse(sk1))) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(sk1))),join(top,converse(one))) )],[refute_0_5052,refute_0_5062]) ).
cnf(refute_0_5064,plain,
join(one,complement(converse(sk1))) = join(one,top),
inference(resolve,[$cnf( $equal(join(converse(one),complement(converse(sk1))),join(top,converse(one))) )],[refute_0_5046,refute_0_5063]) ).
cnf(refute_0_5065,plain,
( join(one,complement(converse(sk1))) != join(one,top)
| join(one,top) != top
| join(one,complement(converse(sk1))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,complement(converse(sk1))),top) ),[0],$fot(join(one,top))]]) ).
cnf(refute_0_5066,plain,
( join(one,complement(converse(sk1))) != join(one,top)
| join(one,complement(converse(sk1))) = top ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_903,refute_0_5065]) ).
cnf(refute_0_5067,plain,
join(one,complement(converse(sk1))) = top,
inference(resolve,[$cnf( $equal(join(one,complement(converse(sk1))),join(one,top)) )],[refute_0_5064,refute_0_5066]) ).
cnf(refute_0_5068,plain,
( converse(sk1) != meet(converse(sk1),converse(join(one,complement(converse(join(one,complement(converse(sk1))))))))
| join(one,complement(converse(sk1))) != top
| converse(sk1) = meet(converse(sk1),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(join(one,complement(converse(join(one,complement(converse(sk1))))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_5069,plain,
( converse(sk1) != meet(converse(sk1),converse(join(one,complement(converse(join(one,complement(converse(sk1))))))))
| converse(sk1) = meet(converse(sk1),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(sk1))),top) )],[refute_0_5067,refute_0_5068]) ).
cnf(refute_0_5070,plain,
converse(sk1) = meet(converse(sk1),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(join(one,complement(converse(join(one,complement(converse(sk1))))))))) )],[refute_0_5017,refute_0_5069]) ).
cnf(refute_0_5071,plain,
meet(converse(sk1),one) = meet(one,converse(sk1)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(converse(sk1)))]]) ).
cnf(refute_0_5072,plain,
meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(converse(sk1),converse(join(one,complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(converse(sk1),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_5073,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(sk1),converse(join(one,complement(converse(top))))) != meet(converse(sk1),converse(join(one,complement(converse(top)))))
| meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(converse(sk1),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),converse(join(one,complement(converse(top))))),meet(converse(sk1),converse(join(one,complement(converse(top)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_5074,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(converse(sk1),one) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(join(one,complement(converse(top))))),meet(converse(sk1),converse(join(one,complement(converse(top)))))) )],[refute_0_5072,refute_0_5073]) ).
cnf(refute_0_5075,plain,
meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(converse(sk1),one),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_962,refute_0_5074]) ).
cnf(refute_0_5076,plain,
( meet(converse(sk1),converse(join(one,complement(converse(top))))) != meet(converse(sk1),one)
| meet(converse(sk1),one) != meet(one,converse(sk1))
| meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(one,converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(sk1),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(converse(sk1),one))),bind(Z,$fot(meet(one,converse(sk1))))]]) ).
cnf(refute_0_5077,plain,
( meet(converse(sk1),one) != meet(one,converse(sk1))
| meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(one,converse(sk1)) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(join(one,complement(converse(top))))),meet(converse(sk1),one)) )],[refute_0_5075,refute_0_5076]) ).
cnf(refute_0_5078,plain,
meet(converse(sk1),converse(join(one,complement(converse(top))))) = meet(one,converse(sk1)),
inference(resolve,[$cnf( $equal(meet(converse(sk1),one),meet(one,converse(sk1))) )],[refute_0_5071,refute_0_5077]) ).
cnf(refute_0_5079,plain,
( converse(sk1) != meet(converse(sk1),converse(join(one,complement(converse(top)))))
| meet(converse(sk1),converse(join(one,complement(converse(top))))) != meet(one,converse(sk1))
| converse(sk1) = meet(one,converse(sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk1),meet(one,converse(sk1))) ),[0],$fot(meet(converse(sk1),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_5080,plain,
( converse(sk1) != meet(converse(sk1),converse(join(one,complement(converse(top)))))
| converse(sk1) = meet(one,converse(sk1)) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(join(one,complement(converse(top))))),meet(one,converse(sk1))) )],[refute_0_5078,refute_0_5079]) ).
cnf(refute_0_5081,plain,
converse(sk1) = meet(one,converse(sk1)),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(join(one,complement(converse(top)))))) )],[refute_0_5070,refute_0_5080]) ).
cnf(refute_0_5082,plain,
( converse(sk1) != meet(one,converse(sk1))
| meet(one,converse(sk1)) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(meet(one,converse(sk1))))]]) ).
cnf(refute_0_5083,plain,
meet(one,converse(sk1)) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),meet(one,converse(sk1))) )],[refute_0_5081,refute_0_5082]) ).
cnf(refute_0_5084,plain,
( meet(one,converse(sk1)) != converse(sk1)
| one != join(meet(one,converse(sk1)),meet(one,complement(converse(sk1))))
| one = join(converse(sk1),meet(one,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(sk1)),meet(one,complement(converse(sk1))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_5085,plain,
( one != join(meet(one,converse(sk1)),meet(one,complement(converse(sk1))))
| one = join(converse(sk1),meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(sk1)),converse(sk1)) )],[refute_0_5083,refute_0_5084]) ).
cnf(refute_0_5086,plain,
one = join(converse(sk1),meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(sk1)),meet(one,complement(converse(sk1))))) )],[refute_0_5016,refute_0_5085]) ).
cnf(refute_0_5087,plain,
( one != join(converse(sk1),meet(one,complement(converse(sk1))))
| join(converse(sk1),meet(one,complement(converse(sk1)))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(converse(sk1),meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_5088,plain,
join(converse(sk1),meet(one,complement(converse(sk1)))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(sk1),meet(one,complement(converse(sk1))))) )],[refute_0_5086,refute_0_5087]) ).
cnf(refute_0_5089,plain,
( join(converse(sk1),join(meet(one,complement(converse(sk1))),C)) != join(join(converse(sk1),meet(one,complement(converse(sk1)))),C)
| join(converse(sk1),meet(one,complement(converse(sk1)))) != one
| join(converse(sk1),join(meet(one,complement(converse(sk1))),C)) = join(one,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(converse(sk1))),C)),join(join(converse(sk1),meet(one,complement(converse(sk1)))),C)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5090,plain,
( join(converse(sk1),join(meet(one,complement(converse(sk1))),C)) != join(join(converse(sk1),meet(one,complement(converse(sk1)))),C)
| join(converse(sk1),join(meet(one,complement(converse(sk1))),C)) = join(one,C) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,complement(converse(sk1)))),one) )],[refute_0_5088,refute_0_5089]) ).
cnf(refute_0_5091,plain,
join(converse(sk1),join(meet(one,complement(converse(sk1))),C)) = join(one,C),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(converse(sk1))),C)),join(join(converse(sk1),meet(one,complement(converse(sk1)))),C)) )],[refute_0_5015,refute_0_5090]) ).
cnf(refute_0_5092,plain,
join(converse(sk1),join(meet(one,complement(converse(sk1))),complement(meet(one,complement(converse(sk1)))))) = join(one,complement(meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_5091:[bind(C,$fot(complement(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_5093,plain,
top = join(meet(one,complement(converse(sk1))),complement(meet(one,complement(converse(sk1))))),
inference(subst,[],[def_top_12:[bind(A,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_5094,plain,
( top != join(meet(one,complement(converse(sk1))),complement(meet(one,complement(converse(sk1)))))
| join(meet(one,complement(converse(sk1))),complement(meet(one,complement(converse(sk1))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(meet(one,complement(converse(sk1))),complement(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_5095,plain,
join(meet(one,complement(converse(sk1))),complement(meet(one,complement(converse(sk1))))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(one,complement(converse(sk1))),complement(meet(one,complement(converse(sk1)))))) )],[refute_0_5093,refute_0_5094]) ).
cnf(refute_0_5096,plain,
( join(converse(sk1),join(meet(one,complement(converse(sk1))),complement(meet(one,complement(converse(sk1)))))) != join(one,complement(meet(one,complement(converse(sk1)))))
| join(meet(one,complement(converse(sk1))),complement(meet(one,complement(converse(sk1))))) != top
| join(converse(sk1),top) = join(one,complement(meet(one,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(converse(sk1))),complement(meet(one,complement(converse(sk1)))))),join(one,complement(meet(one,complement(converse(sk1)))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_5097,plain,
( join(converse(sk1),join(meet(one,complement(converse(sk1))),complement(meet(one,complement(converse(sk1)))))) != join(one,complement(meet(one,complement(converse(sk1)))))
| join(converse(sk1),top) = join(one,complement(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),complement(meet(one,complement(converse(sk1))))),top) )],[refute_0_5095,refute_0_5096]) ).
cnf(refute_0_5098,plain,
join(converse(sk1),top) = join(one,complement(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(converse(sk1))),complement(meet(one,complement(converse(sk1)))))),join(one,complement(meet(one,complement(converse(sk1)))))) )],[refute_0_5092,refute_0_5097]) ).
cnf(refute_0_5099,plain,
join(top,converse(sk1)) = top,
inference(subst,[],[refute_0_459:[bind(X_31,$fot(converse(sk1)))]]) ).
cnf(refute_0_5100,plain,
join(converse(sk1),top) = join(top,converse(sk1)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(converse(sk1))),bind(B,$fot(top))]]) ).
cnf(refute_0_5101,plain,
( join(converse(sk1),top) != join(top,converse(sk1))
| join(top,converse(sk1)) != top
| join(converse(sk1),top) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),top))),bind(Y,$fot(join(top,converse(sk1)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_5102,plain,
( join(top,converse(sk1)) != top
| join(converse(sk1),top) = top ),
inference(resolve,[$cnf( $equal(join(converse(sk1),top),join(top,converse(sk1))) )],[refute_0_5100,refute_0_5101]) ).
cnf(refute_0_5103,plain,
join(converse(sk1),top) = top,
inference(resolve,[$cnf( $equal(join(top,converse(sk1)),top) )],[refute_0_5099,refute_0_5102]) ).
cnf(refute_0_5104,plain,
( join(converse(sk1),top) != join(one,complement(meet(one,complement(converse(sk1)))))
| join(converse(sk1),top) != top
| top = join(one,complement(meet(one,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),top),join(one,complement(meet(one,complement(converse(sk1)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_5105,plain,
( join(converse(sk1),top) != join(one,complement(meet(one,complement(converse(sk1)))))
| top = join(one,complement(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),top),top) )],[refute_0_5103,refute_0_5104]) ).
cnf(refute_0_5106,plain,
top = join(one,complement(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),top),join(one,complement(meet(one,complement(converse(sk1)))))) )],[refute_0_5098,refute_0_5105]) ).
cnf(refute_0_5107,plain,
( top != join(one,complement(meet(one,complement(converse(sk1)))))
| join(one,complement(meet(one,complement(converse(sk1))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_5108,plain,
join(one,complement(meet(one,complement(converse(sk1))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(meet(one,complement(converse(sk1)))))) )],[refute_0_5106,refute_0_5107]) ).
cnf(refute_0_5109,plain,
( complement(one) != meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(join(one,complement(meet(one,complement(converse(sk1))))))))
| join(one,complement(meet(one,complement(converse(sk1))))) != top
| complement(one) = meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(join(one,complement(meet(one,complement(converse(sk1))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_5110,plain,
( complement(one) != meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(join(one,complement(meet(one,complement(converse(sk1))))))))
| complement(one) = meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(one,complement(converse(sk1))))),top) )],[refute_0_5108,refute_0_5109]) ).
cnf(refute_0_5111,plain,
complement(one) = meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(join(one,complement(meet(one,complement(converse(sk1))))))))) )],[refute_0_5014,refute_0_5110]) ).
cnf(refute_0_5112,plain,
meet(top,meet(one,complement(converse(sk1)))) = meet(one,complement(converse(sk1))),
inference(subst,[],[refute_0_3072:[bind(X_105,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_5113,plain,
complement(meet(top,meet(one,complement(converse(sk1))))) = complement(meet(top,meet(one,complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(complement(meet(top,meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_5114,plain,
( complement(meet(top,meet(one,complement(converse(sk1))))) != complement(meet(top,meet(one,complement(converse(sk1)))))
| meet(top,meet(one,complement(converse(sk1)))) != meet(one,complement(converse(sk1)))
| complement(meet(top,meet(one,complement(converse(sk1))))) = complement(meet(one,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,meet(one,complement(converse(sk1))))),complement(meet(top,meet(one,complement(converse(sk1)))))) ),[1,0],$fot(meet(one,complement(converse(sk1))))]]) ).
cnf(refute_0_5115,plain,
( meet(top,meet(one,complement(converse(sk1)))) != meet(one,complement(converse(sk1)))
| complement(meet(top,meet(one,complement(converse(sk1))))) = complement(meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,meet(one,complement(converse(sk1))))),complement(meet(top,meet(one,complement(converse(sk1)))))) )],[refute_0_5113,refute_0_5114]) ).
cnf(refute_0_5116,plain,
complement(meet(top,meet(one,complement(converse(sk1))))) = complement(meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(top,meet(one,complement(converse(sk1)))),meet(one,complement(converse(sk1)))) )],[refute_0_5112,refute_0_5115]) ).
cnf(refute_0_5117,plain,
join(complement(top),complement(meet(one,complement(converse(sk1))))) = complement(meet(top,meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(top)),bind(B,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_5118,plain,
join(complement(meet(one,complement(converse(sk1)))),complement(top)) = join(complement(top),complement(meet(one,complement(converse(sk1))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(meet(one,complement(converse(sk1)))))),bind(B,$fot(complement(top)))]]) ).
cnf(refute_0_5119,plain,
( join(complement(meet(one,complement(converse(sk1)))),complement(top)) != join(complement(top),complement(meet(one,complement(converse(sk1)))))
| join(complement(top),complement(meet(one,complement(converse(sk1))))) != complement(meet(top,meet(one,complement(converse(sk1)))))
| join(complement(meet(one,complement(converse(sk1)))),complement(top)) = complement(meet(top,meet(one,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(meet(one,complement(converse(sk1)))),complement(top)))),bind(Y,$fot(join(complement(top),complement(meet(one,complement(converse(sk1))))))),bind(Z,$fot(complement(meet(top,meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_5120,plain,
( join(complement(top),complement(meet(one,complement(converse(sk1))))) != complement(meet(top,meet(one,complement(converse(sk1)))))
| join(complement(meet(one,complement(converse(sk1)))),complement(top)) = complement(meet(top,meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(sk1)))),complement(top)),join(complement(top),complement(meet(one,complement(converse(sk1)))))) )],[refute_0_5118,refute_0_5119]) ).
cnf(refute_0_5121,plain,
join(complement(meet(one,complement(converse(sk1)))),complement(top)) = complement(meet(top,meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(meet(one,complement(converse(sk1))))),complement(meet(top,meet(one,complement(converse(sk1)))))) )],[refute_0_5117,refute_0_5120]) ).
cnf(refute_0_5122,plain,
( complement(meet(top,meet(one,complement(converse(sk1))))) != complement(meet(one,complement(converse(sk1))))
| join(complement(meet(one,complement(converse(sk1)))),complement(top)) != complement(meet(top,meet(one,complement(converse(sk1)))))
| join(complement(meet(one,complement(converse(sk1)))),complement(top)) = complement(meet(one,complement(converse(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(meet(one,complement(converse(sk1)))),complement(top)))),bind(Y,$fot(complement(meet(top,meet(one,complement(converse(sk1))))))),bind(Z,$fot(complement(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_5123,plain,
( complement(meet(top,meet(one,complement(converse(sk1))))) != complement(meet(one,complement(converse(sk1))))
| join(complement(meet(one,complement(converse(sk1)))),complement(top)) = complement(meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(sk1)))),complement(top)),complement(meet(top,meet(one,complement(converse(sk1)))))) )],[refute_0_5121,refute_0_5122]) ).
cnf(refute_0_5124,plain,
join(complement(meet(one,complement(converse(sk1)))),complement(top)) = complement(meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(meet(top,meet(one,complement(converse(sk1))))),complement(meet(one,complement(converse(sk1))))) )],[refute_0_5116,refute_0_5123]) ).
cnf(refute_0_5125,plain,
meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))) = meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))))]]) ).
cnf(refute_0_5126,plain,
( join(complement(meet(one,complement(converse(sk1)))),complement(top)) != complement(meet(one,complement(converse(sk1))))
| meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))) != meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top)))
| meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))) = meet(complement(one),complement(meet(one,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))),meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top)))) ),[1,1],$fot(complement(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_5127,plain,
( join(complement(meet(one,complement(converse(sk1)))),complement(top)) != complement(meet(one,complement(converse(sk1))))
| meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))) = meet(complement(one),complement(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))),meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top)))) )],[refute_0_5125,refute_0_5126]) ).
cnf(refute_0_5128,plain,
meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))) = meet(complement(one),complement(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(sk1)))),complement(top)),complement(meet(one,complement(converse(sk1))))) )],[refute_0_5124,refute_0_5127]) ).
cnf(refute_0_5129,plain,
( complement(one) != meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top)))
| meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))) != meet(complement(one),complement(meet(one,complement(converse(sk1)))))
| complement(one) = meet(complement(one),complement(meet(one,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(meet(one,complement(converse(sk1)))))) ),[0],$fot(meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))))]]) ).
cnf(refute_0_5130,plain,
( complement(one) != meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top)))
| complement(one) = meet(complement(one),complement(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top))),meet(complement(one),complement(meet(one,complement(converse(sk1)))))) )],[refute_0_5128,refute_0_5129]) ).
cnf(refute_0_5131,plain,
complement(one) = meet(complement(one),complement(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(meet(one,complement(converse(sk1)))),complement(top)))) )],[refute_0_5111,refute_0_5130]) ).
cnf(refute_0_5132,plain,
( complement(one) != meet(complement(one),complement(meet(one,complement(converse(sk1)))))
| meet(complement(one),complement(meet(one,complement(converse(sk1))))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_5133,plain,
meet(complement(one),complement(meet(one,complement(converse(sk1))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(meet(one,complement(converse(sk1)))))) )],[refute_0_5131,refute_0_5132]) ).
cnf(refute_0_5134,plain,
( complement(meet(one,complement(converse(sk1)))) != join(meet(complement(meet(one,complement(converse(sk1)))),one),meet(complement(one),complement(meet(one,complement(converse(sk1))))))
| meet(complement(one),complement(meet(one,complement(converse(sk1))))) != complement(one)
| complement(meet(one,complement(converse(sk1)))) = join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(converse(sk1)))),join(meet(complement(meet(one,complement(converse(sk1)))),one),meet(complement(one),complement(meet(one,complement(converse(sk1))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_5135,plain,
( complement(meet(one,complement(converse(sk1)))) != join(meet(complement(meet(one,complement(converse(sk1)))),one),meet(complement(one),complement(meet(one,complement(converse(sk1))))))
| complement(meet(one,complement(converse(sk1)))) = join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(meet(one,complement(converse(sk1))))),complement(one)) )],[refute_0_5133,refute_0_5134]) ).
cnf(refute_0_5136,plain,
complement(meet(one,complement(converse(sk1)))) = join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(sk1)))),join(meet(complement(meet(one,complement(converse(sk1)))),one),meet(complement(one),complement(meet(one,complement(converse(sk1))))))) )],[refute_0_5013,refute_0_5135]) ).
cnf(refute_0_5137,plain,
converse(join(complement(one),sk1)) = converse(join(sk1,complement(one))),
inference(subst,[],[refute_0_4258:[bind(B,$fot(complement(one)))]]) ).
cnf(refute_0_5138,plain,
join(complement(one),converse(sk1)) = converse(join(complement(one),sk1)),
inference(subst,[],[refute_0_1764:[bind(X_12,$fot(sk1))]]) ).
cnf(refute_0_5139,plain,
( converse(join(complement(one),sk1)) != converse(join(sk1,complement(one)))
| join(complement(one),converse(sk1)) != converse(join(complement(one),sk1))
| join(complement(one),converse(sk1)) = converse(join(sk1,complement(one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),converse(sk1)))),bind(Y,$fot(converse(join(complement(one),sk1)))),bind(Z,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_5140,plain,
( converse(join(complement(one),sk1)) != converse(join(sk1,complement(one)))
| join(complement(one),converse(sk1)) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),converse(join(complement(one),sk1))) )],[refute_0_5138,refute_0_5139]) ).
cnf(refute_0_5141,plain,
join(complement(one),converse(sk1)) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),sk1)),converse(join(sk1,complement(one)))) )],[refute_0_5137,refute_0_5140]) ).
cnf(refute_0_5142,plain,
meet(one,complement(meet(one,complement(converse(sk1))))) = complement(complement(meet(one,complement(meet(one,complement(converse(sk1))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(one,complement(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_5143,plain,
complement(converse(sk1)) = join(meet(complement(one),complement(converse(sk1))),complement(join(complement(complement(converse(sk1))),complement(one)))),
inference(subst,[],[refute_0_1502:[bind(X_97,$fot(complement(converse(sk1)))),bind(X_98,$fot(complement(one)))]]) ).
cnf(refute_0_5144,plain,
complement(one) = meet(complement(one),join(complement(converse(sk1)),complement(join(one,complement(converse(sk1)))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(complement(converse(sk1)))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_5145,plain,
( complement(one) != meet(complement(one),join(complement(converse(sk1)),complement(join(one,complement(converse(sk1))))))
| join(one,complement(converse(sk1))) != top
| complement(one) = meet(complement(one),join(complement(converse(sk1)),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(sk1)),complement(join(one,complement(converse(sk1))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_5146,plain,
( complement(one) != meet(complement(one),join(complement(converse(sk1)),complement(join(one,complement(converse(sk1))))))
| complement(one) = meet(complement(one),join(complement(converse(sk1)),complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(sk1))),top) )],[refute_0_5067,refute_0_5145]) ).
cnf(refute_0_5147,plain,
complement(one) = meet(complement(one),join(complement(converse(sk1)),complement(top))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(sk1)),complement(join(one,complement(converse(sk1))))))) )],[refute_0_5144,refute_0_5146]) ).
cnf(refute_0_5148,plain,
meet(converse(sk1),top) = converse(sk1),
inference(subst,[],[refute_0_1906:[bind(X_97,$fot(converse(sk1)))]]) ).
cnf(refute_0_5149,plain,
complement(meet(converse(sk1),top)) = complement(meet(converse(sk1),top)),
introduced(tautology,[refl,[$fot(complement(meet(converse(sk1),top)))]]) ).
cnf(refute_0_5150,plain,
( complement(meet(converse(sk1),top)) != complement(meet(converse(sk1),top))
| meet(converse(sk1),top) != converse(sk1)
| complement(meet(converse(sk1),top)) = complement(converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(sk1),top)),complement(meet(converse(sk1),top))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_5151,plain,
( meet(converse(sk1),top) != converse(sk1)
| complement(meet(converse(sk1),top)) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(sk1),top)),complement(meet(converse(sk1),top))) )],[refute_0_5149,refute_0_5150]) ).
cnf(refute_0_5152,plain,
complement(meet(converse(sk1),top)) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(meet(converse(sk1),top),converse(sk1)) )],[refute_0_5148,refute_0_5151]) ).
cnf(refute_0_5153,plain,
join(complement(converse(sk1)),complement(top)) = complement(meet(converse(sk1),top)),
inference(subst,[],[refute_0_1144:[bind(A,$fot(converse(sk1))),bind(B,$fot(top))]]) ).
cnf(refute_0_5154,plain,
( complement(meet(converse(sk1),top)) != complement(converse(sk1))
| join(complement(converse(sk1)),complement(top)) != complement(meet(converse(sk1),top))
| join(complement(converse(sk1)),complement(top)) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(sk1)),complement(top)))),bind(Y,$fot(complement(meet(converse(sk1),top)))),bind(Z,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_5155,plain,
( complement(meet(converse(sk1),top)) != complement(converse(sk1))
| join(complement(converse(sk1)),complement(top)) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),complement(top)),complement(meet(converse(sk1),top))) )],[refute_0_5153,refute_0_5154]) ).
cnf(refute_0_5156,plain,
join(complement(converse(sk1)),complement(top)) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(complement(meet(converse(sk1),top)),complement(converse(sk1))) )],[refute_0_5152,refute_0_5155]) ).
cnf(refute_0_5157,plain,
meet(complement(one),join(complement(converse(sk1)),complement(top))) = meet(complement(one),join(complement(converse(sk1)),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(converse(sk1)),complement(top))))]]) ).
cnf(refute_0_5158,plain,
( join(complement(converse(sk1)),complement(top)) != complement(converse(sk1))
| meet(complement(one),join(complement(converse(sk1)),complement(top))) != meet(complement(one),join(complement(converse(sk1)),complement(top)))
| meet(complement(one),join(complement(converse(sk1)),complement(top))) = meet(complement(one),complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(converse(sk1)),complement(top))),meet(complement(one),join(complement(converse(sk1)),complement(top)))) ),[1,1],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_5159,plain,
( join(complement(converse(sk1)),complement(top)) != complement(converse(sk1))
| meet(complement(one),join(complement(converse(sk1)),complement(top))) = meet(complement(one),complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(sk1)),complement(top))),meet(complement(one),join(complement(converse(sk1)),complement(top)))) )],[refute_0_5157,refute_0_5158]) ).
cnf(refute_0_5160,plain,
meet(complement(one),join(complement(converse(sk1)),complement(top))) = meet(complement(one),complement(converse(sk1))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),complement(top)),complement(converse(sk1))) )],[refute_0_5156,refute_0_5159]) ).
cnf(refute_0_5161,plain,
( complement(one) != meet(complement(one),join(complement(converse(sk1)),complement(top)))
| meet(complement(one),join(complement(converse(sk1)),complement(top))) != meet(complement(one),complement(converse(sk1)))
| complement(one) = meet(complement(one),complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(converse(sk1)))) ),[0],$fot(meet(complement(one),join(complement(converse(sk1)),complement(top))))]]) ).
cnf(refute_0_5162,plain,
( complement(one) != meet(complement(one),join(complement(converse(sk1)),complement(top)))
| complement(one) = meet(complement(one),complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(sk1)),complement(top))),meet(complement(one),complement(converse(sk1)))) )],[refute_0_5160,refute_0_5161]) ).
cnf(refute_0_5163,plain,
complement(one) = meet(complement(one),complement(converse(sk1))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(sk1)),complement(top)))) )],[refute_0_5147,refute_0_5162]) ).
cnf(refute_0_5164,plain,
( complement(one) != meet(complement(one),complement(converse(sk1)))
| meet(complement(one),complement(converse(sk1))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(converse(sk1)))))]]) ).
cnf(refute_0_5165,plain,
meet(complement(one),complement(converse(sk1))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(converse(sk1)))) )],[refute_0_5163,refute_0_5164]) ).
cnf(refute_0_5166,plain,
( complement(converse(sk1)) != join(meet(complement(one),complement(converse(sk1))),complement(join(complement(complement(converse(sk1))),complement(one))))
| meet(complement(one),complement(converse(sk1))) != complement(one)
| complement(converse(sk1)) = join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(sk1)),join(meet(complement(one),complement(converse(sk1))),complement(join(complement(complement(converse(sk1))),complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_5167,plain,
( complement(converse(sk1)) != join(meet(complement(one),complement(converse(sk1))),complement(join(complement(complement(converse(sk1))),complement(one))))
| complement(converse(sk1)) = join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(sk1))),complement(one)) )],[refute_0_5165,refute_0_5166]) ).
cnf(refute_0_5168,plain,
complement(converse(sk1)) = join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one)))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(meet(complement(one),complement(converse(sk1))),complement(join(complement(complement(converse(sk1))),complement(one))))) )],[refute_0_5143,refute_0_5167]) ).
cnf(refute_0_5169,plain,
join(complement(one),complement(complement(converse(sk1)))) = complement(meet(one,complement(converse(sk1)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_5170,plain,
join(complement(complement(converse(sk1))),complement(one)) = join(complement(one),complement(complement(converse(sk1)))),
inference(subst,[],[refute_0_2226:[bind(A,$fot(complement(complement(converse(sk1)))))]]) ).
cnf(refute_0_5171,plain,
( join(complement(complement(converse(sk1))),complement(one)) != join(complement(one),complement(complement(converse(sk1))))
| join(complement(one),complement(complement(converse(sk1)))) != complement(meet(one,complement(converse(sk1))))
| join(complement(complement(converse(sk1))),complement(one)) = complement(meet(one,complement(converse(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(converse(sk1))),complement(one)))),bind(Y,$fot(join(complement(one),complement(complement(converse(sk1)))))),bind(Z,$fot(complement(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_5172,plain,
( join(complement(one),complement(complement(converse(sk1)))) != complement(meet(one,complement(converse(sk1))))
| join(complement(complement(converse(sk1))),complement(one)) = complement(meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),complement(one)),join(complement(one),complement(complement(converse(sk1))))) )],[refute_0_5170,refute_0_5171]) ).
cnf(refute_0_5173,plain,
join(complement(complement(converse(sk1))),complement(one)) = complement(meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(complement(converse(sk1)))),complement(meet(one,complement(converse(sk1))))) )],[refute_0_5169,refute_0_5172]) ).
cnf(refute_0_5174,plain,
meet(one,join(complement(complement(converse(sk1))),complement(one))) = meet(one,join(complement(complement(converse(sk1))),complement(one))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(complement(converse(sk1))),complement(one))))]]) ).
cnf(refute_0_5175,plain,
( join(complement(complement(converse(sk1))),complement(one)) != complement(meet(one,complement(converse(sk1))))
| meet(one,join(complement(complement(converse(sk1))),complement(one))) != meet(one,join(complement(complement(converse(sk1))),complement(one)))
| meet(one,join(complement(complement(converse(sk1))),complement(one))) = meet(one,complement(meet(one,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(complement(converse(sk1))),complement(one))),meet(one,join(complement(complement(converse(sk1))),complement(one)))) ),[1,1],$fot(complement(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_5176,plain,
( join(complement(complement(converse(sk1))),complement(one)) != complement(meet(one,complement(converse(sk1))))
| meet(one,join(complement(complement(converse(sk1))),complement(one))) = meet(one,complement(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(complement(converse(sk1))),complement(one))),meet(one,join(complement(complement(converse(sk1))),complement(one)))) )],[refute_0_5174,refute_0_5175]) ).
cnf(refute_0_5177,plain,
meet(one,join(complement(complement(converse(sk1))),complement(one))) = meet(one,complement(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),complement(one)),complement(meet(one,complement(converse(sk1))))) )],[refute_0_5173,refute_0_5176]) ).
cnf(refute_0_5178,plain,
complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))) = complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))))]]) ).
cnf(refute_0_5179,plain,
( complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))) != complement(meet(one,join(complement(complement(converse(sk1))),complement(one))))
| meet(one,join(complement(complement(converse(sk1))),complement(one))) != meet(one,complement(meet(one,complement(converse(sk1)))))
| complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))) = complement(meet(one,complement(meet(one,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))),complement(meet(one,join(complement(complement(converse(sk1))),complement(one))))) ),[1,0],$fot(meet(one,complement(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_5180,plain,
( meet(one,join(complement(complement(converse(sk1))),complement(one))) != meet(one,complement(meet(one,complement(converse(sk1)))))
| complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))) = complement(meet(one,complement(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))),complement(meet(one,join(complement(complement(converse(sk1))),complement(one))))) )],[refute_0_5178,refute_0_5179]) ).
cnf(refute_0_5181,plain,
complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))) = complement(meet(one,complement(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(complement(converse(sk1))),complement(one))),meet(one,complement(meet(one,complement(converse(sk1)))))) )],[refute_0_5177,refute_0_5180]) ).
cnf(refute_0_5182,plain,
join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one)))) = complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(join(complement(complement(converse(sk1))),complement(one))))]]) ).
cnf(refute_0_5183,plain,
( complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))) != complement(meet(one,complement(meet(one,complement(converse(sk1))))))
| join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one)))) != complement(meet(one,join(complement(complement(converse(sk1))),complement(one))))
| join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one)))) = complement(meet(one,complement(meet(one,complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one)))))),bind(Y,$fot(complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))))),bind(Z,$fot(complement(meet(one,complement(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_5184,plain,
( complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))) != complement(meet(one,complement(meet(one,complement(converse(sk1))))))
| join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one)))) = complement(meet(one,complement(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one)))),complement(meet(one,join(complement(complement(converse(sk1))),complement(one))))) )],[refute_0_5182,refute_0_5183]) ).
cnf(refute_0_5185,plain,
join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one)))) = complement(meet(one,complement(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(complement(converse(sk1))),complement(one)))),complement(meet(one,complement(meet(one,complement(converse(sk1))))))) )],[refute_0_5181,refute_0_5184]) ).
cnf(refute_0_5186,plain,
( complement(converse(sk1)) != join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one))))
| join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one)))) != complement(meet(one,complement(meet(one,complement(converse(sk1))))))
| complement(converse(sk1)) = complement(meet(one,complement(meet(one,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(sk1)),complement(meet(one,complement(meet(one,complement(converse(sk1))))))) ),[0],$fot(join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one)))))]]) ).
cnf(refute_0_5187,plain,
( complement(converse(sk1)) != join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one))))
| complement(converse(sk1)) = complement(meet(one,complement(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one)))),complement(meet(one,complement(meet(one,complement(converse(sk1))))))) )],[refute_0_5185,refute_0_5186]) ).
cnf(refute_0_5188,plain,
complement(converse(sk1)) = complement(meet(one,complement(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(complement(one),complement(join(complement(complement(converse(sk1))),complement(one))))) )],[refute_0_5168,refute_0_5187]) ).
cnf(refute_0_5189,plain,
( complement(converse(sk1)) != complement(meet(one,complement(meet(one,complement(converse(sk1))))))
| complement(meet(one,complement(meet(one,complement(converse(sk1)))))) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(sk1)))),bind(Y,$fot(complement(meet(one,complement(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_5190,plain,
complement(meet(one,complement(meet(one,complement(converse(sk1)))))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),complement(meet(one,complement(meet(one,complement(converse(sk1))))))) )],[refute_0_5188,refute_0_5189]) ).
cnf(refute_0_5191,plain,
( complement(meet(one,complement(meet(one,complement(converse(sk1)))))) != complement(converse(sk1))
| meet(one,complement(meet(one,complement(converse(sk1))))) != complement(complement(meet(one,complement(meet(one,complement(converse(sk1)))))))
| meet(one,complement(meet(one,complement(converse(sk1))))) = complement(complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(sk1))))),complement(complement(meet(one,complement(meet(one,complement(converse(sk1)))))))) ),[1,0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_5192,plain,
( meet(one,complement(meet(one,complement(converse(sk1))))) != complement(complement(meet(one,complement(meet(one,complement(converse(sk1)))))))
| meet(one,complement(meet(one,complement(converse(sk1))))) = complement(complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,complement(converse(sk1)))))),complement(converse(sk1))) )],[refute_0_5190,refute_0_5191]) ).
cnf(refute_0_5193,plain,
meet(one,complement(meet(one,complement(converse(sk1))))) = complement(complement(converse(sk1))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(sk1))))),complement(complement(meet(one,complement(meet(one,complement(converse(sk1)))))))) )],[refute_0_5142,refute_0_5192]) ).
cnf(refute_0_5194,plain,
( complement(complement(converse(sk1))) != converse(sk1)
| meet(one,complement(meet(one,complement(converse(sk1))))) != complement(complement(converse(sk1)))
| meet(one,complement(meet(one,complement(converse(sk1))))) = converse(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(sk1))))),complement(complement(converse(sk1)))) ),[1],$fot(converse(sk1))]]) ).
cnf(refute_0_5195,plain,
( meet(one,complement(meet(one,complement(converse(sk1))))) != complement(complement(converse(sk1)))
| meet(one,complement(meet(one,complement(converse(sk1))))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(sk1))),converse(sk1)) )],[refute_0_3426,refute_0_5194]) ).
cnf(refute_0_5196,plain,
meet(one,complement(meet(one,complement(converse(sk1))))) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(sk1))))),complement(complement(converse(sk1)))) )],[refute_0_5193,refute_0_5195]) ).
cnf(refute_0_5197,plain,
meet(complement(meet(one,complement(converse(sk1)))),one) = meet(one,complement(meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_5198,plain,
( meet(complement(meet(one,complement(converse(sk1)))),one) != meet(one,complement(meet(one,complement(converse(sk1)))))
| meet(one,complement(meet(one,complement(converse(sk1))))) != converse(sk1)
| meet(complement(meet(one,complement(converse(sk1)))),one) = converse(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(meet(one,complement(converse(sk1)))),one))),bind(Y,$fot(meet(one,complement(meet(one,complement(converse(sk1))))))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_5199,plain,
( meet(one,complement(meet(one,complement(converse(sk1))))) != converse(sk1)
| meet(complement(meet(one,complement(converse(sk1)))),one) = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(converse(sk1)))),one),meet(one,complement(meet(one,complement(converse(sk1)))))) )],[refute_0_5197,refute_0_5198]) ).
cnf(refute_0_5200,plain,
meet(complement(meet(one,complement(converse(sk1)))),one) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(sk1))))),converse(sk1)) )],[refute_0_5196,refute_0_5199]) ).
cnf(refute_0_5201,plain,
join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)) = join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)))]]) ).
cnf(refute_0_5202,plain,
( join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)) != join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one))
| meet(complement(meet(one,complement(converse(sk1)))),one) != converse(sk1)
| join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)) = join(complement(one),converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)),join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one))) ),[1,1],$fot(converse(sk1))]]) ).
cnf(refute_0_5203,plain,
( meet(complement(meet(one,complement(converse(sk1)))),one) != converse(sk1)
| join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)) = join(complement(one),converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)),join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one))) )],[refute_0_5201,refute_0_5202]) ).
cnf(refute_0_5204,plain,
join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)) = join(complement(one),converse(sk1)),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(converse(sk1)))),one),converse(sk1)) )],[refute_0_5200,refute_0_5203]) ).
cnf(refute_0_5205,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)) != join(complement(one),converse(sk1))
| join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)) = converse(join(sk1,complement(one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)))),bind(Y,$fot(join(complement(one),converse(sk1)))),bind(Z,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_5206,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)),join(complement(one),converse(sk1))) )],[refute_0_5204,refute_0_5205]) ).
cnf(refute_0_5207,plain,
join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),converse(join(sk1,complement(one)))) )],[refute_0_5141,refute_0_5206]) ).
cnf(refute_0_5208,plain,
join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one)) = join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(meet(complement(meet(one,complement(converse(sk1)))),one))),bind(B,$fot(complement(one)))]]) ).
cnf(refute_0_5209,plain,
( join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)) != converse(join(sk1,complement(one)))
| join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one)) != join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one))
| join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one)) = converse(join(sk1,complement(one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)))),bind(Z,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_5210,plain,
( join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)) != converse(join(sk1,complement(one)))
| join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one)) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one)),join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one))) )],[refute_0_5208,refute_0_5209]) ).
cnf(refute_0_5211,plain,
join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one)) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(converse(sk1)))),one)),converse(join(sk1,complement(one)))) )],[refute_0_5207,refute_0_5210]) ).
cnf(refute_0_5212,plain,
( complement(meet(one,complement(converse(sk1)))) != join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one))
| join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one)) != converse(join(sk1,complement(one)))
| complement(meet(one,complement(converse(sk1)))) = converse(join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(converse(sk1)))),converse(join(sk1,complement(one)))) ),[0],$fot(join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one)))]]) ).
cnf(refute_0_5213,plain,
( complement(meet(one,complement(converse(sk1)))) != join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one))
| complement(meet(one,complement(converse(sk1)))) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one)),converse(join(sk1,complement(one)))) )],[refute_0_5211,refute_0_5212]) ).
cnf(refute_0_5214,plain,
complement(meet(one,complement(converse(sk1)))) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(sk1)))),join(meet(complement(meet(one,complement(converse(sk1)))),one),complement(one))) )],[refute_0_5136,refute_0_5213]) ).
cnf(refute_0_5215,plain,
( complement(meet(one,complement(converse(sk1)))) != converse(join(sk1,complement(one)))
| meet(meet(one,complement(converse(sk1))),complement(X_299)) != complement(join(complement(meet(one,complement(converse(sk1)))),X_299))
| meet(meet(one,complement(converse(sk1))),complement(X_299)) = complement(join(converse(join(sk1,complement(one))),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(converse(sk1))),complement(X_299)),complement(join(complement(meet(one,complement(converse(sk1)))),X_299))) ),[1,0,0],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_5216,plain,
( meet(meet(one,complement(converse(sk1))),complement(X_299)) != complement(join(complement(meet(one,complement(converse(sk1)))),X_299))
| meet(meet(one,complement(converse(sk1))),complement(X_299)) = complement(join(converse(join(sk1,complement(one))),X_299)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(sk1)))),converse(join(sk1,complement(one)))) )],[refute_0_5214,refute_0_5215]) ).
cnf(refute_0_5217,plain,
meet(meet(one,complement(converse(sk1))),complement(X_299)) = complement(join(converse(join(sk1,complement(one))),X_299)),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(sk1))),complement(X_299)),complement(join(complement(meet(one,complement(converse(sk1)))),X_299))) )],[refute_0_5012,refute_0_5216]) ).
cnf(refute_0_5218,plain,
meet(meet(one,complement(converse(sk1))),complement(X_299)) = meet(meet(one,complement(converse(sk1))),complement(X_299)),
introduced(tautology,[refl,[$fot(meet(meet(one,complement(converse(sk1))),complement(X_299)))]]) ).
cnf(refute_0_5219,plain,
( meet(meet(one,complement(converse(sk1))),complement(X_299)) != meet(meet(one,complement(converse(sk1))),complement(X_299))
| meet(one,complement(converse(sk1))) != converse(meet(one,complement(sk1)))
| meet(meet(one,complement(converse(sk1))),complement(X_299)) = meet(converse(meet(one,complement(sk1))),complement(X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(converse(sk1))),complement(X_299)),meet(meet(one,complement(converse(sk1))),complement(X_299))) ),[1,0],$fot(converse(meet(one,complement(sk1))))]]) ).
cnf(refute_0_5220,plain,
( meet(one,complement(converse(sk1))) != converse(meet(one,complement(sk1)))
| meet(meet(one,complement(converse(sk1))),complement(X_299)) = meet(converse(meet(one,complement(sk1))),complement(X_299)) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(sk1))),complement(X_299)),meet(meet(one,complement(converse(sk1))),complement(X_299))) )],[refute_0_5218,refute_0_5219]) ).
cnf(refute_0_5221,plain,
meet(meet(one,complement(converse(sk1))),complement(X_299)) = meet(converse(meet(one,complement(sk1))),complement(X_299)),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(sk1))),converse(meet(one,complement(sk1)))) )],[refute_0_4995,refute_0_5220]) ).
cnf(refute_0_5222,plain,
( meet(meet(one,complement(converse(sk1))),complement(X_299)) != complement(join(converse(join(sk1,complement(one))),X_299))
| meet(meet(one,complement(converse(sk1))),complement(X_299)) != meet(converse(meet(one,complement(sk1))),complement(X_299))
| meet(converse(meet(one,complement(sk1))),complement(X_299)) = complement(join(converse(join(sk1,complement(one))),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(converse(sk1))),complement(X_299)),complement(join(converse(join(sk1,complement(one))),X_299))) ),[0],$fot(meet(converse(meet(one,complement(sk1))),complement(X_299)))]]) ).
cnf(refute_0_5223,plain,
( meet(meet(one,complement(converse(sk1))),complement(X_299)) != complement(join(converse(join(sk1,complement(one))),X_299))
| meet(converse(meet(one,complement(sk1))),complement(X_299)) = complement(join(converse(join(sk1,complement(one))),X_299)) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(sk1))),complement(X_299)),meet(converse(meet(one,complement(sk1))),complement(X_299))) )],[refute_0_5221,refute_0_5222]) ).
cnf(refute_0_5224,plain,
meet(converse(meet(one,complement(sk1))),complement(X_299)) = complement(join(converse(join(sk1,complement(one))),X_299)),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(sk1))),complement(X_299)),complement(join(converse(join(sk1,complement(one))),X_299))) )],[refute_0_5217,refute_0_5223]) ).
cnf(refute_0_5225,plain,
meet(converse(meet(one,complement(sk1))),complement(meet(sk1,complement(converse(sk1))))) = complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1))))),
inference(subst,[],[refute_0_5224:[bind(X_299,$fot(meet(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_5226,plain,
meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))) = meet(converse(meet(one,complement(sk1))),complement(meet(sk1,complement(converse(sk1))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(meet(one,complement(sk1))))),bind(X_7,$fot(complement(meet(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_5227,plain,
( meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))) != meet(converse(meet(one,complement(sk1))),complement(meet(sk1,complement(converse(sk1)))))
| meet(converse(meet(one,complement(sk1))),complement(meet(sk1,complement(converse(sk1))))) != complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))
| meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))) = complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))))),bind(Y,$fot(meet(converse(meet(one,complement(sk1))),complement(meet(sk1,complement(converse(sk1))))))),bind(Z,$fot(complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))))]]) ).
cnf(refute_0_5228,plain,
( meet(converse(meet(one,complement(sk1))),complement(meet(sk1,complement(converse(sk1))))) != complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))
| meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))) = complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))),meet(converse(meet(one,complement(sk1))),complement(meet(sk1,complement(converse(sk1)))))) )],[refute_0_5226,refute_0_5227]) ).
cnf(refute_0_5229,plain,
meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))) = complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(sk1))),complement(meet(sk1,complement(converse(sk1))))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))) )],[refute_0_5225,refute_0_5228]) ).
cnf(refute_0_5230,plain,
join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))) = join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_5231,plain,
( join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))) != join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))))
| meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))) != complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))
| join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))) = join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))),join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))))) ),[1,1],$fot(complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_5232,plain,
( meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))) != complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))
| join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))) = join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))),join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))))) )],[refute_0_5230,refute_0_5231]) ).
cnf(refute_0_5233,plain,
join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))) = join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))) )],[refute_0_5229,refute_0_5232]) ).
cnf(refute_0_5234,plain,
( converse(meet(one,complement(sk1))) != join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))))
| join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))) != join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1))))))
| converse(meet(one,complement(sk1))) = join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(sk1))),join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1))))))) ),[0],$fot(join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_5235,plain,
( converse(meet(one,complement(sk1))) != join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))))
| converse(meet(one,complement(sk1))) = join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1))))),join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1))))))) )],[refute_0_5233,refute_0_5234]) ).
cnf(refute_0_5236,plain,
converse(meet(one,complement(sk1))) = join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(sk1))),join(meet(sk1,complement(converse(sk1))),meet(complement(meet(sk1,complement(converse(sk1)))),converse(meet(one,complement(sk1)))))) )],[refute_0_5011,refute_0_5235]) ).
cnf(refute_0_5237,plain,
( converse(meet(one,complement(sk1))) != join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1))))))
| join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))) = converse(meet(one,complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(meet(one,complement(sk1))))),bind(Y,$fot(join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1))))))))]]) ).
cnf(refute_0_5238,plain,
join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))) = converse(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(sk1))),join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1))))))) )],[refute_0_5236,refute_0_5237]) ).
cnf(refute_0_5239,plain,
( join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))))) != top
| join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))) != converse(meet(one,complement(sk1)))
| join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))))),top) ),[0,1,0],$fot(converse(meet(one,complement(sk1))))]]) ).
cnf(refute_0_5240,plain,
( join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))))) != top
| join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))) = top ),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))),converse(meet(one,complement(sk1)))) )],[refute_0_5238,refute_0_5239]) ).
cnf(refute_0_5241,plain,
join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(join(meet(sk1,complement(converse(sk1))),complement(join(converse(join(sk1,complement(one))),meet(sk1,complement(converse(sk1)))))))),top) )],[refute_0_4852,refute_0_5240]) ).
cnf(refute_0_5242,plain,
converse(converse(meet(one,complement(sk1)))) = meet(one,complement(sk1)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_5243,plain,
join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))) = join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))),
introduced(tautology,[refl,[$fot(join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))))]]) ).
cnf(refute_0_5244,plain,
( converse(converse(meet(one,complement(sk1)))) != meet(one,complement(sk1))
| join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))) != join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1))))))
| join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))) = join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))),join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1))))))) ),[1,0],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_5245,plain,
( converse(converse(meet(one,complement(sk1)))) != meet(one,complement(sk1))
| join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))) = join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))),join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1))))))) )],[refute_0_5243,refute_0_5244]) ).
cnf(refute_0_5246,plain,
join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))) = join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(converse(converse(meet(one,complement(sk1)))),meet(one,complement(sk1))) )],[refute_0_5242,refute_0_5245]) ).
cnf(refute_0_5247,plain,
join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))) = join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(converse(meet(sk1,complement(converse(sk1))))))),bind(B,$fot(converse(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_5248,plain,
( join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))) != join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1))))))
| join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))) != join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1))))))
| join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))) = join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))))),bind(Y,$fot(join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))))),bind(Z,$fot(join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1))))))))]]) ).
cnf(refute_0_5249,plain,
( join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))) != join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1))))))
| join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))) = join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))),join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1))))))) )],[refute_0_5247,refute_0_5248]) ).
cnf(refute_0_5250,plain,
join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))) = join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(converse(converse(meet(one,complement(sk1)))),complement(converse(meet(sk1,complement(converse(sk1)))))),join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1))))))) )],[refute_0_5246,refute_0_5249]) ).
cnf(refute_0_5251,plain,
( join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))) != join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1))))))
| join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))) != top
| join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))),top) ),[0],$fot(join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))))]]) ).
cnf(refute_0_5252,plain,
( join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))) != top
| join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))),join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1))))))) )],[refute_0_5250,refute_0_5251]) ).
cnf(refute_0_5253,plain,
join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(meet(sk1,complement(converse(sk1))))),converse(converse(meet(one,complement(sk1))))),top) )],[refute_0_5241,refute_0_5252]) ).
cnf(refute_0_5254,plain,
( complement(meet(one,complement(sk1))) != meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))))))
| join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))) != top
| complement(meet(one,complement(sk1))) = meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(sk1))),meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_5255,plain,
( complement(meet(one,complement(sk1))) != meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))))))
| complement(meet(one,complement(sk1))) = meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))),top) )],[refute_0_5253,refute_0_5254]) ).
cnf(refute_0_5256,plain,
complement(meet(one,complement(sk1))) = meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(join(meet(one,complement(sk1)),complement(converse(meet(sk1,complement(converse(sk1)))))))))) )],[refute_0_4808,refute_0_5255]) ).
cnf(refute_0_5257,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| complement(meet(one,complement(sk1))) != meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))
| join(sk1,complement(one)) = meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(sk1))),meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))) ),[0],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_5258,plain,
( complement(meet(one,complement(sk1))) != meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))
| join(sk1,complement(one)) = meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(sk1,complement(one))) )],[refute_0_2322,refute_0_5257]) ).
cnf(refute_0_5259,plain,
meet(join(sk1,complement(X_279)),complement(X_299)) = complement(join(complement(join(sk1,complement(X_279))),X_299)),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(join(sk1,complement(X_279)))),bind(X_281,$fot(X_299))]]) ).
cnf(refute_0_5260,plain,
( meet(X_279,complement(sk1)) != complement(join(sk1,complement(X_279)))
| complement(join(sk1,complement(X_279))) = meet(X_279,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_279,complement(sk1)))),bind(Y,$fot(complement(join(sk1,complement(X_279)))))]]) ).
cnf(refute_0_5261,plain,
complement(join(sk1,complement(X_279))) = meet(X_279,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(X_279,complement(sk1)),complement(join(sk1,complement(X_279)))) )],[refute_0_4520,refute_0_5260]) ).
cnf(refute_0_5262,plain,
( complement(join(sk1,complement(X_279))) != meet(X_279,complement(sk1))
| meet(join(sk1,complement(X_279)),complement(X_299)) != complement(join(complement(join(sk1,complement(X_279))),X_299))
| meet(join(sk1,complement(X_279)),complement(X_299)) = complement(join(meet(X_279,complement(sk1)),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(X_279)),complement(X_299)),complement(join(complement(join(sk1,complement(X_279))),X_299))) ),[1,0,0],$fot(meet(X_279,complement(sk1)))]]) ).
cnf(refute_0_5263,plain,
( meet(join(sk1,complement(X_279)),complement(X_299)) != complement(join(complement(join(sk1,complement(X_279))),X_299))
| meet(join(sk1,complement(X_279)),complement(X_299)) = complement(join(meet(X_279,complement(sk1)),X_299)) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(X_279))),meet(X_279,complement(sk1))) )],[refute_0_5261,refute_0_5262]) ).
cnf(refute_0_5264,plain,
meet(join(sk1,complement(X_279)),complement(X_299)) = complement(join(meet(X_279,complement(sk1)),X_299)),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(X_279)),complement(X_299)),complement(join(complement(join(sk1,complement(X_279))),X_299))) )],[refute_0_5259,refute_0_5263]) ).
cnf(refute_0_5265,plain,
meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1)))))) = complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))),
inference(subst,[],[refute_0_5264:[bind(X_279,$fot(one)),bind(X_299,$fot(converse(meet(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_5266,plain,
meet(top,converse(meet(sk1,complement(converse(sk1))))) = converse(meet(sk1,complement(converse(sk1)))),
inference(subst,[],[refute_0_3072:[bind(X_105,$fot(converse(meet(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_5267,plain,
complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))) = complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))),
introduced(tautology,[refl,[$fot(complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))))]]) ).
cnf(refute_0_5268,plain,
( complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))) != complement(meet(top,converse(meet(sk1,complement(converse(sk1))))))
| meet(top,converse(meet(sk1,complement(converse(sk1))))) != converse(meet(sk1,complement(converse(sk1))))
| complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))) = complement(converse(meet(sk1,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))),complement(meet(top,converse(meet(sk1,complement(converse(sk1))))))) ),[1,0],$fot(converse(meet(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_5269,plain,
( meet(top,converse(meet(sk1,complement(converse(sk1))))) != converse(meet(sk1,complement(converse(sk1))))
| complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))) = complement(converse(meet(sk1,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))),complement(meet(top,converse(meet(sk1,complement(converse(sk1))))))) )],[refute_0_5267,refute_0_5268]) ).
cnf(refute_0_5270,plain,
complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))) = complement(converse(meet(sk1,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(top,converse(meet(sk1,complement(converse(sk1))))),converse(meet(sk1,complement(converse(sk1))))) )],[refute_0_5266,refute_0_5269]) ).
cnf(refute_0_5271,plain,
join(complement(top),complement(converse(meet(sk1,complement(converse(sk1)))))) = complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(top)),bind(B,$fot(converse(meet(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_5272,plain,
join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)) = join(complement(top),complement(converse(meet(sk1,complement(converse(sk1)))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(converse(meet(sk1,complement(converse(sk1))))))),bind(B,$fot(complement(top)))]]) ).
cnf(refute_0_5273,plain,
( join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)) != join(complement(top),complement(converse(meet(sk1,complement(converse(sk1))))))
| join(complement(top),complement(converse(meet(sk1,complement(converse(sk1)))))) != complement(meet(top,converse(meet(sk1,complement(converse(sk1))))))
| join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)) = complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))),bind(Y,$fot(join(complement(top),complement(converse(meet(sk1,complement(converse(sk1)))))))),bind(Z,$fot(complement(meet(top,converse(meet(sk1,complement(converse(sk1))))))))]]) ).
cnf(refute_0_5274,plain,
( join(complement(top),complement(converse(meet(sk1,complement(converse(sk1)))))) != complement(meet(top,converse(meet(sk1,complement(converse(sk1))))))
| join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)) = complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)),join(complement(top),complement(converse(meet(sk1,complement(converse(sk1))))))) )],[refute_0_5272,refute_0_5273]) ).
cnf(refute_0_5275,plain,
join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)) = complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(meet(sk1,complement(converse(sk1)))))),complement(meet(top,converse(meet(sk1,complement(converse(sk1))))))) )],[refute_0_5271,refute_0_5274]) ).
cnf(refute_0_5276,plain,
( complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))) != complement(converse(meet(sk1,complement(converse(sk1)))))
| join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)) != complement(meet(top,converse(meet(sk1,complement(converse(sk1))))))
| join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)) = complement(converse(meet(sk1,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))),bind(Y,$fot(complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))))),bind(Z,$fot(complement(converse(meet(sk1,complement(converse(sk1)))))))]]) ).
cnf(refute_0_5277,plain,
( complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))) != complement(converse(meet(sk1,complement(converse(sk1)))))
| join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)) = complement(converse(meet(sk1,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)),complement(meet(top,converse(meet(sk1,complement(converse(sk1))))))) )],[refute_0_5275,refute_0_5276]) ).
cnf(refute_0_5278,plain,
join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)) = complement(converse(meet(sk1,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(meet(top,converse(meet(sk1,complement(converse(sk1)))))),complement(converse(meet(sk1,complement(converse(sk1)))))) )],[refute_0_5270,refute_0_5277]) ).
cnf(refute_0_5279,plain,
meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))))]]) ).
cnf(refute_0_5280,plain,
( join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)) != complement(converse(meet(sk1,complement(converse(sk1)))))
| meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) != meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))
| meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))),meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))) ),[1,1],$fot(complement(converse(meet(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_5281,plain,
( join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)) != complement(converse(meet(sk1,complement(converse(sk1)))))
| meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))),meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))) )],[refute_0_5279,refute_0_5280]) ).
cnf(refute_0_5282,plain,
meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)),complement(converse(meet(sk1,complement(converse(sk1)))))) )],[refute_0_5278,refute_0_5281]) ).
cnf(refute_0_5283,plain,
meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))))]]) ).
cnf(refute_0_5284,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) != meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))
| meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))),meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))) ),[1,0],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_5285,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))),meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))) )],[refute_0_5283,refute_0_5284]) ).
cnf(refute_0_5286,plain,
meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(sk1,complement(one))) )],[refute_0_2322,refute_0_5285]) ).
cnf(refute_0_5287,plain,
( meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) != meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))
| meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) != meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1))))))
| meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))))),bind(Y,$fot(meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))))),bind(Z,$fot(meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1))))))))]]) ).
cnf(refute_0_5288,plain,
( meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) != meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1))))))
| meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))),meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))) )],[refute_0_5286,refute_0_5287]) ).
cnf(refute_0_5289,plain,
meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))),meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1))))))) )],[refute_0_5282,refute_0_5288]) ).
cnf(refute_0_5290,plain,
( meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) != meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1))))))
| meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1)))))) != complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))))
| meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))))),bind(Y,$fot(meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1)))))))),bind(Z,$fot(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))))))]]) ).
cnf(refute_0_5291,plain,
( meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1)))))) != complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))))
| meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))),meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1))))))) )],[refute_0_5289,refute_0_5290]) ).
cnf(refute_0_5292,plain,
meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) = complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),complement(converse(meet(sk1,complement(converse(sk1)))))),complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))))) )],[refute_0_5265,refute_0_5291]) ).
cnf(refute_0_5293,plain,
( join(sk1,complement(one)) != meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))
| meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))) != complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))))
| join(sk1,complement(one)) = complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,complement(one)),complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))))) ),[0],$fot(meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))))]]) ).
cnf(refute_0_5294,plain,
( join(sk1,complement(one)) != meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))
| join(sk1,complement(one)) = complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top))),complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))))) )],[refute_0_5292,refute_0_5293]) ).
cnf(refute_0_5295,plain,
( complement(meet(one,complement(sk1))) != meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))
| join(sk1,complement(one)) = complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(one)),meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))) )],[refute_0_5258,refute_0_5294]) ).
cnf(refute_0_5296,plain,
join(sk1,complement(one)) = complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),meet(complement(meet(one,complement(sk1))),join(complement(converse(meet(sk1,complement(converse(sk1))))),complement(top)))) )],[refute_0_5256,refute_0_5295]) ).
cnf(refute_0_5297,plain,
( join(sk1,complement(one)) != complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))))
| complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))) = join(sk1,complement(one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,complement(one)))),bind(Y,$fot(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))))))]]) ).
cnf(refute_0_5298,plain,
complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))) = join(sk1,complement(one)),
inference(resolve,[$cnf( $equal(join(sk1,complement(one)),complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))))) )],[refute_0_5296,refute_0_5297]) ).
cnf(refute_0_5299,plain,
( complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))) != join(sk1,complement(one))
| meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) != complement(join(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))),X_281))
| meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = complement(join(join(sk1,complement(one)),X_281)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)),complement(join(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))),X_281))) ),[1,0,0],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_5300,plain,
( meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) != complement(join(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))),X_281))
| meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = complement(join(join(sk1,complement(one)),X_281)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))),join(sk1,complement(one))) )],[refute_0_5298,refute_0_5299]) ).
cnf(refute_0_5301,plain,
meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = complement(join(join(sk1,complement(one)),X_281)),
inference(resolve,[$cnf( $equal(meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)),complement(join(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))),X_281))) )],[refute_0_4807,refute_0_5300]) ).
cnf(refute_0_5302,plain,
complement(join(sk1,join(complement(one),X_281))) = meet(one,complement(join(X_281,sk1))),
inference(subst,[],[refute_0_4948:[bind(A,$fot(sk1)),bind(X_298,$fot(one)),bind(X_32,$fot(X_281))]]) ).
cnf(refute_0_5303,plain,
join(join(sk1,complement(one)),X_281) = join(sk1,join(complement(one),X_281)),
inference(subst,[],[refute_0_169:[bind(A,$fot(sk1)),bind(B,$fot(complement(one))),bind(C,$fot(X_281))]]) ).
cnf(refute_0_5304,plain,
complement(join(join(sk1,complement(one)),X_281)) = complement(join(join(sk1,complement(one)),X_281)),
introduced(tautology,[refl,[$fot(complement(join(join(sk1,complement(one)),X_281)))]]) ).
cnf(refute_0_5305,plain,
( complement(join(join(sk1,complement(one)),X_281)) != complement(join(join(sk1,complement(one)),X_281))
| join(join(sk1,complement(one)),X_281) != join(sk1,join(complement(one),X_281))
| complement(join(join(sk1,complement(one)),X_281)) = complement(join(sk1,join(complement(one),X_281))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(sk1,complement(one)),X_281)),complement(join(join(sk1,complement(one)),X_281))) ),[1,0],$fot(join(sk1,join(complement(one),X_281)))]]) ).
cnf(refute_0_5306,plain,
( join(join(sk1,complement(one)),X_281) != join(sk1,join(complement(one),X_281))
| complement(join(join(sk1,complement(one)),X_281)) = complement(join(sk1,join(complement(one),X_281))) ),
inference(resolve,[$cnf( $equal(complement(join(join(sk1,complement(one)),X_281)),complement(join(join(sk1,complement(one)),X_281))) )],[refute_0_5304,refute_0_5305]) ).
cnf(refute_0_5307,plain,
complement(join(join(sk1,complement(one)),X_281)) = complement(join(sk1,join(complement(one),X_281))),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(one)),X_281),join(sk1,join(complement(one),X_281))) )],[refute_0_5303,refute_0_5306]) ).
cnf(refute_0_5308,plain,
( complement(join(join(sk1,complement(one)),X_281)) != complement(join(sk1,join(complement(one),X_281)))
| complement(join(sk1,join(complement(one),X_281))) != meet(one,complement(join(X_281,sk1)))
| complement(join(join(sk1,complement(one)),X_281)) = meet(one,complement(join(X_281,sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(join(sk1,complement(one)),X_281)))),bind(Y,$fot(complement(join(sk1,join(complement(one),X_281))))),bind(Z,$fot(meet(one,complement(join(X_281,sk1)))))]]) ).
cnf(refute_0_5309,plain,
( complement(join(sk1,join(complement(one),X_281))) != meet(one,complement(join(X_281,sk1)))
| complement(join(join(sk1,complement(one)),X_281)) = meet(one,complement(join(X_281,sk1))) ),
inference(resolve,[$cnf( $equal(complement(join(join(sk1,complement(one)),X_281)),complement(join(sk1,join(complement(one),X_281)))) )],[refute_0_5307,refute_0_5308]) ).
cnf(refute_0_5310,plain,
complement(join(join(sk1,complement(one)),X_281)) = meet(one,complement(join(X_281,sk1))),
inference(resolve,[$cnf( $equal(complement(join(sk1,join(complement(one),X_281))),meet(one,complement(join(X_281,sk1)))) )],[refute_0_5302,refute_0_5309]) ).
cnf(refute_0_5311,plain,
( complement(join(join(sk1,complement(one)),X_281)) != meet(one,complement(join(X_281,sk1)))
| meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) != complement(join(join(sk1,complement(one)),X_281))
| meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = meet(one,complement(join(X_281,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)),complement(join(join(sk1,complement(one)),X_281))) ),[1],$fot(meet(one,complement(join(X_281,sk1))))]]) ).
cnf(refute_0_5312,plain,
( meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) != complement(join(join(sk1,complement(one)),X_281))
| meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = meet(one,complement(join(X_281,sk1))) ),
inference(resolve,[$cnf( $equal(complement(join(join(sk1,complement(one)),X_281)),meet(one,complement(join(X_281,sk1)))) )],[refute_0_5310,refute_0_5311]) ).
cnf(refute_0_5313,plain,
meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = meet(one,complement(join(X_281,sk1))),
inference(resolve,[$cnf( $equal(meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)),complement(join(join(sk1,complement(one)),X_281))) )],[refute_0_5301,refute_0_5312]) ).
cnf(refute_0_5314,plain,
meet(meet(one,complement(sk1)),X_7) = meet(X_7,meet(one,complement(sk1))),
inference(subst,[],[refute_0_33:[bind(X_6,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_5315,plain,
meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) = complement(join(complement(X_279),meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))),
inference(subst,[],[refute_0_1527:[bind(A,$fot(X_279)),bind(X_6,$fot(join(sk1,complement(one)))),bind(X_7,$fot(converse(complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_5316,plain,
complement(meet(one,complement(sk1))) = meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1)))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(converse(complement(converse(complement(sk1)))))),bind(X_97,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_5317,plain,
( complement(meet(one,complement(sk1))) != meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))))))
| join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))) != one
| complement(meet(one,complement(sk1))) = meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(sk1))),meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_0_5318,plain,
( complement(meet(one,complement(sk1))) != meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))))))
| complement(meet(one,complement(sk1))) = meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))),one) )],[refute_0_2412,refute_0_5317]) ).
cnf(refute_0_5319,plain,
complement(meet(one,complement(sk1))) = meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(join(meet(one,complement(sk1)),converse(complement(converse(complement(sk1))))))))) )],[refute_0_5316,refute_0_5318]) ).
cnf(refute_0_5320,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| complement(meet(one,complement(sk1))) != meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one)))
| join(sk1,complement(one)) = meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(sk1))),meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one)))) ),[0],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_5321,plain,
( complement(meet(one,complement(sk1))) != meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one)))
| join(sk1,complement(one)) = meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(sk1,complement(one))) )],[refute_0_2322,refute_0_5320]) ).
cnf(refute_0_5322,plain,
converse(join(complement(one),complement(converse(complement(sk1))))) = converse(join(complement(one),complement(converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_5323,plain,
( converse(join(complement(one),complement(converse(complement(sk1))))) != converse(join(complement(one),complement(converse(complement(sk1)))))
| join(complement(one),complement(converse(complement(sk1)))) != complement(meet(one,converse(complement(sk1))))
| converse(join(complement(one),complement(converse(complement(sk1))))) = converse(complement(meet(one,converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(converse(complement(sk1))))),converse(join(complement(one),complement(converse(complement(sk1)))))) ),[1,0],$fot(complement(meet(one,converse(complement(sk1)))))]]) ).
cnf(refute_0_5324,plain,
( join(complement(one),complement(converse(complement(sk1)))) != complement(meet(one,converse(complement(sk1))))
| converse(join(complement(one),complement(converse(complement(sk1))))) = converse(complement(meet(one,converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(converse(complement(sk1))))),converse(join(complement(one),complement(converse(complement(sk1)))))) )],[refute_0_5322,refute_0_5323]) ).
cnf(refute_0_5325,plain,
converse(join(complement(one),complement(converse(complement(sk1))))) = converse(complement(meet(one,converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(complement(sk1)))),complement(meet(one,converse(complement(sk1))))) )],[refute_0_2657,refute_0_5324]) ).
cnf(refute_0_5326,plain,
join(complement(one),converse(complement(converse(complement(sk1))))) = converse(join(complement(one),complement(converse(complement(sk1))))),
inference(subst,[],[refute_0_1764:[bind(X_12,$fot(complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_5327,plain,
join(converse(complement(converse(complement(sk1)))),complement(one)) = join(complement(one),converse(complement(converse(complement(sk1))))),
inference(subst,[],[refute_0_2226:[bind(A,$fot(converse(complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_5328,plain,
( join(complement(one),converse(complement(converse(complement(sk1))))) != converse(join(complement(one),complement(converse(complement(sk1)))))
| join(converse(complement(converse(complement(sk1)))),complement(one)) != join(complement(one),converse(complement(converse(complement(sk1)))))
| join(converse(complement(converse(complement(sk1)))),complement(one)) = converse(join(complement(one),complement(converse(complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(converse(complement(sk1)))),complement(one)))),bind(Y,$fot(join(complement(one),converse(complement(converse(complement(sk1))))))),bind(Z,$fot(converse(join(complement(one),complement(converse(complement(sk1)))))))]]) ).
cnf(refute_0_5329,plain,
( join(complement(one),converse(complement(converse(complement(sk1))))) != converse(join(complement(one),complement(converse(complement(sk1)))))
| join(converse(complement(converse(complement(sk1)))),complement(one)) = converse(join(complement(one),complement(converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(sk1)))),complement(one)),join(complement(one),converse(complement(converse(complement(sk1)))))) )],[refute_0_5327,refute_0_5328]) ).
cnf(refute_0_5330,plain,
join(converse(complement(converse(complement(sk1)))),complement(one)) = converse(join(complement(one),complement(converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(converse(complement(sk1))))),converse(join(complement(one),complement(converse(complement(sk1)))))) )],[refute_0_5326,refute_0_5329]) ).
cnf(refute_0_5331,plain,
( converse(join(complement(one),complement(converse(complement(sk1))))) != converse(complement(meet(one,converse(complement(sk1)))))
| join(converse(complement(converse(complement(sk1)))),complement(one)) != converse(join(complement(one),complement(converse(complement(sk1)))))
| join(converse(complement(converse(complement(sk1)))),complement(one)) = converse(complement(meet(one,converse(complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(converse(complement(sk1)))),complement(one)))),bind(Y,$fot(converse(join(complement(one),complement(converse(complement(sk1))))))),bind(Z,$fot(converse(complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_5332,plain,
( converse(join(complement(one),complement(converse(complement(sk1))))) != converse(complement(meet(one,converse(complement(sk1)))))
| join(converse(complement(converse(complement(sk1)))),complement(one)) = converse(complement(meet(one,converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(sk1)))),complement(one)),converse(join(complement(one),complement(converse(complement(sk1)))))) )],[refute_0_5330,refute_0_5331]) ).
cnf(refute_0_5333,plain,
join(converse(complement(converse(complement(sk1)))),complement(one)) = converse(complement(meet(one,converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(converse(complement(sk1))))),converse(complement(meet(one,converse(complement(sk1)))))) )],[refute_0_5325,refute_0_5332]) ).
cnf(refute_0_5334,plain,
meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))) = meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))))]]) ).
cnf(refute_0_5335,plain,
( join(converse(complement(converse(complement(sk1)))),complement(one)) != converse(complement(meet(one,converse(complement(sk1)))))
| meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))) != meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one)))
| meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))) = meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))),meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one)))) ),[1,1],$fot(converse(complement(meet(one,converse(complement(sk1))))))]]) ).
cnf(refute_0_5336,plain,
( join(converse(complement(converse(complement(sk1)))),complement(one)) != converse(complement(meet(one,converse(complement(sk1)))))
| meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))) = meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))),meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one)))) )],[refute_0_5334,refute_0_5335]) ).
cnf(refute_0_5337,plain,
meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))) = meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(sk1)))),complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) )],[refute_0_5333,refute_0_5336]) ).
cnf(refute_0_5338,plain,
meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) = meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))))]]) ).
cnf(refute_0_5339,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) != meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one)))
| meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) = meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))),meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one)))) ),[1,0],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_5340,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) = meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))),meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one)))) )],[refute_0_5338,refute_0_5339]) ).
cnf(refute_0_5341,plain,
meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) = meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(sk1,complement(one))) )],[refute_0_2322,refute_0_5340]) ).
cnf(refute_0_5342,plain,
( meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) != meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one)))
| meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))) != meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1))))))
| meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) = meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))))),bind(Y,$fot(meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))))),bind(Z,$fot(meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1))))))))]]) ).
cnf(refute_0_5343,plain,
( meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))) != meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1))))))
| meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) = meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))),meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one)))) )],[refute_0_5341,refute_0_5342]) ).
cnf(refute_0_5344,plain,
meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) = meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(converse(complement(converse(complement(sk1)))),complement(one))),meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1))))))) )],[refute_0_5337,refute_0_5343]) ).
cnf(refute_0_5345,plain,
( join(sk1,complement(one)) != meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one)))
| meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))) != meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1))))))
| join(sk1,complement(one)) = meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,complement(one)),meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1))))))) ),[0],$fot(meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))))]]) ).
cnf(refute_0_5346,plain,
( join(sk1,complement(one)) != meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one)))
| join(sk1,complement(one)) = meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one))),meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1))))))) )],[refute_0_5344,refute_0_5345]) ).
cnf(refute_0_5347,plain,
( complement(meet(one,complement(sk1))) != meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one)))
| join(sk1,complement(one)) = meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(one)),meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one)))) )],[refute_0_5321,refute_0_5346]) ).
cnf(refute_0_5348,plain,
join(sk1,complement(one)) = meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),meet(complement(meet(one,complement(sk1))),join(converse(complement(converse(complement(sk1)))),complement(one)))) )],[refute_0_5319,refute_0_5347]) ).
cnf(refute_0_5349,plain,
meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) = meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_5350,plain,
( converse(complement(meet(one,converse(complement(sk1))))) != converse(complement(converse(meet(one,complement(sk1)))))
| meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) != meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1))))))
| meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) = meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))),meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1))))))) ),[1,1],$fot(converse(complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_5351,plain,
( converse(complement(meet(one,converse(complement(sk1))))) != converse(complement(converse(meet(one,complement(sk1)))))
| meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) = meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))),meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1))))))) )],[refute_0_5349,refute_0_5350]) ).
cnf(refute_0_5352,plain,
meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) = meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(complement(sk1))))),converse(complement(converse(meet(one,complement(sk1)))))) )],[refute_0_3602,refute_0_5351]) ).
cnf(refute_0_5353,plain,
( join(sk1,complement(one)) != meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1))))))
| meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))) != meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))
| join(sk1,complement(one)) = meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,complement(one)),meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) ),[0],$fot(meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))))]]) ).
cnf(refute_0_5354,plain,
( join(sk1,complement(one)) != meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1))))))
| join(sk1,complement(one)) = meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1)))))),meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) )],[refute_0_5352,refute_0_5353]) ).
cnf(refute_0_5355,plain,
join(sk1,complement(one)) = meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(one)),meet(join(sk1,complement(one)),converse(complement(meet(one,converse(complement(sk1))))))) )],[refute_0_5348,refute_0_5354]) ).
cnf(refute_0_5356,plain,
( join(sk1,complement(one)) != meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))
| meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))) = join(sk1,complement(one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,complement(one)))),bind(Y,$fot(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_5357,plain,
meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))) = join(sk1,complement(one)),
inference(resolve,[$cnf( $equal(join(sk1,complement(one)),meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) )],[refute_0_5355,refute_0_5356]) ).
cnf(refute_0_5358,plain,
( meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) != complement(join(complement(X_279),meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))))
| meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))) != join(sk1,complement(one))
| meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) = complement(join(complement(X_279),join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))),complement(join(complement(X_279),meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))))) ),[1,0,1],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_5359,plain,
( meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) != complement(join(complement(X_279),meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))))
| meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) = complement(join(complement(X_279),join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))),join(sk1,complement(one))) )],[refute_0_5357,refute_0_5358]) ).
cnf(refute_0_5360,plain,
meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) = complement(join(complement(X_279),join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))),complement(join(complement(X_279),meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))))) )],[refute_0_5315,refute_0_5359]) ).
cnf(refute_0_5361,plain,
complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) = complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))),
introduced(tautology,[refl,[$fot(complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_5362,plain,
( complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) != complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))
| meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))) != join(sk1,complement(one))
| complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) = complement(join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))),complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) ),[1,0],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_5363,plain,
( meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))) != join(sk1,complement(one))
| complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) = complement(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))),complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_5361,refute_0_5362]) ).
cnf(refute_0_5364,plain,
complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) = complement(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))),join(sk1,complement(one))) )],[refute_0_5357,refute_0_5363]) ).
cnf(refute_0_5365,plain,
( complement(join(sk1,complement(one))) != meet(one,complement(sk1))
| complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) != complement(join(sk1,complement(one)))
| complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))))),bind(Y,$fot(complement(join(sk1,complement(one))))),bind(Z,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_5366,plain,
( complement(join(sk1,complement(one))) != meet(one,complement(sk1))
| complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))),complement(join(sk1,complement(one)))) )],[refute_0_5364,refute_0_5365]) ).
cnf(refute_0_5367,plain,
complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(one))),meet(one,complement(sk1))) )],[refute_0_2405,refute_0_5366]) ).
cnf(refute_0_5368,plain,
meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) = meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))),
introduced(tautology,[refl,[$fot(meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_5369,plain,
( complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) != meet(one,complement(sk1))
| meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) != meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))))
| meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) = meet(X_279,meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))),meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))))) ),[1,1],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_5370,plain,
( complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))) != meet(one,complement(sk1))
| meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) = meet(X_279,meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))),meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))))) )],[refute_0_5368,refute_0_5369]) ).
cnf(refute_0_5371,plain,
meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) = meet(X_279,meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1))))))),meet(one,complement(sk1))) )],[refute_0_5367,refute_0_5370]) ).
cnf(refute_0_5372,plain,
( meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) != complement(join(complement(X_279),join(sk1,complement(one))))
| meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) != meet(X_279,meet(one,complement(sk1)))
| meet(X_279,meet(one,complement(sk1))) = complement(join(complement(X_279),join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))),complement(join(complement(X_279),join(sk1,complement(one))))) ),[0],$fot(meet(X_279,meet(one,complement(sk1))))]]) ).
cnf(refute_0_5373,plain,
( meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) != complement(join(complement(X_279),join(sk1,complement(one))))
| meet(X_279,meet(one,complement(sk1))) = complement(join(complement(X_279),join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))),meet(X_279,meet(one,complement(sk1)))) )],[refute_0_5371,refute_0_5372]) ).
cnf(refute_0_5374,plain,
join(complement(one),complement(X_279)) = complement(meet(one,X_279)),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(X_279))]]) ).
cnf(refute_0_5375,plain,
join(sk1,join(complement(one),complement(X_279))) = join(sk1,join(complement(one),complement(X_279))),
introduced(tautology,[refl,[$fot(join(sk1,join(complement(one),complement(X_279))))]]) ).
cnf(refute_0_5376,plain,
( join(complement(one),complement(X_279)) != complement(meet(one,X_279))
| join(sk1,join(complement(one),complement(X_279))) != join(sk1,join(complement(one),complement(X_279)))
| join(sk1,join(complement(one),complement(X_279))) = join(sk1,complement(meet(one,X_279))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(one),complement(X_279))),join(sk1,join(complement(one),complement(X_279)))) ),[1,1],$fot(complement(meet(one,X_279)))]]) ).
cnf(refute_0_5377,plain,
( join(complement(one),complement(X_279)) != complement(meet(one,X_279))
| join(sk1,join(complement(one),complement(X_279))) = join(sk1,complement(meet(one,X_279))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(one),complement(X_279))),join(sk1,join(complement(one),complement(X_279)))) )],[refute_0_5375,refute_0_5376]) ).
cnf(refute_0_5378,plain,
join(sk1,join(complement(one),complement(X_279))) = join(sk1,complement(meet(one,X_279))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(X_279)),complement(meet(one,X_279))) )],[refute_0_5374,refute_0_5377]) ).
cnf(refute_0_5379,plain,
join(A,join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))) = join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(complement(one))),bind(X_32,$fot(meet(sk1,complement(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_5380,plain,
( join(A,join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))) != join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))
| join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))) != complement(meet(one,complement(sk1)))
| join(A,complement(meet(one,complement(sk1)))) = join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))),join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))) ),[0,1],$fot(complement(meet(one,complement(sk1))))]]) ).
cnf(refute_0_5381,plain,
( join(A,join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))) != join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))
| join(A,complement(meet(one,complement(sk1)))) = join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(sk1,complement(meet(one,complement(sk1))))),complement(meet(one,complement(sk1)))) )],[refute_0_2296,refute_0_5380]) ).
cnf(refute_0_5382,plain,
join(A,complement(meet(one,complement(sk1)))) = join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)),
inference(resolve,[$cnf( $equal(join(A,join(complement(one),meet(sk1,complement(meet(one,complement(sk1)))))),join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))) )],[refute_0_5379,refute_0_5381]) ).
cnf(refute_0_5383,plain,
join(A,complement(meet(one,complement(sk1)))) = join(A,complement(meet(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(join(A,complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_5384,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| join(A,complement(meet(one,complement(sk1)))) != join(A,complement(meet(one,complement(sk1))))
| join(A,complement(meet(one,complement(sk1)))) = join(A,join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,complement(meet(one,complement(sk1)))),join(A,complement(meet(one,complement(sk1))))) ),[1,1],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_5385,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| join(A,complement(meet(one,complement(sk1)))) = join(A,join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(A,complement(meet(one,complement(sk1)))),join(A,complement(meet(one,complement(sk1))))) )],[refute_0_5383,refute_0_5384]) ).
cnf(refute_0_5386,plain,
join(A,complement(meet(one,complement(sk1)))) = join(A,join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(sk1,complement(one))) )],[refute_0_2322,refute_0_5385]) ).
cnf(refute_0_5387,plain,
( join(A,complement(meet(one,complement(sk1)))) != join(A,join(sk1,complement(one)))
| join(A,complement(meet(one,complement(sk1)))) != join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))
| join(A,join(sk1,complement(one))) = join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,complement(meet(one,complement(sk1)))),join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))) ),[0],$fot(join(A,join(sk1,complement(one))))]]) ).
cnf(refute_0_5388,plain,
( join(A,complement(meet(one,complement(sk1)))) != join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))
| join(A,join(sk1,complement(one))) = join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) ),
inference(resolve,[$cnf( $equal(join(A,complement(meet(one,complement(sk1)))),join(A,join(sk1,complement(one)))) )],[refute_0_5386,refute_0_5387]) ).
cnf(refute_0_5389,plain,
join(complement(one),join(sk1,A)) = join(sk1,join(complement(one),A)),
inference(subst,[],[refute_0_4153:[bind(X_155,$fot(sk1)),bind(X_156,$fot(complement(one))),bind(X_157,$fot(A))]]) ).
cnf(refute_0_5390,plain,
meet(sk1,complement(meet(one,complement(sk1)))) = meet(sk1,complement(meet(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(meet(sk1,complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_5391,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| meet(sk1,complement(meet(one,complement(sk1)))) != meet(sk1,complement(meet(one,complement(sk1))))
| meet(sk1,complement(meet(one,complement(sk1)))) = meet(sk1,join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(meet(one,complement(sk1)))),meet(sk1,complement(meet(one,complement(sk1))))) ),[1,1],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_5392,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| meet(sk1,complement(meet(one,complement(sk1)))) = meet(sk1,join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(meet(one,complement(sk1)))),meet(sk1,complement(meet(one,complement(sk1))))) )],[refute_0_5390,refute_0_5391]) ).
cnf(refute_0_5393,plain,
meet(sk1,complement(meet(one,complement(sk1)))) = meet(sk1,join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(sk1,complement(one))) )],[refute_0_2322,refute_0_5392]) ).
cnf(refute_0_5394,plain,
( meet(sk1,complement(meet(one,complement(sk1)))) != meet(sk1,join(sk1,complement(one)))
| meet(sk1,join(sk1,complement(one))) != sk1
| meet(sk1,complement(meet(one,complement(sk1)))) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(sk1,complement(meet(one,complement(sk1)))))),bind(Y,$fot(meet(sk1,join(sk1,complement(one))))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_5395,plain,
( meet(sk1,join(sk1,complement(one))) != sk1
| meet(sk1,complement(meet(one,complement(sk1)))) = sk1 ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(meet(one,complement(sk1)))),meet(sk1,join(sk1,complement(one)))) )],[refute_0_5393,refute_0_5394]) ).
cnf(refute_0_5396,plain,
meet(sk1,complement(meet(one,complement(sk1)))) = sk1,
inference(resolve,[$cnf( $equal(meet(sk1,join(sk1,complement(one))),sk1) )],[refute_0_2381,refute_0_5395]) ).
cnf(refute_0_5397,plain,
join(meet(sk1,complement(meet(one,complement(sk1)))),A) = join(meet(sk1,complement(meet(one,complement(sk1)))),A),
introduced(tautology,[refl,[$fot(join(meet(sk1,complement(meet(one,complement(sk1)))),A))]]) ).
cnf(refute_0_5398,plain,
( join(meet(sk1,complement(meet(one,complement(sk1)))),A) != join(meet(sk1,complement(meet(one,complement(sk1)))),A)
| meet(sk1,complement(meet(one,complement(sk1)))) != sk1
| join(meet(sk1,complement(meet(one,complement(sk1)))),A) = join(sk1,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk1,complement(meet(one,complement(sk1)))),A),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_5399,plain,
( meet(sk1,complement(meet(one,complement(sk1)))) != sk1
| join(meet(sk1,complement(meet(one,complement(sk1)))),A) = join(sk1,A) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(meet(one,complement(sk1)))),A),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) )],[refute_0_5397,refute_0_5398]) ).
cnf(refute_0_5400,plain,
join(meet(sk1,complement(meet(one,complement(sk1)))),A) = join(sk1,A),
inference(resolve,[$cnf( $equal(meet(sk1,complement(meet(one,complement(sk1)))),sk1) )],[refute_0_5396,refute_0_5399]) ).
cnf(refute_0_5401,plain,
join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) = join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)),
introduced(tautology,[refl,[$fot(join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)))]]) ).
cnf(refute_0_5402,plain,
( join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) != join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))
| join(meet(sk1,complement(meet(one,complement(sk1)))),A) != join(sk1,A)
| join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) = join(complement(one),join(sk1,A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)),join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))) ),[1,1],$fot(join(sk1,A))]]) ).
cnf(refute_0_5403,plain,
( join(meet(sk1,complement(meet(one,complement(sk1)))),A) != join(sk1,A)
| join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) = join(complement(one),join(sk1,A)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)),join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))) )],[refute_0_5401,refute_0_5402]) ).
cnf(refute_0_5404,plain,
join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) = join(complement(one),join(sk1,A)),
inference(resolve,[$cnf( $equal(join(meet(sk1,complement(meet(one,complement(sk1)))),A),join(sk1,A)) )],[refute_0_5400,refute_0_5403]) ).
cnf(refute_0_5405,plain,
( join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) != join(complement(one),join(sk1,A))
| join(complement(one),join(sk1,A)) != join(sk1,join(complement(one),A))
| join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) = join(sk1,join(complement(one),A)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)))),bind(Y,$fot(join(complement(one),join(sk1,A)))),bind(Z,$fot(join(sk1,join(complement(one),A))))]]) ).
cnf(refute_0_5406,plain,
( join(complement(one),join(sk1,A)) != join(sk1,join(complement(one),A))
| join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) = join(sk1,join(complement(one),A)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)),join(complement(one),join(sk1,A))) )],[refute_0_5404,refute_0_5405]) ).
cnf(refute_0_5407,plain,
join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) = join(sk1,join(complement(one),A)),
inference(resolve,[$cnf( $equal(join(complement(one),join(sk1,A)),join(sk1,join(complement(one),A))) )],[refute_0_5389,refute_0_5406]) ).
cnf(refute_0_5408,plain,
( join(A,join(sk1,complement(one))) != join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))
| join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)) != join(sk1,join(complement(one),A))
| join(A,join(sk1,complement(one))) = join(sk1,join(complement(one),A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(sk1,complement(one))),join(sk1,join(complement(one),A))) ),[0],$fot(join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)))]]) ).
cnf(refute_0_5409,plain,
( join(A,join(sk1,complement(one))) != join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))
| join(A,join(sk1,complement(one))) = join(sk1,join(complement(one),A)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A)),join(sk1,join(complement(one),A))) )],[refute_0_5407,refute_0_5408]) ).
cnf(refute_0_5410,plain,
( join(A,complement(meet(one,complement(sk1)))) != join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))
| join(A,join(sk1,complement(one))) = join(sk1,join(complement(one),A)) ),
inference(resolve,[$cnf( $equal(join(A,join(sk1,complement(one))),join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))) )],[refute_0_5388,refute_0_5409]) ).
cnf(refute_0_5411,plain,
join(A,join(sk1,complement(one))) = join(sk1,join(complement(one),A)),
inference(resolve,[$cnf( $equal(join(A,complement(meet(one,complement(sk1)))),join(complement(one),join(meet(sk1,complement(meet(one,complement(sk1)))),A))) )],[refute_0_5382,refute_0_5410]) ).
cnf(refute_0_5412,plain,
join(complement(X_279),join(sk1,complement(one))) = join(sk1,join(complement(one),complement(X_279))),
inference(subst,[],[refute_0_5411:[bind(A,$fot(complement(X_279)))]]) ).
cnf(refute_0_5413,plain,
( join(complement(X_279),join(sk1,complement(one))) != join(sk1,join(complement(one),complement(X_279)))
| join(sk1,join(complement(one),complement(X_279))) != join(sk1,complement(meet(one,X_279)))
| join(complement(X_279),join(sk1,complement(one))) = join(sk1,complement(meet(one,X_279))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(X_279),join(sk1,complement(one))))),bind(Y,$fot(join(sk1,join(complement(one),complement(X_279))))),bind(Z,$fot(join(sk1,complement(meet(one,X_279)))))]]) ).
cnf(refute_0_5414,plain,
( join(sk1,join(complement(one),complement(X_279))) != join(sk1,complement(meet(one,X_279)))
| join(complement(X_279),join(sk1,complement(one))) = join(sk1,complement(meet(one,X_279))) ),
inference(resolve,[$cnf( $equal(join(complement(X_279),join(sk1,complement(one))),join(sk1,join(complement(one),complement(X_279)))) )],[refute_0_5412,refute_0_5413]) ).
cnf(refute_0_5415,plain,
join(complement(X_279),join(sk1,complement(one))) = join(sk1,complement(meet(one,X_279))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(one),complement(X_279))),join(sk1,complement(meet(one,X_279)))) )],[refute_0_5378,refute_0_5414]) ).
cnf(refute_0_5416,plain,
complement(join(complement(X_279),join(sk1,complement(one)))) = complement(join(complement(X_279),join(sk1,complement(one)))),
introduced(tautology,[refl,[$fot(complement(join(complement(X_279),join(sk1,complement(one)))))]]) ).
cnf(refute_0_5417,plain,
( complement(join(complement(X_279),join(sk1,complement(one)))) != complement(join(complement(X_279),join(sk1,complement(one))))
| join(complement(X_279),join(sk1,complement(one))) != join(sk1,complement(meet(one,X_279)))
| complement(join(complement(X_279),join(sk1,complement(one)))) = complement(join(sk1,complement(meet(one,X_279)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_279),join(sk1,complement(one)))),complement(join(complement(X_279),join(sk1,complement(one))))) ),[1,0],$fot(join(sk1,complement(meet(one,X_279))))]]) ).
cnf(refute_0_5418,plain,
( join(complement(X_279),join(sk1,complement(one))) != join(sk1,complement(meet(one,X_279)))
| complement(join(complement(X_279),join(sk1,complement(one)))) = complement(join(sk1,complement(meet(one,X_279)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_279),join(sk1,complement(one)))),complement(join(complement(X_279),join(sk1,complement(one))))) )],[refute_0_5416,refute_0_5417]) ).
cnf(refute_0_5419,plain,
complement(join(complement(X_279),join(sk1,complement(one)))) = complement(join(sk1,complement(meet(one,X_279)))),
inference(resolve,[$cnf( $equal(join(complement(X_279),join(sk1,complement(one))),join(sk1,complement(meet(one,X_279)))) )],[refute_0_5415,refute_0_5418]) ).
cnf(refute_0_5420,plain,
( complement(join(complement(X_279),join(sk1,complement(one)))) != complement(join(sk1,complement(meet(one,X_279))))
| meet(X_279,meet(one,complement(sk1))) != complement(join(complement(X_279),join(sk1,complement(one))))
| meet(X_279,meet(one,complement(sk1))) = complement(join(sk1,complement(meet(one,X_279)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,meet(one,complement(sk1))),complement(join(complement(X_279),join(sk1,complement(one))))) ),[1],$fot(complement(join(sk1,complement(meet(one,X_279)))))]]) ).
cnf(refute_0_5421,plain,
( meet(X_279,meet(one,complement(sk1))) != complement(join(complement(X_279),join(sk1,complement(one))))
| meet(X_279,meet(one,complement(sk1))) = complement(join(sk1,complement(meet(one,X_279)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_279),join(sk1,complement(one)))),complement(join(sk1,complement(meet(one,X_279))))) )],[refute_0_5419,refute_0_5420]) ).
cnf(refute_0_5422,plain,
( meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))) != complement(join(complement(X_279),join(sk1,complement(one))))
| meet(X_279,meet(one,complement(sk1))) = complement(join(sk1,complement(meet(one,X_279)))) ),
inference(resolve,[$cnf( $equal(meet(X_279,meet(one,complement(sk1))),complement(join(complement(X_279),join(sk1,complement(one))))) )],[refute_0_5373,refute_0_5421]) ).
cnf(refute_0_5423,plain,
meet(X_279,meet(one,complement(sk1))) = complement(join(sk1,complement(meet(one,X_279)))),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(join(sk1,complement(one)),converse(complement(converse(meet(one,complement(sk1)))))))),complement(join(complement(X_279),join(sk1,complement(one))))) )],[refute_0_5360,refute_0_5422]) ).
cnf(refute_0_5424,plain,
meet(meet(one,X_279),complement(sk1)) = meet(complement(sk1),meet(one,X_279)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(sk1))),bind(X_7,$fot(meet(one,X_279)))]]) ).
cnf(refute_0_5425,plain,
complement(join(sk1,complement(meet(one,X_279)))) = meet(meet(one,X_279),complement(sk1)),
inference(subst,[],[refute_0_5261:[bind(X_279,$fot(meet(one,X_279)))]]) ).
cnf(refute_0_5426,plain,
( complement(join(sk1,complement(meet(one,X_279)))) != meet(meet(one,X_279),complement(sk1))
| meet(meet(one,X_279),complement(sk1)) != meet(complement(sk1),meet(one,X_279))
| complement(join(sk1,complement(meet(one,X_279)))) = meet(complement(sk1),meet(one,X_279)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(sk1,complement(meet(one,X_279)))))),bind(Y,$fot(meet(meet(one,X_279),complement(sk1)))),bind(Z,$fot(meet(complement(sk1),meet(one,X_279))))]]) ).
cnf(refute_0_5427,plain,
( meet(meet(one,X_279),complement(sk1)) != meet(complement(sk1),meet(one,X_279))
| complement(join(sk1,complement(meet(one,X_279)))) = meet(complement(sk1),meet(one,X_279)) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(meet(one,X_279)))),meet(meet(one,X_279),complement(sk1))) )],[refute_0_5425,refute_0_5426]) ).
cnf(refute_0_5428,plain,
complement(join(sk1,complement(meet(one,X_279)))) = meet(complement(sk1),meet(one,X_279)),
inference(resolve,[$cnf( $equal(meet(meet(one,X_279),complement(sk1)),meet(complement(sk1),meet(one,X_279))) )],[refute_0_5424,refute_0_5427]) ).
cnf(refute_0_5429,plain,
( complement(join(sk1,complement(meet(one,X_279)))) != meet(complement(sk1),meet(one,X_279))
| meet(X_279,meet(one,complement(sk1))) != complement(join(sk1,complement(meet(one,X_279))))
| meet(X_279,meet(one,complement(sk1))) = meet(complement(sk1),meet(one,X_279)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,meet(one,complement(sk1))),complement(join(sk1,complement(meet(one,X_279))))) ),[1],$fot(meet(complement(sk1),meet(one,X_279)))]]) ).
cnf(refute_0_5430,plain,
( meet(X_279,meet(one,complement(sk1))) != complement(join(sk1,complement(meet(one,X_279))))
| meet(X_279,meet(one,complement(sk1))) = meet(complement(sk1),meet(one,X_279)) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(meet(one,X_279)))),meet(complement(sk1),meet(one,X_279))) )],[refute_0_5428,refute_0_5429]) ).
cnf(refute_0_5431,plain,
meet(X_279,meet(one,complement(sk1))) = meet(complement(sk1),meet(one,X_279)),
inference(resolve,[$cnf( $equal(meet(X_279,meet(one,complement(sk1))),complement(join(sk1,complement(meet(one,X_279))))) )],[refute_0_5423,refute_0_5430]) ).
cnf(refute_0_5432,plain,
meet(X_7,meet(one,complement(sk1))) = meet(complement(sk1),meet(one,X_7)),
inference(subst,[],[refute_0_5431:[bind(X_279,$fot(X_7))]]) ).
cnf(refute_0_5433,plain,
( meet(X_7,meet(one,complement(sk1))) != meet(complement(sk1),meet(one,X_7))
| meet(meet(one,complement(sk1)),X_7) != meet(X_7,meet(one,complement(sk1)))
| meet(meet(one,complement(sk1)),X_7) = meet(complement(sk1),meet(one,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(sk1)),X_7),meet(X_7,meet(one,complement(sk1)))) ),[1],$fot(meet(complement(sk1),meet(one,X_7)))]]) ).
cnf(refute_0_5434,plain,
( meet(meet(one,complement(sk1)),X_7) != meet(X_7,meet(one,complement(sk1)))
| meet(meet(one,complement(sk1)),X_7) = meet(complement(sk1),meet(one,X_7)) ),
inference(resolve,[$cnf( $equal(meet(X_7,meet(one,complement(sk1))),meet(complement(sk1),meet(one,X_7))) )],[refute_0_5432,refute_0_5433]) ).
cnf(refute_0_5435,plain,
meet(meet(one,complement(sk1)),X_7) = meet(complement(sk1),meet(one,X_7)),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(sk1)),X_7),meet(X_7,meet(one,complement(sk1)))) )],[refute_0_5314,refute_0_5434]) ).
cnf(refute_0_5436,plain,
meet(meet(one,complement(sk1)),complement(X_281)) = meet(complement(sk1),meet(one,complement(X_281))),
inference(subst,[],[refute_0_5435:[bind(X_7,$fot(complement(X_281)))]]) ).
cnf(refute_0_5437,plain,
join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))) = complement(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))))]]) ).
cnf(refute_0_5438,plain,
( complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))) != join(sk1,complement(one))
| join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))) != complement(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))))
| join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))) = complement(join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))))) ),[1,0],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_5439,plain,
( join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))) != complement(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))))
| join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))) = complement(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))),join(sk1,complement(one))) )],[refute_0_5298,refute_0_5438]) ).
cnf(refute_0_5440,plain,
join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))) = complement(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(complement(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1)))))))) )],[refute_0_5437,refute_0_5439]) ).
cnf(refute_0_5441,plain,
( complement(join(sk1,complement(one))) != meet(one,complement(sk1))
| join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))) != complement(join(sk1,complement(one)))
| join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))) = meet(one,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(join(sk1,complement(one)))) ),[1],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_5442,plain,
( join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))) != complement(join(sk1,complement(one)))
| join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(one))),meet(one,complement(sk1))) )],[refute_0_2405,refute_0_5441]) ).
cnf(refute_0_5443,plain,
join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(join(sk1,complement(one)))) )],[refute_0_5440,refute_0_5442]) ).
cnf(refute_0_5444,plain,
meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)),
introduced(tautology,[refl,[$fot(meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)))]]) ).
cnf(refute_0_5445,plain,
( join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))) != meet(one,complement(sk1))
| meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) != meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281))
| meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = meet(meet(one,complement(sk1)),complement(X_281)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)),meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281))) ),[1,0],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_5446,plain,
( join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))) != meet(one,complement(sk1))
| meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = meet(meet(one,complement(sk1)),complement(X_281)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)),meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281))) )],[refute_0_5444,refute_0_5445]) ).
cnf(refute_0_5447,plain,
meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = meet(meet(one,complement(sk1)),complement(X_281)),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),meet(one,complement(sk1))) )],[refute_0_5443,refute_0_5446]) ).
cnf(refute_0_5448,plain,
( meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) != meet(meet(one,complement(sk1)),complement(X_281))
| meet(meet(one,complement(sk1)),complement(X_281)) != meet(complement(sk1),meet(one,complement(X_281)))
| meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = meet(complement(sk1),meet(one,complement(X_281))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)))),bind(Y,$fot(meet(meet(one,complement(sk1)),complement(X_281)))),bind(Z,$fot(meet(complement(sk1),meet(one,complement(X_281)))))]]) ).
cnf(refute_0_5449,plain,
( meet(meet(one,complement(sk1)),complement(X_281)) != meet(complement(sk1),meet(one,complement(X_281)))
| meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = meet(complement(sk1),meet(one,complement(X_281))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)),meet(meet(one,complement(sk1)),complement(X_281))) )],[refute_0_5447,refute_0_5448]) ).
cnf(refute_0_5450,plain,
meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) = meet(complement(sk1),meet(one,complement(X_281))),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(sk1)),complement(X_281)),meet(complement(sk1),meet(one,complement(X_281)))) )],[refute_0_5436,refute_0_5449]) ).
cnf(refute_0_5451,plain,
( meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) != meet(complement(sk1),meet(one,complement(X_281)))
| meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) != meet(one,complement(join(X_281,sk1)))
| meet(complement(sk1),meet(one,complement(X_281))) = meet(one,complement(join(X_281,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)),meet(one,complement(join(X_281,sk1)))) ),[0],$fot(meet(complement(sk1),meet(one,complement(X_281))))]]) ).
cnf(refute_0_5452,plain,
( meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)) != meet(one,complement(join(X_281,sk1)))
| meet(complement(sk1),meet(one,complement(X_281))) = meet(one,complement(join(X_281,sk1))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)),meet(complement(sk1),meet(one,complement(X_281)))) )],[refute_0_5450,refute_0_5451]) ).
cnf(refute_0_5453,plain,
meet(complement(sk1),meet(one,complement(X_281))) = meet(one,complement(join(X_281,sk1))),
inference(resolve,[$cnf( $equal(meet(join(meet(one,complement(sk1)),converse(meet(sk1,complement(converse(sk1))))),complement(X_281)),meet(one,complement(join(X_281,sk1)))) )],[refute_0_5313,refute_0_5452]) ).
cnf(refute_0_5454,plain,
meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1)))))) = meet(one,complement(join(composition(sk1,complement(converse(sk1))),sk1))),
inference(subst,[],[refute_0_5453:[bind(X_281,$fot(composition(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_5455,plain,
( meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1)))))) != meet(one,complement(join(composition(sk1,complement(converse(sk1))),sk1)))
| meet(one,complement(join(composition(sk1,complement(converse(sk1))),sk1))) != meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))
| meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1)))))) = meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1)))))))),bind(Y,$fot(meet(one,complement(join(composition(sk1,complement(converse(sk1))),sk1))))),bind(Z,$fot(meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))))]]) ).
cnf(refute_0_5456,plain,
( meet(one,complement(join(composition(sk1,complement(converse(sk1))),sk1))) != meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))
| meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1)))))) = meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1)))))),meet(one,complement(join(composition(sk1,complement(converse(sk1))),sk1)))) )],[refute_0_5454,refute_0_5455]) ).
cnf(refute_0_5457,plain,
meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1)))))) = meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(composition(sk1,complement(converse(sk1))),sk1))),meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))) )],[refute_0_4806,refute_0_5456]) ).
cnf(refute_0_5458,plain,
meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) = meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1)))))),
inference(subst,[],[refute_0_5435:[bind(X_7,$fot(complement(composition(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_5459,plain,
( meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1)))))) != meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))
| meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) != meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1))))))
| meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) = meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))))),bind(Y,$fot(meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1)))))))),bind(Z,$fot(meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))))]]) ).
cnf(refute_0_5460,plain,
( meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1)))))) != meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))
| meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) = meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))),meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1))))))) )],[refute_0_5458,refute_0_5459]) ).
cnf(refute_0_5461,plain,
meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) = meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(one,complement(composition(sk1,complement(converse(sk1)))))),meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))) )],[refute_0_5457,refute_0_5460]) ).
cnf(refute_0_5462,plain,
( meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))) != meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))
| meet(one,complement(sk1)) != meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1)))))
| meet(one,complement(sk1)) = meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(sk1)),meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1)))))) ),[1],$fot(meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))))]]) ).
cnf(refute_0_5463,plain,
( meet(one,complement(sk1)) != meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1)))))
| meet(one,complement(sk1)) = meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1))))),meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))) )],[refute_0_5461,refute_0_5462]) ).
cnf(refute_0_5464,plain,
meet(one,complement(sk1)) = meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),meet(meet(one,complement(sk1)),complement(composition(sk1,complement(converse(sk1)))))) )],[refute_0_4765,refute_0_5463]) ).
cnf(refute_0_5465,plain,
converse(composition(complement(sk1),converse(sk1))) = composition(converse(converse(sk1)),converse(complement(sk1))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(complement(sk1))),bind(B,$fot(converse(sk1)))]]) ).
cnf(refute_0_5466,plain,
composition(complement(sk1),converse(sk1)) = complement(complement(composition(complement(sk1),converse(sk1)))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(composition(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_5467,plain,
X_166 = join(meet(X_166,X_165),meet(complement(X_165),X_166)),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(X_165)),bind(X_117,$fot(X_166))]]) ).
cnf(refute_0_5468,plain,
meet(X_165,X_166) = meet(X_166,X_165),
inference(subst,[],[refute_0_33:[bind(X_6,$fot(X_165)),bind(X_7,$fot(X_166))]]) ).
cnf(refute_0_5469,plain,
( meet(X_165,X_166) != meet(X_166,X_165)
| meet(X_166,X_165) = meet(X_165,X_166) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_165,X_166))),bind(Y,$fot(meet(X_166,X_165)))]]) ).
cnf(refute_0_5470,plain,
meet(X_166,X_165) = meet(X_165,X_166),
inference(resolve,[$cnf( $equal(meet(X_165,X_166),meet(X_166,X_165)) )],[refute_0_5468,refute_0_5469]) ).
cnf(refute_0_5471,plain,
( X_166 != join(meet(X_166,X_165),meet(complement(X_165),X_166))
| meet(X_166,X_165) != meet(X_165,X_166)
| X_166 = join(meet(X_165,X_166),meet(complement(X_165),X_166)) ),
introduced(tautology,[equality,[$cnf( $equal(X_166,join(meet(X_166,X_165),meet(complement(X_165),X_166))) ),[1,0],$fot(meet(X_165,X_166))]]) ).
cnf(refute_0_5472,plain,
( X_166 != join(meet(X_166,X_165),meet(complement(X_165),X_166))
| X_166 = join(meet(X_165,X_166),meet(complement(X_165),X_166)) ),
inference(resolve,[$cnf( $equal(meet(X_166,X_165),meet(X_165,X_166)) )],[refute_0_5470,refute_0_5471]) ).
cnf(refute_0_5473,plain,
X_166 = join(meet(X_165,X_166),meet(complement(X_165),X_166)),
inference(resolve,[$cnf( $equal(X_166,join(meet(X_166,X_165),meet(complement(X_165),X_166))) )],[refute_0_5467,refute_0_5472]) ).
cnf(refute_0_5474,plain,
complement(converse(composition(sk1,complement(sk1)))) = join(meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))),
inference(subst,[],[refute_0_5473:[bind(X_165,$fot(converse(sk1))),bind(X_166,$fot(complement(converse(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_5475,plain,
converse(sk1) = meet(converse(sk1),converse(join(sk1,complement(composition(sk1,complement(sk1)))))),
inference(subst,[],[refute_0_4634:[bind(A,$fot(sk1)),bind(B,$fot(complement(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_5476,plain,
join(sk1,complement(composition(sk1,complement(sk1)))) = join(meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))),meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))),
inference(subst,[],[refute_0_5473:[bind(X_165,$fot(composition(sk1,complement(sk1)))),bind(X_166,$fot(join(sk1,complement(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_5477,plain,
zero = meet(join(sk1,complement(X_288)),complement(join(sk1,complement(X_288)))),
inference(subst,[],[def_zero_13:[bind(A,$fot(join(sk1,complement(X_288))))]]) ).
cnf(refute_0_5478,plain,
meet(X_288,complement(sk1)) = complement(join(sk1,complement(X_288))),
inference(subst,[],[refute_0_4520:[bind(X_279,$fot(X_288))]]) ).
cnf(refute_0_5479,plain,
( meet(X_288,complement(sk1)) != complement(join(sk1,complement(X_288)))
| complement(join(sk1,complement(X_288))) = meet(X_288,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_288,complement(sk1)))),bind(Y,$fot(complement(join(sk1,complement(X_288)))))]]) ).
cnf(refute_0_5480,plain,
complement(join(sk1,complement(X_288))) = meet(X_288,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(X_288,complement(sk1)),complement(join(sk1,complement(X_288)))) )],[refute_0_5478,refute_0_5479]) ).
cnf(refute_0_5481,plain,
( complement(join(sk1,complement(X_288))) != meet(X_288,complement(sk1))
| zero != meet(join(sk1,complement(X_288)),complement(join(sk1,complement(X_288))))
| zero = meet(join(sk1,complement(X_288)),meet(X_288,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(sk1,complement(X_288)),complement(join(sk1,complement(X_288))))) ),[1,1],$fot(meet(X_288,complement(sk1)))]]) ).
cnf(refute_0_5482,plain,
( zero != meet(join(sk1,complement(X_288)),complement(join(sk1,complement(X_288))))
| zero = meet(join(sk1,complement(X_288)),meet(X_288,complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(X_288))),meet(X_288,complement(sk1))) )],[refute_0_5480,refute_0_5481]) ).
cnf(refute_0_5483,plain,
zero = meet(join(sk1,complement(X_288)),meet(X_288,complement(sk1))),
inference(resolve,[$cnf( $equal(zero,meet(join(sk1,complement(X_288)),complement(join(sk1,complement(X_288))))) )],[refute_0_5477,refute_0_5482]) ).
cnf(refute_0_5484,plain,
zero = meet(join(sk1,complement(X_304)),meet(X_304,complement(sk1))),
inference(subst,[],[refute_0_5483:[bind(X_288,$fot(X_304))]]) ).
cnf(refute_0_5485,plain,
meet(complement(sk1),X_304) = meet(X_304,complement(sk1)),
inference(subst,[],[refute_0_33:[bind(X_6,$fot(complement(sk1))),bind(X_7,$fot(X_304))]]) ).
cnf(refute_0_5486,plain,
( meet(complement(sk1),X_304) != meet(X_304,complement(sk1))
| meet(X_304,complement(sk1)) = meet(complement(sk1),X_304) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(sk1),X_304))),bind(Y,$fot(meet(X_304,complement(sk1))))]]) ).
cnf(refute_0_5487,plain,
meet(X_304,complement(sk1)) = meet(complement(sk1),X_304),
inference(resolve,[$cnf( $equal(meet(complement(sk1),X_304),meet(X_304,complement(sk1))) )],[refute_0_5485,refute_0_5486]) ).
cnf(refute_0_5488,plain,
( meet(X_304,complement(sk1)) != meet(complement(sk1),X_304)
| zero != meet(join(sk1,complement(X_304)),meet(X_304,complement(sk1)))
| zero = meet(join(sk1,complement(X_304)),meet(complement(sk1),X_304)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(sk1,complement(X_304)),meet(X_304,complement(sk1)))) ),[1,1],$fot(meet(complement(sk1),X_304))]]) ).
cnf(refute_0_5489,plain,
( zero != meet(join(sk1,complement(X_304)),meet(X_304,complement(sk1)))
| zero = meet(join(sk1,complement(X_304)),meet(complement(sk1),X_304)) ),
inference(resolve,[$cnf( $equal(meet(X_304,complement(sk1)),meet(complement(sk1),X_304)) )],[refute_0_5487,refute_0_5488]) ).
cnf(refute_0_5490,plain,
zero = meet(join(sk1,complement(X_304)),meet(complement(sk1),X_304)),
inference(resolve,[$cnf( $equal(zero,meet(join(sk1,complement(X_304)),meet(X_304,complement(sk1)))) )],[refute_0_5484,refute_0_5489]) ).
cnf(refute_0_5491,plain,
zero = meet(join(sk1,complement(composition(sk1,complement(sk1)))),meet(complement(sk1),composition(sk1,complement(sk1)))),
inference(subst,[],[refute_0_5490:[bind(X_304,$fot(composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_5492,plain,
composition(X_210,X_211) = meet(composition(X_210,X_211),join(composition(X_209,X_211),composition(X_210,X_211))),
inference(subst,[],[refute_0_1000:[bind(X_118,$fot(composition(X_209,X_211))),bind(X_119,$fot(composition(X_210,X_211)))]]) ).
cnf(refute_0_5493,plain,
composition(join(X_209,X_210),X_211) = join(composition(X_209,X_211),composition(X_210,X_211)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_209)),bind(B,$fot(X_210)),bind(C,$fot(X_211))]]) ).
cnf(refute_0_5494,plain,
( composition(join(X_209,X_210),X_211) != join(composition(X_209,X_211),composition(X_210,X_211))
| join(composition(X_209,X_211),composition(X_210,X_211)) = composition(join(X_209,X_210),X_211) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_209,X_210),X_211))),bind(Y,$fot(join(composition(X_209,X_211),composition(X_210,X_211))))]]) ).
cnf(refute_0_5495,plain,
join(composition(X_209,X_211),composition(X_210,X_211)) = composition(join(X_209,X_210),X_211),
inference(resolve,[$cnf( $equal(composition(join(X_209,X_210),X_211),join(composition(X_209,X_211),composition(X_210,X_211))) )],[refute_0_5493,refute_0_5494]) ).
cnf(refute_0_5496,plain,
( composition(X_210,X_211) != meet(composition(X_210,X_211),join(composition(X_209,X_211),composition(X_210,X_211)))
| join(composition(X_209,X_211),composition(X_210,X_211)) != composition(join(X_209,X_210),X_211)
| composition(X_210,X_211) = meet(composition(X_210,X_211),composition(join(X_209,X_210),X_211)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_210,X_211),meet(composition(X_210,X_211),join(composition(X_209,X_211),composition(X_210,X_211)))) ),[1,1],$fot(composition(join(X_209,X_210),X_211))]]) ).
cnf(refute_0_5497,plain,
( composition(X_210,X_211) != meet(composition(X_210,X_211),join(composition(X_209,X_211),composition(X_210,X_211)))
| composition(X_210,X_211) = meet(composition(X_210,X_211),composition(join(X_209,X_210),X_211)) ),
inference(resolve,[$cnf( $equal(join(composition(X_209,X_211),composition(X_210,X_211)),composition(join(X_209,X_210),X_211)) )],[refute_0_5495,refute_0_5496]) ).
cnf(refute_0_5498,plain,
composition(X_210,X_211) = meet(composition(X_210,X_211),composition(join(X_209,X_210),X_211)),
inference(resolve,[$cnf( $equal(composition(X_210,X_211),meet(composition(X_210,X_211),join(composition(X_209,X_211),composition(X_210,X_211)))) )],[refute_0_5492,refute_0_5497]) ).
cnf(refute_0_5499,plain,
composition(sk1,X_551) = meet(composition(sk1,X_551),composition(join(one,sk1),X_551)),
inference(subst,[],[refute_0_5498:[bind(X_209,$fot(one)),bind(X_210,$fot(sk1)),bind(X_211,$fot(X_551))]]) ).
cnf(refute_0_5500,plain,
( composition(sk1,X_551) != meet(composition(sk1,X_551),composition(join(one,sk1),X_551))
| join(one,sk1) != one
| composition(sk1,X_551) = meet(composition(sk1,X_551),composition(one,X_551)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(sk1,X_551),meet(composition(sk1,X_551),composition(join(one,sk1),X_551))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_5501,plain,
( composition(sk1,X_551) != meet(composition(sk1,X_551),composition(join(one,sk1),X_551))
| composition(sk1,X_551) = meet(composition(sk1,X_551),composition(one,X_551)) ),
inference(resolve,[$cnf( $equal(join(one,sk1),one) )],[refute_0_684,refute_0_5500]) ).
cnf(refute_0_5502,plain,
composition(sk1,X_551) = meet(composition(sk1,X_551),composition(one,X_551)),
inference(resolve,[$cnf( $equal(composition(sk1,X_551),meet(composition(sk1,X_551),composition(join(one,sk1),X_551))) )],[refute_0_5499,refute_0_5501]) ).
cnf(refute_0_5503,plain,
composition(one,X_551) = X_551,
inference(subst,[],[refute_0_79:[bind(X_46,$fot(X_551))]]) ).
cnf(refute_0_5504,plain,
meet(composition(one,X_551),composition(sk1,X_551)) = meet(composition(one,X_551),composition(sk1,X_551)),
introduced(tautology,[refl,[$fot(meet(composition(one,X_551),composition(sk1,X_551)))]]) ).
cnf(refute_0_5505,plain,
( composition(one,X_551) != X_551
| meet(composition(one,X_551),composition(sk1,X_551)) != meet(composition(one,X_551),composition(sk1,X_551))
| meet(composition(one,X_551),composition(sk1,X_551)) = meet(X_551,composition(sk1,X_551)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(one,X_551),composition(sk1,X_551)),meet(composition(one,X_551),composition(sk1,X_551))) ),[1,0],$fot(X_551)]]) ).
cnf(refute_0_5506,plain,
( composition(one,X_551) != X_551
| meet(composition(one,X_551),composition(sk1,X_551)) = meet(X_551,composition(sk1,X_551)) ),
inference(resolve,[$cnf( $equal(meet(composition(one,X_551),composition(sk1,X_551)),meet(composition(one,X_551),composition(sk1,X_551))) )],[refute_0_5504,refute_0_5505]) ).
cnf(refute_0_5507,plain,
meet(composition(one,X_551),composition(sk1,X_551)) = meet(X_551,composition(sk1,X_551)),
inference(resolve,[$cnf( $equal(composition(one,X_551),X_551) )],[refute_0_5503,refute_0_5506]) ).
cnf(refute_0_5508,plain,
meet(composition(sk1,X_551),composition(one,X_551)) = meet(composition(one,X_551),composition(sk1,X_551)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(composition(one,X_551))),bind(X_7,$fot(composition(sk1,X_551)))]]) ).
cnf(refute_0_5509,plain,
( meet(composition(one,X_551),composition(sk1,X_551)) != meet(X_551,composition(sk1,X_551))
| meet(composition(sk1,X_551),composition(one,X_551)) != meet(composition(one,X_551),composition(sk1,X_551))
| meet(composition(sk1,X_551),composition(one,X_551)) = meet(X_551,composition(sk1,X_551)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(composition(sk1,X_551),composition(one,X_551)))),bind(Y,$fot(meet(composition(one,X_551),composition(sk1,X_551)))),bind(Z,$fot(meet(X_551,composition(sk1,X_551))))]]) ).
cnf(refute_0_5510,plain,
( meet(composition(one,X_551),composition(sk1,X_551)) != meet(X_551,composition(sk1,X_551))
| meet(composition(sk1,X_551),composition(one,X_551)) = meet(X_551,composition(sk1,X_551)) ),
inference(resolve,[$cnf( $equal(meet(composition(sk1,X_551),composition(one,X_551)),meet(composition(one,X_551),composition(sk1,X_551))) )],[refute_0_5508,refute_0_5509]) ).
cnf(refute_0_5511,plain,
meet(composition(sk1,X_551),composition(one,X_551)) = meet(X_551,composition(sk1,X_551)),
inference(resolve,[$cnf( $equal(meet(composition(one,X_551),composition(sk1,X_551)),meet(X_551,composition(sk1,X_551))) )],[refute_0_5507,refute_0_5510]) ).
cnf(refute_0_5512,plain,
( composition(sk1,X_551) != meet(composition(sk1,X_551),composition(one,X_551))
| meet(composition(sk1,X_551),composition(one,X_551)) != meet(X_551,composition(sk1,X_551))
| composition(sk1,X_551) = meet(X_551,composition(sk1,X_551)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(sk1,X_551),meet(X_551,composition(sk1,X_551))) ),[0],$fot(meet(composition(sk1,X_551),composition(one,X_551)))]]) ).
cnf(refute_0_5513,plain,
( composition(sk1,X_551) != meet(composition(sk1,X_551),composition(one,X_551))
| composition(sk1,X_551) = meet(X_551,composition(sk1,X_551)) ),
inference(resolve,[$cnf( $equal(meet(composition(sk1,X_551),composition(one,X_551)),meet(X_551,composition(sk1,X_551))) )],[refute_0_5511,refute_0_5512]) ).
cnf(refute_0_5514,plain,
composition(sk1,X_551) = meet(X_551,composition(sk1,X_551)),
inference(resolve,[$cnf( $equal(composition(sk1,X_551),meet(composition(sk1,X_551),composition(one,X_551))) )],[refute_0_5502,refute_0_5513]) ).
cnf(refute_0_5515,plain,
composition(sk1,complement(sk1)) = meet(complement(sk1),composition(sk1,complement(sk1))),
inference(subst,[],[refute_0_5514:[bind(X_551,$fot(complement(sk1)))]]) ).
cnf(refute_0_5516,plain,
( composition(sk1,complement(sk1)) != meet(complement(sk1),composition(sk1,complement(sk1)))
| meet(complement(sk1),composition(sk1,complement(sk1))) = composition(sk1,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(sk1,complement(sk1)))),bind(Y,$fot(meet(complement(sk1),composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_5517,plain,
meet(complement(sk1),composition(sk1,complement(sk1))) = composition(sk1,complement(sk1)),
inference(resolve,[$cnf( $equal(composition(sk1,complement(sk1)),meet(complement(sk1),composition(sk1,complement(sk1)))) )],[refute_0_5515,refute_0_5516]) ).
cnf(refute_0_5518,plain,
( meet(complement(sk1),composition(sk1,complement(sk1))) != composition(sk1,complement(sk1))
| zero != meet(join(sk1,complement(composition(sk1,complement(sk1)))),meet(complement(sk1),composition(sk1,complement(sk1))))
| zero = meet(join(sk1,complement(composition(sk1,complement(sk1)))),composition(sk1,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(sk1,complement(composition(sk1,complement(sk1)))),meet(complement(sk1),composition(sk1,complement(sk1))))) ),[1,1],$fot(composition(sk1,complement(sk1)))]]) ).
cnf(refute_0_5519,plain,
( zero != meet(join(sk1,complement(composition(sk1,complement(sk1)))),meet(complement(sk1),composition(sk1,complement(sk1))))
| zero = meet(join(sk1,complement(composition(sk1,complement(sk1)))),composition(sk1,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),composition(sk1,complement(sk1))),composition(sk1,complement(sk1))) )],[refute_0_5517,refute_0_5518]) ).
cnf(refute_0_5520,plain,
zero = meet(join(sk1,complement(composition(sk1,complement(sk1)))),composition(sk1,complement(sk1))),
inference(resolve,[$cnf( $equal(zero,meet(join(sk1,complement(composition(sk1,complement(sk1)))),meet(complement(sk1),composition(sk1,complement(sk1))))) )],[refute_0_5491,refute_0_5519]) ).
cnf(refute_0_5521,plain,
meet(join(sk1,complement(composition(sk1,complement(sk1)))),composition(sk1,complement(sk1))) = meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(composition(sk1,complement(sk1)))),bind(X_7,$fot(join(sk1,complement(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_5522,plain,
( meet(join(sk1,complement(composition(sk1,complement(sk1)))),composition(sk1,complement(sk1))) != meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1)))))
| zero != meet(join(sk1,complement(composition(sk1,complement(sk1)))),composition(sk1,complement(sk1)))
| zero = meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(sk1,complement(composition(sk1,complement(sk1)))),composition(sk1,complement(sk1)))) ),[1],$fot(meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_5523,plain,
( zero != meet(join(sk1,complement(composition(sk1,complement(sk1)))),composition(sk1,complement(sk1)))
| zero = meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(composition(sk1,complement(sk1)))),composition(sk1,complement(sk1))),meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1)))))) )],[refute_0_5521,refute_0_5522]) ).
cnf(refute_0_5524,plain,
zero = meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(zero,meet(join(sk1,complement(composition(sk1,complement(sk1)))),composition(sk1,complement(sk1)))) )],[refute_0_5520,refute_0_5523]) ).
cnf(refute_0_5525,plain,
( zero != meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1)))))
| meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1)))))))]]) ).
cnf(refute_0_5526,plain,
meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1)))))) )],[refute_0_5524,refute_0_5525]) ).
cnf(refute_0_5527,plain,
( join(sk1,complement(composition(sk1,complement(sk1)))) != join(meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))),meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1))))))
| meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))) != zero
| join(sk1,complement(composition(sk1,complement(sk1)))) = join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,complement(composition(sk1,complement(sk1)))),join(meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))),meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5528,plain,
( join(sk1,complement(composition(sk1,complement(sk1)))) != join(meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))),meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1))))))
| join(sk1,complement(composition(sk1,complement(sk1)))) = join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))),zero) )],[refute_0_5526,refute_0_5527]) ).
cnf(refute_0_5529,plain,
join(sk1,complement(composition(sk1,complement(sk1)))) = join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(composition(sk1,complement(sk1)))),join(meet(composition(sk1,complement(sk1)),join(sk1,complement(composition(sk1,complement(sk1))))),meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1))))))) )],[refute_0_5476,refute_0_5528]) ).
cnf(refute_0_5530,plain,
meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1))))) = complement(composition(sk1,complement(sk1))),
inference(subst,[],[refute_0_1170:[bind(X_118,$fot(sk1)),bind(X_119,$fot(complement(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_5531,plain,
join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))) = meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1))))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))))]]) ).
cnf(refute_0_5532,plain,
( join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))) != meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))
| meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1))))) != complement(composition(sk1,complement(sk1)))
| join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))) = complement(composition(sk1,complement(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))))),bind(Y,$fot(meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1))))))),bind(Z,$fot(complement(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_5533,plain,
( meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1))))) != complement(composition(sk1,complement(sk1)))
| join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))) = complement(composition(sk1,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))),meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))) )],[refute_0_5531,refute_0_5532]) ).
cnf(refute_0_5534,plain,
join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))) = complement(composition(sk1,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1))))),complement(composition(sk1,complement(sk1)))) )],[refute_0_5530,refute_0_5533]) ).
cnf(refute_0_5535,plain,
( join(sk1,complement(composition(sk1,complement(sk1)))) != join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1))))))
| join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))) != complement(composition(sk1,complement(sk1)))
| join(sk1,complement(composition(sk1,complement(sk1)))) = complement(composition(sk1,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,complement(composition(sk1,complement(sk1)))),complement(composition(sk1,complement(sk1)))) ),[0],$fot(join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))))]]) ).
cnf(refute_0_5536,plain,
( join(sk1,complement(composition(sk1,complement(sk1)))) != join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1))))))
| join(sk1,complement(composition(sk1,complement(sk1)))) = complement(composition(sk1,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1)))))),complement(composition(sk1,complement(sk1)))) )],[refute_0_5534,refute_0_5535]) ).
cnf(refute_0_5537,plain,
join(sk1,complement(composition(sk1,complement(sk1)))) = complement(composition(sk1,complement(sk1))),
inference(resolve,[$cnf( $equal(join(sk1,complement(composition(sk1,complement(sk1)))),join(zero,meet(complement(composition(sk1,complement(sk1))),join(sk1,complement(composition(sk1,complement(sk1))))))) )],[refute_0_5529,refute_0_5536]) ).
cnf(refute_0_5538,plain,
( converse(sk1) != meet(converse(sk1),converse(join(sk1,complement(composition(sk1,complement(sk1))))))
| join(sk1,complement(composition(sk1,complement(sk1)))) != complement(composition(sk1,complement(sk1)))
| converse(sk1) = meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(join(sk1,complement(composition(sk1,complement(sk1))))))) ),[1,1,0],$fot(complement(composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_5539,plain,
( converse(sk1) != meet(converse(sk1),converse(join(sk1,complement(composition(sk1,complement(sk1))))))
| converse(sk1) = meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(composition(sk1,complement(sk1)))),complement(composition(sk1,complement(sk1)))) )],[refute_0_5537,refute_0_5538]) ).
cnf(refute_0_5540,plain,
converse(sk1) = meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(join(sk1,complement(composition(sk1,complement(sk1))))))) )],[refute_0_5475,refute_0_5539]) ).
cnf(refute_0_5541,plain,
converse(complement(composition(sk1,complement(sk1)))) = complement(converse(composition(sk1,complement(sk1)))),
inference(subst,[],[refute_0_4748:[bind(X_544,$fot(composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_5542,plain,
meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))) = meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))),
introduced(tautology,[refl,[$fot(meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_5543,plain,
( converse(complement(composition(sk1,complement(sk1)))) != complement(converse(composition(sk1,complement(sk1))))
| meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))) != meet(converse(sk1),converse(complement(composition(sk1,complement(sk1)))))
| meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))) = meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))),meet(converse(sk1),converse(complement(composition(sk1,complement(sk1)))))) ),[1,1],$fot(complement(converse(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_5544,plain,
( converse(complement(composition(sk1,complement(sk1)))) != complement(converse(composition(sk1,complement(sk1))))
| meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))) = meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))),meet(converse(sk1),converse(complement(composition(sk1,complement(sk1)))))) )],[refute_0_5542,refute_0_5543]) ).
cnf(refute_0_5545,plain,
meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))) = meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(sk1,complement(sk1)))),complement(converse(composition(sk1,complement(sk1))))) )],[refute_0_5541,refute_0_5544]) ).
cnf(refute_0_5546,plain,
( converse(sk1) != meet(converse(sk1),converse(complement(composition(sk1,complement(sk1)))))
| meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))) != meet(converse(sk1),complement(converse(composition(sk1,complement(sk1)))))
| converse(sk1) = meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk1),meet(converse(sk1),complement(converse(composition(sk1,complement(sk1)))))) ),[0],$fot(meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_5547,plain,
( converse(sk1) != meet(converse(sk1),converse(complement(composition(sk1,complement(sk1)))))
| converse(sk1) = meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(complement(composition(sk1,complement(sk1))))),meet(converse(sk1),complement(converse(composition(sk1,complement(sk1)))))) )],[refute_0_5545,refute_0_5546]) ).
cnf(refute_0_5548,plain,
converse(sk1) = meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(complement(composition(sk1,complement(sk1)))))) )],[refute_0_5540,refute_0_5547]) ).
cnf(refute_0_5549,plain,
( converse(sk1) != meet(converse(sk1),complement(converse(composition(sk1,complement(sk1)))))
| meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(meet(converse(sk1),complement(converse(composition(sk1,complement(sk1)))))))]]) ).
cnf(refute_0_5550,plain,
meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),complement(converse(composition(sk1,complement(sk1)))))) )],[refute_0_5548,refute_0_5549]) ).
cnf(refute_0_5551,plain,
( complement(converse(composition(sk1,complement(sk1)))) != join(meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))))
| meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))) != converse(sk1)
| complement(converse(composition(sk1,complement(sk1)))) = join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(sk1,complement(sk1)))),join(meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_5552,plain,
( complement(converse(composition(sk1,complement(sk1)))) != join(meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))))
| complement(converse(composition(sk1,complement(sk1)))) = join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))),converse(sk1)) )],[refute_0_5550,refute_0_5551]) ).
cnf(refute_0_5553,plain,
complement(converse(composition(sk1,complement(sk1)))) = join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(sk1,complement(sk1)))),join(meet(converse(sk1),complement(converse(composition(sk1,complement(sk1))))),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))))) )],[refute_0_5474,refute_0_5552]) ).
cnf(refute_0_5554,plain,
complement(composition(complement(sk1),converse(sk1))) = join(meet(converse(sk1),complement(composition(complement(sk1),converse(sk1)))),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))),
inference(subst,[],[refute_0_5473:[bind(X_165,$fot(converse(sk1))),bind(X_166,$fot(complement(composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_5555,plain,
converse(sk1) = meet(converse(sk1),join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),X_230))),
inference(subst,[],[refute_0_677:[bind(X_33,$fot(join(complement(converse(join(sk1,complement(one)))),X_230))),bind(X_97,$fot(converse(sk1)))]]) ).
cnf(refute_0_5556,plain,
join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) = join(join(converse(sk1),complement(join(complement(one),converse(sk1)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(converse(sk1))),bind(B,$fot(complement(join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_5557,plain,
one = join(meet(one,converse(sk1)),complement(join(complement(one),converse(sk1)))),
inference(subst,[],[refute_0_152:[bind(A,$fot(one)),bind(B,$fot(converse(sk1)))]]) ).
cnf(refute_0_5558,plain,
( meet(one,converse(sk1)) != converse(sk1)
| one != join(meet(one,converse(sk1)),complement(join(complement(one),converse(sk1))))
| one = join(converse(sk1),complement(join(complement(one),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(sk1)),complement(join(complement(one),converse(sk1))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_5559,plain,
( one != join(meet(one,converse(sk1)),complement(join(complement(one),converse(sk1))))
| one = join(converse(sk1),complement(join(complement(one),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(sk1)),converse(sk1)) )],[refute_0_5083,refute_0_5558]) ).
cnf(refute_0_5560,plain,
one = join(converse(sk1),complement(join(complement(one),converse(sk1)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(sk1)),complement(join(complement(one),converse(sk1))))) )],[refute_0_5557,refute_0_5559]) ).
cnf(refute_0_5561,plain,
( one != join(converse(sk1),complement(join(complement(one),converse(sk1))))
| join(converse(sk1),complement(join(complement(one),converse(sk1)))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(converse(sk1),complement(join(complement(one),converse(sk1))))))]]) ).
cnf(refute_0_5562,plain,
join(converse(sk1),complement(join(complement(one),converse(sk1)))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(sk1),complement(join(complement(one),converse(sk1))))) )],[refute_0_5560,refute_0_5561]) ).
cnf(refute_0_5563,plain,
( join(converse(sk1),complement(join(complement(one),converse(sk1)))) != one
| join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) != join(join(converse(sk1),complement(join(complement(one),converse(sk1)))),C)
| join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) = join(one,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)),join(join(converse(sk1),complement(join(complement(one),converse(sk1)))),C)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5564,plain,
( join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) != join(join(converse(sk1),complement(join(complement(one),converse(sk1)))),C)
| join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) = join(one,C) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(complement(one),converse(sk1)))),one) )],[refute_0_5562,refute_0_5563]) ).
cnf(refute_0_5565,plain,
join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) = join(one,C),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)),join(join(converse(sk1),complement(join(complement(one),converse(sk1)))),C)) )],[refute_0_5556,refute_0_5564]) ).
cnf(refute_0_5566,plain,
complement(join(complement(one),converse(sk1))) = complement(join(complement(one),converse(sk1))),
introduced(tautology,[refl,[$fot(complement(join(complement(one),converse(sk1))))]]) ).
cnf(refute_0_5567,plain,
( complement(join(complement(one),converse(sk1))) != complement(join(complement(one),converse(sk1)))
| join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| complement(join(complement(one),converse(sk1))) = complement(converse(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(one),converse(sk1))),complement(join(complement(one),converse(sk1)))) ),[1,0],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_5568,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| complement(join(complement(one),converse(sk1))) = complement(converse(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(sk1))),complement(join(complement(one),converse(sk1)))) )],[refute_0_5566,refute_0_5567]) ).
cnf(refute_0_5569,plain,
complement(join(complement(one),converse(sk1))) = complement(converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),converse(join(sk1,complement(one)))) )],[refute_0_5141,refute_0_5568]) ).
cnf(refute_0_5570,plain,
join(complement(join(complement(one),converse(sk1))),C) = join(complement(join(complement(one),converse(sk1))),C),
introduced(tautology,[refl,[$fot(join(complement(join(complement(one),converse(sk1))),C))]]) ).
cnf(refute_0_5571,plain,
( complement(join(complement(one),converse(sk1))) != complement(converse(join(sk1,complement(one))))
| join(complement(join(complement(one),converse(sk1))),C) != join(complement(join(complement(one),converse(sk1))),C)
| join(complement(join(complement(one),converse(sk1))),C) = join(complement(converse(join(sk1,complement(one)))),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(one),converse(sk1))),C),join(complement(join(complement(one),converse(sk1))),C)) ),[1,0],$fot(complement(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_5572,plain,
( complement(join(complement(one),converse(sk1))) != complement(converse(join(sk1,complement(one))))
| join(complement(join(complement(one),converse(sk1))),C) = join(complement(converse(join(sk1,complement(one)))),C) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(one),converse(sk1))),C),join(complement(join(complement(one),converse(sk1))),C)) )],[refute_0_5570,refute_0_5571]) ).
cnf(refute_0_5573,plain,
join(complement(join(complement(one),converse(sk1))),C) = join(complement(converse(join(sk1,complement(one)))),C),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(sk1))),complement(converse(join(sk1,complement(one))))) )],[refute_0_5569,refute_0_5572]) ).
cnf(refute_0_5574,plain,
join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) = join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)),
introduced(tautology,[refl,[$fot(join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)))]]) ).
cnf(refute_0_5575,plain,
( join(complement(join(complement(one),converse(sk1))),C) != join(complement(converse(join(sk1,complement(one)))),C)
| join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) != join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C))
| join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) = join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)),join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C))) ),[1,1],$fot(join(complement(converse(join(sk1,complement(one)))),C))]]) ).
cnf(refute_0_5576,plain,
( join(complement(join(complement(one),converse(sk1))),C) != join(complement(converse(join(sk1,complement(one)))),C)
| join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) = join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),C)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)),join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C))) )],[refute_0_5574,refute_0_5575]) ).
cnf(refute_0_5577,plain,
join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) = join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),C)),
inference(resolve,[$cnf( $equal(join(complement(join(complement(one),converse(sk1))),C),join(complement(converse(join(sk1,complement(one)))),C)) )],[refute_0_5573,refute_0_5576]) ).
cnf(refute_0_5578,plain,
( join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) != join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),C))
| join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) != join(one,C)
| join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),C)) = join(one,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)),join(one,C)) ),[0],$fot(join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),C)))]]) ).
cnf(refute_0_5579,plain,
( join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)) != join(one,C)
| join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),C)) = join(one,C) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)),join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),C))) )],[refute_0_5577,refute_0_5578]) ).
cnf(refute_0_5580,plain,
join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),C)) = join(one,C),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(complement(join(complement(one),converse(sk1))),C)),join(one,C)) )],[refute_0_5565,refute_0_5579]) ).
cnf(refute_0_5581,plain,
join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),X_230)) = join(one,X_230),
inference(subst,[],[refute_0_5580:[bind(C,$fot(X_230))]]) ).
cnf(refute_0_5582,plain,
( converse(sk1) != meet(converse(sk1),join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),X_230)))
| join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),X_230)) != join(one,X_230)
| converse(sk1) = meet(converse(sk1),join(one,X_230)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),meet(converse(sk1),join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),X_230)))) ),[1,1],$fot(join(one,X_230))]]) ).
cnf(refute_0_5583,plain,
( converse(sk1) != meet(converse(sk1),join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),X_230)))
| converse(sk1) = meet(converse(sk1),join(one,X_230)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),X_230)),join(one,X_230)) )],[refute_0_5581,refute_0_5582]) ).
cnf(refute_0_5584,plain,
converse(sk1) = meet(converse(sk1),join(one,X_230)),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),X_230)))) )],[refute_0_5555,refute_0_5583]) ).
cnf(refute_0_5585,plain,
converse(sk1) = meet(converse(sk1),join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))),
inference(subst,[],[refute_0_5584:[bind(X_230,$fot(complement(join(one,composition(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_5586,plain,
( converse(sk1) != meet(converse(sk1),join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))
| join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) != complement(composition(complement(sk1),converse(sk1)))
| converse(sk1) = meet(converse(sk1),complement(composition(complement(sk1),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),meet(converse(sk1),join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))) ),[1,1],$fot(complement(composition(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_5587,plain,
( converse(sk1) != meet(converse(sk1),join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))
| converse(sk1) = meet(converse(sk1),complement(composition(complement(sk1),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(complement(sk1),converse(sk1))))),complement(composition(complement(sk1),converse(sk1)))) )],[refute_0_4559,refute_0_5586]) ).
cnf(refute_0_5588,plain,
converse(sk1) = meet(converse(sk1),complement(composition(complement(sk1),converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))) )],[refute_0_5585,refute_0_5587]) ).
cnf(refute_0_5589,plain,
( converse(sk1) != meet(converse(sk1),complement(composition(complement(sk1),converse(sk1))))
| meet(converse(sk1),complement(composition(complement(sk1),converse(sk1)))) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(meet(converse(sk1),complement(composition(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_5590,plain,
meet(converse(sk1),complement(composition(complement(sk1),converse(sk1)))) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),complement(composition(complement(sk1),converse(sk1))))) )],[refute_0_5588,refute_0_5589]) ).
cnf(refute_0_5591,plain,
( complement(composition(complement(sk1),converse(sk1))) != join(meet(converse(sk1),complement(composition(complement(sk1),converse(sk1)))),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))))
| meet(converse(sk1),complement(composition(complement(sk1),converse(sk1)))) != converse(sk1)
| complement(composition(complement(sk1),converse(sk1))) = join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),join(meet(converse(sk1),complement(composition(complement(sk1),converse(sk1)))),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_5592,plain,
( complement(composition(complement(sk1),converse(sk1))) != join(meet(converse(sk1),complement(composition(complement(sk1),converse(sk1)))),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))))
| complement(composition(complement(sk1),converse(sk1))) = join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(composition(complement(sk1),converse(sk1)))),converse(sk1)) )],[refute_0_5590,refute_0_5591]) ).
cnf(refute_0_5593,plain,
complement(composition(complement(sk1),converse(sk1))) = join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),join(meet(converse(sk1),complement(composition(complement(sk1),converse(sk1)))),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))))) )],[refute_0_5554,refute_0_5592]) ).
cnf(refute_0_5594,plain,
( converse(composition(X_18,top)) != composition(top,converse(X_18))
| composition(top,converse(X_18)) = converse(composition(X_18,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_18,top)))),bind(Y,$fot(composition(top,converse(X_18))))]]) ).
cnf(refute_0_5595,plain,
composition(top,converse(X_18)) = converse(composition(X_18,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_18,top)),composition(top,converse(X_18))) )],[refute_0_1999,refute_0_5594]) ).
cnf(refute_0_5596,plain,
composition(top,converse(sk1)) = converse(composition(sk1,top)),
inference(subst,[],[refute_0_5595:[bind(X_18,$fot(sk1))]]) ).
cnf(refute_0_5597,plain,
composition(join(one,complement(sk1)),converse(sk1)) = composition(join(one,complement(sk1)),converse(sk1)),
introduced(tautology,[refl,[$fot(composition(join(one,complement(sk1)),converse(sk1)))]]) ).
cnf(refute_0_5598,plain,
( composition(join(one,complement(sk1)),converse(sk1)) != composition(join(one,complement(sk1)),converse(sk1))
| join(one,complement(sk1)) != top
| composition(join(one,complement(sk1)),converse(sk1)) = composition(top,converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(sk1)),converse(sk1)),composition(join(one,complement(sk1)),converse(sk1))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5599,plain,
( join(one,complement(sk1)) != top
| composition(join(one,complement(sk1)),converse(sk1)) = composition(top,converse(sk1)) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(sk1)),converse(sk1)),composition(join(one,complement(sk1)),converse(sk1))) )],[refute_0_5597,refute_0_5598]) ).
cnf(refute_0_5600,plain,
composition(join(one,complement(sk1)),converse(sk1)) = composition(top,converse(sk1)),
inference(resolve,[$cnf( $equal(join(one,complement(sk1)),top) )],[refute_0_908,refute_0_5599]) ).
cnf(refute_0_5601,plain,
( composition(join(one,complement(sk1)),converse(sk1)) != composition(top,converse(sk1))
| composition(top,converse(sk1)) != converse(composition(sk1,top))
| composition(join(one,complement(sk1)),converse(sk1)) = converse(composition(sk1,top)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(join(one,complement(sk1)),converse(sk1)))),bind(Y,$fot(composition(top,converse(sk1)))),bind(Z,$fot(converse(composition(sk1,top))))]]) ).
cnf(refute_0_5602,plain,
( composition(top,converse(sk1)) != converse(composition(sk1,top))
| composition(join(one,complement(sk1)),converse(sk1)) = converse(composition(sk1,top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(sk1)),converse(sk1)),composition(top,converse(sk1))) )],[refute_0_5600,refute_0_5601]) ).
cnf(refute_0_5603,plain,
composition(join(one,complement(sk1)),converse(sk1)) = converse(composition(sk1,top)),
inference(resolve,[$cnf( $equal(composition(top,converse(sk1)),converse(composition(sk1,top))) )],[refute_0_5596,refute_0_5602]) ).
cnf(refute_0_5604,plain,
converse(composition(X_18,join(converse(A),X_12))) = composition(converse(join(converse(A),X_12)),converse(X_18)),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(X_18)),bind(B,$fot(join(converse(A),X_12)))]]) ).
cnf(refute_0_5605,plain,
( converse(composition(X_18,join(converse(A),X_12))) != composition(converse(join(converse(A),X_12)),converse(X_18))
| converse(join(converse(A),X_12)) != join(A,converse(X_12))
| converse(composition(X_18,join(converse(A),X_12))) = composition(join(A,converse(X_12)),converse(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_18,join(converse(A),X_12))),composition(converse(join(converse(A),X_12)),converse(X_18))) ),[1,0],$fot(join(A,converse(X_12)))]]) ).
cnf(refute_0_5606,plain,
( converse(composition(X_18,join(converse(A),X_12))) != composition(converse(join(converse(A),X_12)),converse(X_18))
| converse(composition(X_18,join(converse(A),X_12))) = composition(join(A,converse(X_12)),converse(X_18)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),X_12)),join(A,converse(X_12))) )],[refute_0_705,refute_0_5605]) ).
cnf(refute_0_5607,plain,
converse(composition(X_18,join(converse(A),X_12))) = composition(join(A,converse(X_12)),converse(X_18)),
inference(resolve,[$cnf( $equal(converse(composition(X_18,join(converse(A),X_12))),composition(converse(join(converse(A),X_12)),converse(X_18))) )],[refute_0_5604,refute_0_5606]) ).
cnf(refute_0_5608,plain,
converse(composition(X_398,join(converse(X_396),one))) = composition(join(X_396,converse(one)),converse(X_398)),
inference(subst,[],[refute_0_5607:[bind(A,$fot(X_396)),bind(X_12,$fot(one)),bind(X_18,$fot(X_398))]]) ).
cnf(refute_0_5609,plain,
( converse(composition(X_398,join(converse(X_396),one))) != composition(join(X_396,converse(one)),converse(X_398))
| converse(one) != one
| converse(composition(X_398,join(converse(X_396),one))) = composition(join(X_396,one),converse(X_398)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_398,join(converse(X_396),one))),composition(join(X_396,converse(one)),converse(X_398))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_5610,plain,
( converse(composition(X_398,join(converse(X_396),one))) != composition(join(X_396,converse(one)),converse(X_398))
| converse(composition(X_398,join(converse(X_396),one))) = composition(join(X_396,one),converse(X_398)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_5609]) ).
cnf(refute_0_5611,plain,
converse(composition(X_398,join(converse(X_396),one))) = composition(join(X_396,one),converse(X_398)),
inference(resolve,[$cnf( $equal(converse(composition(X_398,join(converse(X_396),one))),composition(join(X_396,converse(one)),converse(X_398))) )],[refute_0_5608,refute_0_5610]) ).
cnf(refute_0_5612,plain,
converse(composition(X_398,converse(join(one,X_396)))) = composition(join(one,X_396),converse(X_398)),
inference(subst,[],[refute_0_1995:[bind(A,$fot(join(one,X_396))),bind(X_18,$fot(X_398))]]) ).
cnf(refute_0_5613,plain,
join(one,converse(X_396)) = converse(join(one,X_396)),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(X_396))]]) ).
cnf(refute_0_5614,plain,
composition(X_398,join(one,converse(X_396))) = composition(X_398,join(one,converse(X_396))),
introduced(tautology,[refl,[$fot(composition(X_398,join(one,converse(X_396))))]]) ).
cnf(refute_0_5615,plain,
( composition(X_398,join(one,converse(X_396))) != composition(X_398,join(one,converse(X_396)))
| join(one,converse(X_396)) != converse(join(one,X_396))
| composition(X_398,join(one,converse(X_396))) = composition(X_398,converse(join(one,X_396))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_398,join(one,converse(X_396))),composition(X_398,join(one,converse(X_396)))) ),[1,1],$fot(converse(join(one,X_396)))]]) ).
cnf(refute_0_5616,plain,
( join(one,converse(X_396)) != converse(join(one,X_396))
| composition(X_398,join(one,converse(X_396))) = composition(X_398,converse(join(one,X_396))) ),
inference(resolve,[$cnf( $equal(composition(X_398,join(one,converse(X_396))),composition(X_398,join(one,converse(X_396)))) )],[refute_0_5614,refute_0_5615]) ).
cnf(refute_0_5617,plain,
composition(X_398,join(one,converse(X_396))) = composition(X_398,converse(join(one,X_396))),
inference(resolve,[$cnf( $equal(join(one,converse(X_396)),converse(join(one,X_396))) )],[refute_0_5613,refute_0_5616]) ).
cnf(refute_0_5618,plain,
converse(composition(X_398,join(one,converse(X_396)))) = converse(composition(X_398,join(one,converse(X_396)))),
introduced(tautology,[refl,[$fot(converse(composition(X_398,join(one,converse(X_396)))))]]) ).
cnf(refute_0_5619,plain,
( composition(X_398,join(one,converse(X_396))) != composition(X_398,converse(join(one,X_396)))
| converse(composition(X_398,join(one,converse(X_396)))) != converse(composition(X_398,join(one,converse(X_396))))
| converse(composition(X_398,join(one,converse(X_396)))) = converse(composition(X_398,converse(join(one,X_396)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_398,join(one,converse(X_396)))),converse(composition(X_398,join(one,converse(X_396))))) ),[1,0],$fot(composition(X_398,converse(join(one,X_396))))]]) ).
cnf(refute_0_5620,plain,
( composition(X_398,join(one,converse(X_396))) != composition(X_398,converse(join(one,X_396)))
| converse(composition(X_398,join(one,converse(X_396)))) = converse(composition(X_398,converse(join(one,X_396)))) ),
inference(resolve,[$cnf( $equal(converse(composition(X_398,join(one,converse(X_396)))),converse(composition(X_398,join(one,converse(X_396))))) )],[refute_0_5618,refute_0_5619]) ).
cnf(refute_0_5621,plain,
converse(composition(X_398,join(one,converse(X_396)))) = converse(composition(X_398,converse(join(one,X_396)))),
inference(resolve,[$cnf( $equal(composition(X_398,join(one,converse(X_396))),composition(X_398,converse(join(one,X_396)))) )],[refute_0_5617,refute_0_5620]) ).
cnf(refute_0_5622,plain,
( converse(composition(X_398,converse(join(one,X_396)))) != composition(join(one,X_396),converse(X_398))
| converse(composition(X_398,join(one,converse(X_396)))) != converse(composition(X_398,converse(join(one,X_396))))
| converse(composition(X_398,join(one,converse(X_396)))) = composition(join(one,X_396),converse(X_398)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(composition(X_398,join(one,converse(X_396)))))),bind(Y,$fot(converse(composition(X_398,converse(join(one,X_396)))))),bind(Z,$fot(composition(join(one,X_396),converse(X_398))))]]) ).
cnf(refute_0_5623,plain,
( converse(composition(X_398,converse(join(one,X_396)))) != composition(join(one,X_396),converse(X_398))
| converse(composition(X_398,join(one,converse(X_396)))) = composition(join(one,X_396),converse(X_398)) ),
inference(resolve,[$cnf( $equal(converse(composition(X_398,join(one,converse(X_396)))),converse(composition(X_398,converse(join(one,X_396))))) )],[refute_0_5621,refute_0_5622]) ).
cnf(refute_0_5624,plain,
converse(composition(X_398,join(one,converse(X_396)))) = composition(join(one,X_396),converse(X_398)),
inference(resolve,[$cnf( $equal(converse(composition(X_398,converse(join(one,X_396)))),composition(join(one,X_396),converse(X_398))) )],[refute_0_5612,refute_0_5623]) ).
cnf(refute_0_5625,plain,
converse(composition(X_398,join(converse(X_396),X_397))) = composition(join(X_396,converse(X_397)),converse(X_398)),
inference(subst,[],[refute_0_5607:[bind(A,$fot(X_396)),bind(X_12,$fot(X_397)),bind(X_18,$fot(X_398))]]) ).
cnf(refute_0_5626,plain,
join(X_397,converse(X_396)) = join(converse(X_396),X_397),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_397)),bind(B,$fot(converse(X_396)))]]) ).
cnf(refute_0_5627,plain,
( join(X_397,converse(X_396)) != join(converse(X_396),X_397)
| join(converse(X_396),X_397) = join(X_397,converse(X_396)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_397,converse(X_396)))),bind(Y,$fot(join(converse(X_396),X_397)))]]) ).
cnf(refute_0_5628,plain,
join(converse(X_396),X_397) = join(X_397,converse(X_396)),
inference(resolve,[$cnf( $equal(join(X_397,converse(X_396)),join(converse(X_396),X_397)) )],[refute_0_5626,refute_0_5627]) ).
cnf(refute_0_5629,plain,
( converse(composition(X_398,join(converse(X_396),X_397))) != composition(join(X_396,converse(X_397)),converse(X_398))
| join(converse(X_396),X_397) != join(X_397,converse(X_396))
| converse(composition(X_398,join(X_397,converse(X_396)))) = composition(join(X_396,converse(X_397)),converse(X_398)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_398,join(converse(X_396),X_397))),composition(join(X_396,converse(X_397)),converse(X_398))) ),[0,0,1],$fot(join(X_397,converse(X_396)))]]) ).
cnf(refute_0_5630,plain,
( converse(composition(X_398,join(converse(X_396),X_397))) != composition(join(X_396,converse(X_397)),converse(X_398))
| converse(composition(X_398,join(X_397,converse(X_396)))) = composition(join(X_396,converse(X_397)),converse(X_398)) ),
inference(resolve,[$cnf( $equal(join(converse(X_396),X_397),join(X_397,converse(X_396))) )],[refute_0_5628,refute_0_5629]) ).
cnf(refute_0_5631,plain,
converse(composition(X_398,join(X_397,converse(X_396)))) = composition(join(X_396,converse(X_397)),converse(X_398)),
inference(resolve,[$cnf( $equal(converse(composition(X_398,join(converse(X_396),X_397))),composition(join(X_396,converse(X_397)),converse(X_398))) )],[refute_0_5625,refute_0_5630]) ).
cnf(refute_0_5632,plain,
( converse(composition(X_18,join(converse(A),X_12))) != composition(join(A,converse(X_12)),converse(X_18))
| composition(join(A,converse(X_12)),converse(X_18)) = converse(composition(X_18,join(converse(A),X_12))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_18,join(converse(A),X_12))))),bind(Y,$fot(composition(join(A,converse(X_12)),converse(X_18))))]]) ).
cnf(refute_0_5633,plain,
composition(join(A,converse(X_12)),converse(X_18)) = converse(composition(X_18,join(converse(A),X_12))),
inference(resolve,[$cnf( $equal(converse(composition(X_18,join(converse(A),X_12))),composition(join(A,converse(X_12)),converse(X_18))) )],[refute_0_5607,refute_0_5632]) ).
cnf(refute_0_5634,plain,
composition(join(X_396,converse(X_397)),converse(X_398)) = converse(composition(X_398,join(converse(X_396),X_397))),
inference(subst,[],[refute_0_5633:[bind(A,$fot(X_396)),bind(X_12,$fot(X_397)),bind(X_18,$fot(X_398))]]) ).
cnf(refute_0_5635,plain,
( composition(join(X_396,converse(X_397)),converse(X_398)) != converse(composition(X_398,join(converse(X_396),X_397)))
| converse(composition(X_398,join(X_397,converse(X_396)))) != composition(join(X_396,converse(X_397)),converse(X_398))
| converse(composition(X_398,join(X_397,converse(X_396)))) = converse(composition(X_398,join(converse(X_396),X_397))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_398,join(X_397,converse(X_396)))),composition(join(X_396,converse(X_397)),converse(X_398))) ),[1],$fot(converse(composition(X_398,join(converse(X_396),X_397))))]]) ).
cnf(refute_0_5636,plain,
( converse(composition(X_398,join(X_397,converse(X_396)))) != composition(join(X_396,converse(X_397)),converse(X_398))
| converse(composition(X_398,join(X_397,converse(X_396)))) = converse(composition(X_398,join(converse(X_396),X_397))) ),
inference(resolve,[$cnf( $equal(composition(join(X_396,converse(X_397)),converse(X_398)),converse(composition(X_398,join(converse(X_396),X_397)))) )],[refute_0_5634,refute_0_5635]) ).
cnf(refute_0_5637,plain,
converse(composition(X_398,join(X_397,converse(X_396)))) = converse(composition(X_398,join(converse(X_396),X_397))),
inference(resolve,[$cnf( $equal(converse(composition(X_398,join(X_397,converse(X_396)))),composition(join(X_396,converse(X_397)),converse(X_398))) )],[refute_0_5631,refute_0_5636]) ).
cnf(refute_0_5638,plain,
( converse(composition(X_398,join(X_397,converse(X_396)))) != converse(composition(X_398,join(converse(X_396),X_397)))
| converse(composition(X_398,join(converse(X_396),X_397))) = converse(composition(X_398,join(X_397,converse(X_396)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_398,join(X_397,converse(X_396)))))),bind(Y,$fot(converse(composition(X_398,join(converse(X_396),X_397)))))]]) ).
cnf(refute_0_5639,plain,
converse(composition(X_398,join(converse(X_396),X_397))) = converse(composition(X_398,join(X_397,converse(X_396)))),
inference(resolve,[$cnf( $equal(converse(composition(X_398,join(X_397,converse(X_396)))),converse(composition(X_398,join(converse(X_396),X_397)))) )],[refute_0_5637,refute_0_5638]) ).
cnf(refute_0_5640,plain,
converse(composition(X_398,join(converse(X_396),one))) = converse(composition(X_398,join(one,converse(X_396)))),
inference(subst,[],[refute_0_5639:[bind(X_397,$fot(one))]]) ).
cnf(refute_0_5641,plain,
( converse(composition(X_398,join(converse(X_396),one))) != converse(composition(X_398,join(one,converse(X_396))))
| converse(composition(X_398,join(one,converse(X_396)))) != composition(join(one,X_396),converse(X_398))
| converse(composition(X_398,join(converse(X_396),one))) = composition(join(one,X_396),converse(X_398)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(composition(X_398,join(converse(X_396),one))))),bind(Y,$fot(converse(composition(X_398,join(one,converse(X_396)))))),bind(Z,$fot(composition(join(one,X_396),converse(X_398))))]]) ).
cnf(refute_0_5642,plain,
( converse(composition(X_398,join(one,converse(X_396)))) != composition(join(one,X_396),converse(X_398))
| converse(composition(X_398,join(converse(X_396),one))) = composition(join(one,X_396),converse(X_398)) ),
inference(resolve,[$cnf( $equal(converse(composition(X_398,join(converse(X_396),one))),converse(composition(X_398,join(one,converse(X_396))))) )],[refute_0_5640,refute_0_5641]) ).
cnf(refute_0_5643,plain,
converse(composition(X_398,join(converse(X_396),one))) = composition(join(one,X_396),converse(X_398)),
inference(resolve,[$cnf( $equal(converse(composition(X_398,join(one,converse(X_396)))),composition(join(one,X_396),converse(X_398))) )],[refute_0_5624,refute_0_5642]) ).
cnf(refute_0_5644,plain,
( converse(composition(X_398,join(converse(X_396),one))) != composition(join(X_396,one),converse(X_398))
| converse(composition(X_398,join(converse(X_396),one))) != composition(join(one,X_396),converse(X_398))
| composition(join(one,X_396),converse(X_398)) = composition(join(X_396,one),converse(X_398)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_398,join(converse(X_396),one))),composition(join(X_396,one),converse(X_398))) ),[0],$fot(composition(join(one,X_396),converse(X_398)))]]) ).
cnf(refute_0_5645,plain,
( converse(composition(X_398,join(converse(X_396),one))) != composition(join(X_396,one),converse(X_398))
| composition(join(one,X_396),converse(X_398)) = composition(join(X_396,one),converse(X_398)) ),
inference(resolve,[$cnf( $equal(converse(composition(X_398,join(converse(X_396),one))),composition(join(one,X_396),converse(X_398))) )],[refute_0_5643,refute_0_5644]) ).
cnf(refute_0_5646,plain,
composition(join(one,X_396),converse(X_398)) = composition(join(X_396,one),converse(X_398)),
inference(resolve,[$cnf( $equal(converse(composition(X_398,join(converse(X_396),one))),composition(join(X_396,one),converse(X_398))) )],[refute_0_5611,refute_0_5645]) ).
cnf(refute_0_5647,plain,
( composition(join(one,X_396),converse(X_398)) != composition(join(X_396,one),converse(X_398))
| composition(join(X_396,one),converse(X_398)) = composition(join(one,X_396),converse(X_398)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(one,X_396),converse(X_398)))),bind(Y,$fot(composition(join(X_396,one),converse(X_398))))]]) ).
cnf(refute_0_5648,plain,
composition(join(X_396,one),converse(X_398)) = composition(join(one,X_396),converse(X_398)),
inference(resolve,[$cnf( $equal(composition(join(one,X_396),converse(X_398)),composition(join(X_396,one),converse(X_398))) )],[refute_0_5646,refute_0_5647]) ).
cnf(refute_0_5649,plain,
composition(join(complement(sk1),one),converse(sk1)) = composition(join(one,complement(sk1)),converse(sk1)),
inference(subst,[],[refute_0_5648:[bind(X_396,$fot(complement(sk1))),bind(X_398,$fot(sk1))]]) ).
cnf(refute_0_5650,plain,
composition(join(X_209,one),X_211) = join(composition(X_209,X_211),composition(one,X_211)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_209)),bind(B,$fot(one)),bind(C,$fot(X_211))]]) ).
cnf(refute_0_5651,plain,
composition(one,X_211) = X_211,
inference(subst,[],[refute_0_79:[bind(X_46,$fot(X_211))]]) ).
cnf(refute_0_5652,plain,
( composition(join(X_209,one),X_211) != join(composition(X_209,X_211),composition(one,X_211))
| composition(one,X_211) != X_211
| composition(join(X_209,one),X_211) = join(composition(X_209,X_211),X_211) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_209,one),X_211),join(composition(X_209,X_211),composition(one,X_211))) ),[1,1],$fot(X_211)]]) ).
cnf(refute_0_5653,plain,
( composition(join(X_209,one),X_211) != join(composition(X_209,X_211),composition(one,X_211))
| composition(join(X_209,one),X_211) = join(composition(X_209,X_211),X_211) ),
inference(resolve,[$cnf( $equal(composition(one,X_211),X_211) )],[refute_0_5651,refute_0_5652]) ).
cnf(refute_0_5654,plain,
composition(join(X_209,one),X_211) = join(composition(X_209,X_211),X_211),
inference(resolve,[$cnf( $equal(composition(join(X_209,one),X_211),join(composition(X_209,X_211),composition(one,X_211))) )],[refute_0_5650,refute_0_5653]) ).
cnf(refute_0_5655,plain,
join(composition(X_209,X_211),X_211) = join(X_211,composition(X_209,X_211)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_211)),bind(B,$fot(composition(X_209,X_211)))]]) ).
cnf(refute_0_5656,plain,
( composition(join(X_209,one),X_211) != join(composition(X_209,X_211),X_211)
| join(composition(X_209,X_211),X_211) != join(X_211,composition(X_209,X_211))
| composition(join(X_209,one),X_211) = join(X_211,composition(X_209,X_211)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_209,one),X_211),join(X_211,composition(X_209,X_211))) ),[0],$fot(join(composition(X_209,X_211),X_211))]]) ).
cnf(refute_0_5657,plain,
( composition(join(X_209,one),X_211) != join(composition(X_209,X_211),X_211)
| composition(join(X_209,one),X_211) = join(X_211,composition(X_209,X_211)) ),
inference(resolve,[$cnf( $equal(join(composition(X_209,X_211),X_211),join(X_211,composition(X_209,X_211))) )],[refute_0_5655,refute_0_5656]) ).
cnf(refute_0_5658,plain,
composition(join(X_209,one),X_211) = join(X_211,composition(X_209,X_211)),
inference(resolve,[$cnf( $equal(composition(join(X_209,one),X_211),join(composition(X_209,X_211),X_211)) )],[refute_0_5654,refute_0_5657]) ).
cnf(refute_0_5659,plain,
( composition(join(X_209,one),X_211) != join(X_211,composition(X_209,X_211))
| join(X_211,composition(X_209,X_211)) = composition(join(X_209,one),X_211) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_209,one),X_211))),bind(Y,$fot(join(X_211,composition(X_209,X_211))))]]) ).
cnf(refute_0_5660,plain,
join(X_211,composition(X_209,X_211)) = composition(join(X_209,one),X_211),
inference(resolve,[$cnf( $equal(composition(join(X_209,one),X_211),join(X_211,composition(X_209,X_211))) )],[refute_0_5658,refute_0_5659]) ).
cnf(refute_0_5661,plain,
join(converse(sk1),composition(complement(sk1),converse(sk1))) = composition(join(complement(sk1),one),converse(sk1)),
inference(subst,[],[refute_0_5660:[bind(X_209,$fot(complement(sk1))),bind(X_211,$fot(converse(sk1)))]]) ).
cnf(refute_0_5662,plain,
( composition(join(complement(sk1),one),converse(sk1)) != composition(join(one,complement(sk1)),converse(sk1))
| join(converse(sk1),composition(complement(sk1),converse(sk1))) != composition(join(complement(sk1),one),converse(sk1))
| join(converse(sk1),composition(complement(sk1),converse(sk1))) = composition(join(one,complement(sk1)),converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),composition(complement(sk1),converse(sk1))))),bind(Y,$fot(composition(join(complement(sk1),one),converse(sk1)))),bind(Z,$fot(composition(join(one,complement(sk1)),converse(sk1))))]]) ).
cnf(refute_0_5663,plain,
( composition(join(complement(sk1),one),converse(sk1)) != composition(join(one,complement(sk1)),converse(sk1))
| join(converse(sk1),composition(complement(sk1),converse(sk1))) = composition(join(one,complement(sk1)),converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),composition(complement(sk1),converse(sk1))),composition(join(complement(sk1),one),converse(sk1))) )],[refute_0_5661,refute_0_5662]) ).
cnf(refute_0_5664,plain,
join(converse(sk1),composition(complement(sk1),converse(sk1))) = composition(join(one,complement(sk1)),converse(sk1)),
inference(resolve,[$cnf( $equal(composition(join(complement(sk1),one),converse(sk1)),composition(join(one,complement(sk1)),converse(sk1))) )],[refute_0_5649,refute_0_5663]) ).
cnf(refute_0_5665,plain,
( composition(join(one,complement(sk1)),converse(sk1)) != converse(composition(sk1,top))
| join(converse(sk1),composition(complement(sk1),converse(sk1))) != composition(join(one,complement(sk1)),converse(sk1))
| join(converse(sk1),composition(complement(sk1),converse(sk1))) = converse(composition(sk1,top)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),composition(complement(sk1),converse(sk1))))),bind(Y,$fot(composition(join(one,complement(sk1)),converse(sk1)))),bind(Z,$fot(converse(composition(sk1,top))))]]) ).
cnf(refute_0_5666,plain,
( composition(join(one,complement(sk1)),converse(sk1)) != converse(composition(sk1,top))
| join(converse(sk1),composition(complement(sk1),converse(sk1))) = converse(composition(sk1,top)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),composition(complement(sk1),converse(sk1))),composition(join(one,complement(sk1)),converse(sk1))) )],[refute_0_5664,refute_0_5665]) ).
cnf(refute_0_5667,plain,
join(converse(sk1),composition(complement(sk1),converse(sk1))) = converse(composition(sk1,top)),
inference(resolve,[$cnf( $equal(composition(join(one,complement(sk1)),converse(sk1)),converse(composition(sk1,top))) )],[refute_0_5603,refute_0_5666]) ).
cnf(refute_0_5668,plain,
complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))) = complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))),
introduced(tautology,[refl,[$fot(complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_5669,plain,
( complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))) != complement(join(converse(sk1),composition(complement(sk1),converse(sk1))))
| join(converse(sk1),composition(complement(sk1),converse(sk1))) != converse(composition(sk1,top))
| complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))) = complement(converse(composition(sk1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))),complement(join(converse(sk1),composition(complement(sk1),converse(sk1))))) ),[1,0],$fot(converse(composition(sk1,top)))]]) ).
cnf(refute_0_5670,plain,
( join(converse(sk1),composition(complement(sk1),converse(sk1))) != converse(composition(sk1,top))
| complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))) = complement(converse(composition(sk1,top))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))),complement(join(converse(sk1),composition(complement(sk1),converse(sk1))))) )],[refute_0_5668,refute_0_5669]) ).
cnf(refute_0_5671,plain,
complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))) = complement(converse(composition(sk1,top))),
inference(resolve,[$cnf( $equal(join(converse(sk1),composition(complement(sk1),converse(sk1))),converse(composition(sk1,top))) )],[refute_0_5667,refute_0_5670]) ).
cnf(refute_0_5672,plain,
meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))) = complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(composition(complement(sk1),converse(sk1)))),bind(X_97,$fot(converse(sk1)))]]) ).
cnf(refute_0_5673,plain,
( complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))) != complement(converse(composition(sk1,top)))
| meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))) != complement(join(converse(sk1),composition(complement(sk1),converse(sk1))))
| meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))) = complement(converse(composition(sk1,top))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))))),bind(Y,$fot(complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))))),bind(Z,$fot(complement(converse(composition(sk1,top)))))]]) ).
cnf(refute_0_5674,plain,
( complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))) != complement(converse(composition(sk1,top)))
| meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))) = complement(converse(composition(sk1,top))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))),complement(join(converse(sk1),composition(complement(sk1),converse(sk1))))) )],[refute_0_5672,refute_0_5673]) ).
cnf(refute_0_5675,plain,
meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))) = complement(converse(composition(sk1,top))),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),composition(complement(sk1),converse(sk1)))),complement(converse(composition(sk1,top)))) )],[refute_0_5671,refute_0_5674]) ).
cnf(refute_0_5676,plain,
join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))) = join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))),
introduced(tautology,[refl,[$fot(join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_5677,plain,
( join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))) != join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))))
| meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))) != complement(converse(composition(sk1,top)))
| join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))) = join(converse(sk1),complement(converse(composition(sk1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))),join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))))) ),[1,1],$fot(complement(converse(composition(sk1,top))))]]) ).
cnf(refute_0_5678,plain,
( meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))) != complement(converse(composition(sk1,top)))
| join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))) = join(converse(sk1),complement(converse(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))),join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))))) )],[refute_0_5676,refute_0_5677]) ).
cnf(refute_0_5679,plain,
join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))) = join(converse(sk1),complement(converse(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))),complement(converse(composition(sk1,top)))) )],[refute_0_5675,refute_0_5678]) ).
cnf(refute_0_5680,plain,
( complement(composition(complement(sk1),converse(sk1))) != join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))))
| join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))) != join(converse(sk1),complement(converse(composition(sk1,top))))
| complement(composition(complement(sk1),converse(sk1))) = join(converse(sk1),complement(converse(composition(sk1,top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(sk1),converse(sk1))),join(converse(sk1),complement(converse(composition(sk1,top))))) ),[0],$fot(join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_5681,plain,
( complement(composition(complement(sk1),converse(sk1))) != join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))))
| complement(composition(complement(sk1),converse(sk1))) = join(converse(sk1),complement(converse(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1))))),join(converse(sk1),complement(converse(composition(sk1,top))))) )],[refute_0_5679,refute_0_5680]) ).
cnf(refute_0_5682,plain,
complement(composition(complement(sk1),converse(sk1))) = join(converse(sk1),complement(converse(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),join(converse(sk1),meet(complement(converse(sk1)),complement(composition(complement(sk1),converse(sk1)))))) )],[refute_0_5593,refute_0_5681]) ).
cnf(refute_0_5683,plain,
converse(join(A,complement(X_545))) = join(converse(A),converse(complement(X_545))),
inference(subst,[],[converse_additivity_9:[bind(B,$fot(complement(X_545)))]]) ).
cnf(refute_0_5684,plain,
complement(converse(X_545)) = converse(complement(X_545)),
inference(subst,[],[refute_0_4746:[bind(X_544,$fot(X_545))]]) ).
cnf(refute_0_5685,plain,
( complement(converse(X_545)) != converse(complement(X_545))
| converse(complement(X_545)) = complement(converse(X_545)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(X_545)))),bind(Y,$fot(converse(complement(X_545))))]]) ).
cnf(refute_0_5686,plain,
converse(complement(X_545)) = complement(converse(X_545)),
inference(resolve,[$cnf( $equal(complement(converse(X_545)),converse(complement(X_545))) )],[refute_0_5684,refute_0_5685]) ).
cnf(refute_0_5687,plain,
( converse(complement(X_545)) != complement(converse(X_545))
| converse(join(A,complement(X_545))) != join(converse(A),converse(complement(X_545)))
| converse(join(A,complement(X_545))) = join(converse(A),complement(converse(X_545))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(A,complement(X_545))),join(converse(A),converse(complement(X_545)))) ),[1,1],$fot(complement(converse(X_545)))]]) ).
cnf(refute_0_5688,plain,
( converse(join(A,complement(X_545))) != join(converse(A),converse(complement(X_545)))
| converse(join(A,complement(X_545))) = join(converse(A),complement(converse(X_545))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_545)),complement(converse(X_545))) )],[refute_0_5686,refute_0_5687]) ).
cnf(refute_0_5689,plain,
converse(join(A,complement(X_545))) = join(converse(A),complement(converse(X_545))),
inference(resolve,[$cnf( $equal(converse(join(A,complement(X_545))),join(converse(A),converse(complement(X_545)))) )],[refute_0_5683,refute_0_5688]) ).
cnf(refute_0_5690,plain,
( converse(join(A,complement(X_545))) != join(converse(A),complement(converse(X_545)))
| join(converse(A),complement(converse(X_545))) = converse(join(A,complement(X_545))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(A,complement(X_545))))),bind(Y,$fot(join(converse(A),complement(converse(X_545)))))]]) ).
cnf(refute_0_5691,plain,
join(converse(A),complement(converse(X_545))) = converse(join(A,complement(X_545))),
inference(resolve,[$cnf( $equal(converse(join(A,complement(X_545))),join(converse(A),complement(converse(X_545)))) )],[refute_0_5689,refute_0_5690]) ).
cnf(refute_0_5692,plain,
join(converse(sk1),complement(converse(composition(sk1,top)))) = converse(join(sk1,complement(composition(sk1,top)))),
inference(subst,[],[refute_0_5691:[bind(A,$fot(sk1)),bind(X_545,$fot(composition(sk1,top)))]]) ).
cnf(refute_0_5693,plain,
( complement(composition(complement(sk1),converse(sk1))) != join(converse(sk1),complement(converse(composition(sk1,top))))
| join(converse(sk1),complement(converse(composition(sk1,top)))) != converse(join(sk1,complement(composition(sk1,top))))
| complement(composition(complement(sk1),converse(sk1))) = converse(join(sk1,complement(composition(sk1,top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(sk1),converse(sk1))),converse(join(sk1,complement(composition(sk1,top))))) ),[0],$fot(join(converse(sk1),complement(converse(composition(sk1,top)))))]]) ).
cnf(refute_0_5694,plain,
( complement(composition(complement(sk1),converse(sk1))) != join(converse(sk1),complement(converse(composition(sk1,top))))
| complement(composition(complement(sk1),converse(sk1))) = converse(join(sk1,complement(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(converse(composition(sk1,top)))),converse(join(sk1,complement(composition(sk1,top))))) )],[refute_0_5692,refute_0_5693]) ).
cnf(refute_0_5695,plain,
complement(composition(complement(sk1),converse(sk1))) = converse(join(sk1,complement(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),join(converse(sk1),complement(converse(composition(sk1,top))))) )],[refute_0_5682,refute_0_5694]) ).
cnf(refute_0_5696,plain,
( complement(composition(complement(sk1),converse(sk1))) != converse(join(sk1,complement(composition(sk1,top))))
| converse(join(sk1,complement(composition(sk1,top)))) = complement(composition(complement(sk1),converse(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(complement(sk1),converse(sk1))))),bind(Y,$fot(converse(join(sk1,complement(composition(sk1,top))))))]]) ).
cnf(refute_0_5697,plain,
converse(join(sk1,complement(composition(sk1,top)))) = complement(composition(complement(sk1),converse(sk1))),
inference(resolve,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),converse(join(sk1,complement(composition(sk1,top))))) )],[refute_0_5695,refute_0_5696]) ).
cnf(refute_0_5698,plain,
( converse(join(sk1,complement(composition(sk1,top)))) != complement(composition(complement(sk1),converse(sk1)))
| join(converse(sk1),complement(converse(composition(sk1,top)))) != converse(join(sk1,complement(composition(sk1,top))))
| join(converse(sk1),complement(converse(composition(sk1,top)))) = complement(composition(complement(sk1),converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),complement(converse(composition(sk1,top)))))),bind(Y,$fot(converse(join(sk1,complement(composition(sk1,top)))))),bind(Z,$fot(complement(composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_5699,plain,
( converse(join(sk1,complement(composition(sk1,top)))) != complement(composition(complement(sk1),converse(sk1)))
| join(converse(sk1),complement(converse(composition(sk1,top)))) = complement(composition(complement(sk1),converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(converse(composition(sk1,top)))),converse(join(sk1,complement(composition(sk1,top))))) )],[refute_0_5692,refute_0_5698]) ).
cnf(refute_0_5700,plain,
join(converse(sk1),complement(converse(composition(sk1,top)))) = complement(composition(complement(sk1),converse(sk1))),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(composition(sk1,top)))),complement(composition(complement(sk1),converse(sk1)))) )],[refute_0_5697,refute_0_5699]) ).
cnf(refute_0_5701,plain,
composition(sk1,join(one,complement(sk1))) = composition(sk1,join(one,complement(sk1))),
introduced(tautology,[refl,[$fot(composition(sk1,join(one,complement(sk1))))]]) ).
cnf(refute_0_5702,plain,
( composition(sk1,join(one,complement(sk1))) != composition(sk1,join(one,complement(sk1)))
| join(one,complement(sk1)) != top
| composition(sk1,join(one,complement(sk1))) = composition(sk1,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(sk1,join(one,complement(sk1))),composition(sk1,join(one,complement(sk1)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5703,plain,
( join(one,complement(sk1)) != top
| composition(sk1,join(one,complement(sk1))) = composition(sk1,top) ),
inference(resolve,[$cnf( $equal(composition(sk1,join(one,complement(sk1))),composition(sk1,join(one,complement(sk1)))) )],[refute_0_5701,refute_0_5702]) ).
cnf(refute_0_5704,plain,
composition(sk1,join(one,complement(sk1))) = composition(sk1,top),
inference(resolve,[$cnf( $equal(join(one,complement(sk1)),top) )],[refute_0_908,refute_0_5703]) ).
cnf(refute_0_5705,plain,
converse(composition(sk1,join(one,complement(sk1)))) = converse(composition(sk1,join(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(converse(composition(sk1,join(one,complement(sk1)))))]]) ).
cnf(refute_0_5706,plain,
( composition(sk1,join(one,complement(sk1))) != composition(sk1,top)
| converse(composition(sk1,join(one,complement(sk1)))) != converse(composition(sk1,join(one,complement(sk1))))
| converse(composition(sk1,join(one,complement(sk1)))) = converse(composition(sk1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(sk1,join(one,complement(sk1)))),converse(composition(sk1,join(one,complement(sk1))))) ),[1,0],$fot(composition(sk1,top))]]) ).
cnf(refute_0_5707,plain,
( composition(sk1,join(one,complement(sk1))) != composition(sk1,top)
| converse(composition(sk1,join(one,complement(sk1)))) = converse(composition(sk1,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(sk1,join(one,complement(sk1)))),converse(composition(sk1,join(one,complement(sk1))))) )],[refute_0_5705,refute_0_5706]) ).
cnf(refute_0_5708,plain,
converse(composition(sk1,join(one,complement(sk1)))) = converse(composition(sk1,top)),
inference(resolve,[$cnf( $equal(composition(sk1,join(one,complement(sk1))),composition(sk1,top)) )],[refute_0_5704,refute_0_5707]) ).
cnf(refute_0_5709,plain,
composition(join(converse(B),one),converse(A)) = join(converse(A),composition(converse(B),converse(A))),
inference(subst,[],[refute_0_5658:[bind(X_209,$fot(converse(B))),bind(X_211,$fot(converse(A)))]]) ).
cnf(refute_0_5710,plain,
( composition(converse(B),converse(A)) != converse(composition(A,B))
| composition(join(converse(B),one),converse(A)) != join(converse(A),composition(converse(B),converse(A)))
| composition(join(converse(B),one),converse(A)) = join(converse(A),converse(composition(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(B),one),converse(A)),join(converse(A),composition(converse(B),converse(A)))) ),[1,1],$fot(converse(composition(A,B)))]]) ).
cnf(refute_0_5711,plain,
( composition(join(converse(B),one),converse(A)) != join(converse(A),composition(converse(B),converse(A)))
| composition(join(converse(B),one),converse(A)) = join(converse(A),converse(composition(A,B))) ),
inference(resolve,[$cnf( $equal(composition(converse(B),converse(A)),converse(composition(A,B))) )],[refute_0_1941,refute_0_5710]) ).
cnf(refute_0_5712,plain,
composition(join(converse(B),one),converse(A)) = join(converse(A),converse(composition(A,B))),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),converse(A)),join(converse(A),composition(converse(B),converse(A)))) )],[refute_0_5709,refute_0_5711]) ).
cnf(refute_0_5713,plain,
join(converse(one),B) = join(converse(one),B),
introduced(tautology,[refl,[$fot(join(converse(one),B))]]) ).
cnf(refute_0_5714,plain,
( converse(one) != one
| join(converse(one),B) != join(converse(one),B)
| join(converse(one),B) = join(one,B) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),B),join(converse(one),B)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5715,plain,
( converse(one) != one
| join(converse(one),B) = join(one,B) ),
inference(resolve,[$cnf( $equal(join(converse(one),B),join(converse(one),B)) )],[refute_0_5713,refute_0_5714]) ).
cnf(refute_0_5716,plain,
join(converse(one),B) = join(one,B),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_5715]) ).
cnf(refute_0_5717,plain,
composition(A,join(converse(one),B)) = composition(A,join(converse(one),B)),
introduced(tautology,[refl,[$fot(composition(A,join(converse(one),B)))]]) ).
cnf(refute_0_5718,plain,
( composition(A,join(converse(one),B)) != composition(A,join(converse(one),B))
| join(converse(one),B) != join(one,B)
| composition(A,join(converse(one),B)) = composition(A,join(one,B)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(A,join(converse(one),B)),composition(A,join(converse(one),B))) ),[1,1],$fot(join(one,B))]]) ).
cnf(refute_0_5719,plain,
( join(converse(one),B) != join(one,B)
| composition(A,join(converse(one),B)) = composition(A,join(one,B)) ),
inference(resolve,[$cnf( $equal(composition(A,join(converse(one),B)),composition(A,join(converse(one),B))) )],[refute_0_5717,refute_0_5718]) ).
cnf(refute_0_5720,plain,
composition(A,join(converse(one),B)) = composition(A,join(one,B)),
inference(resolve,[$cnf( $equal(join(converse(one),B),join(one,B)) )],[refute_0_5716,refute_0_5719]) ).
cnf(refute_0_5721,plain,
converse(composition(A,join(converse(one),B))) = converse(composition(A,join(converse(one),B))),
introduced(tautology,[refl,[$fot(converse(composition(A,join(converse(one),B))))]]) ).
cnf(refute_0_5722,plain,
( composition(A,join(converse(one),B)) != composition(A,join(one,B))
| converse(composition(A,join(converse(one),B))) != converse(composition(A,join(converse(one),B)))
| converse(composition(A,join(converse(one),B))) = converse(composition(A,join(one,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(A,join(converse(one),B))),converse(composition(A,join(converse(one),B)))) ),[1,0],$fot(composition(A,join(one,B)))]]) ).
cnf(refute_0_5723,plain,
( composition(A,join(converse(one),B)) != composition(A,join(one,B))
| converse(composition(A,join(converse(one),B))) = converse(composition(A,join(one,B))) ),
inference(resolve,[$cnf( $equal(converse(composition(A,join(converse(one),B))),converse(composition(A,join(converse(one),B)))) )],[refute_0_5721,refute_0_5722]) ).
cnf(refute_0_5724,plain,
converse(composition(A,join(converse(one),B))) = converse(composition(A,join(one,B))),
inference(resolve,[$cnf( $equal(composition(A,join(converse(one),B)),composition(A,join(one,B))) )],[refute_0_5720,refute_0_5723]) ).
cnf(refute_0_5725,plain,
composition(join(one,converse(B)),converse(A)) = converse(composition(A,join(converse(one),B))),
inference(subst,[],[refute_0_5633:[bind(A,$fot(one)),bind(X_12,$fot(B)),bind(X_18,$fot(A))]]) ).
cnf(refute_0_5726,plain,
composition(join(X_436,one),X_437) = join(X_437,composition(X_436,X_437)),
inference(subst,[],[refute_0_5658:[bind(X_209,$fot(X_436)),bind(X_211,$fot(X_437))]]) ).
cnf(refute_0_5727,plain,
join(one,X_436) = join(X_436,one),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(one)),bind(B,$fot(X_436))]]) ).
cnf(refute_0_5728,plain,
( join(one,X_436) != join(X_436,one)
| join(X_436,one) = join(one,X_436) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,X_436))),bind(Y,$fot(join(X_436,one)))]]) ).
cnf(refute_0_5729,plain,
join(X_436,one) = join(one,X_436),
inference(resolve,[$cnf( $equal(join(one,X_436),join(X_436,one)) )],[refute_0_5727,refute_0_5728]) ).
cnf(refute_0_5730,plain,
( composition(join(X_436,one),X_437) != join(X_437,composition(X_436,X_437))
| join(X_436,one) != join(one,X_436)
| composition(join(one,X_436),X_437) = join(X_437,composition(X_436,X_437)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_436,one),X_437),join(X_437,composition(X_436,X_437))) ),[0,0],$fot(join(one,X_436))]]) ).
cnf(refute_0_5731,plain,
( composition(join(X_436,one),X_437) != join(X_437,composition(X_436,X_437))
| composition(join(one,X_436),X_437) = join(X_437,composition(X_436,X_437)) ),
inference(resolve,[$cnf( $equal(join(X_436,one),join(one,X_436)) )],[refute_0_5729,refute_0_5730]) ).
cnf(refute_0_5732,plain,
composition(join(one,X_436),X_437) = join(X_437,composition(X_436,X_437)),
inference(resolve,[$cnf( $equal(composition(join(X_436,one),X_437),join(X_437,composition(X_436,X_437))) )],[refute_0_5726,refute_0_5731]) ).
cnf(refute_0_5733,plain,
join(X_437,composition(X_436,X_437)) = composition(join(X_436,one),X_437),
inference(subst,[],[refute_0_5660:[bind(X_209,$fot(X_436)),bind(X_211,$fot(X_437))]]) ).
cnf(refute_0_5734,plain,
( composition(join(one,X_436),X_437) != join(X_437,composition(X_436,X_437))
| join(X_437,composition(X_436,X_437)) != composition(join(X_436,one),X_437)
| composition(join(one,X_436),X_437) = composition(join(X_436,one),X_437) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_436),X_437),composition(join(X_436,one),X_437)) ),[0],$fot(join(X_437,composition(X_436,X_437)))]]) ).
cnf(refute_0_5735,plain,
( composition(join(one,X_436),X_437) != join(X_437,composition(X_436,X_437))
| composition(join(one,X_436),X_437) = composition(join(X_436,one),X_437) ),
inference(resolve,[$cnf( $equal(join(X_437,composition(X_436,X_437)),composition(join(X_436,one),X_437)) )],[refute_0_5733,refute_0_5734]) ).
cnf(refute_0_5736,plain,
composition(join(one,X_436),X_437) = composition(join(X_436,one),X_437),
inference(resolve,[$cnf( $equal(composition(join(one,X_436),X_437),join(X_437,composition(X_436,X_437))) )],[refute_0_5732,refute_0_5735]) ).
cnf(refute_0_5737,plain,
( composition(join(one,X_436),X_437) != composition(join(X_436,one),X_437)
| composition(join(X_436,one),X_437) = composition(join(one,X_436),X_437) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(one,X_436),X_437))),bind(Y,$fot(composition(join(X_436,one),X_437)))]]) ).
cnf(refute_0_5738,plain,
composition(join(X_436,one),X_437) = composition(join(one,X_436),X_437),
inference(resolve,[$cnf( $equal(composition(join(one,X_436),X_437),composition(join(X_436,one),X_437)) )],[refute_0_5736,refute_0_5737]) ).
cnf(refute_0_5739,plain,
composition(join(converse(B),one),converse(A)) = composition(join(one,converse(B)),converse(A)),
inference(subst,[],[refute_0_5738:[bind(X_436,$fot(converse(B))),bind(X_437,$fot(converse(A)))]]) ).
cnf(refute_0_5740,plain,
( composition(join(converse(B),one),converse(A)) != composition(join(one,converse(B)),converse(A))
| composition(join(one,converse(B)),converse(A)) != converse(composition(A,join(converse(one),B)))
| composition(join(converse(B),one),converse(A)) = converse(composition(A,join(converse(one),B))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(join(converse(B),one),converse(A)))),bind(Y,$fot(composition(join(one,converse(B)),converse(A)))),bind(Z,$fot(converse(composition(A,join(converse(one),B)))))]]) ).
cnf(refute_0_5741,plain,
( composition(join(one,converse(B)),converse(A)) != converse(composition(A,join(converse(one),B)))
| composition(join(converse(B),one),converse(A)) = converse(composition(A,join(converse(one),B))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),converse(A)),composition(join(one,converse(B)),converse(A))) )],[refute_0_5739,refute_0_5740]) ).
cnf(refute_0_5742,plain,
composition(join(converse(B),one),converse(A)) = converse(composition(A,join(converse(one),B))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(B)),converse(A)),converse(composition(A,join(converse(one),B)))) )],[refute_0_5725,refute_0_5741]) ).
cnf(refute_0_5743,plain,
( composition(join(converse(B),one),converse(A)) != converse(composition(A,join(converse(one),B)))
| converse(composition(A,join(converse(one),B))) != converse(composition(A,join(one,B)))
| composition(join(converse(B),one),converse(A)) = converse(composition(A,join(one,B))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(join(converse(B),one),converse(A)))),bind(Y,$fot(converse(composition(A,join(converse(one),B))))),bind(Z,$fot(converse(composition(A,join(one,B)))))]]) ).
cnf(refute_0_5744,plain,
( converse(composition(A,join(converse(one),B))) != converse(composition(A,join(one,B)))
| composition(join(converse(B),one),converse(A)) = converse(composition(A,join(one,B))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),converse(A)),converse(composition(A,join(converse(one),B)))) )],[refute_0_5742,refute_0_5743]) ).
cnf(refute_0_5745,plain,
composition(join(converse(B),one),converse(A)) = converse(composition(A,join(one,B))),
inference(resolve,[$cnf( $equal(converse(composition(A,join(converse(one),B))),converse(composition(A,join(one,B)))) )],[refute_0_5724,refute_0_5744]) ).
cnf(refute_0_5746,plain,
( composition(join(converse(B),one),converse(A)) != converse(composition(A,join(one,B)))
| composition(join(converse(B),one),converse(A)) != join(converse(A),converse(composition(A,B)))
| converse(composition(A,join(one,B))) = join(converse(A),converse(composition(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(B),one),converse(A)),join(converse(A),converse(composition(A,B)))) ),[0],$fot(converse(composition(A,join(one,B))))]]) ).
cnf(refute_0_5747,plain,
( composition(join(converse(B),one),converse(A)) != join(converse(A),converse(composition(A,B)))
| converse(composition(A,join(one,B))) = join(converse(A),converse(composition(A,B))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),converse(A)),converse(composition(A,join(one,B)))) )],[refute_0_5745,refute_0_5746]) ).
cnf(refute_0_5748,plain,
join(converse(A),converse(composition(A,B))) = converse(join(A,composition(A,B))),
inference(subst,[],[refute_0_849:[bind(B,$fot(composition(A,B)))]]) ).
cnf(refute_0_5749,plain,
( converse(composition(A,join(one,B))) != join(converse(A),converse(composition(A,B)))
| join(converse(A),converse(composition(A,B))) != converse(join(A,composition(A,B)))
| converse(composition(A,join(one,B))) = converse(join(A,composition(A,B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(A,join(one,B))),converse(join(A,composition(A,B)))) ),[0],$fot(join(converse(A),converse(composition(A,B))))]]) ).
cnf(refute_0_5750,plain,
( converse(composition(A,join(one,B))) != join(converse(A),converse(composition(A,B)))
| converse(composition(A,join(one,B))) = converse(join(A,composition(A,B))) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(composition(A,B))),converse(join(A,composition(A,B)))) )],[refute_0_5748,refute_0_5749]) ).
cnf(refute_0_5751,plain,
( composition(join(converse(B),one),converse(A)) != join(converse(A),converse(composition(A,B)))
| converse(composition(A,join(one,B))) = converse(join(A,composition(A,B))) ),
inference(resolve,[$cnf( $equal(converse(composition(A,join(one,B))),join(converse(A),converse(composition(A,B)))) )],[refute_0_5747,refute_0_5750]) ).
cnf(refute_0_5752,plain,
converse(composition(A,join(one,B))) = converse(join(A,composition(A,B))),
inference(resolve,[$cnf( $equal(composition(join(converse(B),one),converse(A)),join(converse(A),converse(composition(A,B)))) )],[refute_0_5712,refute_0_5751]) ).
cnf(refute_0_5753,plain,
( converse(composition(A,join(one,B))) != converse(join(A,composition(A,B)))
| converse(join(A,composition(A,B))) = converse(composition(A,join(one,B))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(A,join(one,B))))),bind(Y,$fot(converse(join(A,composition(A,B)))))]]) ).
cnf(refute_0_5754,plain,
converse(join(A,composition(A,B))) = converse(composition(A,join(one,B))),
inference(resolve,[$cnf( $equal(converse(composition(A,join(one,B))),converse(join(A,composition(A,B)))) )],[refute_0_5752,refute_0_5753]) ).
cnf(refute_0_5755,plain,
converse(join(sk1,composition(sk1,complement(sk1)))) = converse(composition(sk1,join(one,complement(sk1)))),
inference(subst,[],[refute_0_5754:[bind(A,$fot(sk1)),bind(B,$fot(complement(sk1)))]]) ).
cnf(refute_0_5756,plain,
join(converse(sk1),converse(composition(sk1,complement(sk1)))) = converse(join(sk1,composition(sk1,complement(sk1)))),
inference(subst,[],[refute_0_849:[bind(A,$fot(sk1)),bind(B,$fot(composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_5757,plain,
( converse(join(sk1,composition(sk1,complement(sk1)))) != converse(composition(sk1,join(one,complement(sk1))))
| join(converse(sk1),converse(composition(sk1,complement(sk1)))) != converse(join(sk1,composition(sk1,complement(sk1))))
| join(converse(sk1),converse(composition(sk1,complement(sk1)))) = converse(composition(sk1,join(one,complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),converse(composition(sk1,complement(sk1)))))),bind(Y,$fot(converse(join(sk1,composition(sk1,complement(sk1)))))),bind(Z,$fot(converse(composition(sk1,join(one,complement(sk1))))))]]) ).
cnf(refute_0_5758,plain,
( converse(join(sk1,composition(sk1,complement(sk1)))) != converse(composition(sk1,join(one,complement(sk1))))
| join(converse(sk1),converse(composition(sk1,complement(sk1)))) = converse(composition(sk1,join(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(composition(sk1,complement(sk1)))),converse(join(sk1,composition(sk1,complement(sk1))))) )],[refute_0_5756,refute_0_5757]) ).
cnf(refute_0_5759,plain,
join(converse(sk1),converse(composition(sk1,complement(sk1)))) = converse(composition(sk1,join(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(join(sk1,composition(sk1,complement(sk1)))),converse(composition(sk1,join(one,complement(sk1))))) )],[refute_0_5755,refute_0_5758]) ).
cnf(refute_0_5760,plain,
( converse(composition(sk1,join(one,complement(sk1)))) != converse(composition(sk1,top))
| join(converse(sk1),converse(composition(sk1,complement(sk1)))) != converse(composition(sk1,join(one,complement(sk1))))
| join(converse(sk1),converse(composition(sk1,complement(sk1)))) = converse(composition(sk1,top)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),converse(composition(sk1,complement(sk1)))))),bind(Y,$fot(converse(composition(sk1,join(one,complement(sk1)))))),bind(Z,$fot(converse(composition(sk1,top))))]]) ).
cnf(refute_0_5761,plain,
( converse(composition(sk1,join(one,complement(sk1)))) != converse(composition(sk1,top))
| join(converse(sk1),converse(composition(sk1,complement(sk1)))) = converse(composition(sk1,top)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(composition(sk1,complement(sk1)))),converse(composition(sk1,join(one,complement(sk1))))) )],[refute_0_5759,refute_0_5760]) ).
cnf(refute_0_5762,plain,
join(converse(sk1),converse(composition(sk1,complement(sk1)))) = converse(composition(sk1,top)),
inference(resolve,[$cnf( $equal(converse(composition(sk1,join(one,complement(sk1)))),converse(composition(sk1,top))) )],[refute_0_5708,refute_0_5761]) ).
cnf(refute_0_5763,plain,
complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))) = complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))),
introduced(tautology,[refl,[$fot(complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_5764,plain,
( complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))) != complement(join(converse(sk1),converse(composition(sk1,complement(sk1)))))
| join(converse(sk1),converse(composition(sk1,complement(sk1)))) != converse(composition(sk1,top))
| complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))) = complement(converse(composition(sk1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))),complement(join(converse(sk1),converse(composition(sk1,complement(sk1)))))) ),[1,0],$fot(converse(composition(sk1,top)))]]) ).
cnf(refute_0_5765,plain,
( join(converse(sk1),converse(composition(sk1,complement(sk1)))) != converse(composition(sk1,top))
| complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))) = complement(converse(composition(sk1,top))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))),complement(join(converse(sk1),converse(composition(sk1,complement(sk1)))))) )],[refute_0_5763,refute_0_5764]) ).
cnf(refute_0_5766,plain,
complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))) = complement(converse(composition(sk1,top))),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(composition(sk1,complement(sk1)))),converse(composition(sk1,top))) )],[refute_0_5762,refute_0_5765]) ).
cnf(refute_0_5767,plain,
meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))) = complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(converse(composition(sk1,complement(sk1))))),bind(X_97,$fot(converse(sk1)))]]) ).
cnf(refute_0_5768,plain,
( complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))) != complement(converse(composition(sk1,top)))
| meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))) != complement(join(converse(sk1),converse(composition(sk1,complement(sk1)))))
| meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))) = complement(converse(composition(sk1,top))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))))),bind(Y,$fot(complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))))),bind(Z,$fot(complement(converse(composition(sk1,top)))))]]) ).
cnf(refute_0_5769,plain,
( complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))) != complement(converse(composition(sk1,top)))
| meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))) = complement(converse(composition(sk1,top))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))),complement(join(converse(sk1),converse(composition(sk1,complement(sk1)))))) )],[refute_0_5767,refute_0_5768]) ).
cnf(refute_0_5770,plain,
meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))) = complement(converse(composition(sk1,top))),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),converse(composition(sk1,complement(sk1))))),complement(converse(composition(sk1,top)))) )],[refute_0_5766,refute_0_5769]) ).
cnf(refute_0_5771,plain,
join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))),
introduced(tautology,[refl,[$fot(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))))]]) ).
cnf(refute_0_5772,plain,
( join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))) != join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))))
| meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))) != complement(converse(composition(sk1,top)))
| join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = join(converse(sk1),complement(converse(composition(sk1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))),join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))))) ),[1,1],$fot(complement(converse(composition(sk1,top))))]]) ).
cnf(refute_0_5773,plain,
( meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))) != complement(converse(composition(sk1,top)))
| join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = join(converse(sk1),complement(converse(composition(sk1,top)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))),join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))))) )],[refute_0_5771,refute_0_5772]) ).
cnf(refute_0_5774,plain,
join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = join(converse(sk1),complement(converse(composition(sk1,top)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))),complement(converse(composition(sk1,top)))) )],[refute_0_5770,refute_0_5773]) ).
cnf(refute_0_5775,plain,
( join(converse(sk1),complement(converse(composition(sk1,top)))) != complement(composition(complement(sk1),converse(sk1)))
| join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))) != join(converse(sk1),complement(converse(composition(sk1,top))))
| join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = complement(composition(complement(sk1),converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))))),bind(Y,$fot(join(converse(sk1),complement(converse(composition(sk1,top)))))),bind(Z,$fot(complement(composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_5776,plain,
( join(converse(sk1),complement(converse(composition(sk1,top)))) != complement(composition(complement(sk1),converse(sk1)))
| join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = complement(composition(complement(sk1),converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))),join(converse(sk1),complement(converse(composition(sk1,top))))) )],[refute_0_5774,refute_0_5775]) ).
cnf(refute_0_5777,plain,
join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = complement(composition(complement(sk1),converse(sk1))),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(converse(composition(sk1,top)))),complement(composition(complement(sk1),converse(sk1)))) )],[refute_0_5700,refute_0_5776]) ).
cnf(refute_0_5778,plain,
( complement(converse(composition(sk1,complement(sk1)))) != join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))))
| join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))) != complement(composition(complement(sk1),converse(sk1)))
| complement(converse(composition(sk1,complement(sk1)))) = complement(composition(complement(sk1),converse(sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(composition(sk1,complement(sk1)))),complement(composition(complement(sk1),converse(sk1)))) ),[0],$fot(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))))]]) ).
cnf(refute_0_5779,plain,
( complement(converse(composition(sk1,complement(sk1)))) != join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))))
| complement(converse(composition(sk1,complement(sk1)))) = complement(composition(complement(sk1),converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1)))))),complement(composition(complement(sk1),converse(sk1)))) )],[refute_0_5777,refute_0_5778]) ).
cnf(refute_0_5780,plain,
complement(converse(composition(sk1,complement(sk1)))) = complement(composition(complement(sk1),converse(sk1))),
inference(resolve,[$cnf( $equal(complement(converse(composition(sk1,complement(sk1)))),join(converse(sk1),meet(complement(converse(sk1)),complement(converse(composition(sk1,complement(sk1))))))) )],[refute_0_5553,refute_0_5779]) ).
cnf(refute_0_5781,plain,
( complement(converse(composition(sk1,complement(sk1)))) != complement(composition(complement(sk1),converse(sk1)))
| complement(composition(complement(sk1),converse(sk1))) = complement(converse(composition(sk1,complement(sk1)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(composition(sk1,complement(sk1)))))),bind(Y,$fot(complement(composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_5782,plain,
complement(composition(complement(sk1),converse(sk1))) = complement(converse(composition(sk1,complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(sk1,complement(sk1)))),complement(composition(complement(sk1),converse(sk1)))) )],[refute_0_5780,refute_0_5781]) ).
cnf(refute_0_5783,plain,
( complement(composition(complement(sk1),converse(sk1))) != complement(converse(composition(sk1,complement(sk1))))
| composition(complement(sk1),converse(sk1)) != complement(complement(composition(complement(sk1),converse(sk1))))
| composition(complement(sk1),converse(sk1)) = complement(complement(converse(composition(sk1,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(sk1),converse(sk1)),complement(complement(composition(complement(sk1),converse(sk1))))) ),[1,0],$fot(complement(converse(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_5784,plain,
( composition(complement(sk1),converse(sk1)) != complement(complement(composition(complement(sk1),converse(sk1))))
| composition(complement(sk1),converse(sk1)) = complement(complement(converse(composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),complement(converse(composition(sk1,complement(sk1))))) )],[refute_0_5782,refute_0_5783]) ).
cnf(refute_0_5785,plain,
composition(complement(sk1),converse(sk1)) = complement(complement(converse(composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(composition(complement(sk1),converse(sk1)),complement(complement(composition(complement(sk1),converse(sk1))))) )],[refute_0_5466,refute_0_5784]) ).
cnf(refute_0_5786,plain,
complement(complement(converse(composition(sk1,complement(sk1))))) = converse(composition(sk1,complement(sk1))),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(converse(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_5787,plain,
( complement(complement(converse(composition(sk1,complement(sk1))))) != converse(composition(sk1,complement(sk1)))
| composition(complement(sk1),converse(sk1)) != complement(complement(converse(composition(sk1,complement(sk1)))))
| composition(complement(sk1),converse(sk1)) = converse(composition(sk1,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(sk1),converse(sk1)),complement(complement(converse(composition(sk1,complement(sk1)))))) ),[1],$fot(converse(composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_5788,plain,
( composition(complement(sk1),converse(sk1)) != complement(complement(converse(composition(sk1,complement(sk1)))))
| composition(complement(sk1),converse(sk1)) = converse(composition(sk1,complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(sk1,complement(sk1))))),converse(composition(sk1,complement(sk1)))) )],[refute_0_5786,refute_0_5787]) ).
cnf(refute_0_5789,plain,
composition(complement(sk1),converse(sk1)) = converse(composition(sk1,complement(sk1))),
inference(resolve,[$cnf( $equal(composition(complement(sk1),converse(sk1)),complement(complement(converse(composition(sk1,complement(sk1)))))) )],[refute_0_5785,refute_0_5788]) ).
cnf(refute_0_5790,plain,
( composition(complement(sk1),converse(sk1)) != converse(composition(sk1,complement(sk1)))
| converse(composition(complement(sk1),converse(sk1))) != composition(converse(converse(sk1)),converse(complement(sk1)))
| converse(converse(composition(sk1,complement(sk1)))) = composition(converse(converse(sk1)),converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(sk1),converse(sk1))),composition(converse(converse(sk1)),converse(complement(sk1)))) ),[0,0],$fot(converse(composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_5791,plain,
( converse(composition(complement(sk1),converse(sk1))) != composition(converse(converse(sk1)),converse(complement(sk1)))
| converse(converse(composition(sk1,complement(sk1)))) = composition(converse(converse(sk1)),converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(composition(complement(sk1),converse(sk1)),converse(composition(sk1,complement(sk1)))) )],[refute_0_5789,refute_0_5790]) ).
cnf(refute_0_5792,plain,
converse(converse(composition(sk1,complement(sk1)))) = composition(converse(converse(sk1)),converse(complement(sk1))),
inference(resolve,[$cnf( $equal(converse(composition(complement(sk1),converse(sk1))),composition(converse(converse(sk1)),converse(complement(sk1)))) )],[refute_0_5465,refute_0_5791]) ).
cnf(refute_0_5793,plain,
converse(converse(composition(sk1,complement(sk1)))) = composition(sk1,complement(sk1)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_5794,plain,
( converse(converse(composition(sk1,complement(sk1)))) != composition(converse(converse(sk1)),converse(complement(sk1)))
| converse(converse(composition(sk1,complement(sk1)))) != composition(sk1,complement(sk1))
| composition(sk1,complement(sk1)) = composition(converse(converse(sk1)),converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(sk1,complement(sk1)))),composition(converse(converse(sk1)),converse(complement(sk1)))) ),[0],$fot(composition(sk1,complement(sk1)))]]) ).
cnf(refute_0_5795,plain,
( converse(converse(composition(sk1,complement(sk1)))) != composition(converse(converse(sk1)),converse(complement(sk1)))
| composition(sk1,complement(sk1)) = composition(converse(converse(sk1)),converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(sk1,complement(sk1)))),composition(sk1,complement(sk1))) )],[refute_0_5793,refute_0_5794]) ).
cnf(refute_0_5796,plain,
composition(converse(converse(sk1)),converse(complement(sk1))) = converse(composition(complement(sk1),converse(sk1))),
inference(subst,[],[refute_0_1941:[bind(A,$fot(complement(sk1))),bind(B,$fot(converse(sk1)))]]) ).
cnf(refute_0_5797,plain,
( composition(converse(converse(sk1)),converse(complement(sk1))) != converse(composition(complement(sk1),converse(sk1)))
| converse(composition(complement(sk1),converse(sk1))) != composition(sk1,converse(complement(sk1)))
| composition(converse(converse(sk1)),converse(complement(sk1))) = composition(sk1,converse(complement(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(converse(converse(sk1)),converse(complement(sk1))))),bind(Y,$fot(converse(composition(complement(sk1),converse(sk1))))),bind(Z,$fot(composition(sk1,converse(complement(sk1)))))]]) ).
cnf(refute_0_5798,plain,
( converse(composition(complement(sk1),converse(sk1))) != composition(sk1,converse(complement(sk1)))
| composition(converse(converse(sk1)),converse(complement(sk1))) = composition(sk1,converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(sk1)),converse(complement(sk1))),converse(composition(complement(sk1),converse(sk1)))) )],[refute_0_5796,refute_0_5797]) ).
cnf(refute_0_5799,plain,
composition(converse(converse(sk1)),converse(complement(sk1))) = composition(sk1,converse(complement(sk1))),
inference(resolve,[$cnf( $equal(converse(composition(complement(sk1),converse(sk1))),composition(sk1,converse(complement(sk1)))) )],[refute_0_4599,refute_0_5798]) ).
cnf(refute_0_5800,plain,
( composition(converse(converse(sk1)),converse(complement(sk1))) != composition(sk1,converse(complement(sk1)))
| composition(sk1,converse(complement(sk1))) != composition(sk1,complement(converse(sk1)))
| composition(converse(converse(sk1)),converse(complement(sk1))) = composition(sk1,complement(converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(converse(converse(sk1)),converse(complement(sk1))))),bind(Y,$fot(composition(sk1,converse(complement(sk1))))),bind(Z,$fot(composition(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_5801,plain,
( composition(sk1,converse(complement(sk1))) != composition(sk1,complement(converse(sk1)))
| composition(converse(converse(sk1)),converse(complement(sk1))) = composition(sk1,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(sk1)),converse(complement(sk1))),composition(sk1,converse(complement(sk1)))) )],[refute_0_5799,refute_0_5800]) ).
cnf(refute_0_5802,plain,
composition(converse(converse(sk1)),converse(complement(sk1))) = composition(sk1,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(composition(sk1,converse(complement(sk1))),composition(sk1,complement(converse(sk1)))) )],[refute_0_4598,refute_0_5801]) ).
cnf(refute_0_5803,plain,
( composition(converse(converse(sk1)),converse(complement(sk1))) != composition(sk1,complement(converse(sk1)))
| composition(sk1,complement(sk1)) != composition(converse(converse(sk1)),converse(complement(sk1)))
| composition(sk1,complement(sk1)) = composition(sk1,complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(sk1,complement(sk1)),composition(converse(converse(sk1)),converse(complement(sk1)))) ),[1],$fot(composition(sk1,complement(converse(sk1))))]]) ).
cnf(refute_0_5804,plain,
( composition(sk1,complement(sk1)) != composition(converse(converse(sk1)),converse(complement(sk1)))
| composition(sk1,complement(sk1)) = composition(sk1,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(sk1)),converse(complement(sk1))),composition(sk1,complement(converse(sk1)))) )],[refute_0_5802,refute_0_5803]) ).
cnf(refute_0_5805,plain,
( converse(converse(composition(sk1,complement(sk1)))) != composition(converse(converse(sk1)),converse(complement(sk1)))
| composition(sk1,complement(sk1)) = composition(sk1,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(composition(sk1,complement(sk1)),composition(converse(converse(sk1)),converse(complement(sk1)))) )],[refute_0_5795,refute_0_5804]) ).
cnf(refute_0_5806,plain,
composition(sk1,complement(sk1)) = composition(sk1,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(converse(composition(sk1,complement(sk1)))),composition(converse(converse(sk1)),converse(complement(sk1)))) )],[refute_0_5792,refute_0_5805]) ).
cnf(refute_0_5807,plain,
( composition(sk1,complement(sk1)) != composition(sk1,complement(converse(sk1)))
| composition(sk1,complement(converse(sk1))) = composition(sk1,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(sk1,complement(sk1)))),bind(Y,$fot(composition(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_5808,plain,
composition(sk1,complement(converse(sk1))) = composition(sk1,complement(sk1)),
inference(resolve,[$cnf( $equal(composition(sk1,complement(sk1)),composition(sk1,complement(converse(sk1)))) )],[refute_0_5806,refute_0_5807]) ).
cnf(refute_0_5809,plain,
join(sk1,composition(sk1,complement(converse(sk1)))) = join(sk1,composition(sk1,complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(join(sk1,composition(sk1,complement(converse(sk1)))))]]) ).
cnf(refute_0_5810,plain,
( composition(sk1,complement(converse(sk1))) != composition(sk1,complement(sk1))
| join(sk1,composition(sk1,complement(converse(sk1)))) != join(sk1,composition(sk1,complement(converse(sk1))))
| join(sk1,composition(sk1,complement(converse(sk1)))) = join(sk1,composition(sk1,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,composition(sk1,complement(converse(sk1)))),join(sk1,composition(sk1,complement(converse(sk1))))) ),[1,1],$fot(composition(sk1,complement(sk1)))]]) ).
cnf(refute_0_5811,plain,
( composition(sk1,complement(converse(sk1))) != composition(sk1,complement(sk1))
| join(sk1,composition(sk1,complement(converse(sk1)))) = join(sk1,composition(sk1,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,composition(sk1,complement(converse(sk1)))),join(sk1,composition(sk1,complement(converse(sk1))))) )],[refute_0_5809,refute_0_5810]) ).
cnf(refute_0_5812,plain,
join(sk1,composition(sk1,complement(converse(sk1)))) = join(sk1,composition(sk1,complement(sk1))),
inference(resolve,[$cnf( $equal(composition(sk1,complement(converse(sk1))),composition(sk1,complement(sk1))) )],[refute_0_5808,refute_0_5811]) ).
cnf(refute_0_5813,plain,
complement(join(sk1,composition(sk1,complement(converse(sk1))))) = complement(join(sk1,composition(sk1,complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(complement(join(sk1,composition(sk1,complement(converse(sk1))))))]]) ).
cnf(refute_0_5814,plain,
( complement(join(sk1,composition(sk1,complement(converse(sk1))))) != complement(join(sk1,composition(sk1,complement(converse(sk1)))))
| join(sk1,composition(sk1,complement(converse(sk1)))) != join(sk1,composition(sk1,complement(sk1)))
| complement(join(sk1,composition(sk1,complement(converse(sk1))))) = complement(join(sk1,composition(sk1,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,composition(sk1,complement(converse(sk1))))),complement(join(sk1,composition(sk1,complement(converse(sk1)))))) ),[1,0],$fot(join(sk1,composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_5815,plain,
( join(sk1,composition(sk1,complement(converse(sk1)))) != join(sk1,composition(sk1,complement(sk1)))
| complement(join(sk1,composition(sk1,complement(converse(sk1))))) = complement(join(sk1,composition(sk1,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,composition(sk1,complement(converse(sk1))))),complement(join(sk1,composition(sk1,complement(converse(sk1)))))) )],[refute_0_5813,refute_0_5814]) ).
cnf(refute_0_5816,plain,
complement(join(sk1,composition(sk1,complement(converse(sk1))))) = complement(join(sk1,composition(sk1,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(sk1,composition(sk1,complement(converse(sk1)))),join(sk1,composition(sk1,complement(sk1)))) )],[refute_0_5812,refute_0_5815]) ).
cnf(refute_0_5817,plain,
meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))) = meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))))]]) ).
cnf(refute_0_5818,plain,
( complement(join(sk1,composition(sk1,complement(converse(sk1))))) != complement(join(sk1,composition(sk1,complement(sk1))))
| meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))) != meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))
| meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))) = meet(one,complement(join(sk1,composition(sk1,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))),meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))) ),[1,1],$fot(complement(join(sk1,composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_5819,plain,
( complement(join(sk1,composition(sk1,complement(converse(sk1))))) != complement(join(sk1,composition(sk1,complement(sk1))))
| meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))) = meet(one,complement(join(sk1,composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))),meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))) )],[refute_0_5817,refute_0_5818]) ).
cnf(refute_0_5820,plain,
meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))) = meet(one,complement(join(sk1,composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(join(sk1,composition(sk1,complement(converse(sk1))))),complement(join(sk1,composition(sk1,complement(sk1))))) )],[refute_0_5816,refute_0_5819]) ).
cnf(refute_0_5821,plain,
( meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))) != meet(one,complement(join(sk1,composition(sk1,complement(sk1)))))
| meet(one,complement(sk1)) != meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))
| meet(one,complement(sk1)) = meet(one,complement(join(sk1,composition(sk1,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(sk1)),meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))) ),[1],$fot(meet(one,complement(join(sk1,composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_5822,plain,
( meet(one,complement(sk1)) != meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))
| meet(one,complement(sk1)) = meet(one,complement(join(sk1,composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1)))))),meet(one,complement(join(sk1,composition(sk1,complement(sk1)))))) )],[refute_0_5820,refute_0_5821]) ).
cnf(refute_0_5823,plain,
meet(one,complement(sk1)) = meet(one,complement(join(sk1,composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),meet(one,complement(join(sk1,composition(sk1,complement(converse(sk1))))))) )],[refute_0_5464,refute_0_5822]) ).
cnf(refute_0_5824,plain,
meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = complement(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_5825,plain,
complement(X_97) = meet(complement(X_97),join(X_170,complement(join(X_170,complement(complement(X_97)))))),
inference(subst,[],[refute_0_2708:[bind(X_135,$fot(X_170)),bind(X_136,$fot(complement(X_97)))]]) ).
cnf(refute_0_5826,plain,
( complement(X_97) != meet(complement(X_97),join(X_170,complement(join(X_170,complement(complement(X_97))))))
| complement(complement(X_97)) != X_97
| complement(X_97) = meet(complement(X_97),join(X_170,complement(join(X_170,X_97)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_97),meet(complement(X_97),join(X_170,complement(join(X_170,complement(complement(X_97))))))) ),[1,1,1,0,1],$fot(X_97)]]) ).
cnf(refute_0_5827,plain,
( complement(X_97) != meet(complement(X_97),join(X_170,complement(join(X_170,complement(complement(X_97))))))
| complement(X_97) = meet(complement(X_97),join(X_170,complement(join(X_170,X_97)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_5826]) ).
cnf(refute_0_5828,plain,
complement(X_97) = meet(complement(X_97),join(X_170,complement(join(X_170,X_97)))),
inference(resolve,[$cnf( $equal(complement(X_97),meet(complement(X_97),join(X_170,complement(join(X_170,complement(complement(X_97))))))) )],[refute_0_5825,refute_0_5827]) ).
cnf(refute_0_5829,plain,
complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) = meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(subst,[],[refute_0_5828:[bind(X_170,$fot(converse(sk1))),bind(X_97,$fot(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_5830,plain,
converse(complement(composition(complement(converse(sk1)),sk1))) = join(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(subst,[],[refute_0_5473:[bind(X_165,$fot(converse(sk1))),bind(X_166,$fot(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_5831,plain,
converse(sk1) = meet(converse(sk1),join(one,converse(X_12))),
inference(subst,[],[refute_0_5584:[bind(X_230,$fot(converse(X_12)))]]) ).
cnf(refute_0_5832,plain,
( converse(sk1) != meet(converse(sk1),join(one,converse(X_12)))
| join(one,converse(X_12)) != converse(join(one,X_12))
| converse(sk1) = meet(converse(sk1),converse(join(one,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),meet(converse(sk1),join(one,converse(X_12)))) ),[1,1],$fot(converse(join(one,X_12)))]]) ).
cnf(refute_0_5833,plain,
( converse(sk1) != meet(converse(sk1),join(one,converse(X_12)))
| converse(sk1) = meet(converse(sk1),converse(join(one,X_12))) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_12)),converse(join(one,X_12))) )],[refute_0_1405,refute_0_5832]) ).
cnf(refute_0_5834,plain,
converse(sk1) = meet(converse(sk1),converse(join(one,X_12))),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),join(one,converse(X_12)))) )],[refute_0_5831,refute_0_5833]) ).
cnf(refute_0_5835,plain,
converse(sk1) = meet(converse(sk1),converse(join(one,complement(join(one,composition(top,sk1)))))),
inference(subst,[],[refute_0_5834:[bind(X_12,$fot(complement(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_5836,plain,
complement(meet(complement(sk1),composition(top,sk1))) = join(complement(join(one,meet(complement(sk1),composition(top,sk1)))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)),
inference(subst,[],[refute_0_3237:[bind(X_259,$fot(one)),bind(X_97,$fot(meet(complement(sk1),composition(top,sk1))))]]) ).
cnf(refute_0_5837,plain,
join(one,join(join(A,B),sk1)) = join(one,join(A,B)),
inference(subst,[],[refute_0_727:[bind(X_34,$fot(join(A,B)))]]) ).
cnf(refute_0_5838,plain,
join(A,join(B,sk1)) = join(join(A,B),sk1),
inference(subst,[],[maddux2_join_associativity_2:[bind(C,$fot(sk1))]]) ).
cnf(refute_0_5839,plain,
( join(A,join(B,sk1)) != join(join(A,B),sk1)
| join(join(A,B),sk1) = join(A,join(B,sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(B,sk1)))),bind(Y,$fot(join(join(A,B),sk1)))]]) ).
cnf(refute_0_5840,plain,
join(join(A,B),sk1) = join(A,join(B,sk1)),
inference(resolve,[$cnf( $equal(join(A,join(B,sk1)),join(join(A,B),sk1)) )],[refute_0_5838,refute_0_5839]) ).
cnf(refute_0_5841,plain,
( join(join(A,B),sk1) != join(A,join(B,sk1))
| join(one,join(join(A,B),sk1)) != join(one,join(A,B))
| join(one,join(A,join(B,sk1))) = join(one,join(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(A,B),sk1)),join(one,join(A,B))) ),[0,1],$fot(join(A,join(B,sk1)))]]) ).
cnf(refute_0_5842,plain,
( join(one,join(join(A,B),sk1)) != join(one,join(A,B))
| join(one,join(A,join(B,sk1))) = join(one,join(A,B)) ),
inference(resolve,[$cnf( $equal(join(join(A,B),sk1),join(A,join(B,sk1))) )],[refute_0_5840,refute_0_5841]) ).
cnf(refute_0_5843,plain,
join(one,join(A,join(B,sk1))) = join(one,join(A,B)),
inference(resolve,[$cnf( $equal(join(one,join(join(A,B),sk1)),join(one,join(A,B))) )],[refute_0_5837,refute_0_5842]) ).
cnf(refute_0_5844,plain,
join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) = join(one,join(sk1,meet(complement(sk1),composition(top,sk1)))),
inference(subst,[],[refute_0_5843:[bind(A,$fot(sk1)),bind(B,$fot(meet(complement(sk1),composition(top,sk1))))]]) ).
cnf(refute_0_5845,plain,
composition(top,sk1) = join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))))),
inference(subst,[],[refute_0_4629:[bind(X_117,$fot(composition(top,sk1))),bind(X_348,$fot(complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_5846,plain,
meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) = complement(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(composition(top,sk1))),bind(X_281,$fot(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_5847,plain,
complement(sk1) = join(meet(complement(sk1),composition(complement(converse(sk1)),sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(composition(complement(converse(sk1)),sk1))),bind(X_117,$fot(complement(sk1)))]]) ).
cnf(refute_0_5848,plain,
composition(complement(converse(sk1)),sk1) = meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),meet(sk1,composition(complement(converse(sk1)),sk1)))),
inference(subst,[],[refute_0_3497:[bind(X_22,$fot(sk1)),bind(X_97,$fot(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_5849,plain,
meet(complement(join(X_49,complement(sk1))),complement(one)) = complement(join(one,join(X_49,complement(sk1)))),
inference(subst,[],[refute_0_4425:[bind(X_97,$fot(join(X_49,complement(sk1))))]]) ).
cnf(refute_0_5850,plain,
( join(one,join(X_49,complement(sk1))) != top
| meet(complement(join(X_49,complement(sk1))),complement(one)) != complement(join(one,join(X_49,complement(sk1))))
| meet(complement(join(X_49,complement(sk1))),complement(one)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(X_49,complement(sk1))),complement(one)),complement(join(one,join(X_49,complement(sk1))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5851,plain,
( meet(complement(join(X_49,complement(sk1))),complement(one)) != complement(join(one,join(X_49,complement(sk1))))
| meet(complement(join(X_49,complement(sk1))),complement(one)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(one,join(X_49,complement(sk1))),top) )],[refute_0_1828,refute_0_5850]) ).
cnf(refute_0_5852,plain,
meet(complement(join(X_49,complement(sk1))),complement(one)) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(join(X_49,complement(sk1))),complement(one)),complement(join(one,join(X_49,complement(sk1))))) )],[refute_0_5849,refute_0_5851]) ).
cnf(refute_0_5853,plain,
complement(join(complement(sk1),join(X_31,X_32))) = meet(one,complement(join(complement(sk1),join(X_31,X_32)))),
inference(subst,[],[refute_0_4455:[bind(C,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_5854,plain,
join(complement(sk1),join(X_31,X_32)) = join(X_31,join(X_32,complement(sk1))),
inference(subst,[],[refute_0_269:[bind(A,$fot(complement(sk1)))]]) ).
cnf(refute_0_5855,plain,
( complement(join(complement(sk1),join(X_31,X_32))) != meet(one,complement(join(complement(sk1),join(X_31,X_32))))
| join(complement(sk1),join(X_31,X_32)) != join(X_31,join(X_32,complement(sk1)))
| complement(join(X_31,join(X_32,complement(sk1)))) = meet(one,complement(join(complement(sk1),join(X_31,X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(sk1),join(X_31,X_32))),meet(one,complement(join(complement(sk1),join(X_31,X_32))))) ),[0,0],$fot(join(X_31,join(X_32,complement(sk1))))]]) ).
cnf(refute_0_5856,plain,
( complement(join(complement(sk1),join(X_31,X_32))) != meet(one,complement(join(complement(sk1),join(X_31,X_32))))
| complement(join(X_31,join(X_32,complement(sk1)))) = meet(one,complement(join(complement(sk1),join(X_31,X_32)))) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),join(X_31,X_32)),join(X_31,join(X_32,complement(sk1)))) )],[refute_0_5854,refute_0_5855]) ).
cnf(refute_0_5857,plain,
complement(join(X_31,join(X_32,complement(sk1)))) = meet(one,complement(join(complement(sk1),join(X_31,X_32)))),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),join(X_31,X_32))),meet(one,complement(join(complement(sk1),join(X_31,X_32))))) )],[refute_0_5853,refute_0_5856]) ).
cnf(refute_0_5858,plain,
meet(one,complement(join(complement(sk1),join(X_31,X_32)))) = complement(join(complement(sk1),join(X_31,X_32))),
inference(subst,[],[refute_0_4464:[bind(C,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_5859,plain,
( complement(join(X_31,join(X_32,complement(sk1)))) != meet(one,complement(join(complement(sk1),join(X_31,X_32))))
| meet(one,complement(join(complement(sk1),join(X_31,X_32)))) != complement(join(complement(sk1),join(X_31,X_32)))
| complement(join(X_31,join(X_32,complement(sk1)))) = complement(join(complement(sk1),join(X_31,X_32))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X_31,join(X_32,complement(sk1)))),complement(join(complement(sk1),join(X_31,X_32)))) ),[0],$fot(meet(one,complement(join(complement(sk1),join(X_31,X_32)))))]]) ).
cnf(refute_0_5860,plain,
( complement(join(X_31,join(X_32,complement(sk1)))) != meet(one,complement(join(complement(sk1),join(X_31,X_32))))
| complement(join(X_31,join(X_32,complement(sk1)))) = complement(join(complement(sk1),join(X_31,X_32))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(complement(sk1),join(X_31,X_32)))),complement(join(complement(sk1),join(X_31,X_32)))) )],[refute_0_5858,refute_0_5859]) ).
cnf(refute_0_5861,plain,
complement(join(X_31,join(X_32,complement(sk1)))) = complement(join(complement(sk1),join(X_31,X_32))),
inference(resolve,[$cnf( $equal(complement(join(X_31,join(X_32,complement(sk1)))),meet(one,complement(join(complement(sk1),join(X_31,X_32))))) )],[refute_0_5857,refute_0_5860]) ).
cnf(refute_0_5862,plain,
complement(join(complement(sk1),join(X_31,X_32))) = meet(sk1,complement(join(X_31,X_32))),
inference(subst,[],[refute_0_3654:[bind(X_279,$fot(sk1)),bind(X_281,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_5863,plain,
( complement(join(X_31,join(X_32,complement(sk1)))) != complement(join(complement(sk1),join(X_31,X_32)))
| complement(join(complement(sk1),join(X_31,X_32))) != meet(sk1,complement(join(X_31,X_32)))
| complement(join(X_31,join(X_32,complement(sk1)))) = meet(sk1,complement(join(X_31,X_32))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X_31,join(X_32,complement(sk1)))),meet(sk1,complement(join(X_31,X_32)))) ),[0],$fot(complement(join(complement(sk1),join(X_31,X_32))))]]) ).
cnf(refute_0_5864,plain,
( complement(join(X_31,join(X_32,complement(sk1)))) != complement(join(complement(sk1),join(X_31,X_32)))
| complement(join(X_31,join(X_32,complement(sk1)))) = meet(sk1,complement(join(X_31,X_32))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),join(X_31,X_32))),meet(sk1,complement(join(X_31,X_32)))) )],[refute_0_5862,refute_0_5863]) ).
cnf(refute_0_5865,plain,
complement(join(X_31,join(X_32,complement(sk1)))) = meet(sk1,complement(join(X_31,X_32))),
inference(resolve,[$cnf( $equal(complement(join(X_31,join(X_32,complement(sk1)))),complement(join(complement(sk1),join(X_31,X_32)))) )],[refute_0_5861,refute_0_5864]) ).
cnf(refute_0_5866,plain,
complement(join(one,join(X_49,complement(sk1)))) = meet(sk1,complement(join(one,X_49))),
inference(subst,[],[refute_0_5865:[bind(X_31,$fot(one)),bind(X_32,$fot(X_49))]]) ).
cnf(refute_0_5867,plain,
( complement(join(one,join(X_49,complement(sk1)))) != meet(sk1,complement(join(one,X_49)))
| meet(complement(join(X_49,complement(sk1))),complement(one)) != complement(join(one,join(X_49,complement(sk1))))
| meet(complement(join(X_49,complement(sk1))),complement(one)) = meet(sk1,complement(join(one,X_49))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(join(X_49,complement(sk1))),complement(one)))),bind(Y,$fot(complement(join(one,join(X_49,complement(sk1)))))),bind(Z,$fot(meet(sk1,complement(join(one,X_49)))))]]) ).
cnf(refute_0_5868,plain,
( complement(join(one,join(X_49,complement(sk1)))) != meet(sk1,complement(join(one,X_49)))
| meet(complement(join(X_49,complement(sk1))),complement(one)) = meet(sk1,complement(join(one,X_49))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_49,complement(sk1))),complement(one)),complement(join(one,join(X_49,complement(sk1))))) )],[refute_0_5849,refute_0_5867]) ).
cnf(refute_0_5869,plain,
meet(complement(join(X_49,complement(sk1))),complement(one)) = meet(sk1,complement(join(one,X_49))),
inference(resolve,[$cnf( $equal(complement(join(one,join(X_49,complement(sk1)))),meet(sk1,complement(join(one,X_49)))) )],[refute_0_5866,refute_0_5868]) ).
cnf(refute_0_5870,plain,
( meet(complement(join(X_49,complement(sk1))),complement(one)) != complement(top)
| meet(complement(join(X_49,complement(sk1))),complement(one)) != meet(sk1,complement(join(one,X_49)))
| meet(sk1,complement(join(one,X_49))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(X_49,complement(sk1))),complement(one)),complement(top)) ),[0],$fot(meet(sk1,complement(join(one,X_49))))]]) ).
cnf(refute_0_5871,plain,
( meet(complement(join(X_49,complement(sk1))),complement(one)) != complement(top)
| meet(sk1,complement(join(one,X_49))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_49,complement(sk1))),complement(one)),meet(sk1,complement(join(one,X_49)))) )],[refute_0_5869,refute_0_5870]) ).
cnf(refute_0_5872,plain,
( complement(top) != zero
| meet(sk1,complement(join(one,X_49))) != complement(top)
| meet(sk1,complement(join(one,X_49))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(join(one,X_49))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_5873,plain,
( meet(sk1,complement(join(one,X_49))) != complement(top)
| meet(sk1,complement(join(one,X_49))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_5872]) ).
cnf(refute_0_5874,plain,
( meet(complement(join(X_49,complement(sk1))),complement(one)) != complement(top)
| meet(sk1,complement(join(one,X_49))) = zero ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(join(one,X_49))),complement(top)) )],[refute_0_5871,refute_0_5873]) ).
cnf(refute_0_5875,plain,
meet(sk1,complement(join(one,X_49))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(join(X_49,complement(sk1))),complement(one)),complement(top)) )],[refute_0_5852,refute_0_5874]) ).
cnf(refute_0_5876,plain,
meet(sk1,complement(join(one,complement(X_279)))) = zero,
inference(subst,[],[refute_0_5875:[bind(X_49,$fot(complement(X_279)))]]) ).
cnf(refute_0_5877,plain,
( complement(join(one,complement(X_279))) != meet(X_279,complement(one))
| meet(sk1,complement(join(one,complement(X_279)))) != zero
| meet(sk1,meet(X_279,complement(one))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(join(one,complement(X_279)))),zero) ),[0,1],$fot(meet(X_279,complement(one)))]]) ).
cnf(refute_0_5878,plain,
( meet(sk1,complement(join(one,complement(X_279)))) != zero
| meet(sk1,meet(X_279,complement(one))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(X_279))),meet(X_279,complement(one))) )],[refute_0_3217,refute_0_5877]) ).
cnf(refute_0_5879,plain,
meet(sk1,meet(X_279,complement(one))) = zero,
inference(resolve,[$cnf( $equal(meet(sk1,complement(join(one,complement(X_279)))),zero) )],[refute_0_5876,refute_0_5878]) ).
cnf(refute_0_5880,plain,
meet(sk1,meet(X_296,complement(one))) = zero,
inference(subst,[],[refute_0_5879:[bind(X_279,$fot(X_296))]]) ).
cnf(refute_0_5881,plain,
meet(complement(one),X_296) = meet(X_296,complement(one)),
inference(subst,[],[refute_0_33:[bind(X_6,$fot(complement(one))),bind(X_7,$fot(X_296))]]) ).
cnf(refute_0_5882,plain,
( meet(complement(one),X_296) != meet(X_296,complement(one))
| meet(X_296,complement(one)) = meet(complement(one),X_296) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(one),X_296))),bind(Y,$fot(meet(X_296,complement(one))))]]) ).
cnf(refute_0_5883,plain,
meet(X_296,complement(one)) = meet(complement(one),X_296),
inference(resolve,[$cnf( $equal(meet(complement(one),X_296),meet(X_296,complement(one))) )],[refute_0_5881,refute_0_5882]) ).
cnf(refute_0_5884,plain,
( meet(X_296,complement(one)) != meet(complement(one),X_296)
| meet(sk1,meet(X_296,complement(one))) != zero
| meet(sk1,meet(complement(one),X_296)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,meet(X_296,complement(one))),zero) ),[0,1],$fot(meet(complement(one),X_296))]]) ).
cnf(refute_0_5885,plain,
( meet(sk1,meet(X_296,complement(one))) != zero
| meet(sk1,meet(complement(one),X_296)) = zero ),
inference(resolve,[$cnf( $equal(meet(X_296,complement(one)),meet(complement(one),X_296)) )],[refute_0_5883,refute_0_5884]) ).
cnf(refute_0_5886,plain,
meet(sk1,meet(complement(one),X_296)) = zero,
inference(resolve,[$cnf( $equal(meet(sk1,meet(X_296,complement(one))),zero) )],[refute_0_5880,refute_0_5885]) ).
cnf(refute_0_5887,plain,
meet(sk1,meet(complement(one),composition(X_132,complement(converse(X_132))))) = zero,
inference(subst,[],[refute_0_5886:[bind(X_296,$fot(composition(X_132,complement(converse(X_132)))))]]) ).
cnf(refute_0_5888,plain,
composition(X_132,complement(converse(X_132))) = meet(composition(X_132,complement(converse(X_132))),join(complement(one),composition(X_132,complement(converse(X_132))))),
inference(subst,[],[refute_0_1000:[bind(X_118,$fot(complement(one))),bind(X_119,$fot(composition(X_132,complement(converse(X_132)))))]]) ).
cnf(refute_0_5889,plain,
join(complement(one),composition(X_132,complement(converse(X_132)))) = complement(one),
inference(subst,[],[refute_0_1936:[bind(A,$fot(X_132))]]) ).
cnf(refute_0_5890,plain,
( composition(X_132,complement(converse(X_132))) != meet(composition(X_132,complement(converse(X_132))),join(complement(one),composition(X_132,complement(converse(X_132)))))
| join(complement(one),composition(X_132,complement(converse(X_132)))) != complement(one)
| composition(X_132,complement(converse(X_132))) = meet(composition(X_132,complement(converse(X_132))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_132,complement(converse(X_132))),meet(composition(X_132,complement(converse(X_132))),join(complement(one),composition(X_132,complement(converse(X_132)))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_5891,plain,
( composition(X_132,complement(converse(X_132))) != meet(composition(X_132,complement(converse(X_132))),join(complement(one),composition(X_132,complement(converse(X_132)))))
| composition(X_132,complement(converse(X_132))) = meet(composition(X_132,complement(converse(X_132))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(X_132,complement(converse(X_132)))),complement(one)) )],[refute_0_5889,refute_0_5890]) ).
cnf(refute_0_5892,plain,
composition(X_132,complement(converse(X_132))) = meet(composition(X_132,complement(converse(X_132))),complement(one)),
inference(resolve,[$cnf( $equal(composition(X_132,complement(converse(X_132))),meet(composition(X_132,complement(converse(X_132))),join(complement(one),composition(X_132,complement(converse(X_132)))))) )],[refute_0_5888,refute_0_5891]) ).
cnf(refute_0_5893,plain,
meet(composition(X_132,complement(converse(X_132))),complement(one)) = meet(complement(one),composition(X_132,complement(converse(X_132)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(one))),bind(X_7,$fot(composition(X_132,complement(converse(X_132)))))]]) ).
cnf(refute_0_5894,plain,
( composition(X_132,complement(converse(X_132))) != meet(composition(X_132,complement(converse(X_132))),complement(one))
| meet(composition(X_132,complement(converse(X_132))),complement(one)) != meet(complement(one),composition(X_132,complement(converse(X_132))))
| composition(X_132,complement(converse(X_132))) = meet(complement(one),composition(X_132,complement(converse(X_132)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_132,complement(converse(X_132))),meet(complement(one),composition(X_132,complement(converse(X_132))))) ),[0],$fot(meet(composition(X_132,complement(converse(X_132))),complement(one)))]]) ).
cnf(refute_0_5895,plain,
( composition(X_132,complement(converse(X_132))) != meet(composition(X_132,complement(converse(X_132))),complement(one))
| composition(X_132,complement(converse(X_132))) = meet(complement(one),composition(X_132,complement(converse(X_132)))) ),
inference(resolve,[$cnf( $equal(meet(composition(X_132,complement(converse(X_132))),complement(one)),meet(complement(one),composition(X_132,complement(converse(X_132))))) )],[refute_0_5893,refute_0_5894]) ).
cnf(refute_0_5896,plain,
composition(X_132,complement(converse(X_132))) = meet(complement(one),composition(X_132,complement(converse(X_132)))),
inference(resolve,[$cnf( $equal(composition(X_132,complement(converse(X_132))),meet(composition(X_132,complement(converse(X_132))),complement(one))) )],[refute_0_5892,refute_0_5895]) ).
cnf(refute_0_5897,plain,
( composition(X_132,complement(converse(X_132))) != meet(complement(one),composition(X_132,complement(converse(X_132))))
| meet(complement(one),composition(X_132,complement(converse(X_132)))) = composition(X_132,complement(converse(X_132))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(X_132,complement(converse(X_132))))),bind(Y,$fot(meet(complement(one),composition(X_132,complement(converse(X_132))))))]]) ).
cnf(refute_0_5898,plain,
meet(complement(one),composition(X_132,complement(converse(X_132)))) = composition(X_132,complement(converse(X_132))),
inference(resolve,[$cnf( $equal(composition(X_132,complement(converse(X_132))),meet(complement(one),composition(X_132,complement(converse(X_132))))) )],[refute_0_5896,refute_0_5897]) ).
cnf(refute_0_5899,plain,
( meet(complement(one),composition(X_132,complement(converse(X_132)))) != composition(X_132,complement(converse(X_132)))
| meet(sk1,meet(complement(one),composition(X_132,complement(converse(X_132))))) != zero
| meet(sk1,composition(X_132,complement(converse(X_132)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,meet(complement(one),composition(X_132,complement(converse(X_132))))),zero) ),[0,1],$fot(composition(X_132,complement(converse(X_132))))]]) ).
cnf(refute_0_5900,plain,
( meet(sk1,meet(complement(one),composition(X_132,complement(converse(X_132))))) != zero
| meet(sk1,composition(X_132,complement(converse(X_132)))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(X_132,complement(converse(X_132)))),composition(X_132,complement(converse(X_132)))) )],[refute_0_5898,refute_0_5899]) ).
cnf(refute_0_5901,plain,
meet(sk1,composition(X_132,complement(converse(X_132)))) = zero,
inference(resolve,[$cnf( $equal(meet(sk1,meet(complement(one),composition(X_132,complement(converse(X_132))))),zero) )],[refute_0_5887,refute_0_5900]) ).
cnf(refute_0_5902,plain,
meet(sk1,composition(complement(converse(sk1)),complement(converse(complement(converse(sk1)))))) = zero,
inference(subst,[],[refute_0_5901:[bind(X_132,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_5903,plain,
converse(complement(meet(one,converse(join(sk1,complement(one)))))) = join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))))),
inference(subst,[],[refute_0_1535:[bind(X_97,$fot(converse(complement(meet(one,converse(join(sk1,complement(one)))))))),bind(X_98,$fot(converse(complement(converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_5904,plain,
one = join(meet(one,converse(complement(join(complement(one),converse(sk1))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(one)),bind(B,$fot(converse(complement(join(complement(one),converse(sk1))))))]]) ).
cnf(refute_0_5905,plain,
converse(complement(join(complement(one),converse(sk1)))) = meet(converse(complement(join(complement(one),converse(sk1)))),join(sk1,converse(complement(join(complement(one),converse(sk1)))))),
inference(subst,[],[refute_0_1000:[bind(X_118,$fot(sk1)),bind(X_119,$fot(converse(complement(join(complement(one),converse(sk1))))))]]) ).
cnf(refute_0_5906,plain,
converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) = converse(join(converse(sk1),complement(join(complement(one),converse(sk1))))),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(converse(sk1))),bind(X_12,$fot(complement(join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_5907,plain,
( converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) != converse(join(converse(sk1),complement(join(complement(one),converse(sk1)))))
| join(converse(sk1),complement(join(complement(one),converse(sk1)))) != one
| converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))),converse(join(converse(sk1),complement(join(complement(one),converse(sk1)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5908,plain,
( converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) != converse(join(converse(sk1),complement(join(complement(one),converse(sk1)))))
| converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) = converse(one) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(complement(one),converse(sk1)))),one) )],[refute_0_5562,refute_0_5907]) ).
cnf(refute_0_5909,plain,
converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))),converse(join(converse(sk1),complement(join(complement(one),converse(sk1)))))) )],[refute_0_5906,refute_0_5908]) ).
cnf(refute_0_5910,plain,
join(converse(complement(join(complement(one),converse(sk1)))),sk1) = join(sk1,converse(complement(join(complement(one),converse(sk1))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(sk1)),bind(B,$fot(converse(complement(join(complement(one),converse(sk1))))))]]) ).
cnf(refute_0_5911,plain,
converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) = join(converse(complement(join(complement(one),converse(sk1)))),sk1),
inference(subst,[],[refute_0_1350:[bind(A,$fot(sk1)),bind(X_11,$fot(complement(join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_5912,plain,
( converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) != join(converse(complement(join(complement(one),converse(sk1)))),sk1)
| join(converse(complement(join(complement(one),converse(sk1)))),sk1) != join(sk1,converse(complement(join(complement(one),converse(sk1)))))
| converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) = join(sk1,converse(complement(join(complement(one),converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))))),bind(Y,$fot(join(converse(complement(join(complement(one),converse(sk1)))),sk1))),bind(Z,$fot(join(sk1,converse(complement(join(complement(one),converse(sk1)))))))]]) ).
cnf(refute_0_5913,plain,
( join(converse(complement(join(complement(one),converse(sk1)))),sk1) != join(sk1,converse(complement(join(complement(one),converse(sk1)))))
| converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) = join(sk1,converse(complement(join(complement(one),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))),join(converse(complement(join(complement(one),converse(sk1)))),sk1)) )],[refute_0_5911,refute_0_5912]) ).
cnf(refute_0_5914,plain,
converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) = join(sk1,converse(complement(join(complement(one),converse(sk1))))),
inference(resolve,[$cnf( $equal(join(converse(complement(join(complement(one),converse(sk1)))),sk1),join(sk1,converse(complement(join(complement(one),converse(sk1)))))) )],[refute_0_5910,refute_0_5913]) ).
cnf(refute_0_5915,plain,
( converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) != converse(one)
| converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) != join(sk1,converse(complement(join(complement(one),converse(sk1)))))
| join(sk1,converse(complement(join(complement(one),converse(sk1))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))),converse(one)) ),[0],$fot(join(sk1,converse(complement(join(complement(one),converse(sk1))))))]]) ).
cnf(refute_0_5916,plain,
( converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) != converse(one)
| join(sk1,converse(complement(join(complement(one),converse(sk1))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))),join(sk1,converse(complement(join(complement(one),converse(sk1)))))) )],[refute_0_5914,refute_0_5915]) ).
cnf(refute_0_5917,plain,
( converse(one) != one
| join(sk1,converse(complement(join(complement(one),converse(sk1))))) != converse(one)
| join(sk1,converse(complement(join(complement(one),converse(sk1))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(complement(join(complement(one),converse(sk1))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_5918,plain,
( join(sk1,converse(complement(join(complement(one),converse(sk1))))) != converse(one)
| join(sk1,converse(complement(join(complement(one),converse(sk1))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_5917]) ).
cnf(refute_0_5919,plain,
( converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))) != converse(one)
| join(sk1,converse(complement(join(complement(one),converse(sk1))))) = one ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(join(complement(one),converse(sk1))))),converse(one)) )],[refute_0_5916,refute_0_5918]) ).
cnf(refute_0_5920,plain,
join(sk1,converse(complement(join(complement(one),converse(sk1))))) = one,
inference(resolve,[$cnf( $equal(converse(join(complement(join(complement(one),converse(sk1))),converse(sk1))),converse(one)) )],[refute_0_5909,refute_0_5919]) ).
cnf(refute_0_5921,plain,
( converse(complement(join(complement(one),converse(sk1)))) != meet(converse(complement(join(complement(one),converse(sk1)))),join(sk1,converse(complement(join(complement(one),converse(sk1))))))
| join(sk1,converse(complement(join(complement(one),converse(sk1))))) != one
| converse(complement(join(complement(one),converse(sk1)))) = meet(converse(complement(join(complement(one),converse(sk1)))),one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(complement(one),converse(sk1)))),meet(converse(complement(join(complement(one),converse(sk1)))),join(sk1,converse(complement(join(complement(one),converse(sk1))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_5922,plain,
( converse(complement(join(complement(one),converse(sk1)))) != meet(converse(complement(join(complement(one),converse(sk1)))),join(sk1,converse(complement(join(complement(one),converse(sk1))))))
| converse(complement(join(complement(one),converse(sk1)))) = meet(converse(complement(join(complement(one),converse(sk1)))),one) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(join(complement(one),converse(sk1))))),one) )],[refute_0_5920,refute_0_5921]) ).
cnf(refute_0_5923,plain,
converse(complement(join(complement(one),converse(sk1)))) = meet(converse(complement(join(complement(one),converse(sk1)))),one),
inference(resolve,[$cnf( $equal(converse(complement(join(complement(one),converse(sk1)))),meet(converse(complement(join(complement(one),converse(sk1)))),join(sk1,converse(complement(join(complement(one),converse(sk1))))))) )],[refute_0_5905,refute_0_5922]) ).
cnf(refute_0_5924,plain,
meet(converse(complement(join(complement(one),converse(sk1)))),one) = meet(one,converse(complement(join(complement(one),converse(sk1))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(converse(complement(join(complement(one),converse(sk1))))))]]) ).
cnf(refute_0_5925,plain,
( converse(complement(join(complement(one),converse(sk1)))) != meet(converse(complement(join(complement(one),converse(sk1)))),one)
| meet(converse(complement(join(complement(one),converse(sk1)))),one) != meet(one,converse(complement(join(complement(one),converse(sk1)))))
| converse(complement(join(complement(one),converse(sk1)))) = meet(one,converse(complement(join(complement(one),converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(join(complement(one),converse(sk1)))),meet(one,converse(complement(join(complement(one),converse(sk1)))))) ),[0],$fot(meet(converse(complement(join(complement(one),converse(sk1)))),one))]]) ).
cnf(refute_0_5926,plain,
( converse(complement(join(complement(one),converse(sk1)))) != meet(converse(complement(join(complement(one),converse(sk1)))),one)
| converse(complement(join(complement(one),converse(sk1)))) = meet(one,converse(complement(join(complement(one),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(join(complement(one),converse(sk1)))),one),meet(one,converse(complement(join(complement(one),converse(sk1)))))) )],[refute_0_5924,refute_0_5925]) ).
cnf(refute_0_5927,plain,
converse(complement(join(complement(one),converse(sk1)))) = meet(one,converse(complement(join(complement(one),converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(complement(join(complement(one),converse(sk1)))),meet(converse(complement(join(complement(one),converse(sk1)))),one)) )],[refute_0_5923,refute_0_5926]) ).
cnf(refute_0_5928,plain,
( converse(complement(join(complement(one),converse(sk1)))) != meet(one,converse(complement(join(complement(one),converse(sk1)))))
| meet(one,converse(complement(join(complement(one),converse(sk1))))) = converse(complement(join(complement(one),converse(sk1)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(join(complement(one),converse(sk1)))))),bind(Y,$fot(meet(one,converse(complement(join(complement(one),converse(sk1)))))))]]) ).
cnf(refute_0_5929,plain,
meet(one,converse(complement(join(complement(one),converse(sk1))))) = converse(complement(join(complement(one),converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(join(complement(one),converse(sk1)))),meet(one,converse(complement(join(complement(one),converse(sk1)))))) )],[refute_0_5927,refute_0_5928]) ).
cnf(refute_0_5930,plain,
( meet(one,converse(complement(join(complement(one),converse(sk1))))) != converse(complement(join(complement(one),converse(sk1))))
| one != join(meet(one,converse(complement(join(complement(one),converse(sk1))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))
| one = join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(complement(join(complement(one),converse(sk1))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))) ),[1,0],$fot(converse(complement(join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_5931,plain,
( one != join(meet(one,converse(complement(join(complement(one),converse(sk1))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))
| one = join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(join(complement(one),converse(sk1))))),converse(complement(join(complement(one),converse(sk1))))) )],[refute_0_5929,refute_0_5930]) ).
cnf(refute_0_5932,plain,
one = join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(complement(join(complement(one),converse(sk1))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))) )],[refute_0_5904,refute_0_5931]) ).
cnf(refute_0_5933,plain,
meet(one,join(complement(one),converse(sk1))) = meet(one,join(complement(one),converse(sk1))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(one),converse(sk1))))]]) ).
cnf(refute_0_5934,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| meet(one,join(complement(one),converse(sk1))) != meet(one,join(complement(one),converse(sk1)))
| meet(one,join(complement(one),converse(sk1))) = meet(one,converse(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(one),converse(sk1))),meet(one,join(complement(one),converse(sk1)))) ),[1,1],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_5935,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| meet(one,join(complement(one),converse(sk1))) = meet(one,converse(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(sk1))),meet(one,join(complement(one),converse(sk1)))) )],[refute_0_5933,refute_0_5934]) ).
cnf(refute_0_5936,plain,
meet(one,join(complement(one),converse(sk1))) = meet(one,converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),converse(join(sk1,complement(one)))) )],[refute_0_5141,refute_0_5935]) ).
cnf(refute_0_5937,plain,
complement(meet(one,join(complement(one),converse(sk1)))) = complement(meet(one,join(complement(one),converse(sk1)))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_5938,plain,
( complement(meet(one,join(complement(one),converse(sk1)))) != complement(meet(one,join(complement(one),converse(sk1))))
| meet(one,join(complement(one),converse(sk1))) != meet(one,converse(join(sk1,complement(one))))
| complement(meet(one,join(complement(one),converse(sk1)))) = complement(meet(one,converse(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(one),converse(sk1)))),complement(meet(one,join(complement(one),converse(sk1))))) ),[1,0],$fot(meet(one,converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_5939,plain,
( meet(one,join(complement(one),converse(sk1))) != meet(one,converse(join(sk1,complement(one))))
| complement(meet(one,join(complement(one),converse(sk1)))) = complement(meet(one,converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(one),converse(sk1)))),complement(meet(one,join(complement(one),converse(sk1))))) )],[refute_0_5937,refute_0_5938]) ).
cnf(refute_0_5940,plain,
complement(meet(one,join(complement(one),converse(sk1)))) = complement(meet(one,converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(sk1))),meet(one,converse(join(sk1,complement(one))))) )],[refute_0_5936,refute_0_5939]) ).
cnf(refute_0_5941,plain,
join(complement(one),complement(join(complement(one),converse(sk1)))) = complement(meet(one,join(complement(one),converse(sk1)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(join(complement(one),converse(sk1))))]]) ).
cnf(refute_0_5942,plain,
( complement(meet(one,join(complement(one),converse(sk1)))) != complement(meet(one,converse(join(sk1,complement(one)))))
| join(complement(one),complement(join(complement(one),converse(sk1)))) != complement(meet(one,join(complement(one),converse(sk1))))
| join(complement(one),complement(join(complement(one),converse(sk1)))) = complement(meet(one,converse(join(sk1,complement(one))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),complement(join(complement(one),converse(sk1)))))),bind(Y,$fot(complement(meet(one,join(complement(one),converse(sk1)))))),bind(Z,$fot(complement(meet(one,converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_5943,plain,
( complement(meet(one,join(complement(one),converse(sk1)))) != complement(meet(one,converse(join(sk1,complement(one)))))
| join(complement(one),complement(join(complement(one),converse(sk1)))) = complement(meet(one,converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(one),converse(sk1)))),complement(meet(one,join(complement(one),converse(sk1))))) )],[refute_0_5941,refute_0_5942]) ).
cnf(refute_0_5944,plain,
join(complement(one),complement(join(complement(one),converse(sk1)))) = complement(meet(one,converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(one),converse(sk1)))),complement(meet(one,converse(join(sk1,complement(one)))))) )],[refute_0_5940,refute_0_5943]) ).
cnf(refute_0_5945,plain,
converse(join(complement(one),complement(join(complement(one),converse(sk1))))) = converse(join(complement(one),complement(join(complement(one),converse(sk1))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(join(complement(one),converse(sk1))))))]]) ).
cnf(refute_0_5946,plain,
( converse(join(complement(one),complement(join(complement(one),converse(sk1))))) != converse(join(complement(one),complement(join(complement(one),converse(sk1)))))
| join(complement(one),complement(join(complement(one),converse(sk1)))) != complement(meet(one,converse(join(sk1,complement(one)))))
| converse(join(complement(one),complement(join(complement(one),converse(sk1))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(join(complement(one),converse(sk1))))),converse(join(complement(one),complement(join(complement(one),converse(sk1)))))) ),[1,0],$fot(complement(meet(one,converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_5947,plain,
( join(complement(one),complement(join(complement(one),converse(sk1)))) != complement(meet(one,converse(join(sk1,complement(one)))))
| converse(join(complement(one),complement(join(complement(one),converse(sk1))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(join(complement(one),converse(sk1))))),converse(join(complement(one),complement(join(complement(one),converse(sk1)))))) )],[refute_0_5945,refute_0_5946]) ).
cnf(refute_0_5948,plain,
converse(join(complement(one),complement(join(complement(one),converse(sk1))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(one),converse(sk1)))),complement(meet(one,converse(join(sk1,complement(one)))))) )],[refute_0_5944,refute_0_5947]) ).
cnf(refute_0_5949,plain,
join(complement(one),converse(complement(join(complement(one),converse(sk1))))) = converse(join(complement(one),complement(join(complement(one),converse(sk1))))),
inference(subst,[],[refute_0_1764:[bind(X_12,$fot(complement(join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_5950,plain,
( converse(join(complement(one),complement(join(complement(one),converse(sk1))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| join(complement(one),converse(complement(join(complement(one),converse(sk1))))) != converse(join(complement(one),complement(join(complement(one),converse(sk1)))))
| join(complement(one),converse(complement(join(complement(one),converse(sk1))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))),bind(Y,$fot(converse(join(complement(one),complement(join(complement(one),converse(sk1))))))),bind(Z,$fot(converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_5951,plain,
( converse(join(complement(one),complement(join(complement(one),converse(sk1))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| join(complement(one),converse(complement(join(complement(one),converse(sk1))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(join(complement(one),converse(sk1))))),converse(join(complement(one),complement(join(complement(one),converse(sk1)))))) )],[refute_0_5949,refute_0_5950]) ).
cnf(refute_0_5952,plain,
join(complement(one),converse(complement(join(complement(one),converse(sk1))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(join(complement(one),converse(sk1))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) )],[refute_0_5948,refute_0_5951]) ).
cnf(refute_0_5953,plain,
complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))) = complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))),
introduced(tautology,[refl,[$fot(complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))]]) ).
cnf(refute_0_5954,plain,
( complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))) != complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))
| join(complement(one),converse(complement(join(complement(one),converse(sk1))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))) = complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) ),[1,0],$fot(converse(complement(meet(one,converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_5955,plain,
( join(complement(one),converse(complement(join(complement(one),converse(sk1))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))) = complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) )],[refute_0_5953,refute_0_5954]) ).
cnf(refute_0_5956,plain,
complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))) = complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(join(complement(one),converse(sk1))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) )],[refute_0_5952,refute_0_5955]) ).
cnf(refute_0_5957,plain,
join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) = join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))),
introduced(tautology,[refl,[$fot(join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))))]]) ).
cnf(refute_0_5958,plain,
( complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))) != complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) != join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))
| join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) = join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))),join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))) ),[1,1],$fot(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_5959,plain,
( complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))) != complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) = join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))),join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))) )],[refute_0_5957,refute_0_5958]) ).
cnf(refute_0_5960,plain,
join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) = join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_5956,refute_0_5959]) ).
cnf(refute_0_5961,plain,
converse(complement(join(complement(one),converse(sk1)))) = converse(complement(join(complement(one),converse(sk1)))),
introduced(tautology,[refl,[$fot(converse(complement(join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_5962,plain,
( complement(join(complement(one),converse(sk1))) != complement(converse(join(sk1,complement(one))))
| converse(complement(join(complement(one),converse(sk1)))) != converse(complement(join(complement(one),converse(sk1))))
| converse(complement(join(complement(one),converse(sk1)))) = converse(complement(converse(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(complement(one),converse(sk1)))),converse(complement(join(complement(one),converse(sk1))))) ),[1,0],$fot(complement(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_5963,plain,
( complement(join(complement(one),converse(sk1))) != complement(converse(join(sk1,complement(one))))
| converse(complement(join(complement(one),converse(sk1)))) = converse(complement(converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(converse(complement(join(complement(one),converse(sk1)))),converse(complement(join(complement(one),converse(sk1))))) )],[refute_0_5961,refute_0_5962]) ).
cnf(refute_0_5964,plain,
converse(complement(join(complement(one),converse(sk1)))) = converse(complement(converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(sk1))),complement(converse(join(sk1,complement(one))))) )],[refute_0_5569,refute_0_5963]) ).
cnf(refute_0_5965,plain,
join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) = join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))),
introduced(tautology,[refl,[$fot(join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))))]]) ).
cnf(refute_0_5966,plain,
( converse(complement(join(complement(one),converse(sk1)))) != converse(complement(converse(join(sk1,complement(one)))))
| join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) != join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))
| join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) = join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))),join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))) ),[1,0],$fot(converse(complement(converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_5967,plain,
( converse(complement(join(complement(one),converse(sk1)))) != converse(complement(converse(join(sk1,complement(one)))))
| join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) = join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))),join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))) )],[refute_0_5965,refute_0_5966]) ).
cnf(refute_0_5968,plain,
join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) = join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))),
inference(resolve,[$cnf( $equal(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(join(sk1,complement(one)))))) )],[refute_0_5964,refute_0_5967]) ).
cnf(refute_0_5969,plain,
( join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) != join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) != join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))
| join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) = join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))))),bind(Y,$fot(join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))))),bind(Z,$fot(join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_5970,plain,
( join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) != join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) = join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))),join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))) )],[refute_0_5968,refute_0_5969]) ).
cnf(refute_0_5971,plain,
join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) = join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(sk1,complement(one))))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))),join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_5960,refute_0_5970]) ).
cnf(refute_0_5972,plain,
( join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))) != join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| one != join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))
| one = join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))) ),[1],$fot(join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_5973,plain,
( one != join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))
| one = join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1))))))),join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_5971,refute_0_5972]) ).
cnf(refute_0_5974,plain,
one = join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(one,join(converse(complement(join(complement(one),converse(sk1)))),complement(join(complement(one),converse(complement(join(complement(one),converse(sk1)))))))) )],[refute_0_5932,refute_0_5973]) ).
cnf(refute_0_5975,plain,
( one != join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_5976,plain,
join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_5974,refute_0_5975]) ).
cnf(refute_0_5977,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))))
| join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) != one
| converse(complement(meet(one,converse(join(sk1,complement(one)))))) = join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_5978,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))))
| converse(complement(meet(one,converse(join(sk1,complement(one)))))) = join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))),one) )],[refute_0_5976,refute_0_5977]) ).
cnf(refute_0_5979,plain,
converse(complement(meet(one,converse(join(sk1,complement(one)))))) = join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(join(converse(complement(converse(join(sk1,complement(one))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))))) )],[refute_0_5903,refute_0_5978]) ).
cnf(refute_0_5980,plain,
meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))) = meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(complement(converse(join(sk1,complement(one))))))),bind(X_7,$fot(converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_5981,plain,
join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))) = join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_5982,plain,
( join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))) != join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))))
| meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))) != meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))) = join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))),join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))))) ),[1,1],$fot(meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_5983,plain,
( meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))) != meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))) = join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))),join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))))) )],[refute_0_5981,refute_0_5982]) ).
cnf(refute_0_5984,plain,
join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))) = join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_5980,refute_0_5983]) ).
cnf(refute_0_5985,plain,
join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one)) = join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_2226:[bind(A,$fot(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_5986,plain,
( join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))) != join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one)) != join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))))
| join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one)) = join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one)))),bind(Y,$fot(join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))))),bind(Z,$fot(join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_5987,plain,
( join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))) != join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one)) = join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one)),join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))))) )],[refute_0_5985,refute_0_5986]) ).
cnf(refute_0_5988,plain,
join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one)) = join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one))))))),join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_5984,refute_0_5987]) ).
cnf(refute_0_5989,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one))
| join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one)) != join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| converse(complement(meet(one,converse(join(sk1,complement(one)))))) = join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))) ),[0],$fot(join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one)))]]) ).
cnf(refute_0_5990,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one))
| converse(complement(meet(one,converse(join(sk1,complement(one)))))) = join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one)),join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_5988,refute_0_5989]) ).
cnf(refute_0_5991,plain,
converse(complement(meet(one,converse(join(sk1,complement(one)))))) = join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),join(meet(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(join(sk1,complement(one)))))),complement(one))) )],[refute_0_5979,refute_0_5990]) ).
cnf(refute_0_5992,plain,
meet(one,complement(meet(one,complement(converse(sk1))))) = meet(one,complement(meet(one,complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_5993,plain,
( complement(meet(one,complement(converse(sk1)))) != converse(join(sk1,complement(one)))
| meet(one,complement(meet(one,complement(converse(sk1))))) != meet(one,complement(meet(one,complement(converse(sk1)))))
| meet(one,complement(meet(one,complement(converse(sk1))))) = meet(one,converse(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(sk1))))),meet(one,complement(meet(one,complement(converse(sk1)))))) ),[1,1],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_5994,plain,
( complement(meet(one,complement(converse(sk1)))) != converse(join(sk1,complement(one)))
| meet(one,complement(meet(one,complement(converse(sk1))))) = meet(one,converse(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(sk1))))),meet(one,complement(meet(one,complement(converse(sk1)))))) )],[refute_0_5992,refute_0_5993]) ).
cnf(refute_0_5995,plain,
meet(one,complement(meet(one,complement(converse(sk1))))) = meet(one,converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(sk1)))),converse(join(sk1,complement(one)))) )],[refute_0_5214,refute_0_5994]) ).
cnf(refute_0_5996,plain,
( meet(one,complement(meet(one,complement(converse(sk1))))) != converse(sk1)
| meet(one,complement(meet(one,complement(converse(sk1))))) != meet(one,converse(join(sk1,complement(one))))
| meet(one,converse(join(sk1,complement(one)))) = converse(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(sk1))))),converse(sk1)) ),[0],$fot(meet(one,converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_5997,plain,
( meet(one,complement(meet(one,complement(converse(sk1))))) != converse(sk1)
| meet(one,converse(join(sk1,complement(one)))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(sk1))))),meet(one,converse(join(sk1,complement(one))))) )],[refute_0_5995,refute_0_5996]) ).
cnf(refute_0_5998,plain,
meet(one,converse(join(sk1,complement(one)))) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(sk1))))),converse(sk1)) )],[refute_0_5196,refute_0_5997]) ).
cnf(refute_0_5999,plain,
complement(meet(one,converse(join(sk1,complement(one))))) = complement(meet(one,converse(join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(complement(meet(one,converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_6000,plain,
( complement(meet(one,converse(join(sk1,complement(one))))) != complement(meet(one,converse(join(sk1,complement(one)))))
| meet(one,converse(join(sk1,complement(one)))) != converse(sk1)
| complement(meet(one,converse(join(sk1,complement(one))))) = complement(converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,converse(join(sk1,complement(one))))),complement(meet(one,converse(join(sk1,complement(one)))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_6001,plain,
( meet(one,converse(join(sk1,complement(one)))) != converse(sk1)
| complement(meet(one,converse(join(sk1,complement(one))))) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(join(sk1,complement(one))))),complement(meet(one,converse(join(sk1,complement(one)))))) )],[refute_0_5999,refute_0_6000]) ).
cnf(refute_0_6002,plain,
complement(meet(one,converse(join(sk1,complement(one))))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(meet(one,converse(join(sk1,complement(one)))),converse(sk1)) )],[refute_0_5998,refute_0_6001]) ).
cnf(refute_0_6003,plain,
converse(complement(meet(one,converse(join(sk1,complement(one)))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(converse(complement(meet(one,converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_6004,plain,
( complement(meet(one,converse(join(sk1,complement(one))))) != complement(converse(sk1))
| converse(complement(meet(one,converse(join(sk1,complement(one)))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| converse(complement(meet(one,converse(join(sk1,complement(one)))))) = converse(complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),[1,0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_6005,plain,
( complement(meet(one,converse(join(sk1,complement(one))))) != complement(converse(sk1))
| converse(complement(meet(one,converse(join(sk1,complement(one)))))) = converse(complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) )],[refute_0_6003,refute_0_6004]) ).
cnf(refute_0_6006,plain,
converse(complement(meet(one,converse(join(sk1,complement(one)))))) = converse(complement(converse(sk1))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(join(sk1,complement(one))))),complement(converse(sk1))) )],[refute_0_6002,refute_0_6005]) ).
cnf(refute_0_6007,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != converse(complement(converse(sk1)))
| converse(complement(meet(one,converse(join(sk1,complement(one)))))) != join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| converse(complement(converse(sk1))) = join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))) ),[0],$fot(converse(complement(converse(sk1))))]]) ).
cnf(refute_0_6008,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| converse(complement(converse(sk1))) = join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(sk1)))) )],[refute_0_6006,refute_0_6007]) ).
cnf(refute_0_6009,plain,
meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(converse(sk1)))) = meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(complement(converse(sk1))))),bind(X_7,$fot(converse(complement(converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_6010,plain,
meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6011,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != converse(complement(converse(sk1)))
| meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) != meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),[1,1],$fot(converse(complement(converse(sk1))))]]) ).
cnf(refute_0_6012,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != converse(complement(converse(sk1)))
| meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_6010,refute_0_6011]) ).
cnf(refute_0_6013,plain,
meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(sk1)))) )],[refute_0_6006,refute_0_6012]) ).
cnf(refute_0_6014,plain,
( meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(converse(sk1)))) != meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))
| meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) != meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(converse(sk1))))
| meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))),bind(Y,$fot(meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(converse(sk1)))))),bind(Z,$fot(meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6015,plain,
( meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(converse(sk1)))) != meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))
| meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(converse(sk1))))) )],[refute_0_6013,refute_0_6014]) ).
cnf(refute_0_6016,plain,
meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(converse(sk1)))),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) )],[refute_0_6009,refute_0_6015]) ).
cnf(refute_0_6017,plain,
join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) = join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_6018,plain,
( join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) != join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) != meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))
| join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))),join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))) ),[1,1],$fot(meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_6019,plain,
( meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) != meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))
| join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))),join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_6017,refute_0_6018]) ).
cnf(refute_0_6020,plain,
join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) )],[refute_0_6016,refute_0_6019]) ).
cnf(refute_0_6021,plain,
( converse(complement(converse(sk1))) != join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) != join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))))
| converse(complement(converse(sk1))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(sk1))),join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))))) ),[0],$fot(join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_6022,plain,
( converse(complement(converse(sk1))) != join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| converse(complement(converse(sk1))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one)))))))),join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))))) )],[refute_0_6020,refute_0_6021]) ).
cnf(refute_0_6023,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| converse(complement(converse(sk1))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(sk1))),join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_6008,refute_0_6022]) ).
cnf(refute_0_6024,plain,
converse(complement(converse(sk1))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),join(complement(one),meet(converse(complement(converse(join(sk1,complement(one))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_5991,refute_0_6023]) ).
cnf(refute_0_6025,plain,
meet(one,complement(converse(sk1))) = complement(complement(meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_6026,plain,
( complement(meet(one,complement(converse(sk1)))) != converse(join(sk1,complement(one)))
| meet(one,complement(converse(sk1))) != complement(complement(meet(one,complement(converse(sk1)))))
| meet(one,complement(converse(sk1))) = complement(converse(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(sk1))),complement(complement(meet(one,complement(converse(sk1)))))) ),[1,0],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_6027,plain,
( meet(one,complement(converse(sk1))) != complement(complement(meet(one,complement(converse(sk1)))))
| meet(one,complement(converse(sk1))) = complement(converse(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(sk1)))),converse(join(sk1,complement(one)))) )],[refute_0_5214,refute_0_6026]) ).
cnf(refute_0_6028,plain,
meet(one,complement(converse(sk1))) = complement(converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(sk1))),complement(complement(meet(one,complement(converse(sk1)))))) )],[refute_0_6025,refute_0_6027]) ).
cnf(refute_0_6029,plain,
( meet(one,complement(converse(sk1))) != complement(converse(join(sk1,complement(one))))
| complement(converse(join(sk1,complement(one)))) = meet(one,complement(converse(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(one,complement(converse(sk1))))),bind(Y,$fot(complement(converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_6030,plain,
complement(converse(join(sk1,complement(one)))) = meet(one,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(sk1))),complement(converse(join(sk1,complement(one))))) )],[refute_0_6028,refute_0_6029]) ).
cnf(refute_0_6031,plain,
converse(complement(converse(join(sk1,complement(one))))) = converse(complement(converse(join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_6032,plain,
( complement(converse(join(sk1,complement(one)))) != meet(one,complement(converse(sk1)))
| converse(complement(converse(join(sk1,complement(one))))) != converse(complement(converse(join(sk1,complement(one)))))
| converse(complement(converse(join(sk1,complement(one))))) = converse(meet(one,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(sk1,complement(one))))),converse(complement(converse(join(sk1,complement(one)))))) ),[1,0],$fot(meet(one,complement(converse(sk1))))]]) ).
cnf(refute_0_6033,plain,
( complement(converse(join(sk1,complement(one)))) != meet(one,complement(converse(sk1)))
| converse(complement(converse(join(sk1,complement(one))))) = converse(meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(sk1,complement(one))))),converse(complement(converse(join(sk1,complement(one)))))) )],[refute_0_6031,refute_0_6032]) ).
cnf(refute_0_6034,plain,
converse(complement(converse(join(sk1,complement(one))))) = converse(meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,complement(one)))),meet(one,complement(converse(sk1)))) )],[refute_0_6030,refute_0_6033]) ).
cnf(refute_0_6035,plain,
meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))) = meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_6036,plain,
( converse(complement(converse(join(sk1,complement(one))))) != converse(meet(one,complement(converse(sk1))))
| meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))) != meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))
| meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))) = meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) ),[1,1],$fot(converse(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_6037,plain,
( converse(complement(converse(join(sk1,complement(one))))) != converse(meet(one,complement(converse(sk1))))
| meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))) = meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) )],[refute_0_6035,refute_0_6036]) ).
cnf(refute_0_6038,plain,
meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))) = meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(sk1,complement(one))))),converse(meet(one,complement(converse(sk1))))) )],[refute_0_6034,refute_0_6037]) ).
cnf(refute_0_6039,plain,
join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6040,plain,
( join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) != join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))))
| meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))) != meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))
| join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))),join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))))) ),[1,1],$fot(meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6041,plain,
( meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))) != meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))
| join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))),join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))))) )],[refute_0_6039,refute_0_6040]) ).
cnf(refute_0_6042,plain,
join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6038,refute_0_6041]) ).
cnf(refute_0_6043,plain,
( converse(complement(converse(sk1))) != join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))))
| join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))) != join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))))
| converse(complement(converse(sk1))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(sk1))),join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))))) ),[0],$fot(join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6044,plain,
( converse(complement(converse(sk1))) != join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))))
| converse(complement(converse(sk1))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one))))))),join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6042,refute_0_6043]) ).
cnf(refute_0_6045,plain,
converse(complement(converse(sk1))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(sk1))),join(complement(one),meet(converse(complement(converse(sk1))),converse(complement(converse(join(sk1,complement(one)))))))) )],[refute_0_6024,refute_0_6044]) ).
cnf(refute_0_6046,plain,
meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) = complement(join(complement(X_279),meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))),
inference(subst,[],[refute_0_1527:[bind(A,$fot(X_279)),bind(X_6,$fot(one)),bind(X_7,$fot(join(sk1,complement(converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6047,plain,
join(complement(converse(complement(converse(sk1)))),sk1) = meet(join(complement(converse(complement(converse(sk1)))),sk1),join(one,complement(converse(complement(converse(sk1)))))),
inference(subst,[],[refute_0_4770:[bind(X_34,$fot(complement(converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6048,plain,
converse(converse(join(one,complement(converse(complement(converse(sk1))))))) = join(one,complement(converse(complement(converse(sk1))))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,complement(converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6049,plain,
join(converse(sk1),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))) = join(one,converse(complement(converse(complement(converse(sk1)))))),
inference(subst,[],[refute_0_5091:[bind(C,$fot(converse(complement(converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6050,plain,
converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) = converse(join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(converse(meet(one,complement(converse(sk1)))))),bind(X_12,$fot(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6051,plain,
one = join(meet(one,converse(meet(one,complement(converse(sk1))))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(one)),bind(B,$fot(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6052,plain,
converse(meet(one,complement(converse(sk1)))) = meet(converse(meet(one,complement(converse(sk1)))),join(sk1,converse(meet(one,complement(converse(sk1)))))),
inference(subst,[],[refute_0_1000:[bind(X_118,$fot(sk1)),bind(X_119,$fot(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6053,plain,
converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = converse(join(converse(sk1),meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(converse(sk1))),bind(X_12,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_6054,plain,
( converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != converse(join(converse(sk1),meet(one,complement(converse(sk1)))))
| join(converse(sk1),meet(one,complement(converse(sk1)))) != one
| converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(sk1))),converse(sk1))),converse(join(converse(sk1),meet(one,complement(converse(sk1)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_6055,plain,
( converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != converse(join(converse(sk1),meet(one,complement(converse(sk1)))))
| converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = converse(one) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,complement(converse(sk1)))),one) )],[refute_0_5088,refute_0_6054]) ).
cnf(refute_0_6056,plain,
converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(sk1))),converse(sk1))),converse(join(converse(sk1),meet(one,complement(converse(sk1)))))) )],[refute_0_6053,refute_0_6055]) ).
cnf(refute_0_6057,plain,
join(converse(meet(one,complement(converse(sk1)))),sk1) = join(sk1,converse(meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(sk1)),bind(B,$fot(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6058,plain,
converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = join(converse(meet(one,complement(converse(sk1)))),sk1),
inference(subst,[],[refute_0_1350:[bind(A,$fot(sk1)),bind(X_11,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_6059,plain,
( converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != join(converse(meet(one,complement(converse(sk1)))),sk1)
| join(converse(meet(one,complement(converse(sk1)))),sk1) != join(sk1,converse(meet(one,complement(converse(sk1)))))
| converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = join(sk1,converse(meet(one,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(meet(one,complement(converse(sk1))),converse(sk1))))),bind(Y,$fot(join(converse(meet(one,complement(converse(sk1)))),sk1))),bind(Z,$fot(join(sk1,converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6060,plain,
( join(converse(meet(one,complement(converse(sk1)))),sk1) != join(sk1,converse(meet(one,complement(converse(sk1)))))
| converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = join(sk1,converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(sk1))),converse(sk1))),join(converse(meet(one,complement(converse(sk1)))),sk1)) )],[refute_0_6058,refute_0_6059]) ).
cnf(refute_0_6061,plain,
converse(join(meet(one,complement(converse(sk1))),converse(sk1))) = join(sk1,converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(sk1)))),sk1),join(sk1,converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6057,refute_0_6060]) ).
cnf(refute_0_6062,plain,
( converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != converse(one)
| converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != join(sk1,converse(meet(one,complement(converse(sk1)))))
| join(sk1,converse(meet(one,complement(converse(sk1))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(sk1))),converse(sk1))),converse(one)) ),[0],$fot(join(sk1,converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6063,plain,
( converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != converse(one)
| join(sk1,converse(meet(one,complement(converse(sk1))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(sk1))),converse(sk1))),join(sk1,converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6061,refute_0_6062]) ).
cnf(refute_0_6064,plain,
( converse(one) != one
| join(sk1,converse(meet(one,complement(converse(sk1))))) != converse(one)
| join(sk1,converse(meet(one,complement(converse(sk1))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(meet(one,complement(converse(sk1))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_6065,plain,
( join(sk1,converse(meet(one,complement(converse(sk1))))) != converse(one)
| join(sk1,converse(meet(one,complement(converse(sk1))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_6064]) ).
cnf(refute_0_6066,plain,
( converse(join(meet(one,complement(converse(sk1))),converse(sk1))) != converse(one)
| join(sk1,converse(meet(one,complement(converse(sk1))))) = one ),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,complement(converse(sk1))))),converse(one)) )],[refute_0_6063,refute_0_6065]) ).
cnf(refute_0_6067,plain,
join(sk1,converse(meet(one,complement(converse(sk1))))) = one,
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(sk1))),converse(sk1))),converse(one)) )],[refute_0_6056,refute_0_6066]) ).
cnf(refute_0_6068,plain,
( converse(meet(one,complement(converse(sk1)))) != meet(converse(meet(one,complement(converse(sk1)))),join(sk1,converse(meet(one,complement(converse(sk1))))))
| join(sk1,converse(meet(one,complement(converse(sk1))))) != one
| converse(meet(one,complement(converse(sk1)))) = meet(converse(meet(one,complement(converse(sk1)))),one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(converse(sk1)))),meet(converse(meet(one,complement(converse(sk1)))),join(sk1,converse(meet(one,complement(converse(sk1))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_6069,plain,
( converse(meet(one,complement(converse(sk1)))) != meet(converse(meet(one,complement(converse(sk1)))),join(sk1,converse(meet(one,complement(converse(sk1))))))
| converse(meet(one,complement(converse(sk1)))) = meet(converse(meet(one,complement(converse(sk1)))),one) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(meet(one,complement(converse(sk1))))),one) )],[refute_0_6067,refute_0_6068]) ).
cnf(refute_0_6070,plain,
converse(meet(one,complement(converse(sk1)))) = meet(converse(meet(one,complement(converse(sk1)))),one),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(sk1)))),meet(converse(meet(one,complement(converse(sk1)))),join(sk1,converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6052,refute_0_6069]) ).
cnf(refute_0_6071,plain,
meet(converse(meet(one,complement(converse(sk1)))),one) = meet(one,converse(meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6072,plain,
( converse(meet(one,complement(converse(sk1)))) != meet(converse(meet(one,complement(converse(sk1)))),one)
| meet(converse(meet(one,complement(converse(sk1)))),one) != meet(one,converse(meet(one,complement(converse(sk1)))))
| converse(meet(one,complement(converse(sk1)))) = meet(one,converse(meet(one,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(converse(sk1)))),meet(one,converse(meet(one,complement(converse(sk1)))))) ),[0],$fot(meet(converse(meet(one,complement(converse(sk1)))),one))]]) ).
cnf(refute_0_6073,plain,
( converse(meet(one,complement(converse(sk1)))) != meet(converse(meet(one,complement(converse(sk1)))),one)
| converse(meet(one,complement(converse(sk1)))) = meet(one,converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(converse(sk1)))),one),meet(one,converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6071,refute_0_6072]) ).
cnf(refute_0_6074,plain,
converse(meet(one,complement(converse(sk1)))) = meet(one,converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(sk1)))),meet(converse(meet(one,complement(converse(sk1)))),one)) )],[refute_0_6070,refute_0_6073]) ).
cnf(refute_0_6075,plain,
( converse(meet(one,complement(converse(sk1)))) != meet(one,converse(meet(one,complement(converse(sk1)))))
| meet(one,converse(meet(one,complement(converse(sk1))))) = converse(meet(one,complement(converse(sk1)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(meet(one,complement(converse(sk1)))))),bind(Y,$fot(meet(one,converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6076,plain,
meet(one,converse(meet(one,complement(converse(sk1))))) = converse(meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(sk1)))),meet(one,converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6074,refute_0_6075]) ).
cnf(refute_0_6077,plain,
( meet(one,converse(meet(one,complement(converse(sk1))))) != converse(meet(one,complement(converse(sk1))))
| one != join(meet(one,converse(meet(one,complement(converse(sk1))))),complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))
| one = join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(meet(one,complement(converse(sk1))))),complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) ),[1,0],$fot(converse(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_6078,plain,
( one != join(meet(one,converse(meet(one,complement(converse(sk1))))),complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))
| one = join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(meet(one,complement(converse(sk1))))),converse(meet(one,complement(converse(sk1))))) )],[refute_0_6076,refute_0_6077]) ).
cnf(refute_0_6079,plain,
one = join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(meet(one,complement(converse(sk1))))),complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6051,refute_0_6078]) ).
cnf(refute_0_6080,plain,
( one != join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))
| join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6081,plain,
join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6079,refute_0_6080]) ).
cnf(refute_0_6082,plain,
( converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) != converse(join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))
| join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) != one
| converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))),converse(join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_6083,plain,
( converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) != converse(join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))
| converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) = converse(one) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),one) )],[refute_0_6081,refute_0_6082]) ).
cnf(refute_0_6084,plain,
converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))),converse(join(converse(meet(one,complement(converse(sk1)))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))) )],[refute_0_6050,refute_0_6083]) ).
cnf(refute_0_6085,plain,
join(converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),meet(one,complement(converse(sk1)))) = join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(meet(one,complement(converse(sk1))))),bind(B,$fot(converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6086,plain,
converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) = join(converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),meet(one,complement(converse(sk1)))),
inference(subst,[],[refute_0_1350:[bind(A,$fot(meet(one,complement(converse(sk1))))),bind(X_11,$fot(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6087,plain,
( converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) != join(converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),meet(one,complement(converse(sk1))))
| join(converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),meet(one,complement(converse(sk1)))) != join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))
| converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) = join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))))),bind(Y,$fot(join(converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),meet(one,complement(converse(sk1)))))),bind(Z,$fot(join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))))]]) ).
cnf(refute_0_6088,plain,
( join(converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),meet(one,complement(converse(sk1)))) != join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))
| converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) = join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))),join(converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),meet(one,complement(converse(sk1))))) )],[refute_0_6086,refute_0_6087]) ).
cnf(refute_0_6089,plain,
converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) = join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))),
inference(resolve,[$cnf( $equal(join(converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),meet(one,complement(converse(sk1)))),join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))) )],[refute_0_6085,refute_0_6088]) ).
cnf(refute_0_6090,plain,
( converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) != converse(one)
| converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) != join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))
| join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))),converse(one)) ),[0],$fot(join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6091,plain,
( converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) != converse(one)
| join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))),join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))) )],[refute_0_6089,refute_0_6090]) ).
cnf(refute_0_6092,plain,
( converse(one) != one
| join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) != converse(one)
| join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_6093,plain,
( join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) != converse(one)
| join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_6092]) ).
cnf(refute_0_6094,plain,
( converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))) != converse(one)
| join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) = one ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))),converse(one)) )],[refute_0_6091,refute_0_6093]) ).
cnf(refute_0_6095,plain,
join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) = one,
inference(resolve,[$cnf( $equal(converse(join(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),converse(meet(one,complement(converse(sk1)))))),converse(one)) )],[refute_0_6084,refute_0_6094]) ).
cnf(refute_0_6096,plain,
join(complement(one),converse(meet(one,complement(converse(sk1))))) = converse(join(complement(one),meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_1764:[bind(X_12,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_6097,plain,
complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))) = complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),
introduced(tautology,[refl,[$fot(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6098,plain,
( complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))) != complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))
| join(complement(one),converse(meet(one,complement(converse(sk1))))) != converse(join(complement(one),meet(one,complement(converse(sk1)))))
| complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))) = complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) ),[1,0],$fot(converse(join(complement(one),meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6099,plain,
( join(complement(one),converse(meet(one,complement(converse(sk1))))) != converse(join(complement(one),meet(one,complement(converse(sk1)))))
| complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))) = complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6097,refute_0_6098]) ).
cnf(refute_0_6100,plain,
complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))) = complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(converse(sk1))))),converse(join(complement(one),meet(one,complement(converse(sk1)))))) )],[refute_0_6096,refute_0_6099]) ).
cnf(refute_0_6101,plain,
converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) = converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),
introduced(tautology,[refl,[$fot(converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6102,plain,
( complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))) != complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))
| converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) != converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))
| converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) = converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) ),[1,0],$fot(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6103,plain,
( complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))) != complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))
| converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) = converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6101,refute_0_6102]) ).
cnf(refute_0_6104,plain,
converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) = converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))),complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))) )],[refute_0_6100,refute_0_6103]) ).
cnf(refute_0_6105,plain,
join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) = join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6106,plain,
( converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) != converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))
| join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) != join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))
| join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) = join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))),join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))) ),[1,1],$fot(converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6107,plain,
( converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))) != converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))
| join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) = join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))),join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))))) )],[refute_0_6105,refute_0_6106]) ).
cnf(refute_0_6108,plain,
join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) = join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))),
inference(resolve,[$cnf( $equal(converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1))))))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) )],[refute_0_6104,refute_0_6107]) ).
cnf(refute_0_6109,plain,
( join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) != join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))))
| join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) != one
| join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))),one) ),[0],$fot(join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6110,plain,
( join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))) != one
| join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) = one ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))))) )],[refute_0_6108,refute_0_6109]) ).
cnf(refute_0_6111,plain,
join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) = one,
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(join(complement(one),converse(meet(one,complement(converse(sk1)))))))),one) )],[refute_0_6095,refute_0_6110]) ).
cnf(refute_0_6112,plain,
complement(converse(sk1)) = join(meet(complement(converse(sk1)),one),meet(complement(one),complement(converse(sk1)))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(one)),bind(X_117,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_6113,plain,
( complement(converse(sk1)) != join(meet(complement(converse(sk1)),one),meet(complement(one),complement(converse(sk1))))
| meet(complement(one),complement(converse(sk1))) != complement(one)
| complement(converse(sk1)) = join(meet(complement(converse(sk1)),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(sk1)),join(meet(complement(converse(sk1)),one),meet(complement(one),complement(converse(sk1))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_6114,plain,
( complement(converse(sk1)) != join(meet(complement(converse(sk1)),one),meet(complement(one),complement(converse(sk1))))
| complement(converse(sk1)) = join(meet(complement(converse(sk1)),one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(sk1))),complement(one)) )],[refute_0_5165,refute_0_6113]) ).
cnf(refute_0_6115,plain,
complement(converse(sk1)) = join(meet(complement(converse(sk1)),one),complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(meet(complement(converse(sk1)),one),meet(complement(one),complement(converse(sk1))))) )],[refute_0_6112,refute_0_6114]) ).
cnf(refute_0_6116,plain,
meet(complement(converse(sk1)),one) = meet(one,complement(converse(sk1))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_6117,plain,
join(complement(one),meet(complement(converse(sk1)),one)) = join(complement(one),meet(complement(converse(sk1)),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(converse(sk1)),one)))]]) ).
cnf(refute_0_6118,plain,
( join(complement(one),meet(complement(converse(sk1)),one)) != join(complement(one),meet(complement(converse(sk1)),one))
| meet(complement(converse(sk1)),one) != meet(one,complement(converse(sk1)))
| join(complement(one),meet(complement(converse(sk1)),one)) = join(complement(one),meet(one,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(converse(sk1)),one)),join(complement(one),meet(complement(converse(sk1)),one))) ),[1,1],$fot(meet(one,complement(converse(sk1))))]]) ).
cnf(refute_0_6119,plain,
( meet(complement(converse(sk1)),one) != meet(one,complement(converse(sk1)))
| join(complement(one),meet(complement(converse(sk1)),one)) = join(complement(one),meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(sk1)),one)),join(complement(one),meet(complement(converse(sk1)),one))) )],[refute_0_6117,refute_0_6118]) ).
cnf(refute_0_6120,plain,
join(complement(one),meet(complement(converse(sk1)),one)) = join(complement(one),meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),one),meet(one,complement(converse(sk1)))) )],[refute_0_6116,refute_0_6119]) ).
cnf(refute_0_6121,plain,
join(meet(complement(converse(sk1)),one),complement(one)) = join(complement(one),meet(complement(converse(sk1)),one)),
inference(subst,[],[refute_0_2226:[bind(A,$fot(meet(complement(converse(sk1)),one)))]]) ).
cnf(refute_0_6122,plain,
( join(complement(one),meet(complement(converse(sk1)),one)) != join(complement(one),meet(one,complement(converse(sk1))))
| join(meet(complement(converse(sk1)),one),complement(one)) != join(complement(one),meet(complement(converse(sk1)),one))
| join(meet(complement(converse(sk1)),one),complement(one)) = join(complement(one),meet(one,complement(converse(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(converse(sk1)),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(complement(converse(sk1)),one)))),bind(Z,$fot(join(complement(one),meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6123,plain,
( join(complement(one),meet(complement(converse(sk1)),one)) != join(complement(one),meet(one,complement(converse(sk1))))
| join(meet(complement(converse(sk1)),one),complement(one)) = join(complement(one),meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(sk1)),one),complement(one)),join(complement(one),meet(complement(converse(sk1)),one))) )],[refute_0_6121,refute_0_6122]) ).
cnf(refute_0_6124,plain,
join(meet(complement(converse(sk1)),one),complement(one)) = join(complement(one),meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(sk1)),one)),join(complement(one),meet(one,complement(converse(sk1))))) )],[refute_0_6120,refute_0_6123]) ).
cnf(refute_0_6125,plain,
( complement(converse(sk1)) != join(meet(complement(converse(sk1)),one),complement(one))
| join(meet(complement(converse(sk1)),one),complement(one)) != join(complement(one),meet(one,complement(converse(sk1))))
| complement(converse(sk1)) = join(complement(one),meet(one,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(sk1)),join(complement(one),meet(one,complement(converse(sk1))))) ),[0],$fot(join(meet(complement(converse(sk1)),one),complement(one)))]]) ).
cnf(refute_0_6126,plain,
( complement(converse(sk1)) != join(meet(complement(converse(sk1)),one),complement(one))
| complement(converse(sk1)) = join(complement(one),meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(sk1)),one),complement(one)),join(complement(one),meet(one,complement(converse(sk1))))) )],[refute_0_6124,refute_0_6125]) ).
cnf(refute_0_6127,plain,
complement(converse(sk1)) = join(complement(one),meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(meet(complement(converse(sk1)),one),complement(one))) )],[refute_0_6115,refute_0_6126]) ).
cnf(refute_0_6128,plain,
( complement(converse(sk1)) != join(complement(one),meet(one,complement(converse(sk1))))
| join(complement(one),meet(one,complement(converse(sk1)))) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(sk1)))),bind(Y,$fot(join(complement(one),meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6129,plain,
join(complement(one),meet(one,complement(converse(sk1)))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(complement(one),meet(one,complement(converse(sk1))))) )],[refute_0_6127,refute_0_6128]) ).
cnf(refute_0_6130,plain,
converse(join(complement(one),meet(one,complement(converse(sk1))))) = converse(join(complement(one),meet(one,complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6131,plain,
( converse(join(complement(one),meet(one,complement(converse(sk1))))) != converse(join(complement(one),meet(one,complement(converse(sk1)))))
| join(complement(one),meet(one,complement(converse(sk1)))) != complement(converse(sk1))
| converse(join(complement(one),meet(one,complement(converse(sk1))))) = converse(complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),meet(one,complement(converse(sk1))))),converse(join(complement(one),meet(one,complement(converse(sk1)))))) ),[1,0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_6132,plain,
( join(complement(one),meet(one,complement(converse(sk1)))) != complement(converse(sk1))
| converse(join(complement(one),meet(one,complement(converse(sk1))))) = converse(complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(converse(sk1))))),converse(join(complement(one),meet(one,complement(converse(sk1)))))) )],[refute_0_6130,refute_0_6131]) ).
cnf(refute_0_6133,plain,
converse(join(complement(one),meet(one,complement(converse(sk1))))) = converse(complement(converse(sk1))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(sk1)))),complement(converse(sk1))) )],[refute_0_6129,refute_0_6132]) ).
cnf(refute_0_6134,plain,
complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))) = complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))),
introduced(tautology,[refl,[$fot(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6135,plain,
( complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))) != complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))
| converse(join(complement(one),meet(one,complement(converse(sk1))))) != converse(complement(converse(sk1)))
| complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))) = complement(converse(complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))),complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))) ),[1,0],$fot(converse(complement(converse(sk1))))]]) ).
cnf(refute_0_6136,plain,
( converse(join(complement(one),meet(one,complement(converse(sk1))))) != converse(complement(converse(sk1)))
| complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))) = complement(converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))),complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))) )],[refute_0_6134,refute_0_6135]) ).
cnf(refute_0_6137,plain,
complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))) = complement(converse(complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(converse(sk1))))),converse(complement(converse(sk1)))) )],[refute_0_6133,refute_0_6136]) ).
cnf(refute_0_6138,plain,
converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))) = converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6139,plain,
( complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))) != complement(converse(complement(converse(sk1))))
| converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))) != converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))
| converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))) = converse(complement(converse(complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) ),[1,0],$fot(complement(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6140,plain,
( complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))) != complement(converse(complement(converse(sk1))))
| converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))) = converse(complement(converse(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) )],[refute_0_6138,refute_0_6139]) ).
cnf(refute_0_6141,plain,
converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))) = converse(complement(converse(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))),complement(converse(complement(converse(sk1))))) )],[refute_0_6137,refute_0_6140]) ).
cnf(refute_0_6142,plain,
join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) = join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6143,plain,
( converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))) != converse(complement(converse(complement(converse(sk1)))))
| join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) != join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))))
| join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) = join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))))) ),[1,1],$fot(converse(complement(converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6144,plain,
( converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))) != converse(complement(converse(complement(converse(sk1)))))
| join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) = join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))))) )],[refute_0_6142,refute_0_6143]) ).
cnf(refute_0_6145,plain,
join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) = join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1))))))),converse(complement(converse(complement(converse(sk1)))))) )],[refute_0_6141,refute_0_6144]) ).
cnf(refute_0_6146,plain,
( join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) != join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))
| join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) != one
| join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))),one) ),[0],$fot(join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6147,plain,
( join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))) != one
| join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))) = one ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))) )],[refute_0_6145,refute_0_6146]) ).
cnf(refute_0_6148,plain,
join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))) = one,
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(converse(join(complement(one),meet(one,complement(converse(sk1)))))))),one) )],[refute_0_6111,refute_0_6147]) ).
cnf(refute_0_6149,plain,
( join(converse(sk1),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))) != join(one,converse(complement(converse(complement(converse(sk1))))))
| join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))) != one
| join(converse(sk1),one) = join(one,converse(complement(converse(complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))),join(one,converse(complement(converse(complement(converse(sk1))))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_6150,plain,
( join(converse(sk1),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))) != join(one,converse(complement(converse(complement(converse(sk1))))))
| join(converse(sk1),one) = join(one,converse(complement(converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))),one) )],[refute_0_6148,refute_0_6149]) ).
cnf(refute_0_6151,plain,
join(converse(sk1),one) = join(one,converse(complement(converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))),join(one,converse(complement(converse(complement(converse(sk1))))))) )],[refute_0_6049,refute_0_6150]) ).
cnf(refute_0_6152,plain,
converse(join(one,sk1)) = converse(join(one,sk1)),
introduced(tautology,[refl,[$fot(converse(join(one,sk1)))]]) ).
cnf(refute_0_6153,plain,
( converse(join(one,sk1)) != converse(join(one,sk1))
| join(one,sk1) != one
| converse(join(one,sk1)) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,sk1)),converse(join(one,sk1))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_6154,plain,
( join(one,sk1) != one
| converse(join(one,sk1)) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,sk1)),converse(join(one,sk1))) )],[refute_0_6152,refute_0_6153]) ).
cnf(refute_0_6155,plain,
converse(join(one,sk1)) = converse(one),
inference(resolve,[$cnf( $equal(join(one,sk1),one) )],[refute_0_684,refute_0_6154]) ).
cnf(refute_0_6156,plain,
( converse(join(one,sk1)) != converse(one)
| converse(one) != one
| converse(join(one,sk1)) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,sk1)))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_6157,plain,
( converse(one) != one
| converse(join(one,sk1)) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,sk1)),converse(one)) )],[refute_0_6155,refute_0_6156]) ).
cnf(refute_0_6158,plain,
converse(join(one,sk1)) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_6157]) ).
cnf(refute_0_6159,plain,
join(one,converse(sk1)) = converse(join(one,sk1)),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(sk1))]]) ).
cnf(refute_0_6160,plain,
join(converse(sk1),one) = join(one,converse(sk1)),
inference(subst,[],[refute_0_1401:[bind(A,$fot(converse(sk1)))]]) ).
cnf(refute_0_6161,plain,
( join(converse(sk1),one) != join(one,converse(sk1))
| join(one,converse(sk1)) != converse(join(one,sk1))
| join(converse(sk1),one) = converse(join(one,sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),one))),bind(Y,$fot(join(one,converse(sk1)))),bind(Z,$fot(converse(join(one,sk1))))]]) ).
cnf(refute_0_6162,plain,
( join(one,converse(sk1)) != converse(join(one,sk1))
| join(converse(sk1),one) = converse(join(one,sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),one),join(one,converse(sk1))) )],[refute_0_6160,refute_0_6161]) ).
cnf(refute_0_6163,plain,
join(converse(sk1),one) = converse(join(one,sk1)),
inference(resolve,[$cnf( $equal(join(one,converse(sk1)),converse(join(one,sk1))) )],[refute_0_6159,refute_0_6162]) ).
cnf(refute_0_6164,plain,
( converse(join(one,sk1)) != one
| join(converse(sk1),one) != converse(join(one,sk1))
| join(converse(sk1),one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),one))),bind(Y,$fot(converse(join(one,sk1)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_6165,plain,
( converse(join(one,sk1)) != one
| join(converse(sk1),one) = one ),
inference(resolve,[$cnf( $equal(join(converse(sk1),one),converse(join(one,sk1))) )],[refute_0_6163,refute_0_6164]) ).
cnf(refute_0_6166,plain,
join(converse(sk1),one) = one,
inference(resolve,[$cnf( $equal(converse(join(one,sk1)),one) )],[refute_0_6158,refute_0_6165]) ).
cnf(refute_0_6167,plain,
( join(converse(sk1),one) != join(one,converse(complement(converse(complement(converse(sk1))))))
| join(converse(sk1),one) != one
| one = join(one,converse(complement(converse(complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),one),join(one,converse(complement(converse(complement(converse(sk1))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_6168,plain,
( join(converse(sk1),one) != join(one,converse(complement(converse(complement(converse(sk1))))))
| one = join(one,converse(complement(converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),one),one) )],[refute_0_6166,refute_0_6167]) ).
cnf(refute_0_6169,plain,
join(one,converse(complement(converse(complement(converse(sk1)))))) = converse(join(one,complement(converse(complement(converse(sk1)))))),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(complement(converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6170,plain,
( join(one,converse(complement(converse(complement(converse(sk1)))))) != converse(join(one,complement(converse(complement(converse(sk1))))))
| one != join(one,converse(complement(converse(complement(converse(sk1))))))
| one = converse(join(one,complement(converse(complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,converse(complement(converse(complement(converse(sk1))))))) ),[1],$fot(converse(join(one,complement(converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6171,plain,
( one != join(one,converse(complement(converse(complement(converse(sk1))))))
| one = converse(join(one,complement(converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(complement(converse(sk1)))))),converse(join(one,complement(converse(complement(converse(sk1))))))) )],[refute_0_6169,refute_0_6170]) ).
cnf(refute_0_6172,plain,
( join(converse(sk1),one) != join(one,converse(complement(converse(complement(converse(sk1))))))
| one = converse(join(one,complement(converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(one,join(one,converse(complement(converse(complement(converse(sk1))))))) )],[refute_0_6168,refute_0_6171]) ).
cnf(refute_0_6173,plain,
one = converse(join(one,complement(converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),one),join(one,converse(complement(converse(complement(converse(sk1))))))) )],[refute_0_6151,refute_0_6172]) ).
cnf(refute_0_6174,plain,
( one != converse(join(one,complement(converse(complement(converse(sk1))))))
| converse(join(one,complement(converse(complement(converse(sk1)))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(converse(join(one,complement(converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6175,plain,
converse(join(one,complement(converse(complement(converse(sk1)))))) = one,
inference(resolve,[$cnf( $equal(one,converse(join(one,complement(converse(complement(converse(sk1))))))) )],[refute_0_6173,refute_0_6174]) ).
cnf(refute_0_6176,plain,
( converse(converse(join(one,complement(converse(complement(converse(sk1))))))) != join(one,complement(converse(complement(converse(sk1)))))
| converse(join(one,complement(converse(complement(converse(sk1)))))) != one
| converse(one) = join(one,complement(converse(complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,complement(converse(complement(converse(sk1))))))),join(one,complement(converse(complement(converse(sk1)))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_6177,plain,
( converse(converse(join(one,complement(converse(complement(converse(sk1))))))) != join(one,complement(converse(complement(converse(sk1)))))
| converse(one) = join(one,complement(converse(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(complement(converse(sk1)))))),one) )],[refute_0_6175,refute_0_6176]) ).
cnf(refute_0_6178,plain,
converse(one) = join(one,complement(converse(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(converse(complement(converse(sk1))))))),join(one,complement(converse(complement(converse(sk1)))))) )],[refute_0_6048,refute_0_6177]) ).
cnf(refute_0_6179,plain,
( converse(one) != join(one,complement(converse(complement(converse(sk1)))))
| converse(one) != one
| one = join(one,complement(converse(complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(one),join(one,complement(converse(complement(converse(sk1)))))) ),[0],$fot(one)]]) ).
cnf(refute_0_6180,plain,
( converse(one) != join(one,complement(converse(complement(converse(sk1)))))
| one = join(one,complement(converse(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_6179]) ).
cnf(refute_0_6181,plain,
one = join(one,complement(converse(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(one),join(one,complement(converse(complement(converse(sk1)))))) )],[refute_0_6178,refute_0_6180]) ).
cnf(refute_0_6182,plain,
( one != join(one,complement(converse(complement(converse(sk1)))))
| join(one,complement(converse(complement(converse(sk1))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(one,complement(converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6183,plain,
join(one,complement(converse(complement(converse(sk1))))) = one,
inference(resolve,[$cnf( $equal(one,join(one,complement(converse(complement(converse(sk1)))))) )],[refute_0_6181,refute_0_6182]) ).
cnf(refute_0_6184,plain,
( join(complement(converse(complement(converse(sk1)))),sk1) != meet(join(complement(converse(complement(converse(sk1)))),sk1),join(one,complement(converse(complement(converse(sk1))))))
| join(one,complement(converse(complement(converse(sk1))))) != one
| join(complement(converse(complement(converse(sk1)))),sk1) = meet(join(complement(converse(complement(converse(sk1)))),sk1),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(sk1)))),sk1),meet(join(complement(converse(complement(converse(sk1)))),sk1),join(one,complement(converse(complement(converse(sk1))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_6185,plain,
( join(complement(converse(complement(converse(sk1)))),sk1) != meet(join(complement(converse(complement(converse(sk1)))),sk1),join(one,complement(converse(complement(converse(sk1))))))
| join(complement(converse(complement(converse(sk1)))),sk1) = meet(join(complement(converse(complement(converse(sk1)))),sk1),one) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(complement(converse(sk1))))),one) )],[refute_0_6183,refute_0_6184]) ).
cnf(refute_0_6186,plain,
join(complement(converse(complement(converse(sk1)))),sk1) = meet(join(complement(converse(complement(converse(sk1)))),sk1),one),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(sk1)))),sk1),meet(join(complement(converse(complement(converse(sk1)))),sk1),join(one,complement(converse(complement(converse(sk1))))))) )],[refute_0_6047,refute_0_6185]) ).
cnf(refute_0_6187,plain,
join(complement(converse(complement(converse(sk1)))),sk1) = join(sk1,complement(converse(complement(converse(sk1))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(converse(complement(converse(sk1)))))),bind(B,$fot(sk1))]]) ).
cnf(refute_0_6188,plain,
( join(complement(converse(complement(converse(sk1)))),sk1) != join(sk1,complement(converse(complement(converse(sk1)))))
| join(complement(converse(complement(converse(sk1)))),sk1) != meet(join(complement(converse(complement(converse(sk1)))),sk1),one)
| join(sk1,complement(converse(complement(converse(sk1))))) = meet(join(complement(converse(complement(converse(sk1)))),sk1),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(sk1)))),sk1),meet(join(complement(converse(complement(converse(sk1)))),sk1),one)) ),[0],$fot(join(sk1,complement(converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6189,plain,
( join(complement(converse(complement(converse(sk1)))),sk1) != meet(join(complement(converse(complement(converse(sk1)))),sk1),one)
| join(sk1,complement(converse(complement(converse(sk1))))) = meet(join(complement(converse(complement(converse(sk1)))),sk1),one) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(sk1)))),sk1),join(sk1,complement(converse(complement(converse(sk1)))))) )],[refute_0_6187,refute_0_6188]) ).
cnf(refute_0_6190,plain,
meet(one,join(complement(converse(complement(converse(sk1)))),sk1)) = meet(one,join(complement(converse(complement(converse(sk1)))),sk1)),
introduced(tautology,[refl,[$fot(meet(one,join(complement(converse(complement(converse(sk1)))),sk1)))]]) ).
cnf(refute_0_6191,plain,
( join(complement(converse(complement(converse(sk1)))),sk1) != join(sk1,complement(converse(complement(converse(sk1)))))
| meet(one,join(complement(converse(complement(converse(sk1)))),sk1)) != meet(one,join(complement(converse(complement(converse(sk1)))),sk1))
| meet(one,join(complement(converse(complement(converse(sk1)))),sk1)) = meet(one,join(sk1,complement(converse(complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(converse(complement(converse(sk1)))),sk1)),meet(one,join(complement(converse(complement(converse(sk1)))),sk1))) ),[1,1],$fot(join(sk1,complement(converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6192,plain,
( join(complement(converse(complement(converse(sk1)))),sk1) != join(sk1,complement(converse(complement(converse(sk1)))))
| meet(one,join(complement(converse(complement(converse(sk1)))),sk1)) = meet(one,join(sk1,complement(converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(converse(complement(converse(sk1)))),sk1)),meet(one,join(complement(converse(complement(converse(sk1)))),sk1))) )],[refute_0_6190,refute_0_6191]) ).
cnf(refute_0_6193,plain,
meet(one,join(complement(converse(complement(converse(sk1)))),sk1)) = meet(one,join(sk1,complement(converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(sk1)))),sk1),join(sk1,complement(converse(complement(converse(sk1)))))) )],[refute_0_6187,refute_0_6192]) ).
cnf(refute_0_6194,plain,
meet(join(complement(converse(complement(converse(sk1)))),sk1),one) = meet(one,join(complement(converse(complement(converse(sk1)))),sk1)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(join(complement(converse(complement(converse(sk1)))),sk1)))]]) ).
cnf(refute_0_6195,plain,
( meet(join(complement(converse(complement(converse(sk1)))),sk1),one) != meet(one,join(complement(converse(complement(converse(sk1)))),sk1))
| meet(one,join(complement(converse(complement(converse(sk1)))),sk1)) != meet(one,join(sk1,complement(converse(complement(converse(sk1))))))
| meet(join(complement(converse(complement(converse(sk1)))),sk1),one) = meet(one,join(sk1,complement(converse(complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(complement(converse(complement(converse(sk1)))),sk1),one))),bind(Y,$fot(meet(one,join(complement(converse(complement(converse(sk1)))),sk1)))),bind(Z,$fot(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6196,plain,
( meet(one,join(complement(converse(complement(converse(sk1)))),sk1)) != meet(one,join(sk1,complement(converse(complement(converse(sk1))))))
| meet(join(complement(converse(complement(converse(sk1)))),sk1),one) = meet(one,join(sk1,complement(converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(converse(complement(converse(sk1)))),sk1),one),meet(one,join(complement(converse(complement(converse(sk1)))),sk1))) )],[refute_0_6194,refute_0_6195]) ).
cnf(refute_0_6197,plain,
meet(join(complement(converse(complement(converse(sk1)))),sk1),one) = meet(one,join(sk1,complement(converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(converse(complement(converse(sk1)))),sk1)),meet(one,join(sk1,complement(converse(complement(converse(sk1))))))) )],[refute_0_6193,refute_0_6196]) ).
cnf(refute_0_6198,plain,
( join(sk1,complement(converse(complement(converse(sk1))))) != meet(join(complement(converse(complement(converse(sk1)))),sk1),one)
| meet(join(complement(converse(complement(converse(sk1)))),sk1),one) != meet(one,join(sk1,complement(converse(complement(converse(sk1))))))
| join(sk1,complement(converse(complement(converse(sk1))))) = meet(one,join(sk1,complement(converse(complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,complement(converse(complement(converse(sk1))))),meet(one,join(sk1,complement(converse(complement(converse(sk1))))))) ),[0],$fot(meet(join(complement(converse(complement(converse(sk1)))),sk1),one))]]) ).
cnf(refute_0_6199,plain,
( join(sk1,complement(converse(complement(converse(sk1))))) != meet(join(complement(converse(complement(converse(sk1)))),sk1),one)
| join(sk1,complement(converse(complement(converse(sk1))))) = meet(one,join(sk1,complement(converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(converse(complement(converse(sk1)))),sk1),one),meet(one,join(sk1,complement(converse(complement(converse(sk1))))))) )],[refute_0_6197,refute_0_6198]) ).
cnf(refute_0_6200,plain,
( join(complement(converse(complement(converse(sk1)))),sk1) != meet(join(complement(converse(complement(converse(sk1)))),sk1),one)
| join(sk1,complement(converse(complement(converse(sk1))))) = meet(one,join(sk1,complement(converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(complement(converse(sk1))))),meet(join(complement(converse(complement(converse(sk1)))),sk1),one)) )],[refute_0_6189,refute_0_6199]) ).
cnf(refute_0_6201,plain,
join(sk1,complement(converse(complement(converse(sk1))))) = meet(one,join(sk1,complement(converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(sk1)))),sk1),meet(join(complement(converse(complement(converse(sk1)))),sk1),one)) )],[refute_0_6186,refute_0_6200]) ).
cnf(refute_0_6202,plain,
( join(sk1,complement(converse(complement(converse(sk1))))) != meet(one,join(sk1,complement(converse(complement(converse(sk1))))))
| meet(one,join(sk1,complement(converse(complement(converse(sk1)))))) = join(sk1,complement(converse(complement(converse(sk1))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,complement(converse(complement(converse(sk1))))))),bind(Y,$fot(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6203,plain,
meet(one,join(sk1,complement(converse(complement(converse(sk1)))))) = join(sk1,complement(converse(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(sk1,complement(converse(complement(converse(sk1))))),meet(one,join(sk1,complement(converse(complement(converse(sk1))))))) )],[refute_0_6201,refute_0_6202]) ).
cnf(refute_0_6204,plain,
( meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) != complement(join(complement(X_279),meet(one,join(sk1,complement(converse(complement(converse(sk1))))))))
| meet(one,join(sk1,complement(converse(complement(converse(sk1)))))) != join(sk1,complement(converse(complement(converse(sk1)))))
| meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) = complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))),complement(join(complement(X_279),meet(one,join(sk1,complement(converse(complement(converse(sk1))))))))) ),[1,0,1],$fot(join(sk1,complement(converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6205,plain,
( meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) != complement(join(complement(X_279),meet(one,join(sk1,complement(converse(complement(converse(sk1))))))))
| meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) = complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))),join(sk1,complement(converse(complement(converse(sk1)))))) )],[refute_0_6203,refute_0_6204]) ).
cnf(refute_0_6206,plain,
meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) = complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))),complement(join(complement(X_279),meet(one,join(sk1,complement(converse(complement(converse(sk1))))))))) )],[refute_0_6046,refute_0_6205]) ).
cnf(refute_0_6207,plain,
complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))) = complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6208,plain,
( complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))) != complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))
| meet(one,join(sk1,complement(converse(complement(converse(sk1)))))) != join(sk1,complement(converse(complement(converse(sk1)))))
| complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))) = complement(join(sk1,complement(converse(complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))),complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) ),[1,0],$fot(join(sk1,complement(converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6209,plain,
( meet(one,join(sk1,complement(converse(complement(converse(sk1)))))) != join(sk1,complement(converse(complement(converse(sk1)))))
| complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))) = complement(join(sk1,complement(converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))),complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) )],[refute_0_6207,refute_0_6208]) ).
cnf(refute_0_6210,plain,
complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))) = complement(join(sk1,complement(converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))),join(sk1,complement(converse(complement(converse(sk1)))))) )],[refute_0_6203,refute_0_6209]) ).
cnf(refute_0_6211,plain,
meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) = meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))),
introduced(tautology,[refl,[$fot(meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6212,plain,
( complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))) != complement(join(sk1,complement(converse(complement(converse(sk1))))))
| meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) != meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))))
| meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) = meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))),meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))))) ),[1,1],$fot(complement(join(sk1,complement(converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6213,plain,
( complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))) != complement(join(sk1,complement(converse(complement(converse(sk1))))))
| meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) = meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))),meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))))) )],[refute_0_6211,refute_0_6212]) ).
cnf(refute_0_6214,plain,
meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) = meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(sk1,complement(converse(complement(converse(sk1))))))),complement(join(sk1,complement(converse(complement(converse(sk1))))))) )],[refute_0_6210,refute_0_6213]) ).
cnf(refute_0_6215,plain,
( meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) != complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))))
| meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) != meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1)))))))
| meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) = complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))),complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))))) ),[0],$fot(meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6216,plain,
( meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) != complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))))
| meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) = complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))),meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1)))))))) )],[refute_0_6214,refute_0_6215]) ).
cnf(refute_0_6217,plain,
join(complement(X_279),complement(converse(complement(converse(sk1))))) = complement(meet(X_279,converse(complement(converse(sk1))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(X_279)),bind(B,$fot(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6218,plain,
join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))) = join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))),
introduced(tautology,[refl,[$fot(join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6219,plain,
( join(complement(X_279),complement(converse(complement(converse(sk1))))) != complement(meet(X_279,converse(complement(converse(sk1)))))
| join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))) != join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1))))))
| join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))) = join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))),join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1))))))) ),[1,1],$fot(complement(meet(X_279,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6220,plain,
( join(complement(X_279),complement(converse(complement(converse(sk1))))) != complement(meet(X_279,converse(complement(converse(sk1)))))
| join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))) = join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))),join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1))))))) )],[refute_0_6218,refute_0_6219]) ).
cnf(refute_0_6221,plain,
join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))) = join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(X_279),complement(converse(complement(converse(sk1))))),complement(meet(X_279,converse(complement(converse(sk1)))))) )],[refute_0_6217,refute_0_6220]) ).
cnf(refute_0_6222,plain,
join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))) = join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))),
inference(subst,[],[refute_0_4153:[bind(X_155,$fot(sk1)),bind(X_156,$fot(complement(X_279))),bind(X_157,$fot(complement(converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6223,plain,
( join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))) != join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1))))))
| join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))) != join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))
| join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))) = join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))))),bind(Y,$fot(join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))))),bind(Z,$fot(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6224,plain,
( join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))) != join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))
| join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))) = join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))),join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1))))))) )],[refute_0_6222,refute_0_6223]) ).
cnf(refute_0_6225,plain,
join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))) = join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(X_279),complement(converse(complement(converse(sk1)))))),join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) )],[refute_0_6221,refute_0_6224]) ).
cnf(refute_0_6226,plain,
complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))) = complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))),
introduced(tautology,[refl,[$fot(complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6227,plain,
( complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))) != complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))))
| join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))) != join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))
| complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))) = complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))),complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))))) ),[1,0],$fot(join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6228,plain,
( join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))) != join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))
| complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))) = complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))),complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))))) )],[refute_0_6226,refute_0_6227]) ).
cnf(refute_0_6229,plain,
complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))) = complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))),join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) )],[refute_0_6225,refute_0_6228]) ).
cnf(refute_0_6230,plain,
( complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))) != complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))))
| meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) != complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))))
| meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) = complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))),complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))))) ),[1],$fot(complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6231,plain,
( meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) != complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))))
| meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) = complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1))))))),complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))))) )],[refute_0_6229,refute_0_6230]) ).
cnf(refute_0_6232,plain,
( meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))) != complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))))
| meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) = complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))),complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))))) )],[refute_0_6216,refute_0_6231]) ).
cnf(refute_0_6233,plain,
meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) = complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(meet(X_279,complement(meet(one,join(sk1,complement(converse(complement(converse(sk1)))))))),complement(join(complement(X_279),join(sk1,complement(converse(complement(converse(sk1)))))))) )],[refute_0_6206,refute_0_6232]) ).
cnf(refute_0_6234,plain,
join(zero,complement(B)) = join(zero,meet(join(zero,complement(B)),converse(complement(converse(complement(join(zero,complement(B)))))))),
inference(subst,[],[refute_0_1252:[bind(X_97,$fot(join(zero,complement(B))))]]) ).
cnf(refute_0_6235,plain,
( complement(join(zero,complement(B))) != meet(top,B)
| join(zero,complement(B)) != join(zero,meet(join(zero,complement(B)),converse(complement(converse(complement(join(zero,complement(B))))))))
| join(zero,complement(B)) = join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(zero,meet(join(zero,complement(B)),converse(complement(converse(complement(join(zero,complement(B))))))))) ),[1,1,1,0,0,0],$fot(meet(top,B))]]) ).
cnf(refute_0_6236,plain,
( join(zero,complement(B)) != join(zero,meet(join(zero,complement(B)),converse(complement(converse(complement(join(zero,complement(B))))))))
| join(zero,complement(B)) = join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),meet(top,B)) )],[refute_0_233,refute_0_6235]) ).
cnf(refute_0_6237,plain,
join(zero,complement(B)) = join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(zero,meet(join(zero,complement(B)),converse(complement(converse(complement(join(zero,complement(B))))))))) )],[refute_0_6234,refute_0_6236]) ).
cnf(refute_0_6238,plain,
( join(zero,complement(B)) != complement(B)
| join(zero,complement(B)) != join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))
| complement(B) = join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))) ),[0],$fot(complement(B))]]) ).
cnf(refute_0_6239,plain,
( join(zero,complement(B)) != join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))
| complement(B) = join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(B)) )],[refute_0_617,refute_0_6238]) ).
cnf(refute_0_6240,plain,
( complement(complement(B)) != B
| meet(top,B) != complement(complement(B))
| meet(top,B) = B ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(top,B))),bind(Y,$fot(complement(complement(B)))),bind(Z,$fot(B))]]) ).
cnf(refute_0_6241,plain,
( complement(complement(B)) != B
| meet(top,B) = B ),
inference(resolve,[$cnf( $equal(meet(top,B),complement(complement(B))) )],[refute_0_596,refute_0_6240]) ).
cnf(refute_0_6242,plain,
meet(top,B) = B,
inference(resolve,[$cnf( $equal(complement(complement(B)),B) )],[refute_0_650,refute_0_6241]) ).
cnf(refute_0_6243,plain,
converse(meet(top,B)) = converse(meet(top,B)),
introduced(tautology,[refl,[$fot(converse(meet(top,B)))]]) ).
cnf(refute_0_6244,plain,
( converse(meet(top,B)) != converse(meet(top,B))
| meet(top,B) != B
| converse(meet(top,B)) = converse(B) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(top,B)),converse(meet(top,B))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_6245,plain,
( meet(top,B) != B
| converse(meet(top,B)) = converse(B) ),
inference(resolve,[$cnf( $equal(converse(meet(top,B)),converse(meet(top,B))) )],[refute_0_6243,refute_0_6244]) ).
cnf(refute_0_6246,plain,
converse(meet(top,B)) = converse(B),
inference(resolve,[$cnf( $equal(meet(top,B),B) )],[refute_0_6242,refute_0_6245]) ).
cnf(refute_0_6247,plain,
complement(converse(meet(top,B))) = complement(converse(meet(top,B))),
introduced(tautology,[refl,[$fot(complement(converse(meet(top,B))))]]) ).
cnf(refute_0_6248,plain,
( complement(converse(meet(top,B))) != complement(converse(meet(top,B)))
| converse(meet(top,B)) != converse(B)
| complement(converse(meet(top,B))) = complement(converse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(top,B))),complement(converse(meet(top,B)))) ),[1,0],$fot(converse(B))]]) ).
cnf(refute_0_6249,plain,
( converse(meet(top,B)) != converse(B)
| complement(converse(meet(top,B))) = complement(converse(B)) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(top,B))),complement(converse(meet(top,B)))) )],[refute_0_6247,refute_0_6248]) ).
cnf(refute_0_6250,plain,
complement(converse(meet(top,B))) = complement(converse(B)),
inference(resolve,[$cnf( $equal(converse(meet(top,B)),converse(B)) )],[refute_0_6246,refute_0_6249]) ).
cnf(refute_0_6251,plain,
converse(complement(converse(meet(top,B)))) = converse(complement(converse(meet(top,B)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(meet(top,B)))))]]) ).
cnf(refute_0_6252,plain,
( complement(converse(meet(top,B))) != complement(converse(B))
| converse(complement(converse(meet(top,B)))) != converse(complement(converse(meet(top,B))))
| converse(complement(converse(meet(top,B)))) = converse(complement(converse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(meet(top,B)))),converse(complement(converse(meet(top,B))))) ),[1,0],$fot(complement(converse(B)))]]) ).
cnf(refute_0_6253,plain,
( complement(converse(meet(top,B))) != complement(converse(B))
| converse(complement(converse(meet(top,B)))) = converse(complement(converse(B))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(meet(top,B)))),converse(complement(converse(meet(top,B))))) )],[refute_0_6251,refute_0_6252]) ).
cnf(refute_0_6254,plain,
converse(complement(converse(meet(top,B)))) = converse(complement(converse(B))),
inference(resolve,[$cnf( $equal(complement(converse(meet(top,B))),complement(converse(B))) )],[refute_0_6250,refute_0_6253]) ).
cnf(refute_0_6255,plain,
meet(complement(B),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(meet(top,B))))),
introduced(tautology,[refl,[$fot(meet(complement(B),converse(complement(converse(meet(top,B))))))]]) ).
cnf(refute_0_6256,plain,
( converse(complement(converse(meet(top,B)))) != converse(complement(converse(B)))
| meet(complement(B),converse(complement(converse(meet(top,B))))) != meet(complement(B),converse(complement(converse(meet(top,B)))))
| meet(complement(B),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(B)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(B),converse(complement(converse(meet(top,B))))),meet(complement(B),converse(complement(converse(meet(top,B)))))) ),[1,1],$fot(converse(complement(converse(B))))]]) ).
cnf(refute_0_6257,plain,
( converse(complement(converse(meet(top,B)))) != converse(complement(converse(B)))
| meet(complement(B),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(B)))) ),
inference(resolve,[$cnf( $equal(meet(complement(B),converse(complement(converse(meet(top,B))))),meet(complement(B),converse(complement(converse(meet(top,B)))))) )],[refute_0_6255,refute_0_6256]) ).
cnf(refute_0_6258,plain,
meet(complement(B),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(B)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(meet(top,B)))),converse(complement(converse(B)))) )],[refute_0_6254,refute_0_6257]) ).
cnf(refute_0_6259,plain,
meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))]]) ).
cnf(refute_0_6260,plain,
( join(zero,complement(B)) != complement(B)
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) != meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(meet(top,B))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) ),[1,0],$fot(complement(B))]]) ).
cnf(refute_0_6261,plain,
( join(zero,complement(B)) != complement(B)
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(meet(top,B))))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) )],[refute_0_6259,refute_0_6260]) ).
cnf(refute_0_6262,plain,
meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(meet(top,B))))),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(B)) )],[refute_0_617,refute_0_6261]) ).
cnf(refute_0_6263,plain,
( meet(complement(B),converse(complement(converse(meet(top,B))))) != meet(complement(B),converse(complement(converse(B))))
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) != meet(complement(B),converse(complement(converse(meet(top,B)))))
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(B)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))),bind(Y,$fot(meet(complement(B),converse(complement(converse(meet(top,B))))))),bind(Z,$fot(meet(complement(B),converse(complement(converse(B))))))]]) ).
cnf(refute_0_6264,plain,
( meet(complement(B),converse(complement(converse(meet(top,B))))) != meet(complement(B),converse(complement(converse(B))))
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(B)))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))),meet(complement(B),converse(complement(converse(meet(top,B)))))) )],[refute_0_6262,refute_0_6263]) ).
cnf(refute_0_6265,plain,
meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(B)))),
inference(resolve,[$cnf( $equal(meet(complement(B),converse(complement(converse(meet(top,B))))),meet(complement(B),converse(complement(converse(B))))) )],[refute_0_6258,refute_0_6264]) ).
cnf(refute_0_6266,plain,
join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))))]]) ).
cnf(refute_0_6267,plain,
( join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) != meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) != meet(complement(B),converse(complement(converse(B))))
| join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = meet(complement(B),converse(complement(converse(B)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))))),bind(Y,$fot(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))),bind(Z,$fot(meet(complement(B),converse(complement(converse(B))))))]]) ).
cnf(refute_0_6268,plain,
( meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) != meet(complement(B),converse(complement(converse(B))))
| join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = meet(complement(B),converse(complement(converse(B)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) )],[refute_0_6266,refute_0_6267]) ).
cnf(refute_0_6269,plain,
join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = meet(complement(B),converse(complement(converse(B)))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))),meet(complement(B),converse(complement(converse(B))))) )],[refute_0_6265,refute_0_6268]) ).
cnf(refute_0_6270,plain,
( complement(B) != join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))
| join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) != meet(complement(B),converse(complement(converse(B))))
| complement(B) = meet(complement(B),converse(complement(converse(B)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(B),meet(complement(B),converse(complement(converse(B))))) ),[0],$fot(join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))))]]) ).
cnf(refute_0_6271,plain,
( complement(B) != join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))
| complement(B) = meet(complement(B),converse(complement(converse(B)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),meet(complement(B),converse(complement(converse(B))))) )],[refute_0_6269,refute_0_6270]) ).
cnf(refute_0_6272,plain,
( join(zero,complement(B)) != join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))
| complement(B) = meet(complement(B),converse(complement(converse(B)))) ),
inference(resolve,[$cnf( $equal(complement(B),join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))) )],[refute_0_6239,refute_0_6271]) ).
cnf(refute_0_6273,plain,
complement(B) = meet(complement(B),converse(complement(converse(B)))),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))) )],[refute_0_6237,refute_0_6272]) ).
cnf(refute_0_6274,plain,
( complement(B) != meet(complement(B),converse(complement(converse(B))))
| meet(complement(B),converse(complement(converse(B)))) = complement(B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(B))),bind(Y,$fot(meet(complement(B),converse(complement(converse(B))))))]]) ).
cnf(refute_0_6275,plain,
meet(complement(B),converse(complement(converse(B)))) = complement(B),
inference(resolve,[$cnf( $equal(complement(B),meet(complement(B),converse(complement(converse(B))))) )],[refute_0_6273,refute_0_6274]) ).
cnf(refute_0_6276,plain,
meet(complement(sk1),converse(complement(converse(sk1)))) = complement(sk1),
inference(subst,[],[refute_0_6275:[bind(B,$fot(sk1))]]) ).
cnf(refute_0_6277,plain,
meet(converse(complement(converse(sk1))),complement(sk1)) = meet(complement(sk1),converse(complement(converse(sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(sk1))),bind(X_7,$fot(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6278,plain,
( meet(complement(sk1),converse(complement(converse(sk1)))) != complement(sk1)
| meet(converse(complement(converse(sk1))),complement(sk1)) != meet(complement(sk1),converse(complement(converse(sk1))))
| meet(converse(complement(converse(sk1))),complement(sk1)) = complement(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(converse(sk1))),complement(sk1)))),bind(Y,$fot(meet(complement(sk1),converse(complement(converse(sk1)))))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_6279,plain,
( meet(complement(sk1),converse(complement(converse(sk1)))) != complement(sk1)
| meet(converse(complement(converse(sk1))),complement(sk1)) = complement(sk1) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(sk1))),complement(sk1)),meet(complement(sk1),converse(complement(converse(sk1))))) )],[refute_0_6277,refute_0_6278]) ).
cnf(refute_0_6280,plain,
meet(converse(complement(converse(sk1))),complement(sk1)) = complement(sk1),
inference(resolve,[$cnf( $equal(meet(complement(sk1),converse(complement(converse(sk1)))),complement(sk1)) )],[refute_0_6276,refute_0_6279]) ).
cnf(refute_0_6281,plain,
complement(join(sk1,complement(converse(complement(converse(sk1)))))) = meet(converse(complement(converse(sk1))),complement(sk1)),
inference(subst,[],[refute_0_5261:[bind(X_279,$fot(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6282,plain,
( complement(join(sk1,complement(converse(complement(converse(sk1)))))) != meet(converse(complement(converse(sk1))),complement(sk1))
| meet(converse(complement(converse(sk1))),complement(sk1)) != complement(sk1)
| complement(join(sk1,complement(converse(complement(converse(sk1)))))) = complement(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(sk1,complement(converse(complement(converse(sk1)))))))),bind(Y,$fot(meet(converse(complement(converse(sk1))),complement(sk1)))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_6283,plain,
( meet(converse(complement(converse(sk1))),complement(sk1)) != complement(sk1)
| complement(join(sk1,complement(converse(complement(converse(sk1)))))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(converse(complement(converse(sk1)))))),meet(converse(complement(converse(sk1))),complement(sk1))) )],[refute_0_6281,refute_0_6282]) ).
cnf(refute_0_6284,plain,
complement(join(sk1,complement(converse(complement(converse(sk1)))))) = complement(sk1),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(sk1))),complement(sk1)),complement(sk1)) )],[refute_0_6280,refute_0_6283]) ).
cnf(refute_0_6285,plain,
meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) = meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))),
introduced(tautology,[refl,[$fot(meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6286,plain,
( complement(join(sk1,complement(converse(complement(converse(sk1)))))) != complement(sk1)
| meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) != meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1)))))))
| meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) = meet(X_279,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))),meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1)))))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_6287,plain,
( complement(join(sk1,complement(converse(complement(converse(sk1)))))) != complement(sk1)
| meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) = meet(X_279,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))),meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1)))))))) )],[refute_0_6285,refute_0_6286]) ).
cnf(refute_0_6288,plain,
meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) = meet(X_279,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(converse(complement(converse(sk1)))))),complement(sk1)) )],[refute_0_6284,refute_0_6287]) ).
cnf(refute_0_6289,plain,
( meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) != complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))))
| meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) != meet(X_279,complement(sk1))
| meet(X_279,complement(sk1)) = complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))),complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))))) ),[0],$fot(meet(X_279,complement(sk1)))]]) ).
cnf(refute_0_6290,plain,
( meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) != complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))))
| meet(X_279,complement(sk1)) = complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))),meet(X_279,complement(sk1))) )],[refute_0_6288,refute_0_6289]) ).
cnf(refute_0_6291,plain,
meet(meet(X_279,converse(complement(converse(sk1)))),complement(sk1)) = meet(complement(sk1),meet(X_279,converse(complement(converse(sk1))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(sk1))),bind(X_7,$fot(meet(X_279,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6292,plain,
complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) = meet(meet(X_279,converse(complement(converse(sk1)))),complement(sk1)),
inference(subst,[],[refute_0_5261:[bind(X_279,$fot(meet(X_279,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6293,plain,
( complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) != meet(meet(X_279,converse(complement(converse(sk1)))),complement(sk1))
| meet(meet(X_279,converse(complement(converse(sk1)))),complement(sk1)) != meet(complement(sk1),meet(X_279,converse(complement(converse(sk1)))))
| complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) = meet(complement(sk1),meet(X_279,converse(complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))))),bind(Y,$fot(meet(meet(X_279,converse(complement(converse(sk1)))),complement(sk1)))),bind(Z,$fot(meet(complement(sk1),meet(X_279,converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6294,plain,
( meet(meet(X_279,converse(complement(converse(sk1)))),complement(sk1)) != meet(complement(sk1),meet(X_279,converse(complement(converse(sk1)))))
| complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) = meet(complement(sk1),meet(X_279,converse(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))),meet(meet(X_279,converse(complement(converse(sk1)))),complement(sk1))) )],[refute_0_6292,refute_0_6293]) ).
cnf(refute_0_6295,plain,
complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) = meet(complement(sk1),meet(X_279,converse(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(meet(X_279,converse(complement(converse(sk1)))),complement(sk1)),meet(complement(sk1),meet(X_279,converse(complement(converse(sk1)))))) )],[refute_0_6291,refute_0_6294]) ).
cnf(refute_0_6296,plain,
( complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))) != meet(complement(sk1),meet(X_279,converse(complement(converse(sk1)))))
| meet(X_279,complement(sk1)) != complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))))
| meet(X_279,complement(sk1)) = meet(complement(sk1),meet(X_279,converse(complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(sk1)),complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))))) ),[1],$fot(meet(complement(sk1),meet(X_279,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6297,plain,
( meet(X_279,complement(sk1)) != complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))))
| meet(X_279,complement(sk1)) = meet(complement(sk1),meet(X_279,converse(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1))))))),meet(complement(sk1),meet(X_279,converse(complement(converse(sk1)))))) )],[refute_0_6295,refute_0_6296]) ).
cnf(refute_0_6298,plain,
( meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))) != complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))))
| meet(X_279,complement(sk1)) = meet(complement(sk1),meet(X_279,converse(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(sk1)),complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))))) )],[refute_0_6290,refute_0_6297]) ).
cnf(refute_0_6299,plain,
meet(X_279,complement(sk1)) = meet(complement(sk1),meet(X_279,converse(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(X_279,complement(join(sk1,complement(converse(complement(converse(sk1))))))),complement(join(sk1,complement(meet(X_279,converse(complement(converse(sk1)))))))) )],[refute_0_6233,refute_0_6298]) ).
cnf(refute_0_6300,plain,
( meet(X_279,complement(sk1)) != meet(complement(sk1),meet(X_279,converse(complement(converse(sk1)))))
| meet(complement(sk1),meet(X_279,converse(complement(converse(sk1))))) = meet(X_279,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_279,complement(sk1)))),bind(Y,$fot(meet(complement(sk1),meet(X_279,converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6301,plain,
meet(complement(sk1),meet(X_279,converse(complement(converse(sk1))))) = meet(X_279,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(X_279,complement(sk1)),meet(complement(sk1),meet(X_279,converse(complement(converse(sk1)))))) )],[refute_0_6299,refute_0_6300]) ).
cnf(refute_0_6302,plain,
meet(complement(sk1),meet(one,converse(complement(converse(sk1))))) = meet(one,complement(sk1)),
inference(subst,[],[refute_0_6301:[bind(X_279,$fot(one))]]) ).
cnf(refute_0_6303,plain,
meet(meet(one,complement(sk1)),X_318) = meet(complement(sk1),meet(one,X_318)),
inference(subst,[],[refute_0_5435:[bind(X_7,$fot(X_318))]]) ).
cnf(refute_0_6304,plain,
meet(X_318,one) = meet(one,X_318),
inference(subst,[],[refute_0_33:[bind(X_6,$fot(X_318)),bind(X_7,$fot(one))]]) ).
cnf(refute_0_6305,plain,
( meet(X_318,one) != meet(one,X_318)
| meet(one,X_318) = meet(X_318,one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_318,one))),bind(Y,$fot(meet(one,X_318)))]]) ).
cnf(refute_0_6306,plain,
meet(one,X_318) = meet(X_318,one),
inference(resolve,[$cnf( $equal(meet(X_318,one),meet(one,X_318)) )],[refute_0_6304,refute_0_6305]) ).
cnf(refute_0_6307,plain,
( meet(meet(one,complement(sk1)),X_318) != meet(complement(sk1),meet(one,X_318))
| meet(one,X_318) != meet(X_318,one)
| meet(meet(one,complement(sk1)),X_318) = meet(complement(sk1),meet(X_318,one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(sk1)),X_318),meet(complement(sk1),meet(one,X_318))) ),[1,1],$fot(meet(X_318,one))]]) ).
cnf(refute_0_6308,plain,
( meet(meet(one,complement(sk1)),X_318) != meet(complement(sk1),meet(one,X_318))
| meet(meet(one,complement(sk1)),X_318) = meet(complement(sk1),meet(X_318,one)) ),
inference(resolve,[$cnf( $equal(meet(one,X_318),meet(X_318,one)) )],[refute_0_6306,refute_0_6307]) ).
cnf(refute_0_6309,plain,
meet(meet(one,complement(sk1)),X_318) = meet(complement(sk1),meet(X_318,one)),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(sk1)),X_318),meet(complement(sk1),meet(one,X_318))) )],[refute_0_6303,refute_0_6308]) ).
cnf(refute_0_6310,plain,
( meet(meet(one,complement(sk1)),X_318) != meet(complement(sk1),meet(X_318,one))
| meet(meet(one,complement(sk1)),X_318) != meet(complement(sk1),meet(one,X_318))
| meet(complement(sk1),meet(one,X_318)) = meet(complement(sk1),meet(X_318,one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(sk1)),X_318),meet(complement(sk1),meet(X_318,one))) ),[0],$fot(meet(complement(sk1),meet(one,X_318)))]]) ).
cnf(refute_0_6311,plain,
( meet(meet(one,complement(sk1)),X_318) != meet(complement(sk1),meet(X_318,one))
| meet(complement(sk1),meet(one,X_318)) = meet(complement(sk1),meet(X_318,one)) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(sk1)),X_318),meet(complement(sk1),meet(one,X_318))) )],[refute_0_6303,refute_0_6310]) ).
cnf(refute_0_6312,plain,
meet(complement(sk1),meet(one,X_318)) = meet(complement(sk1),meet(X_318,one)),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(sk1)),X_318),meet(complement(sk1),meet(X_318,one))) )],[refute_0_6309,refute_0_6311]) ).
cnf(refute_0_6313,plain,
( meet(complement(sk1),meet(one,X_318)) != meet(complement(sk1),meet(X_318,one))
| meet(complement(sk1),meet(X_318,one)) = meet(complement(sk1),meet(one,X_318)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(sk1),meet(one,X_318)))),bind(Y,$fot(meet(complement(sk1),meet(X_318,one))))]]) ).
cnf(refute_0_6314,plain,
meet(complement(sk1),meet(X_318,one)) = meet(complement(sk1),meet(one,X_318)),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(one,X_318)),meet(complement(sk1),meet(X_318,one))) )],[refute_0_6312,refute_0_6313]) ).
cnf(refute_0_6315,plain,
meet(complement(sk1),meet(converse(complement(converse(sk1))),one)) = meet(complement(sk1),meet(one,converse(complement(converse(sk1))))),
inference(subst,[],[refute_0_6314:[bind(X_318,$fot(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6316,plain,
( meet(complement(sk1),meet(converse(complement(converse(sk1))),one)) != meet(complement(sk1),meet(one,converse(complement(converse(sk1)))))
| meet(complement(sk1),meet(one,converse(complement(converse(sk1))))) != meet(one,complement(sk1))
| meet(complement(sk1),meet(converse(complement(converse(sk1))),one)) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(sk1),meet(converse(complement(converse(sk1))),one)))),bind(Y,$fot(meet(complement(sk1),meet(one,converse(complement(converse(sk1))))))),bind(Z,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_6317,plain,
( meet(complement(sk1),meet(one,converse(complement(converse(sk1))))) != meet(one,complement(sk1))
| meet(complement(sk1),meet(converse(complement(converse(sk1))),one)) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(converse(complement(converse(sk1))),one)),meet(complement(sk1),meet(one,converse(complement(converse(sk1)))))) )],[refute_0_6315,refute_0_6316]) ).
cnf(refute_0_6318,plain,
meet(complement(sk1),meet(converse(complement(converse(sk1))),one)) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(one,converse(complement(converse(sk1))))),meet(one,complement(sk1))) )],[refute_0_6302,refute_0_6317]) ).
cnf(refute_0_6319,plain,
meet(X_316,meet(one,complement(sk1))) = meet(complement(sk1),meet(one,X_316)),
inference(subst,[],[refute_0_5431:[bind(X_279,$fot(X_316))]]) ).
cnf(refute_0_6320,plain,
meet(X_316,one) = meet(one,X_316),
inference(subst,[],[refute_0_33:[bind(X_6,$fot(X_316)),bind(X_7,$fot(one))]]) ).
cnf(refute_0_6321,plain,
( meet(X_316,one) != meet(one,X_316)
| meet(one,X_316) = meet(X_316,one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_316,one))),bind(Y,$fot(meet(one,X_316)))]]) ).
cnf(refute_0_6322,plain,
meet(one,X_316) = meet(X_316,one),
inference(resolve,[$cnf( $equal(meet(X_316,one),meet(one,X_316)) )],[refute_0_6320,refute_0_6321]) ).
cnf(refute_0_6323,plain,
( meet(X_316,meet(one,complement(sk1))) != meet(complement(sk1),meet(one,X_316))
| meet(one,X_316) != meet(X_316,one)
| meet(X_316,meet(one,complement(sk1))) = meet(complement(sk1),meet(X_316,one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_316,meet(one,complement(sk1))),meet(complement(sk1),meet(one,X_316))) ),[1,1],$fot(meet(X_316,one))]]) ).
cnf(refute_0_6324,plain,
( meet(X_316,meet(one,complement(sk1))) != meet(complement(sk1),meet(one,X_316))
| meet(X_316,meet(one,complement(sk1))) = meet(complement(sk1),meet(X_316,one)) ),
inference(resolve,[$cnf( $equal(meet(one,X_316),meet(X_316,one)) )],[refute_0_6322,refute_0_6323]) ).
cnf(refute_0_6325,plain,
meet(X_316,meet(one,complement(sk1))) = meet(complement(sk1),meet(X_316,one)),
inference(resolve,[$cnf( $equal(meet(X_316,meet(one,complement(sk1))),meet(complement(sk1),meet(one,X_316))) )],[refute_0_6319,refute_0_6324]) ).
cnf(refute_0_6326,plain,
meet(converse(complement(converse(sk1))),meet(one,complement(sk1))) = meet(complement(sk1),meet(converse(complement(converse(sk1))),one)),
inference(subst,[],[refute_0_6325:[bind(X_316,$fot(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6327,plain,
( meet(complement(sk1),meet(converse(complement(converse(sk1))),one)) != meet(one,complement(sk1))
| meet(converse(complement(converse(sk1))),meet(one,complement(sk1))) != meet(complement(sk1),meet(converse(complement(converse(sk1))),one))
| meet(converse(complement(converse(sk1))),meet(one,complement(sk1))) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(converse(sk1))),meet(one,complement(sk1))))),bind(Y,$fot(meet(complement(sk1),meet(converse(complement(converse(sk1))),one)))),bind(Z,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_6328,plain,
( meet(complement(sk1),meet(converse(complement(converse(sk1))),one)) != meet(one,complement(sk1))
| meet(converse(complement(converse(sk1))),meet(one,complement(sk1))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(sk1))),meet(one,complement(sk1))),meet(complement(sk1),meet(converse(complement(converse(sk1))),one))) )],[refute_0_6326,refute_0_6327]) ).
cnf(refute_0_6329,plain,
meet(converse(complement(converse(sk1))),meet(one,complement(sk1))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(converse(complement(converse(sk1))),one)),meet(one,complement(sk1))) )],[refute_0_6318,refute_0_6328]) ).
cnf(refute_0_6330,plain,
converse(meet(one,complement(converse(sk1)))) = converse(meet(one,complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(converse(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_6331,plain,
( converse(meet(one,complement(converse(sk1)))) != converse(meet(one,complement(converse(sk1))))
| meet(one,complement(converse(sk1))) != converse(meet(one,complement(sk1)))
| converse(meet(one,complement(converse(sk1)))) = converse(converse(meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(converse(sk1)))),converse(meet(one,complement(converse(sk1))))) ),[1,0],$fot(converse(meet(one,complement(sk1))))]]) ).
cnf(refute_0_6332,plain,
( meet(one,complement(converse(sk1))) != converse(meet(one,complement(sk1)))
| converse(meet(one,complement(converse(sk1)))) = converse(converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(sk1)))),converse(meet(one,complement(converse(sk1))))) )],[refute_0_6330,refute_0_6331]) ).
cnf(refute_0_6333,plain,
converse(meet(one,complement(converse(sk1)))) = converse(converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(sk1))),converse(meet(one,complement(sk1)))) )],[refute_0_4995,refute_0_6332]) ).
cnf(refute_0_6334,plain,
( converse(converse(meet(one,complement(sk1)))) != meet(one,complement(sk1))
| converse(meet(one,complement(converse(sk1)))) != converse(converse(meet(one,complement(sk1))))
| converse(meet(one,complement(converse(sk1)))) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(meet(one,complement(converse(sk1)))))),bind(Y,$fot(converse(converse(meet(one,complement(sk1)))))),bind(Z,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_6335,plain,
( converse(converse(meet(one,complement(sk1)))) != meet(one,complement(sk1))
| converse(meet(one,complement(converse(sk1)))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(sk1)))),converse(converse(meet(one,complement(sk1))))) )],[refute_0_6333,refute_0_6334]) ).
cnf(refute_0_6336,plain,
converse(meet(one,complement(converse(sk1)))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(converse(converse(meet(one,complement(sk1)))),meet(one,complement(sk1))) )],[refute_0_5242,refute_0_6335]) ).
cnf(refute_0_6337,plain,
meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))) = meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6338,plain,
( converse(meet(one,complement(converse(sk1)))) != meet(one,complement(sk1))
| meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))) != meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))
| meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))) = meet(converse(complement(converse(sk1))),meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) ),[1,1],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_6339,plain,
( converse(meet(one,complement(converse(sk1)))) != meet(one,complement(sk1))
| meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))) = meet(converse(complement(converse(sk1))),meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6337,refute_0_6338]) ).
cnf(refute_0_6340,plain,
meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))) = meet(converse(complement(converse(sk1))),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(sk1)))),meet(one,complement(sk1))) )],[refute_0_6336,refute_0_6339]) ).
cnf(refute_0_6341,plain,
( meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))) != meet(converse(complement(converse(sk1))),meet(one,complement(sk1)))
| meet(converse(complement(converse(sk1))),meet(one,complement(sk1))) != meet(one,complement(sk1))
| meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))))),bind(Y,$fot(meet(converse(complement(converse(sk1))),meet(one,complement(sk1))))),bind(Z,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_6342,plain,
( meet(converse(complement(converse(sk1))),meet(one,complement(sk1))) != meet(one,complement(sk1))
| meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))),meet(converse(complement(converse(sk1))),meet(one,complement(sk1)))) )],[refute_0_6340,refute_0_6341]) ).
cnf(refute_0_6343,plain,
meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(sk1))),meet(one,complement(sk1))),meet(one,complement(sk1))) )],[refute_0_6329,refute_0_6342]) ).
cnf(refute_0_6344,plain,
join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) = join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6345,plain,
( join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) != join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))))
| meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))) != meet(one,complement(sk1))
| join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) = join(complement(one),meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))),join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))))) ),[1,1],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_6346,plain,
( meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))) != meet(one,complement(sk1))
| join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) = join(complement(one),meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))),join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6344,refute_0_6345]) ).
cnf(refute_0_6347,plain,
join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) = join(complement(one),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))),meet(one,complement(sk1))) )],[refute_0_6343,refute_0_6346]) ).
cnf(refute_0_6348,plain,
( join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) != join(complement(one),meet(one,complement(sk1)))
| join(complement(one),meet(one,complement(sk1))) != complement(sk1)
| join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) = complement(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))))),bind(Y,$fot(join(complement(one),meet(one,complement(sk1))))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_6349,plain,
( join(complement(one),meet(one,complement(sk1))) != complement(sk1)
| join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))),join(complement(one),meet(one,complement(sk1)))) )],[refute_0_6347,refute_0_6348]) ).
cnf(refute_0_6350,plain,
join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) = complement(sk1),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(sk1))),complement(sk1)) )],[refute_0_2235,refute_0_6349]) ).
cnf(refute_0_6351,plain,
( converse(complement(converse(sk1))) != join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))))
| join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))) != complement(sk1)
| converse(complement(converse(sk1))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(sk1))),complement(sk1)) ),[0],$fot(join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6352,plain,
( converse(complement(converse(sk1))) != join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))))
| converse(complement(converse(sk1))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1)))))),complement(sk1)) )],[refute_0_6350,refute_0_6351]) ).
cnf(refute_0_6353,plain,
converse(complement(converse(sk1))) = complement(sk1),
inference(resolve,[$cnf( $equal(converse(complement(converse(sk1))),join(complement(one),meet(converse(complement(converse(sk1))),converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6045,refute_0_6352]) ).
cnf(refute_0_6354,plain,
( converse(complement(converse(sk1))) != complement(sk1)
| meet(sk1,composition(complement(converse(sk1)),complement(converse(complement(converse(sk1)))))) != zero
| meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,composition(complement(converse(sk1)),complement(converse(complement(converse(sk1)))))),zero) ),[0,1,1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_6355,plain,
( meet(sk1,composition(complement(converse(sk1)),complement(converse(complement(converse(sk1)))))) != zero
| meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(converse(sk1))),complement(sk1)) )],[refute_0_6353,refute_0_6354]) ).
cnf(refute_0_6356,plain,
meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))) = zero,
inference(resolve,[$cnf( $equal(meet(sk1,composition(complement(converse(sk1)),complement(converse(complement(converse(sk1)))))),zero) )],[refute_0_5902,refute_0_6355]) ).
cnf(refute_0_6357,plain,
composition(complement(converse(sk1)),complement(complement(sk1))) = composition(complement(converse(sk1)),complement(complement(sk1))),
introduced(tautology,[refl,[$fot(composition(complement(converse(sk1)),complement(complement(sk1))))]]) ).
cnf(refute_0_6358,plain,
( complement(complement(sk1)) != sk1
| composition(complement(converse(sk1)),complement(complement(sk1))) != composition(complement(converse(sk1)),complement(complement(sk1)))
| composition(complement(converse(sk1)),complement(complement(sk1))) = composition(complement(converse(sk1)),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(sk1)),complement(complement(sk1))),composition(complement(converse(sk1)),complement(complement(sk1)))) ),[1,1],$fot(sk1)]]) ).
cnf(refute_0_6359,plain,
( complement(complement(sk1)) != sk1
| composition(complement(converse(sk1)),complement(complement(sk1))) = composition(complement(converse(sk1)),sk1) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(sk1)),complement(complement(sk1))),composition(complement(converse(sk1)),complement(complement(sk1)))) )],[refute_0_6357,refute_0_6358]) ).
cnf(refute_0_6360,plain,
composition(complement(converse(sk1)),complement(complement(sk1))) = composition(complement(converse(sk1)),sk1),
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_2273,refute_0_6359]) ).
cnf(refute_0_6361,plain,
meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))) = meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))),
introduced(tautology,[refl,[$fot(meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))))]]) ).
cnf(refute_0_6362,plain,
( composition(complement(converse(sk1)),complement(complement(sk1))) != composition(complement(converse(sk1)),sk1)
| meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))) != meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1))))
| meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))) = meet(sk1,composition(complement(converse(sk1)),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))),meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1))))) ),[1,1],$fot(composition(complement(converse(sk1)),sk1))]]) ).
cnf(refute_0_6363,plain,
( composition(complement(converse(sk1)),complement(complement(sk1))) != composition(complement(converse(sk1)),sk1)
| meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))) = meet(sk1,composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))),meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1))))) )],[refute_0_6361,refute_0_6362]) ).
cnf(refute_0_6364,plain,
meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))) = meet(sk1,composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(composition(complement(converse(sk1)),complement(complement(sk1))),composition(complement(converse(sk1)),sk1)) )],[refute_0_6360,refute_0_6363]) ).
cnf(refute_0_6365,plain,
( meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))) != meet(sk1,composition(complement(converse(sk1)),sk1))
| meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))) != zero
| meet(sk1,composition(complement(converse(sk1)),sk1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))),zero) ),[0],$fot(meet(sk1,composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_6366,plain,
( meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))) != zero
| meet(sk1,composition(complement(converse(sk1)),sk1)) = zero ),
inference(resolve,[$cnf( $equal(meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))),meet(sk1,composition(complement(converse(sk1)),sk1))) )],[refute_0_6364,refute_0_6365]) ).
cnf(refute_0_6367,plain,
meet(sk1,composition(complement(converse(sk1)),sk1)) = zero,
inference(resolve,[$cnf( $equal(meet(sk1,composition(complement(converse(sk1)),complement(complement(sk1)))),zero) )],[refute_0_6356,refute_0_6366]) ).
cnf(refute_0_6368,plain,
( composition(complement(converse(sk1)),sk1) != meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),meet(sk1,composition(complement(converse(sk1)),sk1))))
| meet(sk1,composition(complement(converse(sk1)),sk1)) != zero
| composition(complement(converse(sk1)),sk1) = meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(sk1)),sk1),meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),meet(sk1,composition(complement(converse(sk1)),sk1))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_6369,plain,
( composition(complement(converse(sk1)),sk1) != meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),meet(sk1,composition(complement(converse(sk1)),sk1))))
| composition(complement(converse(sk1)),sk1) = meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)) ),
inference(resolve,[$cnf( $equal(meet(sk1,composition(complement(converse(sk1)),sk1)),zero) )],[refute_0_6367,refute_0_6368]) ).
cnf(refute_0_6370,plain,
composition(complement(converse(sk1)),sk1) = meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)),
inference(resolve,[$cnf( $equal(composition(complement(converse(sk1)),sk1),meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),meet(sk1,composition(complement(converse(sk1)),sk1))))) )],[refute_0_5848,refute_0_6369]) ).
cnf(refute_0_6371,plain,
meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)) = meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_6372,plain,
( join(zero,complement(sk1)) != complement(sk1)
| meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)) != meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1))
| meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)) = meet(complement(sk1),composition(complement(converse(sk1)),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)),meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_6373,plain,
( join(zero,complement(sk1)) != complement(sk1)
| meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)) = meet(complement(sk1),composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)),meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1))) )],[refute_0_6371,refute_0_6372]) ).
cnf(refute_0_6374,plain,
meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)) = meet(complement(sk1),composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(join(zero,complement(sk1)),complement(sk1)) )],[refute_0_1869,refute_0_6373]) ).
cnf(refute_0_6375,plain,
meet(composition(complement(converse(sk1)),sk1),join(zero,complement(sk1))) = meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(join(zero,complement(sk1)))),bind(X_7,$fot(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_6376,plain,
meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)) = meet(composition(complement(converse(sk1)),sk1),join(zero,complement(sk1))),
inference(subst,[],[refute_0_3704:[bind(X_287,$fot(zero)),bind(X_298,$fot(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_6377,plain,
( meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)) != meet(composition(complement(converse(sk1)),sk1),join(zero,complement(sk1)))
| meet(composition(complement(converse(sk1)),sk1),join(zero,complement(sk1))) != meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1))
| meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)) = meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)))),bind(Y,$fot(meet(composition(complement(converse(sk1)),sk1),join(zero,complement(sk1))))),bind(Z,$fot(meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_6378,plain,
( meet(composition(complement(converse(sk1)),sk1),join(zero,complement(sk1))) != meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1))
| meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)) = meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)),meet(composition(complement(converse(sk1)),sk1),join(zero,complement(sk1)))) )],[refute_0_6376,refute_0_6377]) ).
cnf(refute_0_6379,plain,
meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)) = meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(meet(composition(complement(converse(sk1)),sk1),join(zero,complement(sk1))),meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1))) )],[refute_0_6375,refute_0_6378]) ).
cnf(refute_0_6380,plain,
( meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)) != meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1))
| meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)) != meet(complement(sk1),composition(complement(converse(sk1)),sk1))
| meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)) = meet(complement(sk1),composition(complement(converse(sk1)),sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)))),bind(Y,$fot(meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)))),bind(Z,$fot(meet(complement(sk1),composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_6381,plain,
( meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)) != meet(complement(sk1),composition(complement(converse(sk1)),sk1))
| meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)) = meet(complement(sk1),composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)),meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1))) )],[refute_0_6379,refute_0_6380]) ).
cnf(refute_0_6382,plain,
meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)) = meet(complement(sk1),composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(sk1)),composition(complement(converse(sk1)),sk1)),meet(complement(sk1),composition(complement(converse(sk1)),sk1))) )],[refute_0_6374,refute_0_6381]) ).
cnf(refute_0_6383,plain,
( composition(complement(converse(sk1)),sk1) != meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero))
| meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)) != meet(complement(sk1),composition(complement(converse(sk1)),sk1))
| composition(complement(converse(sk1)),sk1) = meet(complement(sk1),composition(complement(converse(sk1)),sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(converse(sk1)),sk1),meet(complement(sk1),composition(complement(converse(sk1)),sk1))) ),[0],$fot(meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)))]]) ).
cnf(refute_0_6384,plain,
( composition(complement(converse(sk1)),sk1) != meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero))
| composition(complement(converse(sk1)),sk1) = meet(complement(sk1),composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero)),meet(complement(sk1),composition(complement(converse(sk1)),sk1))) )],[refute_0_6382,refute_0_6383]) ).
cnf(refute_0_6385,plain,
composition(complement(converse(sk1)),sk1) = meet(complement(sk1),composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(composition(complement(converse(sk1)),sk1),meet(composition(complement(converse(sk1)),sk1),join(complement(sk1),zero))) )],[refute_0_6370,refute_0_6384]) ).
cnf(refute_0_6386,plain,
( composition(complement(converse(sk1)),sk1) != meet(complement(sk1),composition(complement(converse(sk1)),sk1))
| meet(complement(sk1),composition(complement(converse(sk1)),sk1)) = composition(complement(converse(sk1)),sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(complement(converse(sk1)),sk1))),bind(Y,$fot(meet(complement(sk1),composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_6387,plain,
meet(complement(sk1),composition(complement(converse(sk1)),sk1)) = composition(complement(converse(sk1)),sk1),
inference(resolve,[$cnf( $equal(composition(complement(converse(sk1)),sk1),meet(complement(sk1),composition(complement(converse(sk1)),sk1))) )],[refute_0_6385,refute_0_6386]) ).
cnf(refute_0_6388,plain,
( complement(sk1) != join(meet(complement(sk1),composition(complement(converse(sk1)),sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)))
| meet(complement(sk1),composition(complement(converse(sk1)),sk1)) != composition(complement(converse(sk1)),sk1)
| complement(sk1) = join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(sk1),join(meet(complement(sk1),composition(complement(converse(sk1)),sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)))) ),[1,0],$fot(composition(complement(converse(sk1)),sk1))]]) ).
cnf(refute_0_6389,plain,
( complement(sk1) != join(meet(complement(sk1),composition(complement(converse(sk1)),sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)))
| complement(sk1) = join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),composition(complement(converse(sk1)),sk1)),composition(complement(converse(sk1)),sk1)) )],[refute_0_6387,refute_0_6388]) ).
cnf(refute_0_6390,plain,
complement(sk1) = join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))),
inference(resolve,[$cnf( $equal(complement(sk1),join(meet(complement(sk1),composition(complement(converse(sk1)),sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)))) )],[refute_0_5847,refute_0_6389]) ).
cnf(refute_0_6391,plain,
join(composition(complement(converse(sk1)),sk1),complement(composition(top,sk1))) = join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(composition(complement(converse(sk1)),sk1))),bind(B,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_6392,plain,
composition(join(one,complement(converse(sk1))),sk1) = composition(join(one,complement(converse(sk1))),sk1),
introduced(tautology,[refl,[$fot(composition(join(one,complement(converse(sk1))),sk1))]]) ).
cnf(refute_0_6393,plain,
( composition(join(one,complement(converse(sk1))),sk1) != composition(join(one,complement(converse(sk1))),sk1)
| join(one,complement(converse(sk1))) != top
| composition(join(one,complement(converse(sk1))),sk1) = composition(top,sk1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(converse(sk1))),sk1),composition(join(one,complement(converse(sk1))),sk1)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6394,plain,
( join(one,complement(converse(sk1))) != top
| composition(join(one,complement(converse(sk1))),sk1) = composition(top,sk1) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(converse(sk1))),sk1),composition(join(one,complement(converse(sk1))),sk1)) )],[refute_0_6392,refute_0_6393]) ).
cnf(refute_0_6395,plain,
composition(join(one,complement(converse(sk1))),sk1) = composition(top,sk1),
inference(resolve,[$cnf( $equal(join(one,complement(converse(sk1))),top) )],[refute_0_5067,refute_0_6394]) ).
cnf(refute_0_6396,plain,
join(composition(X_210,X_211),composition(X_209,X_211)) = join(composition(X_209,X_211),composition(X_210,X_211)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(composition(X_210,X_211))),bind(B,$fot(composition(X_209,X_211)))]]) ).
cnf(refute_0_6397,plain,
( join(composition(X_209,X_211),composition(X_210,X_211)) != composition(join(X_209,X_210),X_211)
| join(composition(X_210,X_211),composition(X_209,X_211)) != join(composition(X_209,X_211),composition(X_210,X_211))
| join(composition(X_210,X_211),composition(X_209,X_211)) = composition(join(X_209,X_210),X_211) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_210,X_211),composition(X_209,X_211)),join(composition(X_209,X_211),composition(X_210,X_211))) ),[1],$fot(composition(join(X_209,X_210),X_211))]]) ).
cnf(refute_0_6398,plain,
( join(composition(X_210,X_211),composition(X_209,X_211)) != join(composition(X_209,X_211),composition(X_210,X_211))
| join(composition(X_210,X_211),composition(X_209,X_211)) = composition(join(X_209,X_210),X_211) ),
inference(resolve,[$cnf( $equal(join(composition(X_209,X_211),composition(X_210,X_211)),composition(join(X_209,X_210),X_211)) )],[refute_0_5495,refute_0_6397]) ).
cnf(refute_0_6399,plain,
join(composition(X_210,X_211),composition(X_209,X_211)) = composition(join(X_209,X_210),X_211),
inference(resolve,[$cnf( $equal(join(composition(X_210,X_211),composition(X_209,X_211)),join(composition(X_209,X_211),composition(X_210,X_211))) )],[refute_0_6396,refute_0_6398]) ).
cnf(refute_0_6400,plain,
( composition(join(A,B),C) != join(composition(A,C),composition(B,C))
| join(composition(A,C),composition(B,C)) = composition(join(A,B),C) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(A,B),C))),bind(Y,$fot(join(composition(A,C),composition(B,C))))]]) ).
cnf(refute_0_6401,plain,
join(composition(A,C),composition(B,C)) = composition(join(A,B),C),
inference(resolve,[$cnf( $equal(composition(join(A,B),C),join(composition(A,C),composition(B,C))) )],[composition_distributivity_7,refute_0_6400]) ).
cnf(refute_0_6402,plain,
join(composition(X_210,X_211),composition(X_209,X_211)) = composition(join(X_210,X_209),X_211),
inference(subst,[],[refute_0_6401:[bind(A,$fot(X_210)),bind(B,$fot(X_209)),bind(C,$fot(X_211))]]) ).
cnf(refute_0_6403,plain,
( join(composition(X_210,X_211),composition(X_209,X_211)) != composition(join(X_209,X_210),X_211)
| join(composition(X_210,X_211),composition(X_209,X_211)) != composition(join(X_210,X_209),X_211)
| composition(join(X_210,X_209),X_211) = composition(join(X_209,X_210),X_211) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_210,X_211),composition(X_209,X_211)),composition(join(X_209,X_210),X_211)) ),[0],$fot(composition(join(X_210,X_209),X_211))]]) ).
cnf(refute_0_6404,plain,
( join(composition(X_210,X_211),composition(X_209,X_211)) != composition(join(X_209,X_210),X_211)
| composition(join(X_210,X_209),X_211) = composition(join(X_209,X_210),X_211) ),
inference(resolve,[$cnf( $equal(join(composition(X_210,X_211),composition(X_209,X_211)),composition(join(X_210,X_209),X_211)) )],[refute_0_6402,refute_0_6403]) ).
cnf(refute_0_6405,plain,
composition(join(X_210,X_209),X_211) = composition(join(X_209,X_210),X_211),
inference(resolve,[$cnf( $equal(join(composition(X_210,X_211),composition(X_209,X_211)),composition(join(X_209,X_210),X_211)) )],[refute_0_6399,refute_0_6404]) ).
cnf(refute_0_6406,plain,
( composition(join(X_210,X_209),X_211) != composition(join(X_209,X_210),X_211)
| composition(join(X_209,X_210),X_211) = composition(join(X_210,X_209),X_211) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_210,X_209),X_211))),bind(Y,$fot(composition(join(X_209,X_210),X_211)))]]) ).
cnf(refute_0_6407,plain,
composition(join(X_209,X_210),X_211) = composition(join(X_210,X_209),X_211),
inference(resolve,[$cnf( $equal(composition(join(X_210,X_209),X_211),composition(join(X_209,X_210),X_211)) )],[refute_0_6405,refute_0_6406]) ).
cnf(refute_0_6408,plain,
composition(join(complement(converse(sk1)),one),sk1) = composition(join(one,complement(converse(sk1))),sk1),
inference(subst,[],[refute_0_6407:[bind(X_209,$fot(complement(converse(sk1)))),bind(X_210,$fot(one)),bind(X_211,$fot(sk1))]]) ).
cnf(refute_0_6409,plain,
join(sk1,composition(complement(converse(sk1)),sk1)) = composition(join(complement(converse(sk1)),one),sk1),
inference(subst,[],[refute_0_5660:[bind(X_209,$fot(complement(converse(sk1)))),bind(X_211,$fot(sk1))]]) ).
cnf(refute_0_6410,plain,
( composition(join(complement(converse(sk1)),one),sk1) != composition(join(one,complement(converse(sk1))),sk1)
| join(sk1,composition(complement(converse(sk1)),sk1)) != composition(join(complement(converse(sk1)),one),sk1)
| join(sk1,composition(complement(converse(sk1)),sk1)) = composition(join(one,complement(converse(sk1))),sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(sk1,composition(complement(converse(sk1)),sk1)))),bind(Y,$fot(composition(join(complement(converse(sk1)),one),sk1))),bind(Z,$fot(composition(join(one,complement(converse(sk1))),sk1)))]]) ).
cnf(refute_0_6411,plain,
( composition(join(complement(converse(sk1)),one),sk1) != composition(join(one,complement(converse(sk1))),sk1)
| join(sk1,composition(complement(converse(sk1)),sk1)) = composition(join(one,complement(converse(sk1))),sk1) ),
inference(resolve,[$cnf( $equal(join(sk1,composition(complement(converse(sk1)),sk1)),composition(join(complement(converse(sk1)),one),sk1)) )],[refute_0_6409,refute_0_6410]) ).
cnf(refute_0_6412,plain,
join(sk1,composition(complement(converse(sk1)),sk1)) = composition(join(one,complement(converse(sk1))),sk1),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(sk1)),one),sk1),composition(join(one,complement(converse(sk1))),sk1)) )],[refute_0_6408,refute_0_6411]) ).
cnf(refute_0_6413,plain,
( composition(join(one,complement(converse(sk1))),sk1) != composition(top,sk1)
| join(sk1,composition(complement(converse(sk1)),sk1)) != composition(join(one,complement(converse(sk1))),sk1)
| join(sk1,composition(complement(converse(sk1)),sk1)) = composition(top,sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(sk1,composition(complement(converse(sk1)),sk1)))),bind(Y,$fot(composition(join(one,complement(converse(sk1))),sk1))),bind(Z,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_6414,plain,
( composition(join(one,complement(converse(sk1))),sk1) != composition(top,sk1)
| join(sk1,composition(complement(converse(sk1)),sk1)) = composition(top,sk1) ),
inference(resolve,[$cnf( $equal(join(sk1,composition(complement(converse(sk1)),sk1)),composition(join(one,complement(converse(sk1))),sk1)) )],[refute_0_6412,refute_0_6413]) ).
cnf(refute_0_6415,plain,
join(sk1,composition(complement(converse(sk1)),sk1)) = composition(top,sk1),
inference(resolve,[$cnf( $equal(composition(join(one,complement(converse(sk1))),sk1),composition(top,sk1)) )],[refute_0_6395,refute_0_6414]) ).
cnf(refute_0_6416,plain,
complement(join(sk1,composition(complement(converse(sk1)),sk1))) = complement(join(sk1,composition(complement(converse(sk1)),sk1))),
introduced(tautology,[refl,[$fot(complement(join(sk1,composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_6417,plain,
( complement(join(sk1,composition(complement(converse(sk1)),sk1))) != complement(join(sk1,composition(complement(converse(sk1)),sk1)))
| join(sk1,composition(complement(converse(sk1)),sk1)) != composition(top,sk1)
| complement(join(sk1,composition(complement(converse(sk1)),sk1))) = complement(composition(top,sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,composition(complement(converse(sk1)),sk1))),complement(join(sk1,composition(complement(converse(sk1)),sk1)))) ),[1,0],$fot(composition(top,sk1))]]) ).
cnf(refute_0_6418,plain,
( join(sk1,composition(complement(converse(sk1)),sk1)) != composition(top,sk1)
| complement(join(sk1,composition(complement(converse(sk1)),sk1))) = complement(composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,composition(complement(converse(sk1)),sk1))),complement(join(sk1,composition(complement(converse(sk1)),sk1)))) )],[refute_0_6416,refute_0_6417]) ).
cnf(refute_0_6419,plain,
complement(join(sk1,composition(complement(converse(sk1)),sk1))) = complement(composition(top,sk1)),
inference(resolve,[$cnf( $equal(join(sk1,composition(complement(converse(sk1)),sk1)),composition(top,sk1)) )],[refute_0_6415,refute_0_6418]) ).
cnf(refute_0_6420,plain,
meet(complement(X_97),complement(sk1)) = complement(join(X_97,sk1)),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(sk1))]]) ).
cnf(refute_0_6421,plain,
( meet(complement(X_97),complement(sk1)) != complement(join(X_97,sk1))
| meet(complement(X_97),complement(sk1)) != complement(join(sk1,X_97))
| complement(join(X_97,sk1)) = complement(join(sk1,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_97),complement(sk1)),complement(join(sk1,X_97))) ),[0],$fot(complement(join(X_97,sk1)))]]) ).
cnf(refute_0_6422,plain,
( meet(complement(X_97),complement(sk1)) != complement(join(sk1,X_97))
| complement(join(X_97,sk1)) = complement(join(sk1,X_97)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_97),complement(sk1)),complement(join(X_97,sk1))) )],[refute_0_6420,refute_0_6421]) ).
cnf(refute_0_6423,plain,
complement(join(X_97,sk1)) = complement(join(sk1,X_97)),
inference(resolve,[$cnf( $equal(meet(complement(X_97),complement(sk1)),complement(join(sk1,X_97))) )],[refute_0_4524,refute_0_6422]) ).
cnf(refute_0_6424,plain,
complement(join(composition(complement(converse(sk1)),sk1),sk1)) = complement(join(sk1,composition(complement(converse(sk1)),sk1))),
inference(subst,[],[refute_0_6423:[bind(X_97,$fot(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_6425,plain,
meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)) = complement(join(composition(complement(converse(sk1)),sk1),sk1)),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(sk1)),bind(X_97,$fot(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_6426,plain,
( complement(join(composition(complement(converse(sk1)),sk1),sk1)) != complement(join(sk1,composition(complement(converse(sk1)),sk1)))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)) != complement(join(composition(complement(converse(sk1)),sk1),sk1))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)) = complement(join(sk1,composition(complement(converse(sk1)),sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)))),bind(Y,$fot(complement(join(composition(complement(converse(sk1)),sk1),sk1)))),bind(Z,$fot(complement(join(sk1,composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_6427,plain,
( complement(join(composition(complement(converse(sk1)),sk1),sk1)) != complement(join(sk1,composition(complement(converse(sk1)),sk1)))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)) = complement(join(sk1,composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)),complement(join(composition(complement(converse(sk1)),sk1),sk1))) )],[refute_0_6425,refute_0_6426]) ).
cnf(refute_0_6428,plain,
meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)) = complement(join(sk1,composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(complement(join(composition(complement(converse(sk1)),sk1),sk1)),complement(join(sk1,composition(complement(converse(sk1)),sk1)))) )],[refute_0_6424,refute_0_6427]) ).
cnf(refute_0_6429,plain,
( complement(join(sk1,composition(complement(converse(sk1)),sk1))) != complement(composition(top,sk1))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)) != complement(join(sk1,composition(complement(converse(sk1)),sk1)))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)) = complement(composition(top,sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)))),bind(Y,$fot(complement(join(sk1,composition(complement(converse(sk1)),sk1))))),bind(Z,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_6430,plain,
( complement(join(sk1,composition(complement(converse(sk1)),sk1))) != complement(composition(top,sk1))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)) = complement(composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)),complement(join(sk1,composition(complement(converse(sk1)),sk1)))) )],[refute_0_6428,refute_0_6429]) ).
cnf(refute_0_6431,plain,
meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)) = complement(composition(top,sk1)),
inference(resolve,[$cnf( $equal(complement(join(sk1,composition(complement(converse(sk1)),sk1))),complement(composition(top,sk1))) )],[refute_0_6419,refute_0_6430]) ).
cnf(refute_0_6432,plain,
join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))) = join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))),
introduced(tautology,[refl,[$fot(join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))))]]) ).
cnf(refute_0_6433,plain,
( join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))) != join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)) != complement(composition(top,sk1))
| join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))) = join(composition(complement(converse(sk1)),sk1),complement(composition(top,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))),join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)))) ),[1,1],$fot(complement(composition(top,sk1)))]]) ).
cnf(refute_0_6434,plain,
( meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)) != complement(composition(top,sk1))
| join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))) = join(composition(complement(converse(sk1)),sk1),complement(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))),join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)))) )],[refute_0_6432,refute_0_6433]) ).
cnf(refute_0_6435,plain,
join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))) = join(composition(complement(converse(sk1)),sk1),complement(composition(top,sk1))),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)),complement(composition(top,sk1))) )],[refute_0_6431,refute_0_6434]) ).
cnf(refute_0_6436,plain,
( join(composition(complement(converse(sk1)),sk1),complement(composition(top,sk1))) != join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))
| join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))) != join(composition(complement(converse(sk1)),sk1),complement(composition(top,sk1)))
| join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))) = join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))))),bind(Y,$fot(join(composition(complement(converse(sk1)),sk1),complement(composition(top,sk1))))),bind(Z,$fot(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_6437,plain,
( join(composition(complement(converse(sk1)),sk1),complement(composition(top,sk1))) != join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))
| join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))) = join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))),join(composition(complement(converse(sk1)),sk1),complement(composition(top,sk1)))) )],[refute_0_6435,refute_0_6436]) ).
cnf(refute_0_6438,plain,
join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))) = join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(join(composition(complement(converse(sk1)),sk1),complement(composition(top,sk1))),join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))) )],[refute_0_6391,refute_0_6437]) ).
cnf(refute_0_6439,plain,
( complement(sk1) != join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)))
| join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))) != join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))
| complement(sk1) = join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(sk1),join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))) ),[0],$fot(join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))))]]) ).
cnf(refute_0_6440,plain,
( complement(sk1) != join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)))
| complement(sk1) = join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1))),join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))) )],[refute_0_6438,refute_0_6439]) ).
cnf(refute_0_6441,plain,
complement(sk1) = join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(complement(sk1),join(composition(complement(converse(sk1)),sk1),meet(complement(composition(complement(converse(sk1)),sk1)),complement(sk1)))) )],[refute_0_6390,refute_0_6440]) ).
cnf(refute_0_6442,plain,
( complement(sk1) != join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))
| join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_6443,plain,
join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))) )],[refute_0_6441,refute_0_6442]) ).
cnf(refute_0_6444,plain,
( join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)) != complement(sk1)
| meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) != complement(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)))
| meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) = complement(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),complement(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_6445,plain,
( meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) != complement(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)))
| meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) = complement(complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)),complement(sk1)) )],[refute_0_6443,refute_0_6444]) ).
cnf(refute_0_6446,plain,
meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) = complement(complement(sk1)),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),complement(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)))) )],[refute_0_5846,refute_0_6445]) ).
cnf(refute_0_6447,plain,
( complement(complement(sk1)) != sk1
| meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) != complement(complement(sk1))
| meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) = sk1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),complement(complement(sk1))) ),[1],$fot(sk1)]]) ).
cnf(refute_0_6448,plain,
( meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) != complement(complement(sk1))
| meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) = sk1 ),
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_2273,refute_0_6447]) ).
cnf(refute_0_6449,plain,
meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) = sk1,
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),complement(complement(sk1))) )],[refute_0_6446,refute_0_6448]) ).
cnf(refute_0_6450,plain,
( composition(top,sk1) != join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))))
| meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) != sk1
| composition(top,sk1) = join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,sk1),join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))))) ),[1,1,1,0],$fot(sk1)]]) ).
cnf(refute_0_6451,plain,
( composition(top,sk1) != join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))))
| composition(top,sk1) = join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),sk1) )],[refute_0_6449,refute_0_6450]) ).
cnf(refute_0_6452,plain,
composition(top,sk1) = join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1))),
inference(resolve,[$cnf( $equal(composition(top,sk1),join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_5845,refute_0_6451]) ).
cnf(refute_0_6453,plain,
join(A,join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) = join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(meet(sk1,converse(complement(converse(sk1)))))),bind(X_32,$fot(meet(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6454,plain,
sk1 = join(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),bind(X_117,$fot(sk1))]]) ).
cnf(refute_0_6455,plain,
meet(one,complement(converse(meet(one,complement(converse(sk1)))))) = meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1))))))))),
inference(subst,[],[refute_0_3497:[bind(X_22,$fot(complement(sk1))),bind(X_97,$fot(meet(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6456,plain,
meet(X_298,complement(converse(complement(converse(complement(X_298)))))) = complement(join(complement(X_298),converse(complement(converse(complement(X_298)))))),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(X_298)),bind(X_281,$fot(converse(complement(converse(complement(X_298))))))]]) ).
cnf(refute_0_6457,plain,
top = join(complement(X_298),converse(complement(converse(complement(X_298))))),
inference(subst,[],[refute_0_1235:[bind(X_15,$fot(complement(X_298)))]]) ).
cnf(refute_0_6458,plain,
( top != join(complement(X_298),converse(complement(converse(complement(X_298)))))
| join(complement(X_298),converse(complement(converse(complement(X_298))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_298),converse(complement(converse(complement(X_298)))))))]]) ).
cnf(refute_0_6459,plain,
join(complement(X_298),converse(complement(converse(complement(X_298))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_298),converse(complement(converse(complement(X_298)))))) )],[refute_0_6457,refute_0_6458]) ).
cnf(refute_0_6460,plain,
( join(complement(X_298),converse(complement(converse(complement(X_298))))) != top
| meet(X_298,complement(converse(complement(converse(complement(X_298)))))) != complement(join(complement(X_298),converse(complement(converse(complement(X_298))))))
| meet(X_298,complement(converse(complement(converse(complement(X_298)))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_298,complement(converse(complement(converse(complement(X_298)))))),complement(join(complement(X_298),converse(complement(converse(complement(X_298))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6461,plain,
( meet(X_298,complement(converse(complement(converse(complement(X_298)))))) != complement(join(complement(X_298),converse(complement(converse(complement(X_298))))))
| meet(X_298,complement(converse(complement(converse(complement(X_298)))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_298),converse(complement(converse(complement(X_298))))),top) )],[refute_0_6459,refute_0_6460]) ).
cnf(refute_0_6462,plain,
meet(X_298,complement(converse(complement(converse(complement(X_298)))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_298,complement(converse(complement(converse(complement(X_298)))))),complement(join(complement(X_298),converse(complement(converse(complement(X_298))))))) )],[refute_0_6456,refute_0_6461]) ).
cnf(refute_0_6463,plain,
( complement(top) != zero
| meet(X_298,complement(converse(complement(converse(complement(X_298)))))) != complement(top)
| meet(X_298,complement(converse(complement(converse(complement(X_298)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_298,complement(converse(complement(converse(complement(X_298)))))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_6464,plain,
( meet(X_298,complement(converse(complement(converse(complement(X_298)))))) != complement(top)
| meet(X_298,complement(converse(complement(converse(complement(X_298)))))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_6463]) ).
cnf(refute_0_6465,plain,
meet(X_298,complement(converse(complement(converse(complement(X_298)))))) = zero,
inference(resolve,[$cnf( $equal(meet(X_298,complement(converse(complement(converse(complement(X_298)))))),complement(top)) )],[refute_0_6462,refute_0_6464]) ).
cnf(refute_0_6466,plain,
meet(meet(one,complement(sk1)),complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) = zero,
inference(subst,[],[refute_0_6465:[bind(X_298,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_6467,plain,
meet(meet(one,complement(sk1)),complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) = meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))),
inference(subst,[],[refute_0_5435:[bind(X_7,$fot(complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_6468,plain,
( meet(meet(one,complement(sk1)),complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) != meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))))
| meet(meet(one,complement(sk1)),complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) != zero
| meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(sk1)),complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))),zero) ),[0],$fot(meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))))]]) ).
cnf(refute_0_6469,plain,
( meet(meet(one,complement(sk1)),complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) != zero
| meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(sk1)),complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))),meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))))) )],[refute_0_6467,refute_0_6468]) ).
cnf(refute_0_6470,plain,
meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))) = zero,
inference(resolve,[$cnf( $equal(meet(meet(one,complement(sk1)),complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))),zero) )],[refute_0_6466,refute_0_6469]) ).
cnf(refute_0_6471,plain,
converse(complement(meet(one,complement(sk1)))) = converse(complement(meet(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(converse(complement(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_6472,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| converse(complement(meet(one,complement(sk1)))) != converse(complement(meet(one,complement(sk1))))
| converse(complement(meet(one,complement(sk1)))) = converse(join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,complement(sk1)))),converse(complement(meet(one,complement(sk1))))) ),[1,0],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_6473,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| converse(complement(meet(one,complement(sk1)))) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,complement(sk1)))),converse(complement(meet(one,complement(sk1))))) )],[refute_0_6471,refute_0_6472]) ).
cnf(refute_0_6474,plain,
converse(complement(meet(one,complement(sk1)))) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(sk1,complement(one))) )],[refute_0_2322,refute_0_6473]) ).
cnf(refute_0_6475,plain,
complement(converse(complement(meet(one,complement(sk1))))) = complement(converse(complement(meet(one,complement(sk1))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_6476,plain,
( complement(converse(complement(meet(one,complement(sk1))))) != complement(converse(complement(meet(one,complement(sk1)))))
| converse(complement(meet(one,complement(sk1)))) != converse(join(sk1,complement(one)))
| complement(converse(complement(meet(one,complement(sk1))))) = complement(converse(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(meet(one,complement(sk1))))),complement(converse(complement(meet(one,complement(sk1)))))) ),[1,0],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_6477,plain,
( converse(complement(meet(one,complement(sk1)))) != converse(join(sk1,complement(one)))
| complement(converse(complement(meet(one,complement(sk1))))) = complement(converse(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,complement(sk1))))),complement(converse(complement(meet(one,complement(sk1)))))) )],[refute_0_6475,refute_0_6476]) ).
cnf(refute_0_6478,plain,
complement(converse(complement(meet(one,complement(sk1))))) = complement(converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,complement(sk1)))),converse(join(sk1,complement(one)))) )],[refute_0_6474,refute_0_6477]) ).
cnf(refute_0_6479,plain,
( complement(converse(complement(meet(one,complement(sk1))))) != complement(converse(join(sk1,complement(one))))
| complement(converse(join(sk1,complement(one)))) != meet(one,complement(converse(sk1)))
| complement(converse(complement(meet(one,complement(sk1))))) = meet(one,complement(converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(complement(meet(one,complement(sk1))))))),bind(Y,$fot(complement(converse(join(sk1,complement(one)))))),bind(Z,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_6480,plain,
( complement(converse(join(sk1,complement(one)))) != meet(one,complement(converse(sk1)))
| complement(converse(complement(meet(one,complement(sk1))))) = meet(one,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,complement(sk1))))),complement(converse(join(sk1,complement(one))))) )],[refute_0_6478,refute_0_6479]) ).
cnf(refute_0_6481,plain,
complement(converse(complement(meet(one,complement(sk1))))) = meet(one,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,complement(one)))),meet(one,complement(converse(sk1)))) )],[refute_0_6030,refute_0_6480]) ).
cnf(refute_0_6482,plain,
converse(complement(converse(complement(meet(one,complement(sk1)))))) = converse(complement(converse(complement(meet(one,complement(sk1)))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_6483,plain,
( complement(converse(complement(meet(one,complement(sk1))))) != meet(one,complement(converse(sk1)))
| converse(complement(converse(complement(meet(one,complement(sk1)))))) != converse(complement(converse(complement(meet(one,complement(sk1))))))
| converse(complement(converse(complement(meet(one,complement(sk1)))))) = converse(meet(one,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(one,complement(sk1)))))),converse(complement(converse(complement(meet(one,complement(sk1))))))) ),[1,0],$fot(meet(one,complement(converse(sk1))))]]) ).
cnf(refute_0_6484,plain,
( complement(converse(complement(meet(one,complement(sk1))))) != meet(one,complement(converse(sk1)))
| converse(complement(converse(complement(meet(one,complement(sk1)))))) = converse(meet(one,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,complement(sk1)))))),converse(complement(converse(complement(meet(one,complement(sk1))))))) )],[refute_0_6482,refute_0_6483]) ).
cnf(refute_0_6485,plain,
converse(complement(converse(complement(meet(one,complement(sk1)))))) = converse(meet(one,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,complement(sk1))))),meet(one,complement(converse(sk1)))) )],[refute_0_6481,refute_0_6484]) ).
cnf(refute_0_6486,plain,
complement(converse(complement(converse(complement(meet(one,complement(sk1))))))) = complement(converse(complement(converse(complement(meet(one,complement(sk1))))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_6487,plain,
( complement(converse(complement(converse(complement(meet(one,complement(sk1))))))) != complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))
| converse(complement(converse(complement(meet(one,complement(sk1)))))) != converse(meet(one,complement(converse(sk1))))
| complement(converse(complement(converse(complement(meet(one,complement(sk1))))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(complement(meet(one,complement(sk1))))))),complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) ),[1,0],$fot(converse(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_6488,plain,
( converse(complement(converse(complement(meet(one,complement(sk1)))))) != converse(meet(one,complement(converse(sk1))))
| complement(converse(complement(converse(complement(meet(one,complement(sk1))))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(meet(one,complement(sk1))))))),complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) )],[refute_0_6486,refute_0_6487]) ).
cnf(refute_0_6489,plain,
complement(converse(complement(converse(complement(meet(one,complement(sk1))))))) = complement(converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,complement(sk1)))))),converse(meet(one,complement(converse(sk1))))) )],[refute_0_6485,refute_0_6488]) ).
cnf(refute_0_6490,plain,
meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) = meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))))]]) ).
cnf(refute_0_6491,plain,
( complement(converse(complement(converse(complement(meet(one,complement(sk1))))))) != complement(converse(meet(one,complement(converse(sk1)))))
| meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) != meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))
| meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) = meet(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))) ),[1,1],$fot(complement(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6492,plain,
( complement(converse(complement(converse(complement(meet(one,complement(sk1))))))) != complement(converse(meet(one,complement(converse(sk1)))))
| meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) = meet(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))) )],[refute_0_6490,refute_0_6491]) ).
cnf(refute_0_6493,plain,
meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) = meet(one,complement(converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(meet(one,complement(sk1))))))),complement(converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6489,refute_0_6492]) ).
cnf(refute_0_6494,plain,
meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))) = meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))),
introduced(tautology,[refl,[$fot(meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))))]]) ).
cnf(refute_0_6495,plain,
( meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))) != meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))))
| meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) != meet(one,complement(converse(meet(one,complement(converse(sk1))))))
| meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))) = meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))),meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))))) ),[1,1],$fot(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6496,plain,
( meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))) != meet(one,complement(converse(meet(one,complement(converse(sk1))))))
| meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))) = meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))),meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))))) )],[refute_0_6494,refute_0_6495]) ).
cnf(refute_0_6497,plain,
meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))) = meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1)))))))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6493,refute_0_6496]) ).
cnf(refute_0_6498,plain,
( meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))) != meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))) != zero
| meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))),zero) ),[0],$fot(meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6499,plain,
( meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))) != zero
| meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))),meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6497,refute_0_6498]) ).
cnf(refute_0_6500,plain,
meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(one,complement(converse(complement(converse(complement(meet(one,complement(sk1))))))))),zero) )],[refute_0_6470,refute_0_6499]) ).
cnf(refute_0_6501,plain,
( meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != zero
| meet(one,complement(converse(meet(one,complement(converse(sk1)))))) != meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))
| meet(one,complement(converse(meet(one,complement(converse(sk1)))))) = meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_6502,plain,
( meet(one,complement(converse(meet(one,complement(converse(sk1)))))) != meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))
| meet(one,complement(converse(meet(one,complement(converse(sk1)))))) = meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),zero) )],[refute_0_6500,refute_0_6501]) ).
cnf(refute_0_6503,plain,
meet(one,complement(converse(meet(one,complement(converse(sk1)))))) = meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero)),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),meet(complement(sk1),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) )],[refute_0_6455,refute_0_6502]) ).
cnf(refute_0_6504,plain,
join(zero,complement(complement(sk1))) = complement(complement(sk1)),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(complement(complement(sk1))))]]) ).
cnf(refute_0_6505,plain,
( complement(complement(sk1)) != sk1
| join(zero,complement(complement(sk1))) != complement(complement(sk1))
| join(zero,complement(complement(sk1))) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,complement(complement(sk1))))),bind(Y,$fot(complement(complement(sk1)))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_6506,plain,
( complement(complement(sk1)) != sk1
| join(zero,complement(complement(sk1))) = sk1 ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(sk1))),complement(complement(sk1))) )],[refute_0_6504,refute_0_6505]) ).
cnf(refute_0_6507,plain,
join(zero,complement(complement(sk1))) = sk1,
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_2273,refute_0_6506]) ).
cnf(refute_0_6508,plain,
join(complement(complement(sk1)),zero) = join(zero,complement(complement(sk1))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(complement(sk1)))),bind(B,$fot(zero))]]) ).
cnf(refute_0_6509,plain,
( join(complement(complement(sk1)),zero) != join(zero,complement(complement(sk1)))
| join(zero,complement(complement(sk1))) != sk1
| join(complement(complement(sk1)),zero) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(sk1)),zero))),bind(Y,$fot(join(zero,complement(complement(sk1))))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_6510,plain,
( join(zero,complement(complement(sk1))) != sk1
| join(complement(complement(sk1)),zero) = sk1 ),
inference(resolve,[$cnf( $equal(join(complement(complement(sk1)),zero),join(zero,complement(complement(sk1)))) )],[refute_0_6508,refute_0_6509]) ).
cnf(refute_0_6511,plain,
join(complement(complement(sk1)),zero) = sk1,
inference(resolve,[$cnf( $equal(join(zero,complement(complement(sk1))),sk1) )],[refute_0_6507,refute_0_6510]) ).
cnf(refute_0_6512,plain,
meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
introduced(tautology,[refl,[$fot(meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6513,plain,
( join(complement(complement(sk1)),zero) != sk1
| meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_6514,plain,
( join(complement(complement(sk1)),zero) != sk1
| meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6512,refute_0_6513]) ).
cnf(refute_0_6515,plain,
meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(complement(complement(sk1)),zero),sk1) )],[refute_0_6511,refute_0_6514]) ).
cnf(refute_0_6516,plain,
meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero)) = meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(join(complement(complement(sk1)),zero))),bind(X_7,$fot(meet(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6517,plain,
( meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero)) != meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero)) = meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero)))),bind(Y,$fot(meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))))),bind(Z,$fot(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6518,plain,
( meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero)) = meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero)),meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6516,refute_0_6517]) ).
cnf(refute_0_6519,plain,
meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero)) = meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(sk1)),zero),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6515,refute_0_6518]) ).
cnf(refute_0_6520,plain,
( meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero)) != meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| meet(one,complement(converse(meet(one,complement(converse(sk1)))))) != meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero))
| meet(one,complement(converse(meet(one,complement(converse(sk1)))))) = meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero))) ),[1],$fot(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6521,plain,
( meet(one,complement(converse(meet(one,complement(converse(sk1)))))) != meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero))
| meet(one,complement(converse(meet(one,complement(converse(sk1)))))) = meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero)),meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6519,refute_0_6520]) ).
cnf(refute_0_6522,plain,
meet(one,complement(converse(meet(one,complement(converse(sk1)))))) = meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),join(complement(complement(sk1)),zero))) )],[refute_0_6503,refute_0_6521]) ).
cnf(refute_0_6523,plain,
( meet(one,complement(converse(meet(one,complement(converse(sk1)))))) != meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = meet(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),bind(Y,$fot(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6524,plain,
meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = meet(one,complement(converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6522,refute_0_6523]) ).
cnf(refute_0_6525,plain,
( meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != meet(one,complement(converse(meet(one,complement(converse(sk1))))))
| sk1 != join(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1))
| sk1 = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,join(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1))) ),[1,0],$fot(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6526,plain,
( sk1 != join(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1))
| sk1 = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)) ),
inference(resolve,[$cnf( $equal(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6524,refute_0_6525]) ).
cnf(refute_0_6527,plain,
sk1 = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)),
inference(resolve,[$cnf( $equal(sk1,join(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1))) )],[refute_0_6454,refute_0_6526]) ).
cnf(refute_0_6528,plain,
join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(sk1,converse(complement(converse(sk1))))) = join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),bind(B,$fot(meet(sk1,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6529,plain,
complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = join(complement(one),converse(meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_3690:[bind(X_298,$fot(one)),bind(X_299,$fot(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6530,plain,
( complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != join(complement(one),converse(meet(one,complement(converse(sk1)))))
| join(complement(one),converse(meet(one,complement(converse(sk1))))) != converse(join(complement(one),meet(one,complement(converse(sk1)))))
| complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = converse(join(complement(one),meet(one,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))))),bind(Y,$fot(join(complement(one),converse(meet(one,complement(converse(sk1))))))),bind(Z,$fot(converse(join(complement(one),meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6531,plain,
( join(complement(one),converse(meet(one,complement(converse(sk1))))) != converse(join(complement(one),meet(one,complement(converse(sk1)))))
| complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = converse(join(complement(one),meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),join(complement(one),converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6529,refute_0_6530]) ).
cnf(refute_0_6532,plain,
complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = converse(join(complement(one),meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(converse(sk1))))),converse(join(complement(one),meet(one,complement(converse(sk1)))))) )],[refute_0_6096,refute_0_6531]) ).
cnf(refute_0_6533,plain,
( complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != converse(join(complement(one),meet(one,complement(converse(sk1)))))
| converse(join(complement(one),meet(one,complement(converse(sk1))))) != converse(complement(converse(sk1)))
| complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = converse(complement(converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))))),bind(Y,$fot(converse(join(complement(one),meet(one,complement(converse(sk1))))))),bind(Z,$fot(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6534,plain,
( converse(join(complement(one),meet(one,complement(converse(sk1))))) != converse(complement(converse(sk1)))
| complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = converse(complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),converse(join(complement(one),meet(one,complement(converse(sk1)))))) )],[refute_0_6532,refute_0_6533]) ).
cnf(refute_0_6535,plain,
complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = converse(complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(converse(sk1))))),converse(complement(converse(sk1)))) )],[refute_0_6133,refute_0_6534]) ).
cnf(refute_0_6536,plain,
meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) = meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),
introduced(tautology,[refl,[$fot(meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6537,plain,
( complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != converse(complement(converse(sk1)))
| meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) != meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))))
| meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) = meet(sk1,converse(complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))))) ),[1,1],$fot(converse(complement(converse(sk1))))]]) ).
cnf(refute_0_6538,plain,
( complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != converse(complement(converse(sk1)))
| meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) = meet(sk1,converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))))) )],[refute_0_6536,refute_0_6537]) ).
cnf(refute_0_6539,plain,
meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) = meet(sk1,converse(complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),converse(complement(converse(sk1)))) )],[refute_0_6535,refute_0_6538]) ).
cnf(refute_0_6540,plain,
meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1) = meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(sk1)),bind(X_7,$fot(complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6541,plain,
( meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1) != meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))))
| meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) != meet(sk1,converse(complement(converse(sk1))))
| meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1) = meet(sk1,converse(complement(converse(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1))),bind(Y,$fot(meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))),bind(Z,$fot(meet(sk1,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6542,plain,
( meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) != meet(sk1,converse(complement(converse(sk1))))
| meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1) = meet(sk1,converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1),meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))))) )],[refute_0_6540,refute_0_6541]) ).
cnf(refute_0_6543,plain,
meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1) = meet(sk1,converse(complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(sk1,complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),meet(sk1,converse(complement(converse(sk1))))) )],[refute_0_6539,refute_0_6542]) ).
cnf(refute_0_6544,plain,
join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)) = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)),
introduced(tautology,[refl,[$fot(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)))]]) ).
cnf(refute_0_6545,plain,
( join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)) != join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1))
| meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1) != meet(sk1,converse(complement(converse(sk1))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)) = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(sk1,converse(complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1))) ),[1,1],$fot(meet(sk1,converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6546,plain,
( meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1) != meet(sk1,converse(complement(converse(sk1))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)) = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(sk1,converse(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1))) )],[refute_0_6544,refute_0_6545]) ).
cnf(refute_0_6547,plain,
join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)) = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(sk1,converse(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1),meet(sk1,converse(complement(converse(sk1))))) )],[refute_0_6543,refute_0_6546]) ).
cnf(refute_0_6548,plain,
( join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)) != join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(sk1,converse(complement(converse(sk1)))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(sk1,converse(complement(converse(sk1))))) != join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)) = join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)))),bind(Y,$fot(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(sk1,converse(complement(converse(sk1))))))),bind(Z,$fot(join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6549,plain,
( join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(sk1,converse(complement(converse(sk1))))) != join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)) = join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(sk1,converse(complement(converse(sk1)))))) )],[refute_0_6547,refute_0_6548]) ).
cnf(refute_0_6550,plain,
join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)) = join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(sk1,converse(complement(converse(sk1))))),join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6528,refute_0_6549]) ).
cnf(refute_0_6551,plain,
( join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)) != join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| sk1 != join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1))
| sk1 = join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1))) ),[1],$fot(join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6552,plain,
( sk1 != join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1))
| sk1 = join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1)),join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6550,refute_0_6551]) ).
cnf(refute_0_6553,plain,
sk1 = join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(sk1,join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1))) )],[refute_0_6527,refute_0_6552]) ).
cnf(refute_0_6554,plain,
( sk1 != join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6555,plain,
join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = sk1,
inference(resolve,[$cnf( $equal(sk1,join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6553,refute_0_6554]) ).
cnf(refute_0_6556,plain,
( join(A,join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) != join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A))
| join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != sk1
| join(A,sk1) = join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A))) ),[0,1],$fot(sk1)]]) ).
cnf(refute_0_6557,plain,
( join(A,join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) != join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A))
| join(A,sk1) = join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),sk1) )],[refute_0_6555,refute_0_6556]) ).
cnf(refute_0_6558,plain,
join(A,sk1) = join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)),
inference(resolve,[$cnf( $equal(join(A,join(meet(sk1,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A))) )],[refute_0_6453,refute_0_6557]) ).
cnf(refute_0_6559,plain,
join(meet(sk1,converse(complement(converse(sk1)))),join(complement(converse(complement(converse(sk1)))),A)) = join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)),
inference(subst,[],[refute_0_4153:[bind(X_155,$fot(complement(converse(complement(converse(sk1)))))),bind(X_156,$fot(meet(sk1,converse(complement(converse(sk1)))))),bind(X_157,$fot(A))]]) ).
cnf(refute_0_6560,plain,
meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) = complement(complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))))]]) ).
cnf(refute_0_6561,plain,
converse(complement(meet(one,converse(join(sk1,complement(one)))))) = join(meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))),
inference(subst,[],[refute_0_1502:[bind(X_97,$fot(converse(complement(meet(one,converse(join(sk1,complement(one)))))))),bind(X_98,$fot(complement(one)))]]) ).
cnf(refute_0_6562,plain,
complement(one) = meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(join(one,join(X_38,complement(join(sk1,X_38))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(join(X_38,complement(join(sk1,X_38))))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_6563,plain,
( join(one,top) != join(one,join(X_38,complement(join(sk1,X_38))))
| join(one,top) != top
| top = join(one,join(X_38,complement(join(sk1,X_38)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,join(X_38,complement(join(sk1,X_38))))) ),[0],$fot(top)]]) ).
cnf(refute_0_6564,plain,
( join(one,top) != join(one,join(X_38,complement(join(sk1,X_38))))
| top = join(one,join(X_38,complement(join(sk1,X_38)))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_903,refute_0_6563]) ).
cnf(refute_0_6565,plain,
top = join(one,join(X_38,complement(join(sk1,X_38)))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,join(X_38,complement(join(sk1,X_38))))) )],[refute_0_3897,refute_0_6564]) ).
cnf(refute_0_6566,plain,
( top != join(one,join(X_38,complement(join(sk1,X_38))))
| join(one,join(X_38,complement(join(sk1,X_38)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(X_38,complement(join(sk1,X_38))))))]]) ).
cnf(refute_0_6567,plain,
join(one,join(X_38,complement(join(sk1,X_38)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(X_38,complement(join(sk1,X_38))))) )],[refute_0_6565,refute_0_6566]) ).
cnf(refute_0_6568,plain,
( complement(one) != meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(join(one,join(X_38,complement(join(sk1,X_38)))))))
| join(one,join(X_38,complement(join(sk1,X_38)))) != top
| complement(one) = meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(join(one,join(X_38,complement(join(sk1,X_38)))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_6569,plain,
( complement(one) != meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(join(one,join(X_38,complement(join(sk1,X_38)))))))
| complement(one) = meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_38,complement(join(sk1,X_38)))),top) )],[refute_0_6567,refute_0_6568]) ).
cnf(refute_0_6570,plain,
complement(one) = meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(join(one,join(X_38,complement(join(sk1,X_38)))))))) )],[refute_0_6562,refute_0_6569]) ).
cnf(refute_0_6571,plain,
meet(top,join(sk1,X_38)) = join(sk1,X_38),
inference(subst,[],[refute_0_3072:[bind(X_105,$fot(join(sk1,X_38)))]]) ).
cnf(refute_0_6572,plain,
complement(meet(top,join(sk1,X_38))) = complement(meet(top,join(sk1,X_38))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(sk1,X_38))))]]) ).
cnf(refute_0_6573,plain,
( complement(meet(top,join(sk1,X_38))) != complement(meet(top,join(sk1,X_38)))
| meet(top,join(sk1,X_38)) != join(sk1,X_38)
| complement(meet(top,join(sk1,X_38))) = complement(join(sk1,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(sk1,X_38))),complement(meet(top,join(sk1,X_38)))) ),[1,0],$fot(join(sk1,X_38))]]) ).
cnf(refute_0_6574,plain,
( meet(top,join(sk1,X_38)) != join(sk1,X_38)
| complement(meet(top,join(sk1,X_38))) = complement(join(sk1,X_38)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(sk1,X_38))),complement(meet(top,join(sk1,X_38)))) )],[refute_0_6572,refute_0_6573]) ).
cnf(refute_0_6575,plain,
complement(meet(top,join(sk1,X_38))) = complement(join(sk1,X_38)),
inference(resolve,[$cnf( $equal(meet(top,join(sk1,X_38)),join(sk1,X_38)) )],[refute_0_6571,refute_0_6574]) ).
cnf(refute_0_6576,plain,
join(complement(top),complement(join(sk1,X_38))) = complement(meet(top,join(sk1,X_38))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(top)),bind(B,$fot(join(sk1,X_38)))]]) ).
cnf(refute_0_6577,plain,
( complement(meet(top,join(sk1,X_38))) != complement(join(sk1,X_38))
| join(complement(top),complement(join(sk1,X_38))) != complement(meet(top,join(sk1,X_38)))
| join(complement(top),complement(join(sk1,X_38))) = complement(join(sk1,X_38)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(top),complement(join(sk1,X_38))))),bind(Y,$fot(complement(meet(top,join(sk1,X_38))))),bind(Z,$fot(complement(join(sk1,X_38))))]]) ).
cnf(refute_0_6578,plain,
( complement(meet(top,join(sk1,X_38))) != complement(join(sk1,X_38))
| join(complement(top),complement(join(sk1,X_38))) = complement(join(sk1,X_38)) ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(join(sk1,X_38))),complement(meet(top,join(sk1,X_38)))) )],[refute_0_6576,refute_0_6577]) ).
cnf(refute_0_6579,plain,
join(complement(top),complement(join(sk1,X_38))) = complement(join(sk1,X_38)),
inference(resolve,[$cnf( $equal(complement(meet(top,join(sk1,X_38))),complement(join(sk1,X_38))) )],[refute_0_6575,refute_0_6578]) ).
cnf(refute_0_6580,plain,
join(X_38,join(complement(top),complement(join(sk1,X_38)))) = join(X_38,join(complement(top),complement(join(sk1,X_38)))),
introduced(tautology,[refl,[$fot(join(X_38,join(complement(top),complement(join(sk1,X_38)))))]]) ).
cnf(refute_0_6581,plain,
( join(X_38,join(complement(top),complement(join(sk1,X_38)))) != join(X_38,join(complement(top),complement(join(sk1,X_38))))
| join(complement(top),complement(join(sk1,X_38))) != complement(join(sk1,X_38))
| join(X_38,join(complement(top),complement(join(sk1,X_38)))) = join(X_38,complement(join(sk1,X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_38,join(complement(top),complement(join(sk1,X_38)))),join(X_38,join(complement(top),complement(join(sk1,X_38))))) ),[1,1],$fot(complement(join(sk1,X_38)))]]) ).
cnf(refute_0_6582,plain,
( join(complement(top),complement(join(sk1,X_38))) != complement(join(sk1,X_38))
| join(X_38,join(complement(top),complement(join(sk1,X_38)))) = join(X_38,complement(join(sk1,X_38))) ),
inference(resolve,[$cnf( $equal(join(X_38,join(complement(top),complement(join(sk1,X_38)))),join(X_38,join(complement(top),complement(join(sk1,X_38))))) )],[refute_0_6580,refute_0_6581]) ).
cnf(refute_0_6583,plain,
join(X_38,join(complement(top),complement(join(sk1,X_38)))) = join(X_38,complement(join(sk1,X_38))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(join(sk1,X_38))),complement(join(sk1,X_38))) )],[refute_0_6579,refute_0_6582]) ).
cnf(refute_0_6584,plain,
join(X_38,join(complement(join(sk1,X_38)),complement(top))) = join(X_38,join(complement(top),complement(join(sk1,X_38)))),
inference(subst,[],[refute_0_3874:[bind(X_31,$fot(X_38)),bind(X_32,$fot(complement(join(sk1,X_38)))),bind(X_33,$fot(complement(top)))]]) ).
cnf(refute_0_6585,plain,
join(join(X_38,complement(join(sk1,X_38))),complement(top)) = join(X_38,join(complement(join(sk1,X_38)),complement(top))),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_38)),bind(B,$fot(complement(join(sk1,X_38)))),bind(C,$fot(complement(top)))]]) ).
cnf(refute_0_6586,plain,
( join(X_38,join(complement(join(sk1,X_38)),complement(top))) != join(X_38,join(complement(top),complement(join(sk1,X_38))))
| join(join(X_38,complement(join(sk1,X_38))),complement(top)) != join(X_38,join(complement(join(sk1,X_38)),complement(top)))
| join(join(X_38,complement(join(sk1,X_38))),complement(top)) = join(X_38,join(complement(top),complement(join(sk1,X_38)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(X_38,complement(join(sk1,X_38))),complement(top)))),bind(Y,$fot(join(X_38,join(complement(join(sk1,X_38)),complement(top))))),bind(Z,$fot(join(X_38,join(complement(top),complement(join(sk1,X_38))))))]]) ).
cnf(refute_0_6587,plain,
( join(X_38,join(complement(join(sk1,X_38)),complement(top))) != join(X_38,join(complement(top),complement(join(sk1,X_38))))
| join(join(X_38,complement(join(sk1,X_38))),complement(top)) = join(X_38,join(complement(top),complement(join(sk1,X_38)))) ),
inference(resolve,[$cnf( $equal(join(join(X_38,complement(join(sk1,X_38))),complement(top)),join(X_38,join(complement(join(sk1,X_38)),complement(top)))) )],[refute_0_6585,refute_0_6586]) ).
cnf(refute_0_6588,plain,
join(join(X_38,complement(join(sk1,X_38))),complement(top)) = join(X_38,join(complement(top),complement(join(sk1,X_38)))),
inference(resolve,[$cnf( $equal(join(X_38,join(complement(join(sk1,X_38)),complement(top))),join(X_38,join(complement(top),complement(join(sk1,X_38))))) )],[refute_0_6584,refute_0_6587]) ).
cnf(refute_0_6589,plain,
( join(X_38,join(complement(top),complement(join(sk1,X_38)))) != join(X_38,complement(join(sk1,X_38)))
| join(join(X_38,complement(join(sk1,X_38))),complement(top)) != join(X_38,join(complement(top),complement(join(sk1,X_38))))
| join(join(X_38,complement(join(sk1,X_38))),complement(top)) = join(X_38,complement(join(sk1,X_38))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(X_38,complement(join(sk1,X_38))),complement(top)))),bind(Y,$fot(join(X_38,join(complement(top),complement(join(sk1,X_38)))))),bind(Z,$fot(join(X_38,complement(join(sk1,X_38)))))]]) ).
cnf(refute_0_6590,plain,
( join(X_38,join(complement(top),complement(join(sk1,X_38)))) != join(X_38,complement(join(sk1,X_38)))
| join(join(X_38,complement(join(sk1,X_38))),complement(top)) = join(X_38,complement(join(sk1,X_38))) ),
inference(resolve,[$cnf( $equal(join(join(X_38,complement(join(sk1,X_38))),complement(top)),join(X_38,join(complement(top),complement(join(sk1,X_38))))) )],[refute_0_6588,refute_0_6589]) ).
cnf(refute_0_6591,plain,
join(join(X_38,complement(join(sk1,X_38))),complement(top)) = join(X_38,complement(join(sk1,X_38))),
inference(resolve,[$cnf( $equal(join(X_38,join(complement(top),complement(join(sk1,X_38)))),join(X_38,complement(join(sk1,X_38)))) )],[refute_0_6583,refute_0_6590]) ).
cnf(refute_0_6592,plain,
meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))) = meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))))]]) ).
cnf(refute_0_6593,plain,
( join(join(X_38,complement(join(sk1,X_38))),complement(top)) != join(X_38,complement(join(sk1,X_38)))
| meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))) != meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top)))
| meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))) = meet(complement(one),join(X_38,complement(join(sk1,X_38)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))),meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top)))) ),[1,1],$fot(join(X_38,complement(join(sk1,X_38))))]]) ).
cnf(refute_0_6594,plain,
( join(join(X_38,complement(join(sk1,X_38))),complement(top)) != join(X_38,complement(join(sk1,X_38)))
| meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))) = meet(complement(one),join(X_38,complement(join(sk1,X_38)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))),meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top)))) )],[refute_0_6592,refute_0_6593]) ).
cnf(refute_0_6595,plain,
meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))) = meet(complement(one),join(X_38,complement(join(sk1,X_38)))),
inference(resolve,[$cnf( $equal(join(join(X_38,complement(join(sk1,X_38))),complement(top)),join(X_38,complement(join(sk1,X_38)))) )],[refute_0_6591,refute_0_6594]) ).
cnf(refute_0_6596,plain,
( complement(one) != meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top)))
| meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))) != meet(complement(one),join(X_38,complement(join(sk1,X_38))))
| complement(one) = meet(complement(one),join(X_38,complement(join(sk1,X_38)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),join(X_38,complement(join(sk1,X_38))))) ),[0],$fot(meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))))]]) ).
cnf(refute_0_6597,plain,
( complement(one) != meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top)))
| complement(one) = meet(complement(one),join(X_38,complement(join(sk1,X_38)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top))),meet(complement(one),join(X_38,complement(join(sk1,X_38))))) )],[refute_0_6595,refute_0_6596]) ).
cnf(refute_0_6598,plain,
complement(one) = meet(complement(one),join(X_38,complement(join(sk1,X_38)))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(join(X_38,complement(join(sk1,X_38))),complement(top)))) )],[refute_0_6570,refute_0_6597]) ).
cnf(refute_0_6599,plain,
complement(one) = meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))),
inference(subst,[],[refute_0_6598:[bind(X_38,$fot(converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6600,plain,
top = join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(join(sk1,converse(complement(join(complement(one),converse(sk1)))))))))),
inference(subst,[],[refute_0_823:[bind(X_31,$fot(sk1)),bind(X_32,$fot(converse(complement(join(complement(one),converse(sk1))))))]]) ).
cnf(refute_0_6601,plain,
( join(sk1,converse(complement(join(complement(one),converse(sk1))))) != one
| top != join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(join(sk1,converse(complement(join(complement(one),converse(sk1))))))))))
| top = join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(join(sk1,converse(complement(join(complement(one),converse(sk1))))))))))) ),[1,1,1,0,0,0],$fot(one)]]) ).
cnf(refute_0_6602,plain,
( top != join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(join(sk1,converse(complement(join(complement(one),converse(sk1))))))))))
| top = join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one))))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(join(complement(one),converse(sk1))))),one) )],[refute_0_5920,refute_0_6601]) ).
cnf(refute_0_6603,plain,
top = join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one))))),
inference(resolve,[$cnf( $equal(top,join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(join(sk1,converse(complement(join(complement(one),converse(sk1))))))))))) )],[refute_0_6600,refute_0_6602]) ).
cnf(refute_0_6604,plain,
meet(converse(one),join(complement(one),converse(sk1))) = meet(converse(one),join(complement(one),converse(sk1))),
introduced(tautology,[refl,[$fot(meet(converse(one),join(complement(one),converse(sk1))))]]) ).
cnf(refute_0_6605,plain,
( converse(one) != one
| meet(converse(one),join(complement(one),converse(sk1))) != meet(converse(one),join(complement(one),converse(sk1)))
| meet(converse(one),join(complement(one),converse(sk1))) = meet(one,join(complement(one),converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(one),join(complement(one),converse(sk1))),meet(converse(one),join(complement(one),converse(sk1)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_6606,plain,
( converse(one) != one
| meet(converse(one),join(complement(one),converse(sk1))) = meet(one,join(complement(one),converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(converse(one),join(complement(one),converse(sk1))),meet(converse(one),join(complement(one),converse(sk1)))) )],[refute_0_6604,refute_0_6605]) ).
cnf(refute_0_6607,plain,
meet(converse(one),join(complement(one),converse(sk1))) = meet(one,join(complement(one),converse(sk1))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_6606]) ).
cnf(refute_0_6608,plain,
complement(meet(converse(one),join(complement(one),converse(sk1)))) = complement(meet(converse(one),join(complement(one),converse(sk1)))),
introduced(tautology,[refl,[$fot(complement(meet(converse(one),join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_6609,plain,
( complement(meet(converse(one),join(complement(one),converse(sk1)))) != complement(meet(converse(one),join(complement(one),converse(sk1))))
| meet(converse(one),join(complement(one),converse(sk1))) != meet(one,join(complement(one),converse(sk1)))
| complement(meet(converse(one),join(complement(one),converse(sk1)))) = complement(meet(one,join(complement(one),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(one),join(complement(one),converse(sk1)))),complement(meet(converse(one),join(complement(one),converse(sk1))))) ),[1,0],$fot(meet(one,join(complement(one),converse(sk1))))]]) ).
cnf(refute_0_6610,plain,
( meet(converse(one),join(complement(one),converse(sk1))) != meet(one,join(complement(one),converse(sk1)))
| complement(meet(converse(one),join(complement(one),converse(sk1)))) = complement(meet(one,join(complement(one),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(one),join(complement(one),converse(sk1)))),complement(meet(converse(one),join(complement(one),converse(sk1))))) )],[refute_0_6608,refute_0_6609]) ).
cnf(refute_0_6611,plain,
complement(meet(converse(one),join(complement(one),converse(sk1)))) = complement(meet(one,join(complement(one),converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(one),join(complement(one),converse(sk1))),meet(one,join(complement(one),converse(sk1)))) )],[refute_0_6607,refute_0_6610]) ).
cnf(refute_0_6612,plain,
join(complement(converse(one)),complement(join(complement(one),converse(sk1)))) = complement(meet(converse(one),join(complement(one),converse(sk1)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(converse(one))),bind(B,$fot(join(complement(one),converse(sk1))))]]) ).
cnf(refute_0_6613,plain,
( complement(meet(converse(one),join(complement(one),converse(sk1)))) != complement(meet(one,join(complement(one),converse(sk1))))
| join(complement(converse(one)),complement(join(complement(one),converse(sk1)))) != complement(meet(converse(one),join(complement(one),converse(sk1))))
| join(complement(converse(one)),complement(join(complement(one),converse(sk1)))) = complement(meet(one,join(complement(one),converse(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(one)),complement(join(complement(one),converse(sk1)))))),bind(Y,$fot(complement(meet(converse(one),join(complement(one),converse(sk1)))))),bind(Z,$fot(complement(meet(one,join(complement(one),converse(sk1))))))]]) ).
cnf(refute_0_6614,plain,
( complement(meet(converse(one),join(complement(one),converse(sk1)))) != complement(meet(one,join(complement(one),converse(sk1))))
| join(complement(converse(one)),complement(join(complement(one),converse(sk1)))) = complement(meet(one,join(complement(one),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),complement(join(complement(one),converse(sk1)))),complement(meet(converse(one),join(complement(one),converse(sk1))))) )],[refute_0_6612,refute_0_6613]) ).
cnf(refute_0_6615,plain,
join(complement(converse(one)),complement(join(complement(one),converse(sk1)))) = complement(meet(one,join(complement(one),converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(meet(converse(one),join(complement(one),converse(sk1)))),complement(meet(one,join(complement(one),converse(sk1))))) )],[refute_0_6611,refute_0_6614]) ).
cnf(refute_0_6616,plain,
converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))) = converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))),
introduced(tautology,[refl,[$fot(converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))))]]) ).
cnf(refute_0_6617,plain,
( converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))) != converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1)))))
| join(complement(converse(one)),complement(join(complement(one),converse(sk1)))) != complement(meet(one,join(complement(one),converse(sk1))))
| converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))) = converse(complement(meet(one,join(complement(one),converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))),converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1)))))) ),[1,0],$fot(complement(meet(one,join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_6618,plain,
( join(complement(converse(one)),complement(join(complement(one),converse(sk1)))) != complement(meet(one,join(complement(one),converse(sk1))))
| converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))) = converse(complement(meet(one,join(complement(one),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))),converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1)))))) )],[refute_0_6616,refute_0_6617]) ).
cnf(refute_0_6619,plain,
converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))) = converse(complement(meet(one,join(complement(one),converse(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),complement(join(complement(one),converse(sk1)))),complement(meet(one,join(complement(one),converse(sk1))))) )],[refute_0_6615,refute_0_6618]) ).
cnf(refute_0_6620,plain,
join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))) = converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))),
inference(subst,[],[refute_0_849:[bind(A,$fot(complement(converse(one)))),bind(B,$fot(complement(join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_6621,plain,
( converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))) != converse(complement(meet(one,join(complement(one),converse(sk1)))))
| join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))) != converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1)))))
| join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))) = converse(complement(meet(one,join(complement(one),converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))))),bind(Y,$fot(converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))))),bind(Z,$fot(converse(complement(meet(one,join(complement(one),converse(sk1)))))))]]) ).
cnf(refute_0_6622,plain,
( converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))) != converse(complement(meet(one,join(complement(one),converse(sk1)))))
| join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))) = converse(complement(meet(one,join(complement(one),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))),converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1)))))) )],[refute_0_6620,refute_0_6621]) ).
cnf(refute_0_6623,plain,
join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))) = converse(complement(meet(one,join(complement(one),converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(one)),complement(join(complement(one),converse(sk1))))),converse(complement(meet(one,join(complement(one),converse(sk1)))))) )],[refute_0_6619,refute_0_6622]) ).
cnf(refute_0_6624,plain,
join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))) = join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))),
introduced(tautology,[refl,[$fot(join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))))]]) ).
cnf(refute_0_6625,plain,
( join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))) != converse(complement(meet(one,join(complement(one),converse(sk1)))))
| join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))) != join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))))
| join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))) = join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))),join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))))) ),[1,1],$fot(converse(complement(meet(one,join(complement(one),converse(sk1))))))]]) ).
cnf(refute_0_6626,plain,
( join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))) != converse(complement(meet(one,join(complement(one),converse(sk1)))))
| join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))) = join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))),join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))))) )],[refute_0_6624,refute_0_6625]) ).
cnf(refute_0_6627,plain,
join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))) = join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))),converse(complement(meet(one,join(complement(one),converse(sk1)))))) )],[refute_0_6623,refute_0_6626]) ).
cnf(refute_0_6628,plain,
join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one))))) = join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))),
inference(subst,[],[refute_0_3874:[bind(X_31,$fot(sk1)),bind(X_32,$fot(converse(complement(join(complement(one),converse(sk1)))))),bind(X_33,$fot(converse(complement(converse(one)))))]]) ).
cnf(refute_0_6629,plain,
( join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))) != join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1))))))
| join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one))))) != join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))))
| join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one))))) = join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one))))))),bind(Y,$fot(join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))))),bind(Z,$fot(join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1))))))))]]) ).
cnf(refute_0_6630,plain,
( join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))) != join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1))))))
| join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one))))) = join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one))))),join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1))))))) )],[refute_0_6628,refute_0_6629]) ).
cnf(refute_0_6631,plain,
join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one))))) = join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(sk1)))))),join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1))))))) )],[refute_0_6627,refute_0_6630]) ).
cnf(refute_0_6632,plain,
( join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one))))) != join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1))))))
| top != join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one)))))
| top = join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one)))))) ),[1],$fot(join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))))]]) ).
cnf(refute_0_6633,plain,
( top != join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one)))))
| top = join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one))))),join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1))))))) )],[refute_0_6631,refute_0_6632]) ).
cnf(refute_0_6634,plain,
top = join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))),
inference(resolve,[$cnf( $equal(top,join(sk1,join(converse(complement(join(complement(one),converse(sk1)))),converse(complement(converse(one)))))) )],[refute_0_6603,refute_0_6633]) ).
cnf(refute_0_6635,plain,
converse(complement(meet(one,join(complement(one),converse(sk1))))) = converse(complement(meet(one,join(complement(one),converse(sk1))))),
introduced(tautology,[refl,[$fot(converse(complement(meet(one,join(complement(one),converse(sk1))))))]]) ).
cnf(refute_0_6636,plain,
( complement(meet(one,join(complement(one),converse(sk1)))) != complement(meet(one,converse(join(sk1,complement(one)))))
| converse(complement(meet(one,join(complement(one),converse(sk1))))) != converse(complement(meet(one,join(complement(one),converse(sk1)))))
| converse(complement(meet(one,join(complement(one),converse(sk1))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,join(complement(one),converse(sk1))))),converse(complement(meet(one,join(complement(one),converse(sk1)))))) ),[1,0],$fot(complement(meet(one,converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_6637,plain,
( complement(meet(one,join(complement(one),converse(sk1)))) != complement(meet(one,converse(join(sk1,complement(one)))))
| converse(complement(meet(one,join(complement(one),converse(sk1))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,join(complement(one),converse(sk1))))),converse(complement(meet(one,join(complement(one),converse(sk1)))))) )],[refute_0_6635,refute_0_6636]) ).
cnf(refute_0_6638,plain,
converse(complement(meet(one,join(complement(one),converse(sk1))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(one),converse(sk1)))),complement(meet(one,converse(join(sk1,complement(one)))))) )],[refute_0_5940,refute_0_6637]) ).
cnf(refute_0_6639,plain,
join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))) = join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))),
introduced(tautology,[refl,[$fot(join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))))]]) ).
cnf(refute_0_6640,plain,
( converse(complement(meet(one,join(complement(one),converse(sk1))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))) != join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1))))))
| join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))) = join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))),join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1))))))) ),[1,1],$fot(converse(complement(meet(one,converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_6641,plain,
( converse(complement(meet(one,join(complement(one),converse(sk1))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))) = join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))),join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1))))))) )],[refute_0_6639,refute_0_6640]) ).
cnf(refute_0_6642,plain,
join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))) = join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,join(complement(one),converse(sk1))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) )],[refute_0_6638,refute_0_6641]) ).
cnf(refute_0_6643,plain,
( join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))) != join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| top != join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1))))))
| top = join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1))))))) ),[1],$fot(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6644,plain,
( top != join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1))))))
| top = join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1)))))),join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_6642,refute_0_6643]) ).
cnf(refute_0_6645,plain,
top = join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(top,join(sk1,converse(complement(meet(one,join(complement(one),converse(sk1))))))) )],[refute_0_6634,refute_0_6644]) ).
cnf(refute_0_6646,plain,
( top != join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_6647,plain,
join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = top,
inference(resolve,[$cnf( $equal(top,join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_6645,refute_0_6646]) ).
cnf(refute_0_6648,plain,
( complement(one) != meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))
| join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))) != top
| complement(one) = meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_6649,plain,
( complement(one) != meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))
| complement(one) = meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))),top) )],[refute_0_6647,refute_0_6648]) ).
cnf(refute_0_6650,plain,
complement(one) = meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(join(sk1,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))) )],[refute_0_6599,refute_0_6649]) ).
cnf(refute_0_6651,plain,
join(zero,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6652,plain,
join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6653,plain,
( complement(top) != zero
| join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))) != join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = join(zero,converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))),join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6654,plain,
( complement(top) != zero
| join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = join(zero,converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))),join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_6652,refute_0_6653]) ).
cnf(refute_0_6655,plain,
join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = join(zero,converse(complement(meet(one,converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_6654]) ).
cnf(refute_0_6656,plain,
( join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))) != join(zero,converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| join(zero,converse(complement(meet(one,converse(join(sk1,complement(one))))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))))),bind(Y,$fot(join(zero,converse(complement(meet(one,converse(join(sk1,complement(one))))))))),bind(Z,$fot(converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6657,plain,
( join(zero,converse(complement(meet(one,converse(join(sk1,complement(one))))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))),join(zero,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_6655,refute_0_6656]) ).
cnf(refute_0_6658,plain,
join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(meet(one,converse(join(sk1,complement(one))))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) )],[refute_0_6651,refute_0_6657]) ).
cnf(refute_0_6659,plain,
join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)) = join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(top))),bind(B,$fot(converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6660,plain,
( join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)) != join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)) = converse(complement(meet(one,converse(join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)))),bind(Y,$fot(join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))))),bind(Z,$fot(converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6661,plain,
( join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)) = converse(complement(meet(one,converse(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)),join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_6659,refute_0_6660]) ).
cnf(refute_0_6662,plain,
join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)) = converse(complement(meet(one,converse(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(top),converse(complement(meet(one,converse(join(sk1,complement(one))))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) )],[refute_0_6658,refute_0_6661]) ).
cnf(refute_0_6663,plain,
meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))) = meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))))]]) ).
cnf(refute_0_6664,plain,
( join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))) != meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)))
| meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))) = meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))),meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)))) ),[1,1],$fot(converse(complement(meet(one,converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_6665,plain,
( join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))) = meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))),meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)))) )],[refute_0_6663,refute_0_6664]) ).
cnf(refute_0_6666,plain,
meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))) = meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)),converse(complement(meet(one,converse(join(sk1,complement(one))))))) )],[refute_0_6662,refute_0_6665]) ).
cnf(refute_0_6667,plain,
( complement(one) != meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)))
| meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))) != meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| complement(one) = meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),[0],$fot(meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))))]]) ).
cnf(refute_0_6668,plain,
( complement(one) != meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)))
| complement(one) = meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top))),meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_6666,refute_0_6667]) ).
cnf(refute_0_6669,plain,
complement(one) = meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(top)))) )],[refute_0_6650,refute_0_6668]) ).
cnf(refute_0_6670,plain,
( complement(one) != meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_6671,plain,
meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_6669,refute_0_6670]) ).
cnf(refute_0_6672,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != join(meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))
| meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))) != complement(one)
| converse(complement(meet(one,converse(join(sk1,complement(one)))))) = join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),join(meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_6673,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != join(meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))
| converse(complement(meet(one,converse(join(sk1,complement(one)))))) = join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)) )],[refute_0_6671,refute_0_6672]) ).
cnf(refute_0_6674,plain,
converse(complement(meet(one,converse(join(sk1,complement(one)))))) = join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),join(meet(complement(one),converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))) )],[refute_0_6561,refute_0_6673]) ).
cnf(refute_0_6675,plain,
join(complement(one),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) = complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6676,plain,
join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)) = join(complement(one),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_2226:[bind(A,$fot(complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_6677,plain,
( join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)) != join(complement(one),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| join(complement(one),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) != complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)) = complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))),bind(Y,$fot(join(complement(one),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))))),bind(Z,$fot(complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_6678,plain,
( join(complement(one),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) != complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)) = complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)),join(complement(one),complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_6676,refute_0_6677]) ).
cnf(refute_0_6679,plain,
join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)) = complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))),complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_6675,refute_0_6678]) ).
cnf(refute_0_6680,plain,
meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))) = meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))]]) ).
cnf(refute_0_6681,plain,
( join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)) != complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))) != meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))
| meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))) = meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))),meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) ),[1,1],$fot(complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_6682,plain,
( join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)) != complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))) = meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))),meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) )],[refute_0_6680,refute_0_6681]) ).
cnf(refute_0_6683,plain,
meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))) = meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)),complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_6679,refute_0_6682]) ).
cnf(refute_0_6684,plain,
complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) = complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))))]]) ).
cnf(refute_0_6685,plain,
( complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) != complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))
| meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))) != meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))
| complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) = complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))),complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))) ),[1,0],$fot(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_6686,plain,
( meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))) != meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))
| complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) = complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))),complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))) )],[refute_0_6684,refute_0_6685]) ).
cnf(refute_0_6687,plain,
complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) = complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))),meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))) )],[refute_0_6683,refute_0_6686]) ).
cnf(refute_0_6688,plain,
join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) = complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))]]) ).
cnf(refute_0_6689,plain,
( complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) != complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))
| join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) != complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))
| join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) = complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))))),bind(Y,$fot(complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))))),bind(Z,$fot(complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))))]]) ).
cnf(refute_0_6690,plain,
( complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) != complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))
| join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) = complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))),complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))) )],[refute_0_6688,refute_0_6689]) ).
cnf(refute_0_6691,plain,
join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) = complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))),complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))) )],[refute_0_6687,refute_0_6690]) ).
cnf(refute_0_6692,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))
| join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))) != complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))
| converse(complement(meet(one,converse(join(sk1,complement(one)))))) = complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))) ),[0],$fot(join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))))]]) ).
cnf(refute_0_6693,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))
| converse(complement(meet(one,converse(join(sk1,complement(one)))))) = complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one)))),complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))) )],[refute_0_6691,refute_0_6692]) ).
cnf(refute_0_6694,plain,
converse(complement(meet(one,converse(join(sk1,complement(one)))))) = complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),join(complement(one),complement(join(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(one))))) )],[refute_0_6674,refute_0_6693]) ).
cnf(refute_0_6695,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))
| complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(meet(one,converse(join(sk1,complement(one)))))))),bind(Y,$fot(complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))))]]) ).
cnf(refute_0_6696,plain,
complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))) = converse(complement(meet(one,converse(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))) )],[refute_0_6694,refute_0_6695]) ).
cnf(refute_0_6697,plain,
( complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))) != converse(complement(meet(one,converse(join(sk1,complement(one))))))
| meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) != complement(complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))))
| meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) = complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))),complement(complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))))) ),[1,0],$fot(converse(complement(meet(one,converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_6698,plain,
( meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) != complement(complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))))
| meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) = complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))),converse(complement(meet(one,converse(join(sk1,complement(one))))))) )],[refute_0_6696,refute_0_6697]) ).
cnf(refute_0_6699,plain,
meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) = complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))),complement(complement(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))))) )],[refute_0_6560,refute_0_6698]) ).
cnf(refute_0_6700,plain,
meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6701,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != converse(complement(converse(sk1)))
| meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))) != meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = meet(one,converse(complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))),meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),[1,1],$fot(converse(complement(converse(sk1))))]]) ).
cnf(refute_0_6702,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != converse(complement(converse(sk1)))
| meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = meet(one,converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))),meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_6700,refute_0_6701]) ).
cnf(refute_0_6703,plain,
meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))) = meet(one,converse(complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(sk1)))) )],[refute_0_6006,refute_0_6702]) ).
cnf(refute_0_6704,plain,
complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) = complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_6705,plain,
( complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) != complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))
| meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))) != meet(one,converse(complement(converse(sk1))))
| complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) = complement(meet(one,converse(complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))),complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) ),[1,0],$fot(meet(one,converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6706,plain,
( meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))) != meet(one,converse(complement(converse(sk1))))
| complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) = complement(meet(one,converse(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))),complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) )],[refute_0_6704,refute_0_6705]) ).
cnf(refute_0_6707,plain,
complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) = complement(meet(one,converse(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))),meet(one,converse(complement(converse(sk1))))) )],[refute_0_6703,refute_0_6706]) ).
cnf(refute_0_6708,plain,
meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) = meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_6709,plain,
( complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) != complement(meet(one,converse(complement(converse(sk1)))))
| meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) != meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))
| meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) = meet(one,complement(meet(one,converse(complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))),meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))) ),[1,1],$fot(complement(meet(one,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6710,plain,
( complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))) != complement(meet(one,converse(complement(converse(sk1)))))
| meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) = meet(one,complement(meet(one,converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))),meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))))) )],[refute_0_6708,refute_0_6709]) ).
cnf(refute_0_6711,plain,
meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) = meet(one,complement(meet(one,converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one)))))))),complement(meet(one,converse(complement(converse(sk1)))))) )],[refute_0_6707,refute_0_6710]) ).
cnf(refute_0_6712,plain,
( meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) != complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) != meet(one,complement(meet(one,converse(complement(converse(sk1))))))
| meet(one,complement(meet(one,converse(complement(converse(sk1)))))) = complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),[0],$fot(meet(one,complement(meet(one,converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6713,plain,
( meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) != complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| meet(one,complement(meet(one,converse(complement(converse(sk1)))))) = complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))),meet(one,complement(meet(one,converse(complement(converse(sk1))))))) )],[refute_0_6711,refute_0_6712]) ).
cnf(refute_0_6714,plain,
complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))) = complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_6715,plain,
( complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))) != complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| converse(complement(meet(one,converse(join(sk1,complement(one)))))) != converse(complement(converse(sk1)))
| complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))) = complement(converse(complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),[1,0],$fot(converse(complement(converse(sk1))))]]) ).
cnf(refute_0_6716,plain,
( converse(complement(meet(one,converse(join(sk1,complement(one)))))) != converse(complement(converse(sk1)))
| complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))) = complement(converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_6714,refute_0_6715]) ).
cnf(refute_0_6717,plain,
complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))) = complement(converse(complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(join(sk1,complement(one)))))),converse(complement(converse(sk1)))) )],[refute_0_6006,refute_0_6716]) ).
cnf(refute_0_6718,plain,
( complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))) != complement(converse(complement(converse(sk1))))
| meet(one,complement(meet(one,converse(complement(converse(sk1)))))) != complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| meet(one,complement(meet(one,converse(complement(converse(sk1)))))) = complement(converse(complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(converse(sk1)))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) ),[1],$fot(complement(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6719,plain,
( meet(one,complement(meet(one,converse(complement(converse(sk1)))))) != complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| meet(one,complement(meet(one,converse(complement(converse(sk1)))))) = complement(converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,converse(join(sk1,complement(one))))))),complement(converse(complement(converse(sk1))))) )],[refute_0_6717,refute_0_6718]) ).
cnf(refute_0_6720,plain,
( meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))) != complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))
| meet(one,complement(meet(one,converse(complement(converse(sk1)))))) = complement(converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(converse(sk1)))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_6713,refute_0_6719]) ).
cnf(refute_0_6721,plain,
meet(one,complement(meet(one,converse(complement(converse(sk1)))))) = complement(converse(complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(meet(one,converse(join(sk1,complement(one))))))))),complement(converse(complement(meet(one,converse(join(sk1,complement(one)))))))) )],[refute_0_6699,refute_0_6720]) ).
cnf(refute_0_6722,plain,
complement(meet(one,converse(complement(converse(sk1))))) = meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),bind(X_97,$fot(meet(one,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6723,plain,
one = join(meet(one,meet(sk1,X_285)),complement(join(meet(sk1,X_285),complement(one)))),
inference(subst,[],[refute_0_1535:[bind(X_97,$fot(one)),bind(X_98,$fot(meet(sk1,X_285)))]]) ).
cnf(refute_0_6724,plain,
complement(join(complement(sk1),C)) = meet(sk1,complement(C)),
inference(subst,[],[refute_0_3654:[bind(X_279,$fot(sk1)),bind(X_281,$fot(C))]]) ).
cnf(refute_0_6725,plain,
( complement(join(complement(sk1),C)) != meet(one,complement(join(complement(sk1),C)))
| complement(join(complement(sk1),C)) != meet(sk1,complement(C))
| meet(sk1,complement(C)) = meet(one,complement(join(complement(sk1),C))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(sk1),C)),meet(one,complement(join(complement(sk1),C)))) ),[0],$fot(meet(sk1,complement(C)))]]) ).
cnf(refute_0_6726,plain,
( complement(join(complement(sk1),C)) != meet(one,complement(join(complement(sk1),C)))
| meet(sk1,complement(C)) = meet(one,complement(join(complement(sk1),C))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),C)),meet(sk1,complement(C))) )],[refute_0_6724,refute_0_6725]) ).
cnf(refute_0_6727,plain,
meet(one,complement(join(complement(sk1),C))) = meet(one,complement(join(complement(sk1),C))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(complement(sk1),C))))]]) ).
cnf(refute_0_6728,plain,
( complement(join(complement(sk1),C)) != meet(sk1,complement(C))
| meet(one,complement(join(complement(sk1),C))) != meet(one,complement(join(complement(sk1),C)))
| meet(one,complement(join(complement(sk1),C))) = meet(one,meet(sk1,complement(C))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(complement(sk1),C))),meet(one,complement(join(complement(sk1),C)))) ),[1,1],$fot(meet(sk1,complement(C)))]]) ).
cnf(refute_0_6729,plain,
( complement(join(complement(sk1),C)) != meet(sk1,complement(C))
| meet(one,complement(join(complement(sk1),C))) = meet(one,meet(sk1,complement(C))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(complement(sk1),C))),meet(one,complement(join(complement(sk1),C)))) )],[refute_0_6727,refute_0_6728]) ).
cnf(refute_0_6730,plain,
meet(one,complement(join(complement(sk1),C))) = meet(one,meet(sk1,complement(C))),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),C)),meet(sk1,complement(C))) )],[refute_0_6724,refute_0_6729]) ).
cnf(refute_0_6731,plain,
( meet(one,complement(join(complement(sk1),C))) != meet(one,meet(sk1,complement(C)))
| meet(sk1,complement(C)) != meet(one,complement(join(complement(sk1),C)))
| meet(sk1,complement(C)) = meet(one,meet(sk1,complement(C))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(C)),meet(one,complement(join(complement(sk1),C)))) ),[1],$fot(meet(one,meet(sk1,complement(C))))]]) ).
cnf(refute_0_6732,plain,
( meet(sk1,complement(C)) != meet(one,complement(join(complement(sk1),C)))
| meet(sk1,complement(C)) = meet(one,meet(sk1,complement(C))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(complement(sk1),C))),meet(one,meet(sk1,complement(C)))) )],[refute_0_6730,refute_0_6731]) ).
cnf(refute_0_6733,plain,
( complement(join(complement(sk1),C)) != meet(one,complement(join(complement(sk1),C)))
| meet(sk1,complement(C)) = meet(one,meet(sk1,complement(C))) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(C)),meet(one,complement(join(complement(sk1),C)))) )],[refute_0_6726,refute_0_6732]) ).
cnf(refute_0_6734,plain,
meet(sk1,complement(C)) = meet(one,meet(sk1,complement(C))),
inference(resolve,[$cnf( $equal(complement(join(complement(sk1),C)),meet(one,complement(join(complement(sk1),C)))) )],[refute_0_4455,refute_0_6733]) ).
cnf(refute_0_6735,plain,
meet(sk1,complement(complement(X_97))) = meet(one,meet(sk1,complement(complement(X_97)))),
inference(subst,[],[refute_0_6734:[bind(C,$fot(complement(X_97)))]]) ).
cnf(refute_0_6736,plain,
( complement(complement(X_97)) != X_97
| meet(sk1,complement(complement(X_97))) != meet(one,meet(sk1,complement(complement(X_97))))
| meet(sk1,complement(complement(X_97))) = meet(one,meet(sk1,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(complement(X_97))),meet(one,meet(sk1,complement(complement(X_97))))) ),[1,1,1],$fot(X_97)]]) ).
cnf(refute_0_6737,plain,
( meet(sk1,complement(complement(X_97))) != meet(one,meet(sk1,complement(complement(X_97))))
| meet(sk1,complement(complement(X_97))) = meet(one,meet(sk1,X_97)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_6736]) ).
cnf(refute_0_6738,plain,
meet(sk1,complement(complement(X_97))) = meet(one,meet(sk1,X_97)),
inference(resolve,[$cnf( $equal(meet(sk1,complement(complement(X_97))),meet(one,meet(sk1,complement(complement(X_97))))) )],[refute_0_6735,refute_0_6737]) ).
cnf(refute_0_6739,plain,
meet(sk1,complement(complement(X_97))) = meet(sk1,complement(complement(X_97))),
introduced(tautology,[refl,[$fot(meet(sk1,complement(complement(X_97))))]]) ).
cnf(refute_0_6740,plain,
( complement(complement(X_97)) != X_97
| meet(sk1,complement(complement(X_97))) != meet(sk1,complement(complement(X_97)))
| meet(sk1,complement(complement(X_97))) = meet(sk1,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(complement(X_97))),meet(sk1,complement(complement(X_97)))) ),[1,1],$fot(X_97)]]) ).
cnf(refute_0_6741,plain,
( complement(complement(X_97)) != X_97
| meet(sk1,complement(complement(X_97))) = meet(sk1,X_97) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(complement(X_97))),meet(sk1,complement(complement(X_97)))) )],[refute_0_6739,refute_0_6740]) ).
cnf(refute_0_6742,plain,
meet(sk1,complement(complement(X_97))) = meet(sk1,X_97),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_6741]) ).
cnf(refute_0_6743,plain,
( meet(sk1,complement(complement(X_97))) != meet(one,meet(sk1,X_97))
| meet(sk1,complement(complement(X_97))) != meet(sk1,X_97)
| meet(sk1,X_97) = meet(one,meet(sk1,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(complement(X_97))),meet(one,meet(sk1,X_97))) ),[0],$fot(meet(sk1,X_97))]]) ).
cnf(refute_0_6744,plain,
( meet(sk1,complement(complement(X_97))) != meet(one,meet(sk1,X_97))
| meet(sk1,X_97) = meet(one,meet(sk1,X_97)) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(complement(X_97))),meet(sk1,X_97)) )],[refute_0_6742,refute_0_6743]) ).
cnf(refute_0_6745,plain,
meet(sk1,X_97) = meet(one,meet(sk1,X_97)),
inference(resolve,[$cnf( $equal(meet(sk1,complement(complement(X_97))),meet(one,meet(sk1,X_97))) )],[refute_0_6738,refute_0_6744]) ).
cnf(refute_0_6746,plain,
meet(sk1,X_285) = meet(one,meet(sk1,X_285)),
inference(subst,[],[refute_0_6745:[bind(X_97,$fot(X_285))]]) ).
cnf(refute_0_6747,plain,
( meet(sk1,X_285) != meet(one,meet(sk1,X_285))
| meet(one,meet(sk1,X_285)) = meet(sk1,X_285) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(sk1,X_285))),bind(Y,$fot(meet(one,meet(sk1,X_285))))]]) ).
cnf(refute_0_6748,plain,
meet(one,meet(sk1,X_285)) = meet(sk1,X_285),
inference(resolve,[$cnf( $equal(meet(sk1,X_285),meet(one,meet(sk1,X_285))) )],[refute_0_6746,refute_0_6747]) ).
cnf(refute_0_6749,plain,
( meet(one,meet(sk1,X_285)) != meet(sk1,X_285)
| one != join(meet(one,meet(sk1,X_285)),complement(join(meet(sk1,X_285),complement(one))))
| one = join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,meet(sk1,X_285)),complement(join(meet(sk1,X_285),complement(one))))) ),[1,0],$fot(meet(sk1,X_285))]]) ).
cnf(refute_0_6750,plain,
( one != join(meet(one,meet(sk1,X_285)),complement(join(meet(sk1,X_285),complement(one))))
| one = join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(sk1,X_285)),meet(sk1,X_285)) )],[refute_0_6748,refute_0_6749]) ).
cnf(refute_0_6751,plain,
one = join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,meet(sk1,X_285)),complement(join(meet(sk1,X_285),complement(one))))) )],[refute_0_6723,refute_0_6750]) ).
cnf(refute_0_6752,plain,
complement(join(complement(one),meet(sk1,X_285))) = meet(one,complement(meet(sk1,X_285))),
inference(subst,[],[refute_0_3654:[bind(X_279,$fot(one)),bind(X_281,$fot(meet(sk1,X_285)))]]) ).
cnf(refute_0_6753,plain,
complement(join(meet(sk1,X_285),complement(one))) = complement(join(complement(one),meet(sk1,X_285))),
inference(subst,[],[refute_0_3210:[bind(A,$fot(complement(one))),bind(B,$fot(meet(sk1,X_285)))]]) ).
cnf(refute_0_6754,plain,
( complement(join(complement(one),meet(sk1,X_285))) != meet(one,complement(meet(sk1,X_285)))
| complement(join(meet(sk1,X_285),complement(one))) != complement(join(complement(one),meet(sk1,X_285)))
| complement(join(meet(sk1,X_285),complement(one))) = meet(one,complement(meet(sk1,X_285))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(meet(sk1,X_285),complement(one))))),bind(Y,$fot(complement(join(complement(one),meet(sk1,X_285))))),bind(Z,$fot(meet(one,complement(meet(sk1,X_285)))))]]) ).
cnf(refute_0_6755,plain,
( complement(join(complement(one),meet(sk1,X_285))) != meet(one,complement(meet(sk1,X_285)))
| complement(join(meet(sk1,X_285),complement(one))) = meet(one,complement(meet(sk1,X_285))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(sk1,X_285),complement(one))),complement(join(complement(one),meet(sk1,X_285)))) )],[refute_0_6753,refute_0_6754]) ).
cnf(refute_0_6756,plain,
complement(join(meet(sk1,X_285),complement(one))) = meet(one,complement(meet(sk1,X_285))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),meet(sk1,X_285))),meet(one,complement(meet(sk1,X_285)))) )],[refute_0_6752,refute_0_6755]) ).
cnf(refute_0_6757,plain,
join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))) = join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))),
introduced(tautology,[refl,[$fot(join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))))]]) ).
cnf(refute_0_6758,plain,
( complement(join(meet(sk1,X_285),complement(one))) != meet(one,complement(meet(sk1,X_285)))
| join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))) != join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one))))
| join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))) = join(meet(sk1,X_285),meet(one,complement(meet(sk1,X_285)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))),join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one))))) ),[1,1],$fot(meet(one,complement(meet(sk1,X_285))))]]) ).
cnf(refute_0_6759,plain,
( complement(join(meet(sk1,X_285),complement(one))) != meet(one,complement(meet(sk1,X_285)))
| join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))) = join(meet(sk1,X_285),meet(one,complement(meet(sk1,X_285)))) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))),join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one))))) )],[refute_0_6757,refute_0_6758]) ).
cnf(refute_0_6760,plain,
join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))) = join(meet(sk1,X_285),meet(one,complement(meet(sk1,X_285)))),
inference(resolve,[$cnf( $equal(complement(join(meet(sk1,X_285),complement(one))),meet(one,complement(meet(sk1,X_285)))) )],[refute_0_6756,refute_0_6759]) ).
cnf(refute_0_6761,plain,
( join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))) != join(meet(sk1,X_285),meet(one,complement(meet(sk1,X_285))))
| one != join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one))))
| one = join(meet(sk1,X_285),meet(one,complement(meet(sk1,X_285)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one))))) ),[1],$fot(join(meet(sk1,X_285),meet(one,complement(meet(sk1,X_285)))))]]) ).
cnf(refute_0_6762,plain,
( one != join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one))))
| one = join(meet(sk1,X_285),meet(one,complement(meet(sk1,X_285)))) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one)))),join(meet(sk1,X_285),meet(one,complement(meet(sk1,X_285))))) )],[refute_0_6760,refute_0_6761]) ).
cnf(refute_0_6763,plain,
one = join(meet(sk1,X_285),meet(one,complement(meet(sk1,X_285)))),
inference(resolve,[$cnf( $equal(one,join(meet(sk1,X_285),complement(join(meet(sk1,X_285),complement(one))))) )],[refute_0_6751,refute_0_6762]) ).
cnf(refute_0_6764,plain,
one = join(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))),
inference(subst,[],[refute_0_6763:[bind(X_285,$fot(meet(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6765,plain,
( meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != meet(one,complement(converse(meet(one,complement(converse(sk1))))))
| one != join(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))
| one = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))) ),[1,0],$fot(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6766,plain,
( one != join(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))
| one = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) ),
inference(resolve,[$cnf( $equal(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6524,refute_0_6765]) ).
cnf(refute_0_6767,plain,
one = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))),
inference(resolve,[$cnf( $equal(one,join(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))) )],[refute_0_6764,refute_0_6766]) ).
cnf(refute_0_6768,plain,
join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,converse(complement(converse(sk1))))) = join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),bind(B,$fot(meet(one,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6769,plain,
complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) = complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),
introduced(tautology,[refl,[$fot(complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6770,plain,
( complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) != complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))
| meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != meet(one,complement(converse(meet(one,complement(converse(sk1))))))
| complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) = complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))) ),[1,0],$fot(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6771,plain,
( meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != meet(one,complement(converse(meet(one,complement(converse(sk1))))))
| complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) = complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))) )],[refute_0_6769,refute_0_6770]) ).
cnf(refute_0_6772,plain,
complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) = complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6524,refute_0_6771]) ).
cnf(refute_0_6773,plain,
( complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != converse(complement(converse(sk1)))
| complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) != complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) = converse(complement(converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))),bind(Y,$fot(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))))),bind(Z,$fot(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6774,plain,
( complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != converse(complement(converse(sk1)))
| complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) = converse(complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),complement(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6772,refute_0_6773]) ).
cnf(refute_0_6775,plain,
complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) = converse(complement(converse(sk1))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(meet(one,complement(converse(sk1))))))),converse(complement(converse(sk1)))) )],[refute_0_6535,refute_0_6774]) ).
cnf(refute_0_6776,plain,
meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))) = meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))]]) ).
cnf(refute_0_6777,plain,
( complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) != converse(complement(converse(sk1)))
| meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))) != meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))
| meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))) = meet(one,converse(complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) ),[1,1],$fot(converse(complement(converse(sk1))))]]) ).
cnf(refute_0_6778,plain,
( complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) != converse(complement(converse(sk1)))
| meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))) = meet(one,converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) )],[refute_0_6776,refute_0_6777]) ).
cnf(refute_0_6779,plain,
meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))) = meet(one,converse(complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))),converse(complement(converse(sk1)))) )],[refute_0_6775,refute_0_6778]) ).
cnf(refute_0_6780,plain,
join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))))]]) ).
cnf(refute_0_6781,plain,
( join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) != join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))
| meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))) != meet(one,converse(complement(converse(sk1))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,converse(complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))) ),[1,1],$fot(meet(one,converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6782,plain,
( meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))) != meet(one,converse(complement(converse(sk1))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,converse(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))) )],[refute_0_6780,refute_0_6781]) ).
cnf(refute_0_6783,plain,
join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,converse(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))),meet(one,converse(complement(converse(sk1))))) )],[refute_0_6779,refute_0_6782]) ).
cnf(refute_0_6784,plain,
( join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) != join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,converse(complement(converse(sk1)))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,converse(complement(converse(sk1))))) != join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) = join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))))),bind(Y,$fot(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,converse(complement(converse(sk1))))))),bind(Z,$fot(join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6785,plain,
( join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,converse(complement(converse(sk1))))) != join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) = join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,converse(complement(converse(sk1)))))) )],[refute_0_6783,refute_0_6784]) ).
cnf(refute_0_6786,plain,
join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) = join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,converse(complement(converse(sk1))))),join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6768,refute_0_6785]) ).
cnf(refute_0_6787,plain,
( join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))) != join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| one != join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))
| one = join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))) ),[1],$fot(join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6788,plain,
( one != join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))
| one = join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))),join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6786,refute_0_6787]) ).
cnf(refute_0_6789,plain,
one = join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),meet(one,complement(meet(sk1,meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))) )],[refute_0_6767,refute_0_6788]) ).
cnf(refute_0_6790,plain,
( one != join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6791,plain,
join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = one,
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6789,refute_0_6790]) ).
cnf(refute_0_6792,plain,
( complement(meet(one,converse(complement(converse(sk1))))) != meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))
| join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != one
| complement(meet(one,converse(complement(converse(sk1))))) = meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,converse(complement(converse(sk1))))),meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_0_6793,plain,
( complement(meet(one,converse(complement(converse(sk1))))) != meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))
| complement(meet(one,converse(complement(converse(sk1))))) = meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),one) )],[refute_0_6791,refute_0_6792]) ).
cnf(refute_0_6794,plain,
complement(meet(one,converse(complement(converse(sk1))))) = meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(converse(sk1))))),meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(join(meet(one,converse(complement(converse(sk1)))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))))))) )],[refute_0_6722,refute_0_6793]) ).
cnf(refute_0_6795,plain,
complement(converse(meet(one,complement(converse(sk1))))) = meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1))))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(complement(meet(one,converse(complement(converse(sk1))))))),bind(X_97,$fot(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6796,plain,
converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) = converse(join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1)))))))),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(meet(one,complement(converse(sk1))))),bind(X_12,$fot(converse(complement(meet(one,converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6797,plain,
top = join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))))))),
inference(subst,[],[refute_0_3440:[bind(X_25,$fot(meet(one,complement(converse(sk1))))),bind(X_26,$fot(converse(complement(converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6798,plain,
( join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))) != one
| top != join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))))))))
| top = join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))))))))) ),[1,1,1,0,0,0],$fot(one)]]) ).
cnf(refute_0_6799,plain,
( top != join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))))))))
| top = join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))),one) )],[refute_0_6148,refute_0_6798]) ).
cnf(refute_0_6800,plain,
top = join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))),
inference(resolve,[$cnf( $equal(top,join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))))))))) )],[refute_0_6797,refute_0_6799]) ).
cnf(refute_0_6801,plain,
meet(converse(one),converse(complement(converse(sk1)))) = meet(converse(one),converse(complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(meet(converse(one),converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6802,plain,
( converse(one) != one
| meet(converse(one),converse(complement(converse(sk1)))) != meet(converse(one),converse(complement(converse(sk1))))
| meet(converse(one),converse(complement(converse(sk1)))) = meet(one,converse(complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(one),converse(complement(converse(sk1)))),meet(converse(one),converse(complement(converse(sk1))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_6803,plain,
( converse(one) != one
| meet(converse(one),converse(complement(converse(sk1)))) = meet(one,converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(one),converse(complement(converse(sk1)))),meet(converse(one),converse(complement(converse(sk1))))) )],[refute_0_6801,refute_0_6802]) ).
cnf(refute_0_6804,plain,
meet(converse(one),converse(complement(converse(sk1)))) = meet(one,converse(complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_6803]) ).
cnf(refute_0_6805,plain,
complement(meet(converse(one),converse(complement(converse(sk1))))) = complement(meet(converse(one),converse(complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(complement(meet(converse(one),converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6806,plain,
( complement(meet(converse(one),converse(complement(converse(sk1))))) != complement(meet(converse(one),converse(complement(converse(sk1)))))
| meet(converse(one),converse(complement(converse(sk1)))) != meet(one,converse(complement(converse(sk1))))
| complement(meet(converse(one),converse(complement(converse(sk1))))) = complement(meet(one,converse(complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(one),converse(complement(converse(sk1))))),complement(meet(converse(one),converse(complement(converse(sk1)))))) ),[1,0],$fot(meet(one,converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6807,plain,
( meet(converse(one),converse(complement(converse(sk1)))) != meet(one,converse(complement(converse(sk1))))
| complement(meet(converse(one),converse(complement(converse(sk1))))) = complement(meet(one,converse(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(one),converse(complement(converse(sk1))))),complement(meet(converse(one),converse(complement(converse(sk1)))))) )],[refute_0_6805,refute_0_6806]) ).
cnf(refute_0_6808,plain,
complement(meet(converse(one),converse(complement(converse(sk1))))) = complement(meet(one,converse(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(converse(one),converse(complement(converse(sk1)))),meet(one,converse(complement(converse(sk1))))) )],[refute_0_6804,refute_0_6807]) ).
cnf(refute_0_6809,plain,
join(complement(converse(one)),complement(converse(complement(converse(sk1))))) = complement(meet(converse(one),converse(complement(converse(sk1))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(converse(one))),bind(B,$fot(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6810,plain,
( complement(meet(converse(one),converse(complement(converse(sk1))))) != complement(meet(one,converse(complement(converse(sk1)))))
| join(complement(converse(one)),complement(converse(complement(converse(sk1))))) != complement(meet(converse(one),converse(complement(converse(sk1)))))
| join(complement(converse(one)),complement(converse(complement(converse(sk1))))) = complement(meet(one,converse(complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))),bind(Y,$fot(complement(meet(converse(one),converse(complement(converse(sk1))))))),bind(Z,$fot(complement(meet(one,converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6811,plain,
( complement(meet(converse(one),converse(complement(converse(sk1))))) != complement(meet(one,converse(complement(converse(sk1)))))
| join(complement(converse(one)),complement(converse(complement(converse(sk1))))) = complement(meet(one,converse(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),complement(converse(complement(converse(sk1))))),complement(meet(converse(one),converse(complement(converse(sk1)))))) )],[refute_0_6809,refute_0_6810]) ).
cnf(refute_0_6812,plain,
join(complement(converse(one)),complement(converse(complement(converse(sk1))))) = complement(meet(one,converse(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(one),converse(complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1)))))) )],[refute_0_6808,refute_0_6811]) ).
cnf(refute_0_6813,plain,
converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))) = converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))),
introduced(tautology,[refl,[$fot(converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6814,plain,
( converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))) != converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))
| join(complement(converse(one)),complement(converse(complement(converse(sk1))))) != complement(meet(one,converse(complement(converse(sk1)))))
| converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))) = converse(complement(meet(one,converse(complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) ),[1,0],$fot(complement(meet(one,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6815,plain,
( join(complement(converse(one)),complement(converse(complement(converse(sk1))))) != complement(meet(one,converse(complement(converse(sk1)))))
| converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))) = converse(complement(meet(one,converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) )],[refute_0_6813,refute_0_6814]) ).
cnf(refute_0_6816,plain,
converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))) = converse(complement(meet(one,converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),complement(converse(complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1)))))) )],[refute_0_6812,refute_0_6815]) ).
cnf(refute_0_6817,plain,
join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6818,plain,
( converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))) != converse(complement(meet(one,converse(complement(converse(sk1))))))
| join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) != join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))
| join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) = join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))),join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))) ),[1,1],$fot(converse(complement(meet(one,converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6819,plain,
( converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))) != converse(complement(meet(one,converse(complement(converse(sk1))))))
| join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) = join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))),join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))) )],[refute_0_6817,refute_0_6818]) ).
cnf(refute_0_6820,plain,
join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) = join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))),converse(complement(meet(one,converse(complement(converse(sk1))))))) )],[refute_0_6816,refute_0_6819]) ).
cnf(refute_0_6821,plain,
join(meet(one,complement(converse(sk1))),converse(join(complement(converse(complement(converse(sk1)))),complement(converse(one))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))),
inference(subst,[],[refute_0_2734:[bind(A,$fot(meet(one,complement(converse(sk1))))),bind(X_25,$fot(complement(converse(complement(converse(sk1)))))),bind(X_26,$fot(complement(converse(one))))]]) ).
cnf(refute_0_6822,plain,
converse(join(X_11,converse(join(X_14,converse(X_13))))) = join(converse(X_11),join(X_14,converse(X_13))),
inference(subst,[],[refute_0_1350:[bind(A,$fot(join(X_14,converse(X_13))))]]) ).
cnf(refute_0_6823,plain,
( converse(join(X_11,converse(join(X_14,converse(X_13))))) != join(converse(X_11),join(X_14,converse(X_13)))
| converse(join(X_14,converse(X_13))) != join(converse(X_14),X_13)
| converse(join(X_11,join(converse(X_14),X_13))) = join(converse(X_11),join(X_14,converse(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_11,converse(join(X_14,converse(X_13))))),join(converse(X_11),join(X_14,converse(X_13)))) ),[0,0,1],$fot(join(converse(X_14),X_13))]]) ).
cnf(refute_0_6824,plain,
( converse(join(X_11,converse(join(X_14,converse(X_13))))) != join(converse(X_11),join(X_14,converse(X_13)))
| converse(join(X_11,join(converse(X_14),X_13))) = join(converse(X_11),join(X_14,converse(X_13))) ),
inference(resolve,[$cnf( $equal(converse(join(X_14,converse(X_13))),join(converse(X_14),X_13)) )],[refute_0_3845,refute_0_6823]) ).
cnf(refute_0_6825,plain,
converse(join(X_11,join(converse(X_14),X_13))) = join(converse(X_11),join(X_14,converse(X_13))),
inference(resolve,[$cnf( $equal(converse(join(X_11,converse(join(X_14,converse(X_13))))),join(converse(X_11),join(X_14,converse(X_13)))) )],[refute_0_6822,refute_0_6824]) ).
cnf(refute_0_6826,plain,
converse(join(X_11,join(converse(X_14),X_13))) = join(X_14,converse(join(X_13,X_11))),
inference(subst,[],[refute_0_2789:[bind(A,$fot(X_14)),bind(X_155,$fot(X_11)),bind(X_157,$fot(X_13))]]) ).
cnf(refute_0_6827,plain,
( converse(join(X_11,join(converse(X_14),X_13))) != join(X_14,converse(join(X_13,X_11)))
| converse(join(X_11,join(converse(X_14),X_13))) != join(converse(X_11),join(X_14,converse(X_13)))
| join(X_14,converse(join(X_13,X_11))) = join(converse(X_11),join(X_14,converse(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_11,join(converse(X_14),X_13))),join(converse(X_11),join(X_14,converse(X_13)))) ),[0],$fot(join(X_14,converse(join(X_13,X_11))))]]) ).
cnf(refute_0_6828,plain,
( converse(join(X_11,join(converse(X_14),X_13))) != join(converse(X_11),join(X_14,converse(X_13)))
| join(X_14,converse(join(X_13,X_11))) = join(converse(X_11),join(X_14,converse(X_13))) ),
inference(resolve,[$cnf( $equal(converse(join(X_11,join(converse(X_14),X_13))),join(X_14,converse(join(X_13,X_11)))) )],[refute_0_6826,refute_0_6827]) ).
cnf(refute_0_6829,plain,
join(X_14,converse(join(X_13,X_11))) = join(converse(X_11),join(X_14,converse(X_13))),
inference(resolve,[$cnf( $equal(converse(join(X_11,join(converse(X_14),X_13))),join(converse(X_11),join(X_14,converse(X_13)))) )],[refute_0_6825,refute_0_6828]) ).
cnf(refute_0_6830,plain,
( join(X_14,converse(join(X_13,X_11))) != join(converse(X_11),join(X_14,converse(X_13)))
| join(converse(X_11),join(X_14,converse(X_13))) = join(X_14,converse(join(X_13,X_11))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_14,converse(join(X_13,X_11))))),bind(Y,$fot(join(converse(X_11),join(X_14,converse(X_13)))))]]) ).
cnf(refute_0_6831,plain,
join(converse(X_11),join(X_14,converse(X_13))) = join(X_14,converse(join(X_13,X_11))),
inference(resolve,[$cnf( $equal(join(X_14,converse(join(X_13,X_11))),join(converse(X_11),join(X_14,converse(X_13)))) )],[refute_0_6829,refute_0_6830]) ).
cnf(refute_0_6832,plain,
join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(complement(converse(sk1)))),complement(converse(one))))),
inference(subst,[],[refute_0_6831:[bind(X_11,$fot(complement(converse(one)))),bind(X_13,$fot(complement(converse(complement(converse(sk1)))))),bind(X_14,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_6833,plain,
( join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))) != join(meet(one,complement(converse(sk1))),converse(join(complement(converse(complement(converse(sk1)))),complement(converse(one)))))
| join(meet(one,complement(converse(sk1))),converse(join(complement(converse(complement(converse(sk1)))),complement(converse(one))))) != join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))
| join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))))),bind(Y,$fot(join(meet(one,complement(converse(sk1))),converse(join(complement(converse(complement(converse(sk1)))),complement(converse(one))))))),bind(Z,$fot(join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6834,plain,
( join(meet(one,complement(converse(sk1))),converse(join(complement(converse(complement(converse(sk1)))),complement(converse(one))))) != join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))
| join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))),join(meet(one,complement(converse(sk1))),converse(join(complement(converse(complement(converse(sk1)))),complement(converse(one)))))) )],[refute_0_6832,refute_0_6833]) ).
cnf(refute_0_6835,plain,
join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(join(complement(converse(complement(converse(sk1)))),complement(converse(one))))),join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))) )],[refute_0_6821,refute_0_6834]) ).
cnf(refute_0_6836,plain,
join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1))))) = join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))),
inference(subst,[],[refute_0_3874:[bind(X_31,$fot(converse(complement(converse(one))))),bind(X_32,$fot(converse(complement(converse(complement(converse(sk1))))))),bind(X_33,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_6837,plain,
( join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1))))) != join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))))
| join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))) != join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))
| join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1))))))),bind(Y,$fot(join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))))),bind(Z,$fot(join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6838,plain,
( join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))) != join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))
| join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1))))),join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1)))))))) )],[refute_0_6836,refute_0_6837]) ).
cnf(refute_0_6839,plain,
join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),join(meet(one,complement(converse(sk1))),converse(complement(converse(complement(converse(sk1))))))),join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))) )],[refute_0_6835,refute_0_6838]) ).
cnf(refute_0_6840,plain,
join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one))))) = join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_4586:[bind(X_155,$fot(converse(complement(converse(one))))),bind(X_156,$fot(meet(one,complement(converse(sk1))))),bind(X_157,$fot(converse(complement(converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6841,plain,
( join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1))))) != join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))
| join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one))))) != join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1)))))
| join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one))))))),bind(Y,$fot(join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1))))))),bind(Z,$fot(join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6842,plain,
( join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1))))) != join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))
| join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one))))),join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1)))))) )],[refute_0_6840,refute_0_6841]) ).
cnf(refute_0_6843,plain,
join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),join(converse(complement(converse(complement(converse(sk1))))),meet(one,complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))) )],[refute_0_6839,refute_0_6842]) ).
cnf(refute_0_6844,plain,
join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))) = join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one))))),
inference(subst,[],[refute_0_4153:[bind(X_155,$fot(meet(one,complement(converse(sk1))))),bind(X_156,$fot(converse(complement(converse(complement(converse(sk1))))))),bind(X_157,$fot(converse(complement(converse(one)))))]]) ).
cnf(refute_0_6845,plain,
( join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))) != join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one)))))
| join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one))))) != join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))
| join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))))),bind(Y,$fot(join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one))))))),bind(Z,$fot(join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6846,plain,
( join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one))))) != join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))
| join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))),join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one)))))) )],[refute_0_6844,refute_0_6845]) ).
cnf(refute_0_6847,plain,
join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))) = join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),join(converse(complement(converse(complement(converse(sk1))))),converse(complement(converse(one))))),join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))) )],[refute_0_6843,refute_0_6846]) ).
cnf(refute_0_6848,plain,
( join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))) != join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))
| join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) != join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1)))))))
| join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))) = join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))))),bind(Y,$fot(join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))))),bind(Z,$fot(join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6849,plain,
( join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))) != join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1)))))))
| join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))) = join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))),join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1)))))))) )],[refute_0_6847,refute_0_6848]) ).
cnf(refute_0_6850,plain,
join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))) = join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(join(complement(converse(one)),complement(converse(complement(converse(sk1))))))),join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1)))))))) )],[refute_0_6820,refute_0_6849]) ).
cnf(refute_0_6851,plain,
( join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))) != join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1)))))))
| top != join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one)))))
| top = join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one)))))) ),[1],$fot(join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6852,plain,
( top != join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one)))))
| top = join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one))))),join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1)))))))) )],[refute_0_6850,refute_0_6851]) ).
cnf(refute_0_6853,plain,
top = join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(top,join(converse(complement(converse(complement(converse(sk1))))),join(meet(one,complement(converse(sk1))),converse(complement(converse(one)))))) )],[refute_0_6800,refute_0_6852]) ).
cnf(refute_0_6854,plain,
( top != join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1)))))))
| join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6855,plain,
join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1)))))))) )],[refute_0_6853,refute_0_6854]) ).
cnf(refute_0_6856,plain,
( converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) != converse(join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))))
| join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))) != top
| converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))),converse(join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6857,plain,
( converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) != converse(join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))))
| converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))),top) )],[refute_0_6855,refute_0_6856]) ).
cnf(refute_0_6858,plain,
converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))),converse(join(meet(one,complement(converse(sk1))),converse(complement(meet(one,converse(complement(converse(sk1))))))))) )],[refute_0_6796,refute_0_6857]) ).
cnf(refute_0_6859,plain,
join(complement(meet(one,converse(complement(converse(sk1))))),converse(meet(one,complement(converse(sk1))))) = join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(meet(one,complement(converse(sk1)))))),bind(B,$fot(complement(meet(one,converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6860,plain,
converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) = join(complement(meet(one,converse(complement(converse(sk1))))),converse(meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_705:[bind(A,$fot(complement(meet(one,converse(complement(converse(sk1))))))),bind(X_12,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_6861,plain,
( converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) != join(complement(meet(one,converse(complement(converse(sk1))))),converse(meet(one,complement(converse(sk1)))))
| join(complement(meet(one,converse(complement(converse(sk1))))),converse(meet(one,complement(converse(sk1))))) != join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1))))))
| converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) = join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))))),bind(Y,$fot(join(complement(meet(one,converse(complement(converse(sk1))))),converse(meet(one,complement(converse(sk1))))))),bind(Z,$fot(join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6862,plain,
( join(complement(meet(one,converse(complement(converse(sk1))))),converse(meet(one,complement(converse(sk1))))) != join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1))))))
| converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) = join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6860,refute_0_6861]) ).
cnf(refute_0_6863,plain,
converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) = join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,converse(complement(converse(sk1))))),converse(meet(one,complement(converse(sk1))))),join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1))))))) )],[refute_0_6859,refute_0_6862]) ).
cnf(refute_0_6864,plain,
( converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) != converse(top)
| converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) != join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1))))))
| join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))),converse(top)) ),[0],$fot(join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6865,plain,
( converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) != converse(top)
| join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))),join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1))))))) )],[refute_0_6863,refute_0_6864]) ).
cnf(refute_0_6866,plain,
( converse(top) != top
| join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))) != converse(top)
| join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_6867,plain,
( join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))) != converse(top)
| join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_6866]) ).
cnf(refute_0_6868,plain,
( converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))) != converse(top)
| join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))),converse(top)) )],[refute_0_6865,refute_0_6867]) ).
cnf(refute_0_6869,plain,
join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(sk1))))),converse(top)) )],[refute_0_6858,refute_0_6868]) ).
cnf(refute_0_6870,plain,
( complement(converse(meet(one,complement(converse(sk1))))) != meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))))))
| join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))) != top
| complement(converse(meet(one,complement(converse(sk1))))) = meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(one,complement(converse(sk1))))),meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_6871,plain,
( complement(converse(meet(one,complement(converse(sk1))))) != meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))))))
| complement(converse(meet(one,complement(converse(sk1))))) = meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))),top) )],[refute_0_6869,refute_0_6870]) ).
cnf(refute_0_6872,plain,
complement(converse(meet(one,complement(converse(sk1))))) = meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(converse(sk1))))),meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(join(converse(meet(one,complement(converse(sk1)))),complement(meet(one,converse(complement(converse(sk1)))))))))) )],[refute_0_6795,refute_0_6871]) ).
cnf(refute_0_6873,plain,
meet(meet(one,converse(complement(converse(sk1)))),top) = meet(one,converse(complement(converse(sk1)))),
inference(subst,[],[refute_0_1906:[bind(X_97,$fot(meet(one,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6874,plain,
complement(meet(meet(one,converse(complement(converse(sk1)))),top)) = complement(meet(meet(one,converse(complement(converse(sk1)))),top)),
introduced(tautology,[refl,[$fot(complement(meet(meet(one,converse(complement(converse(sk1)))),top)))]]) ).
cnf(refute_0_6875,plain,
( complement(meet(meet(one,converse(complement(converse(sk1)))),top)) != complement(meet(meet(one,converse(complement(converse(sk1)))),top))
| meet(meet(one,converse(complement(converse(sk1)))),top) != meet(one,converse(complement(converse(sk1))))
| complement(meet(meet(one,converse(complement(converse(sk1)))),top)) = complement(meet(one,converse(complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(meet(one,converse(complement(converse(sk1)))),top)),complement(meet(meet(one,converse(complement(converse(sk1)))),top))) ),[1,0],$fot(meet(one,converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_6876,plain,
( meet(meet(one,converse(complement(converse(sk1)))),top) != meet(one,converse(complement(converse(sk1))))
| complement(meet(meet(one,converse(complement(converse(sk1)))),top)) = complement(meet(one,converse(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(meet(one,converse(complement(converse(sk1)))),top)),complement(meet(meet(one,converse(complement(converse(sk1)))),top))) )],[refute_0_6874,refute_0_6875]) ).
cnf(refute_0_6877,plain,
complement(meet(meet(one,converse(complement(converse(sk1)))),top)) = complement(meet(one,converse(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(meet(one,converse(complement(converse(sk1)))),top),meet(one,converse(complement(converse(sk1))))) )],[refute_0_6873,refute_0_6876]) ).
cnf(refute_0_6878,plain,
join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)) = complement(meet(meet(one,converse(complement(converse(sk1)))),top)),
inference(subst,[],[refute_0_1144:[bind(A,$fot(meet(one,converse(complement(converse(sk1)))))),bind(B,$fot(top))]]) ).
cnf(refute_0_6879,plain,
( complement(meet(meet(one,converse(complement(converse(sk1)))),top)) != complement(meet(one,converse(complement(converse(sk1)))))
| join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)) != complement(meet(meet(one,converse(complement(converse(sk1)))),top))
| join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)) = complement(meet(one,converse(complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)))),bind(Y,$fot(complement(meet(meet(one,converse(complement(converse(sk1)))),top)))),bind(Z,$fot(complement(meet(one,converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6880,plain,
( complement(meet(meet(one,converse(complement(converse(sk1)))),top)) != complement(meet(one,converse(complement(converse(sk1)))))
| join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)) = complement(meet(one,converse(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)),complement(meet(meet(one,converse(complement(converse(sk1)))),top))) )],[refute_0_6878,refute_0_6879]) ).
cnf(refute_0_6881,plain,
join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)) = complement(meet(one,converse(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(meet(meet(one,converse(complement(converse(sk1)))),top)),complement(meet(one,converse(complement(converse(sk1)))))) )],[refute_0_6877,refute_0_6880]) ).
cnf(refute_0_6882,plain,
meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))) = meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))))]]) ).
cnf(refute_0_6883,plain,
( join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)) != complement(meet(one,converse(complement(converse(sk1)))))
| meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))) != meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)))
| meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))) = meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))),meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)))) ),[1,1],$fot(complement(meet(one,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6884,plain,
( join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)) != complement(meet(one,converse(complement(converse(sk1)))))
| meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))) = meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))),meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)))) )],[refute_0_6882,refute_0_6883]) ).
cnf(refute_0_6885,plain,
meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))) = meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)),complement(meet(one,converse(complement(converse(sk1)))))) )],[refute_0_6881,refute_0_6884]) ).
cnf(refute_0_6886,plain,
( complement(converse(meet(one,complement(converse(sk1))))) != meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)))
| meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))) != meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1))))))
| complement(converse(meet(one,complement(converse(sk1))))) = meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(meet(one,complement(converse(sk1))))),meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1))))))) ),[0],$fot(meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))))]]) ).
cnf(refute_0_6887,plain,
( complement(converse(meet(one,complement(converse(sk1))))) != meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)))
| complement(converse(meet(one,complement(converse(sk1))))) = meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top))),meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1))))))) )],[refute_0_6885,refute_0_6886]) ).
cnf(refute_0_6888,plain,
complement(converse(meet(one,complement(converse(sk1))))) = meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(converse(sk1))))),meet(complement(converse(meet(one,complement(converse(sk1))))),join(complement(meet(one,converse(complement(converse(sk1))))),complement(top)))) )],[refute_0_6872,refute_0_6887]) ).
cnf(refute_0_6889,plain,
meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1)))))) = complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1)))))),
inference(subst,[],[refute_0_3404:[bind(X_280,$fot(one)),bind(X_281,$fot(converse(complement(converse(sk1))))),bind(X_97,$fot(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6890,plain,
( complement(converse(meet(one,complement(converse(sk1))))) != meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1))))))
| meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1)))))) != complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1))))))
| complement(converse(meet(one,complement(converse(sk1))))) = complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(meet(one,complement(converse(sk1))))),complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1))))))) ),[0],$fot(meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_6891,plain,
( complement(converse(meet(one,complement(converse(sk1))))) != meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1))))))
| complement(converse(meet(one,complement(converse(sk1))))) = complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1)))))),complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1))))))) )],[refute_0_6889,refute_0_6890]) ).
cnf(refute_0_6892,plain,
complement(converse(meet(one,complement(converse(sk1))))) = complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(converse(sk1))))),meet(complement(converse(meet(one,complement(converse(sk1))))),complement(meet(one,converse(complement(converse(sk1))))))) )],[refute_0_6888,refute_0_6891]) ).
cnf(refute_0_6893,plain,
( complement(converse(meet(one,complement(converse(sk1))))) != complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1))))))
| complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(meet(one,complement(converse(sk1))))))),bind(Y,$fot(complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1))))))))]]) ).
cnf(refute_0_6894,plain,
complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(converse(sk1))))),complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1))))))) )],[refute_0_6892,refute_0_6893]) ).
cnf(refute_0_6895,plain,
complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1)))))) = complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1)))))),
inference(subst,[],[refute_0_3210:[bind(A,$fot(converse(meet(one,complement(converse(sk1)))))),bind(B,$fot(meet(one,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6896,plain,
( complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1)))))) != complement(converse(meet(one,complement(converse(sk1)))))
| complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1)))))) != complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1))))))
| complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1)))))))),bind(Y,$fot(complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1)))))))),bind(Z,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6897,plain,
( complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1)))))) != complement(converse(meet(one,complement(converse(sk1)))))
| complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1)))))),complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1))))))) )],[refute_0_6895,refute_0_6896]) ).
cnf(refute_0_6898,plain,
complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(join(converse(meet(one,complement(converse(sk1)))),meet(one,converse(complement(converse(sk1)))))),complement(converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6894,refute_0_6897]) ).
cnf(refute_0_6899,plain,
meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))) = complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1)))))),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(converse(meet(one,complement(converse(sk1)))))),bind(X_97,$fot(meet(one,converse(complement(converse(sk1))))))]]) ).
cnf(refute_0_6900,plain,
( complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1)))))) != complement(converse(meet(one,complement(converse(sk1)))))
| meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))) != complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1))))))
| meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))))),bind(Y,$fot(complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1)))))))),bind(Z,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6901,plain,
( complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1)))))) != complement(converse(meet(one,complement(converse(sk1)))))
| meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))),complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6899,refute_0_6900]) ).
cnf(refute_0_6902,plain,
meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(join(meet(one,converse(complement(converse(sk1)))),converse(meet(one,complement(converse(sk1)))))),complement(converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6898,refute_0_6901]) ).
cnf(refute_0_6903,plain,
complement(converse(meet(one,complement(converse(sk1))))) = join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),meet(complement(one),complement(converse(meet(one,complement(converse(sk1))))))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(one)),bind(X_117,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6904,plain,
complement(one) = meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(join(one,complement(converse(meet(one,complement(converse(sk1))))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(complement(converse(meet(one,complement(converse(sk1))))))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_6905,plain,
converse(join(converse(A),join(one,complement(join(sk1,converse(A)))))) = join(A,converse(join(one,complement(join(sk1,converse(A)))))),
inference(subst,[],[refute_0_705:[bind(X_12,$fot(join(one,complement(join(sk1,converse(A))))))]]) ).
cnf(refute_0_6906,plain,
join(converse(A),join(one,complement(join(sk1,converse(A))))) = top,
inference(subst,[],[refute_0_4873:[bind(X_53,$fot(converse(A)))]]) ).
cnf(refute_0_6907,plain,
( converse(join(converse(A),join(one,complement(join(sk1,converse(A)))))) != join(A,converse(join(one,complement(join(sk1,converse(A))))))
| join(converse(A),join(one,complement(join(sk1,converse(A))))) != top
| converse(top) = join(A,converse(join(one,complement(join(sk1,converse(A)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(one,complement(join(sk1,converse(A)))))),join(A,converse(join(one,complement(join(sk1,converse(A))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_6908,plain,
( converse(join(converse(A),join(one,complement(join(sk1,converse(A)))))) != join(A,converse(join(one,complement(join(sk1,converse(A))))))
| converse(top) = join(A,converse(join(one,complement(join(sk1,converse(A)))))) ),
inference(resolve,[$cnf( $equal(join(converse(A),join(one,complement(join(sk1,converse(A))))),top) )],[refute_0_6906,refute_0_6907]) ).
cnf(refute_0_6909,plain,
converse(top) = join(A,converse(join(one,complement(join(sk1,converse(A)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(one,complement(join(sk1,converse(A)))))),join(A,converse(join(one,complement(join(sk1,converse(A))))))) )],[refute_0_6905,refute_0_6908]) ).
cnf(refute_0_6910,plain,
( converse(top) != join(A,converse(join(one,complement(join(sk1,converse(A))))))
| converse(top) != top
| top = join(A,converse(join(one,complement(join(sk1,converse(A)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(A,converse(join(one,complement(join(sk1,converse(A))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_6911,plain,
( converse(top) != join(A,converse(join(one,complement(join(sk1,converse(A))))))
| top = join(A,converse(join(one,complement(join(sk1,converse(A)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_6910]) ).
cnf(refute_0_6912,plain,
top = join(A,converse(join(one,complement(join(sk1,converse(A)))))),
inference(resolve,[$cnf( $equal(converse(top),join(A,converse(join(one,complement(join(sk1,converse(A))))))) )],[refute_0_6909,refute_0_6911]) ).
cnf(refute_0_6913,plain,
top = join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,converse(join(one,complement(converse(meet(one,complement(converse(sk1)))))))))))),
inference(subst,[],[refute_0_6912:[bind(A,$fot(join(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6914,plain,
join(converse(sk1),join(meet(one,complement(converse(sk1))),converse(complement(converse(meet(one,complement(converse(sk1)))))))) = join(one,converse(complement(converse(meet(one,complement(converse(sk1))))))),
inference(subst,[],[refute_0_5091:[bind(C,$fot(converse(complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6915,plain,
top = join(meet(one,complement(converse(sk1))),converse(complement(converse(meet(one,complement(converse(sk1))))))),
inference(subst,[],[refute_0_1235:[bind(X_15,$fot(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_6916,plain,
( top != join(meet(one,complement(converse(sk1))),converse(complement(converse(meet(one,complement(converse(sk1)))))))
| join(meet(one,complement(converse(sk1))),converse(complement(converse(meet(one,complement(converse(sk1))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(meet(one,complement(converse(sk1))),converse(complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6917,plain,
join(meet(one,complement(converse(sk1))),converse(complement(converse(meet(one,complement(converse(sk1))))))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(one,complement(converse(sk1))),converse(complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6915,refute_0_6916]) ).
cnf(refute_0_6918,plain,
( join(converse(sk1),join(meet(one,complement(converse(sk1))),converse(complement(converse(meet(one,complement(converse(sk1)))))))) != join(one,converse(complement(converse(meet(one,complement(converse(sk1)))))))
| join(meet(one,complement(converse(sk1))),converse(complement(converse(meet(one,complement(converse(sk1))))))) != top
| join(converse(sk1),top) = join(one,converse(complement(converse(meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(converse(sk1))),converse(complement(converse(meet(one,complement(converse(sk1)))))))),join(one,converse(complement(converse(meet(one,complement(converse(sk1)))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_6919,plain,
( join(converse(sk1),join(meet(one,complement(converse(sk1))),converse(complement(converse(meet(one,complement(converse(sk1)))))))) != join(one,converse(complement(converse(meet(one,complement(converse(sk1)))))))
| join(converse(sk1),top) = join(one,converse(complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(sk1))),converse(complement(converse(meet(one,complement(converse(sk1))))))),top) )],[refute_0_6917,refute_0_6918]) ).
cnf(refute_0_6920,plain,
join(converse(sk1),top) = join(one,converse(complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(one,complement(converse(sk1))),converse(complement(converse(meet(one,complement(converse(sk1)))))))),join(one,converse(complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6914,refute_0_6919]) ).
cnf(refute_0_6921,plain,
( join(converse(sk1),top) != join(one,converse(complement(converse(meet(one,complement(converse(sk1)))))))
| join(converse(sk1),top) != top
| top = join(one,converse(complement(converse(meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),top),join(one,converse(complement(converse(meet(one,complement(converse(sk1)))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_6922,plain,
( join(converse(sk1),top) != join(one,converse(complement(converse(meet(one,complement(converse(sk1)))))))
| top = join(one,converse(complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),top),top) )],[refute_0_5103,refute_0_6921]) ).
cnf(refute_0_6923,plain,
join(one,converse(complement(converse(meet(one,complement(converse(sk1))))))) = converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6924,plain,
( join(one,converse(complement(converse(meet(one,complement(converse(sk1))))))) != converse(join(one,complement(converse(meet(one,complement(converse(sk1)))))))
| top != join(one,converse(complement(converse(meet(one,complement(converse(sk1)))))))
| top = converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,converse(complement(converse(meet(one,complement(converse(sk1)))))))) ),[1],$fot(converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6925,plain,
( top != join(one,converse(complement(converse(meet(one,complement(converse(sk1)))))))
| top = converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(meet(one,complement(converse(sk1))))))),converse(join(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6923,refute_0_6924]) ).
cnf(refute_0_6926,plain,
( join(converse(sk1),top) != join(one,converse(complement(converse(meet(one,complement(converse(sk1)))))))
| top = converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(top,join(one,converse(complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6922,refute_0_6925]) ).
cnf(refute_0_6927,plain,
top = converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),top),join(one,converse(complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6920,refute_0_6926]) ).
cnf(refute_0_6928,plain,
( top != converse(join(one,complement(converse(meet(one,complement(converse(sk1)))))))
| converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6929,plain,
converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6927,refute_0_6928]) ).
cnf(refute_0_6930,plain,
( converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))) != top
| top != join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))))))))
| top = join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))))))))) ),[1,1,0,1,0,1],$fot(top)]]) ).
cnf(refute_0_6931,plain,
( top != join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))))))))
| top = join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))),top) )],[refute_0_6929,refute_0_6930]) ).
cnf(refute_0_6932,plain,
top = join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))),
inference(resolve,[$cnf( $equal(top,join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,converse(join(one,complement(converse(meet(one,complement(converse(sk1))))))))))))) )],[refute_0_6913,refute_0_6931]) ).
cnf(refute_0_6933,plain,
join(complement(converse(meet(one,complement(converse(sk1))))),one) = join(one,complement(converse(meet(one,complement(converse(sk1)))))),
inference(subst,[],[refute_0_1401:[bind(A,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6934,plain,
join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))) = join(complement(converse(meet(one,complement(converse(sk1))))),one),
inference(subst,[],[refute_0_3187:[bind(A,$fot(complement(converse(meet(one,complement(converse(sk1))))))),bind(X_32,$fot(one))]]) ).
cnf(refute_0_6935,plain,
( join(complement(converse(meet(one,complement(converse(sk1))))),one) != join(one,complement(converse(meet(one,complement(converse(sk1))))))
| join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))) != join(complement(converse(meet(one,complement(converse(sk1))))),one)
| join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))))),bind(Y,$fot(join(complement(converse(meet(one,complement(converse(sk1))))),one))),bind(Z,$fot(join(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6936,plain,
( join(complement(converse(meet(one,complement(converse(sk1))))),one) != join(one,complement(converse(meet(one,complement(converse(sk1))))))
| join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))),join(complement(converse(meet(one,complement(converse(sk1))))),one)) )],[refute_0_6934,refute_0_6935]) ).
cnf(refute_0_6937,plain,
join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(converse(sk1))))),one),join(one,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6933,refute_0_6936]) ).
cnf(refute_0_6938,plain,
join(zero,complement(converse(meet(one,complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6939,plain,
complement(join(sk1,top)) = complement(join(sk1,top)),
introduced(tautology,[refl,[$fot(complement(join(sk1,top)))]]) ).
cnf(refute_0_6940,plain,
( complement(join(sk1,top)) != complement(join(sk1,top))
| join(sk1,top) != top
| complement(join(sk1,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,top)),complement(join(sk1,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6941,plain,
( join(sk1,top) != top
| complement(join(sk1,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,top)),complement(join(sk1,top))) )],[refute_0_6939,refute_0_6940]) ).
cnf(refute_0_6942,plain,
complement(join(sk1,top)) = complement(top),
inference(resolve,[$cnf( $equal(join(sk1,top),top) )],[refute_0_790,refute_0_6941]) ).
cnf(refute_0_6943,plain,
( complement(join(sk1,top)) != complement(top)
| complement(top) != zero
| complement(join(sk1,top)) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(sk1,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_6944,plain,
( complement(top) != zero
| complement(join(sk1,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(sk1,top)),complement(top)) )],[refute_0_6942,refute_0_6943]) ).
cnf(refute_0_6945,plain,
complement(join(sk1,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_6944]) ).
cnf(refute_0_6946,plain,
converse(complement(join(sk1,top))) = converse(complement(join(sk1,top))),
introduced(tautology,[refl,[$fot(converse(complement(join(sk1,top))))]]) ).
cnf(refute_0_6947,plain,
( complement(join(sk1,top)) != zero
| converse(complement(join(sk1,top))) != converse(complement(join(sk1,top)))
| converse(complement(join(sk1,top))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(sk1,top))),converse(complement(join(sk1,top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6948,plain,
( complement(join(sk1,top)) != zero
| converse(complement(join(sk1,top))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(join(sk1,top))),converse(complement(join(sk1,top)))) )],[refute_0_6946,refute_0_6947]) ).
cnf(refute_0_6949,plain,
converse(complement(join(sk1,top))) = converse(zero),
inference(resolve,[$cnf( $equal(complement(join(sk1,top)),zero) )],[refute_0_6945,refute_0_6948]) ).
cnf(refute_0_6950,plain,
( converse(complement(join(sk1,top))) != converse(zero)
| converse(zero) != zero
| converse(complement(join(sk1,top))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(complement(join(sk1,top))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_6951,plain,
( converse(zero) != zero
| converse(complement(join(sk1,top))) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(join(sk1,top))),converse(zero)) )],[refute_0_6949,refute_0_6950]) ).
cnf(refute_0_6952,plain,
converse(complement(join(sk1,top))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1322,refute_0_6951]) ).
cnf(refute_0_6953,plain,
join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))) = join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))),
introduced(tautology,[refl,[$fot(join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6954,plain,
( converse(complement(join(sk1,top))) != zero
| join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))) != join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))
| join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))) = join(zero,complement(converse(meet(one,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))),join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6955,plain,
( converse(complement(join(sk1,top))) != zero
| join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))) = join(zero,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))),join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6953,refute_0_6954]) ).
cnf(refute_0_6956,plain,
join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))) = join(zero,complement(converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(converse(complement(join(sk1,top))),zero) )],[refute_0_6952,refute_0_6955]) ).
cnf(refute_0_6957,plain,
( join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))) != join(zero,complement(converse(meet(one,complement(converse(sk1))))))
| join(zero,complement(converse(meet(one,complement(converse(sk1)))))) != complement(converse(meet(one,complement(converse(sk1)))))
| join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))))),bind(Y,$fot(join(zero,complement(converse(meet(one,complement(converse(sk1)))))))),bind(Z,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6958,plain,
( join(zero,complement(converse(meet(one,complement(converse(sk1)))))) != complement(converse(meet(one,complement(converse(sk1)))))
| join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))),join(zero,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6956,refute_0_6957]) ).
cnf(refute_0_6959,plain,
join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(meet(one,complement(converse(sk1)))))),complement(converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6938,refute_0_6958]) ).
cnf(refute_0_6960,plain,
join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))) = join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))),
introduced(tautology,[refl,[$fot(join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6961,plain,
( join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))) != complement(converse(meet(one,complement(converse(sk1)))))
| join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))) != join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))))
| join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))),join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))))) ),[1,1],$fot(complement(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_6962,plain,
( join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))) != complement(converse(meet(one,complement(converse(sk1)))))
| join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))),join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6960,refute_0_6961]) ).
cnf(refute_0_6963,plain,
join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))),complement(converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6959,refute_0_6962]) ).
cnf(refute_0_6964,plain,
join(one,join(sk1,join(X_157,X_155))) = join(one,join(X_157,X_155)),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(join(X_157,X_155)))]]) ).
cnf(refute_0_6965,plain,
join(X_155,join(sk1,X_157)) = join(sk1,join(X_157,X_155)),
inference(subst,[],[refute_0_269:[bind(A,$fot(X_155)),bind(X_31,$fot(sk1)),bind(X_32,$fot(X_157))]]) ).
cnf(refute_0_6966,plain,
( join(X_155,join(sk1,X_157)) != join(sk1,join(X_157,X_155))
| join(sk1,join(X_157,X_155)) = join(X_155,join(sk1,X_157)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_155,join(sk1,X_157)))),bind(Y,$fot(join(sk1,join(X_157,X_155))))]]) ).
cnf(refute_0_6967,plain,
join(sk1,join(X_157,X_155)) = join(X_155,join(sk1,X_157)),
inference(resolve,[$cnf( $equal(join(X_155,join(sk1,X_157)),join(sk1,join(X_157,X_155))) )],[refute_0_6965,refute_0_6966]) ).
cnf(refute_0_6968,plain,
( join(one,join(sk1,join(X_157,X_155))) != join(one,join(X_157,X_155))
| join(sk1,join(X_157,X_155)) != join(X_155,join(sk1,X_157))
| join(one,join(X_155,join(sk1,X_157))) = join(one,join(X_157,X_155)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,join(X_157,X_155))),join(one,join(X_157,X_155))) ),[0,1],$fot(join(X_155,join(sk1,X_157)))]]) ).
cnf(refute_0_6969,plain,
( join(one,join(sk1,join(X_157,X_155))) != join(one,join(X_157,X_155))
| join(one,join(X_155,join(sk1,X_157))) = join(one,join(X_157,X_155)) ),
inference(resolve,[$cnf( $equal(join(sk1,join(X_157,X_155)),join(X_155,join(sk1,X_157))) )],[refute_0_6967,refute_0_6968]) ).
cnf(refute_0_6970,plain,
join(one,join(X_155,join(sk1,X_157))) = join(one,join(X_157,X_155)),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(X_157,X_155))),join(one,join(X_157,X_155))) )],[refute_0_6964,refute_0_6969]) ).
cnf(refute_0_6971,plain,
join(one,join(X_155,join(sk1,X_157))) = join(one,join(X_155,X_157)),
inference(subst,[],[refute_0_1581:[bind(C,$fot(X_157)),bind(X_35,$fot(X_155))]]) ).
cnf(refute_0_6972,plain,
( join(one,join(X_155,join(sk1,X_157))) != join(one,join(X_155,X_157))
| join(one,join(X_155,join(sk1,X_157))) != join(one,join(X_157,X_155))
| join(one,join(X_155,X_157)) = join(one,join(X_157,X_155)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_155,join(sk1,X_157))),join(one,join(X_157,X_155))) ),[0],$fot(join(one,join(X_155,X_157)))]]) ).
cnf(refute_0_6973,plain,
( join(one,join(X_155,join(sk1,X_157))) != join(one,join(X_157,X_155))
| join(one,join(X_155,X_157)) = join(one,join(X_157,X_155)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_155,join(sk1,X_157))),join(one,join(X_155,X_157))) )],[refute_0_6971,refute_0_6972]) ).
cnf(refute_0_6974,plain,
join(one,join(X_155,X_157)) = join(one,join(X_157,X_155)),
inference(resolve,[$cnf( $equal(join(one,join(X_155,join(sk1,X_157))),join(one,join(X_157,X_155))) )],[refute_0_6970,refute_0_6973]) ).
cnf(refute_0_6975,plain,
( join(one,join(X_155,X_157)) != join(one,join(X_157,X_155))
| join(one,join(X_157,X_155)) = join(one,join(X_155,X_157)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,join(X_155,X_157)))),bind(Y,$fot(join(one,join(X_157,X_155))))]]) ).
cnf(refute_0_6976,plain,
join(one,join(X_157,X_155)) = join(one,join(X_155,X_157)),
inference(resolve,[$cnf( $equal(join(one,join(X_155,X_157)),join(one,join(X_157,X_155))) )],[refute_0_6974,refute_0_6975]) ).
cnf(refute_0_6977,plain,
join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(complement(join(sk1,top))))) = join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))),
inference(subst,[],[refute_0_6976:[bind(X_155,$fot(converse(complement(join(sk1,top))))),bind(X_157,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6978,plain,
join(converse(X_12),join(X_156,one)) = join(X_156,join(one,converse(X_12))),
inference(subst,[],[refute_0_269:[bind(A,$fot(converse(X_12))),bind(X_31,$fot(X_156)),bind(X_32,$fot(one))]]) ).
cnf(refute_0_6979,plain,
( join(converse(X_12),join(X_156,one)) != join(X_156,join(one,converse(X_12)))
| join(one,converse(X_12)) != converse(join(one,X_12))
| join(converse(X_12),join(X_156,one)) = join(X_156,converse(join(one,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_12),join(X_156,one)),join(X_156,join(one,converse(X_12)))) ),[1,1],$fot(converse(join(one,X_12)))]]) ).
cnf(refute_0_6980,plain,
( join(converse(X_12),join(X_156,one)) != join(X_156,join(one,converse(X_12)))
| join(converse(X_12),join(X_156,one)) = join(X_156,converse(join(one,X_12))) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_12)),converse(join(one,X_12))) )],[refute_0_1405,refute_0_6979]) ).
cnf(refute_0_6981,plain,
join(converse(X_12),join(X_156,one)) = join(X_156,converse(join(one,X_12))),
inference(resolve,[$cnf( $equal(join(converse(X_12),join(X_156,one)),join(X_156,join(one,converse(X_12)))) )],[refute_0_6978,refute_0_6980]) ).
cnf(refute_0_6982,plain,
join(converse(X_12),join(X_156,one)) = join(one,join(X_156,converse(X_12))),
inference(subst,[],[refute_0_4586:[bind(X_155,$fot(one)),bind(X_156,$fot(converse(X_12))),bind(X_157,$fot(X_156))]]) ).
cnf(refute_0_6983,plain,
( join(converse(X_12),join(X_156,one)) != join(X_156,converse(join(one,X_12)))
| join(converse(X_12),join(X_156,one)) != join(one,join(X_156,converse(X_12)))
| join(one,join(X_156,converse(X_12))) = join(X_156,converse(join(one,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_12),join(X_156,one)),join(X_156,converse(join(one,X_12)))) ),[0],$fot(join(one,join(X_156,converse(X_12))))]]) ).
cnf(refute_0_6984,plain,
( join(converse(X_12),join(X_156,one)) != join(X_156,converse(join(one,X_12)))
| join(one,join(X_156,converse(X_12))) = join(X_156,converse(join(one,X_12))) ),
inference(resolve,[$cnf( $equal(join(converse(X_12),join(X_156,one)),join(one,join(X_156,converse(X_12)))) )],[refute_0_6982,refute_0_6983]) ).
cnf(refute_0_6985,plain,
join(one,join(X_156,converse(X_12))) = join(X_156,converse(join(one,X_12))),
inference(resolve,[$cnf( $equal(join(converse(X_12),join(X_156,one)),join(X_156,converse(join(one,X_12)))) )],[refute_0_6981,refute_0_6984]) ).
cnf(refute_0_6986,plain,
( join(one,join(X_156,converse(X_12))) != join(X_156,converse(join(one,X_12)))
| join(X_156,converse(join(one,X_12))) = join(one,join(X_156,converse(X_12))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,join(X_156,converse(X_12))))),bind(Y,$fot(join(X_156,converse(join(one,X_12)))))]]) ).
cnf(refute_0_6987,plain,
join(X_156,converse(join(one,X_12))) = join(one,join(X_156,converse(X_12))),
inference(resolve,[$cnf( $equal(join(one,join(X_156,converse(X_12))),join(X_156,converse(join(one,X_12)))) )],[refute_0_6985,refute_0_6986]) ).
cnf(refute_0_6988,plain,
join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))) = join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(complement(join(sk1,top))))),
inference(subst,[],[refute_0_6987:[bind(X_12,$fot(complement(join(sk1,top)))),bind(X_156,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6989,plain,
( join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))) != join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(complement(join(sk1,top)))))
| join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(complement(join(sk1,top))))) != join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))))
| join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))) = join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))),bind(Y,$fot(join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(complement(join(sk1,top))))))),bind(Z,$fot(join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_6990,plain,
( join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(complement(join(sk1,top))))) != join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))))
| join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))) = join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))),join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(complement(join(sk1,top)))))) )],[refute_0_6988,refute_0_6989]) ).
cnf(refute_0_6991,plain,
join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))) = join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(complement(join(sk1,top))))),join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6977,refute_0_6990]) ).
cnf(refute_0_6992,plain,
( join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))) != join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))))
| join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))) != join(one,complement(converse(meet(one,complement(converse(sk1))))))
| join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))),bind(Y,$fot(join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))))),bind(Z,$fot(join(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_6993,plain,
( join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))) != join(one,complement(converse(meet(one,complement(converse(sk1))))))
| join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))),join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6991,refute_0_6992]) ).
cnf(refute_0_6994,plain,
join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(join(sk1,top))),complement(converse(meet(one,complement(converse(sk1))))))),join(one,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6963,refute_0_6993]) ).
cnf(refute_0_6995,plain,
join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) = join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))))]]) ).
cnf(refute_0_6996,plain,
( join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))) != join(one,complement(converse(meet(one,complement(converse(sk1))))))
| join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) != join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))
| join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) = join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))),join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))) ),[1,1],$fot(join(one,complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_6997,plain,
( join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))) != join(one,complement(converse(meet(one,complement(converse(sk1))))))
| join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) = join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))),join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))) )],[refute_0_6995,refute_0_6996]) ).
cnf(refute_0_6998,plain,
join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) = join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))),join(one,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6994,refute_0_6997]) ).
cnf(refute_0_6999,plain,
( join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) != join(one,join(one,complement(converse(meet(one,complement(converse(sk1)))))))
| join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))) != join(one,complement(converse(meet(one,complement(converse(sk1))))))
| join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))))),bind(Y,$fot(join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))))),bind(Z,$fot(join(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_7000,plain,
( join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))) != join(one,complement(converse(meet(one,complement(converse(sk1))))))
| join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))),join(one,join(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6998,refute_0_6999]) ).
cnf(refute_0_7001,plain,
join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(one,join(one,complement(converse(meet(one,complement(converse(sk1))))))),join(one,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_6937,refute_0_7000]) ).
cnf(refute_0_7002,plain,
join(one,join(converse(join(one,complement(join(sk1,top)))),complement(converse(meet(one,complement(converse(sk1))))))) = join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))),
inference(subst,[],[refute_0_6976:[bind(X_155,$fot(complement(converse(meet(one,complement(converse(sk1))))))),bind(X_157,$fot(converse(join(one,complement(join(sk1,top))))))]]) ).
cnf(refute_0_7003,plain,
join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1))))))) = join(one,join(converse(join(one,complement(join(sk1,top)))),complement(converse(meet(one,complement(converse(sk1))))))),
inference(subst,[],[refute_0_4153:[bind(X_155,$fot(one)),bind(X_156,$fot(converse(join(one,complement(join(sk1,top)))))),bind(X_157,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_7004,plain,
( join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1))))))) != join(one,join(converse(join(one,complement(join(sk1,top)))),complement(converse(meet(one,complement(converse(sk1)))))))
| join(one,join(converse(join(one,complement(join(sk1,top)))),complement(converse(meet(one,complement(converse(sk1))))))) != join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))
| join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1))))))) = join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1))))))))),bind(Y,$fot(join(one,join(converse(join(one,complement(join(sk1,top)))),complement(converse(meet(one,complement(converse(sk1))))))))),bind(Z,$fot(join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))))]]) ).
cnf(refute_0_7005,plain,
( join(one,join(converse(join(one,complement(join(sk1,top)))),complement(converse(meet(one,complement(converse(sk1))))))) != join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))
| join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1))))))) = join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1))))))),join(one,join(converse(join(one,complement(join(sk1,top)))),complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_7003,refute_0_7004]) ).
cnf(refute_0_7006,plain,
join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1))))))) = join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))),
inference(resolve,[$cnf( $equal(join(one,join(converse(join(one,complement(join(sk1,top)))),complement(converse(meet(one,complement(converse(sk1))))))),join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))) )],[refute_0_7002,refute_0_7005]) ).
cnf(refute_0_7007,plain,
join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))) = join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(one,complement(converse(meet(one,complement(converse(sk1)))))))),bind(B,$fot(converse(join(one,complement(join(sk1,top))))))]]) ).
cnf(refute_0_7008,plain,
( join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1))))))) != join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))
| join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))) != join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1)))))))
| join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))) = join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))))),bind(Y,$fot(join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1))))))))),bind(Z,$fot(join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))))]]) ).
cnf(refute_0_7009,plain,
( join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1))))))) != join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))
| join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))) = join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))),join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_7007,refute_0_7008]) ).
cnf(refute_0_7010,plain,
join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))) = join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(sk1,top)))),join(one,complement(converse(meet(one,complement(converse(sk1))))))),join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))) )],[refute_0_7006,refute_0_7009]) ).
cnf(refute_0_7011,plain,
( join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))) != join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))
| join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) != join(one,complement(converse(meet(one,complement(converse(sk1))))))
| join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))))),bind(Y,$fot(join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))))),bind(Z,$fot(join(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_7012,plain,
( join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))) != join(one,complement(converse(meet(one,complement(converse(sk1))))))
| join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))),join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top))))))) )],[refute_0_7010,refute_0_7011]) ).
cnf(refute_0_7013,plain,
join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))) = join(one,complement(converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(meet(one,complement(converse(sk1))))),converse(join(one,complement(join(sk1,top)))))),join(one,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_7001,refute_0_7012]) ).
cnf(refute_0_7014,plain,
( join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))) != join(one,complement(converse(meet(one,complement(converse(sk1))))))
| top != join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top)))))
| top = join(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top)))))) ),[1],$fot(join(one,complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_7015,plain,
( top != join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top)))))
| top = join(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top))))),join(one,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_7013,refute_0_7014]) ).
cnf(refute_0_7016,plain,
top = join(one,complement(converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(top,join(join(one,complement(converse(meet(one,complement(converse(sk1)))))),converse(join(one,complement(join(sk1,top)))))) )],[refute_0_6932,refute_0_7015]) ).
cnf(refute_0_7017,plain,
( top != join(one,complement(converse(meet(one,complement(converse(sk1))))))
| join(one,complement(converse(meet(one,complement(converse(sk1)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_7018,plain,
join(one,complement(converse(meet(one,complement(converse(sk1)))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_7016,refute_0_7017]) ).
cnf(refute_0_7019,plain,
( complement(one) != meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(join(one,complement(converse(meet(one,complement(converse(sk1)))))))))
| join(one,complement(converse(meet(one,complement(converse(sk1)))))) != top
| complement(one) = meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(join(one,complement(converse(meet(one,complement(converse(sk1)))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_7020,plain,
( complement(one) != meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(join(one,complement(converse(meet(one,complement(converse(sk1)))))))))
| complement(one) = meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(meet(one,complement(converse(sk1)))))),top) )],[refute_0_7018,refute_0_7019]) ).
cnf(refute_0_7021,plain,
complement(one) = meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(join(one,complement(converse(meet(one,complement(converse(sk1)))))))))) )],[refute_0_6904,refute_0_7020]) ).
cnf(refute_0_7022,plain,
meet(top,converse(meet(one,complement(converse(sk1))))) = converse(meet(one,complement(converse(sk1)))),
inference(subst,[],[refute_0_3072:[bind(X_105,$fot(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_7023,plain,
complement(meet(top,converse(meet(one,complement(converse(sk1)))))) = complement(meet(top,converse(meet(one,complement(converse(sk1)))))),
introduced(tautology,[refl,[$fot(complement(meet(top,converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_7024,plain,
( complement(meet(top,converse(meet(one,complement(converse(sk1)))))) != complement(meet(top,converse(meet(one,complement(converse(sk1))))))
| meet(top,converse(meet(one,complement(converse(sk1))))) != converse(meet(one,complement(converse(sk1))))
| complement(meet(top,converse(meet(one,complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,converse(meet(one,complement(converse(sk1)))))),complement(meet(top,converse(meet(one,complement(converse(sk1))))))) ),[1,0],$fot(converse(meet(one,complement(converse(sk1)))))]]) ).
cnf(refute_0_7025,plain,
( meet(top,converse(meet(one,complement(converse(sk1))))) != converse(meet(one,complement(converse(sk1))))
| complement(meet(top,converse(meet(one,complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,converse(meet(one,complement(converse(sk1)))))),complement(meet(top,converse(meet(one,complement(converse(sk1))))))) )],[refute_0_7023,refute_0_7024]) ).
cnf(refute_0_7026,plain,
complement(meet(top,converse(meet(one,complement(converse(sk1)))))) = complement(converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(top,converse(meet(one,complement(converse(sk1))))),converse(meet(one,complement(converse(sk1))))) )],[refute_0_7022,refute_0_7025]) ).
cnf(refute_0_7027,plain,
join(complement(top),complement(converse(meet(one,complement(converse(sk1)))))) = complement(meet(top,converse(meet(one,complement(converse(sk1)))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(top)),bind(B,$fot(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_7028,plain,
join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)) = join(complement(top),complement(converse(meet(one,complement(converse(sk1)))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(converse(meet(one,complement(converse(sk1))))))),bind(B,$fot(complement(top)))]]) ).
cnf(refute_0_7029,plain,
( join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)) != join(complement(top),complement(converse(meet(one,complement(converse(sk1))))))
| join(complement(top),complement(converse(meet(one,complement(converse(sk1)))))) != complement(meet(top,converse(meet(one,complement(converse(sk1))))))
| join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)) = complement(meet(top,converse(meet(one,complement(converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)))),bind(Y,$fot(join(complement(top),complement(converse(meet(one,complement(converse(sk1)))))))),bind(Z,$fot(complement(meet(top,converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_7030,plain,
( join(complement(top),complement(converse(meet(one,complement(converse(sk1)))))) != complement(meet(top,converse(meet(one,complement(converse(sk1))))))
| join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)) = complement(meet(top,converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)),join(complement(top),complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_7028,refute_0_7029]) ).
cnf(refute_0_7031,plain,
join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)) = complement(meet(top,converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(meet(one,complement(converse(sk1)))))),complement(meet(top,converse(meet(one,complement(converse(sk1))))))) )],[refute_0_7027,refute_0_7030]) ).
cnf(refute_0_7032,plain,
( complement(meet(top,converse(meet(one,complement(converse(sk1)))))) != complement(converse(meet(one,complement(converse(sk1)))))
| join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)) != complement(meet(top,converse(meet(one,complement(converse(sk1))))))
| join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)))),bind(Y,$fot(complement(meet(top,converse(meet(one,complement(converse(sk1)))))))),bind(Z,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_7033,plain,
( complement(meet(top,converse(meet(one,complement(converse(sk1)))))) != complement(converse(meet(one,complement(converse(sk1)))))
| join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)),complement(meet(top,converse(meet(one,complement(converse(sk1))))))) )],[refute_0_7031,refute_0_7032]) ).
cnf(refute_0_7034,plain,
join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)) = complement(converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(meet(top,converse(meet(one,complement(converse(sk1)))))),complement(converse(meet(one,complement(converse(sk1)))))) )],[refute_0_7026,refute_0_7033]) ).
cnf(refute_0_7035,plain,
meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))) = meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))))]]) ).
cnf(refute_0_7036,plain,
( join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)) != complement(converse(meet(one,complement(converse(sk1)))))
| meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))) != meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)))
| meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))) = meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))),meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)))) ),[1,1],$fot(complement(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_7037,plain,
( join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)) != complement(converse(meet(one,complement(converse(sk1)))))
| meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))) = meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))),meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)))) )],[refute_0_7035,refute_0_7036]) ).
cnf(refute_0_7038,plain,
meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))) = meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)),complement(converse(meet(one,complement(converse(sk1)))))) )],[refute_0_7034,refute_0_7037]) ).
cnf(refute_0_7039,plain,
( complement(one) != meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)))
| meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))) != meet(complement(one),complement(converse(meet(one,complement(converse(sk1))))))
| complement(one) = meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(converse(meet(one,complement(converse(sk1))))))) ),[0],$fot(meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))))]]) ).
cnf(refute_0_7040,plain,
( complement(one) != meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)))
| complement(one) = meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top))),meet(complement(one),complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_7038,refute_0_7039]) ).
cnf(refute_0_7041,plain,
complement(one) = meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(meet(one,complement(converse(sk1))))),complement(top)))) )],[refute_0_7021,refute_0_7040]) ).
cnf(refute_0_7042,plain,
( complement(one) != meet(complement(one),complement(converse(meet(one,complement(converse(sk1))))))
| meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_7043,plain,
meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_7041,refute_0_7042]) ).
cnf(refute_0_7044,plain,
( complement(converse(meet(one,complement(converse(sk1))))) != join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))))
| meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))) != complement(one)
| complement(converse(meet(one,complement(converse(sk1))))) = join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(one,complement(converse(sk1))))),join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_7045,plain,
( complement(converse(meet(one,complement(converse(sk1))))) != join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))))
| complement(converse(meet(one,complement(converse(sk1))))) = join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))),complement(one)) )],[refute_0_7043,refute_0_7044]) ).
cnf(refute_0_7046,plain,
complement(converse(meet(one,complement(converse(sk1))))) = join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(converse(sk1))))),join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),meet(complement(one),complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_6903,refute_0_7045]) ).
cnf(refute_0_7047,plain,
meet(complement(converse(meet(one,complement(converse(sk1))))),one) = meet(one,complement(converse(meet(one,complement(converse(sk1)))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_7048,plain,
join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)) = join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)))]]) ).
cnf(refute_0_7049,plain,
( join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)) != join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one))
| meet(complement(converse(meet(one,complement(converse(sk1))))),one) != meet(one,complement(converse(meet(one,complement(converse(sk1))))))
| join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)) = join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)),join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one))) ),[1,1],$fot(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_7050,plain,
( meet(complement(converse(meet(one,complement(converse(sk1))))),one) != meet(one,complement(converse(meet(one,complement(converse(sk1))))))
| join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)) = join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)),join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one))) )],[refute_0_7048,refute_0_7049]) ).
cnf(refute_0_7051,plain,
join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)) = join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(converse(sk1))))),one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_7047,refute_0_7050]) ).
cnf(refute_0_7052,plain,
join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one)) = join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(meet(complement(converse(meet(one,complement(converse(sk1))))),one))),bind(B,$fot(complement(one)))]]) ).
cnf(refute_0_7053,plain,
( join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)) != join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one)) != join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one))
| join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one)) = join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)))),bind(Z,$fot(join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_7054,plain,
( join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)) != join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one)) = join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one)),join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one))) )],[refute_0_7052,refute_0_7053]) ).
cnf(refute_0_7055,plain,
join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one)) = join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(meet(one,complement(converse(sk1))))),one)),join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_7051,refute_0_7054]) ).
cnf(refute_0_7056,plain,
( complement(converse(meet(one,complement(converse(sk1))))) != join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one))
| join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one)) != join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| complement(converse(meet(one,complement(converse(sk1))))) = join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(meet(one,complement(converse(sk1))))),join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) ),[0],$fot(join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one)))]]) ).
cnf(refute_0_7057,plain,
( complement(converse(meet(one,complement(converse(sk1))))) != join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one))
| complement(converse(meet(one,complement(converse(sk1))))) = join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one)),join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_7055,refute_0_7056]) ).
cnf(refute_0_7058,plain,
complement(converse(meet(one,complement(converse(sk1))))) = join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(converse(sk1))))),join(meet(complement(converse(meet(one,complement(converse(sk1))))),one),complement(one))) )],[refute_0_7046,refute_0_7057]) ).
cnf(refute_0_7059,plain,
( complement(converse(meet(one,complement(converse(sk1))))) != join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(meet(one,complement(converse(sk1))))))),bind(Y,$fot(join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))))]]) ).
cnf(refute_0_7060,plain,
join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) = complement(converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(converse(sk1))))),join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_7058,refute_0_7059]) ).
cnf(refute_0_7061,plain,
join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)) = join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),
inference(subst,[],[refute_0_2226:[bind(A,$fot(meet(one,complement(converse(meet(one,complement(converse(sk1))))))))]]) ).
cnf(refute_0_7062,plain,
( join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != complement(converse(meet(one,complement(converse(sk1)))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)) != join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)))),bind(Y,$fot(join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))))),bind(Z,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_7063,plain,
( join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) != complement(converse(meet(one,complement(converse(sk1)))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)),join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1)))))))) )],[refute_0_7061,refute_0_7062]) ).
cnf(refute_0_7064,plain,
join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)) = complement(converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(meet(one,complement(converse(sk1))))))),complement(converse(meet(one,complement(converse(sk1)))))) )],[refute_0_7060,refute_0_7063]) ).
cnf(refute_0_7065,plain,
meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))) = meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))))]]) ).
cnf(refute_0_7066,plain,
( join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)) != complement(converse(meet(one,complement(converse(sk1)))))
| meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))) != meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)))
| meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))) = meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))),meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)))) ),[1,1],$fot(complement(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_7067,plain,
( join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)) != complement(converse(meet(one,complement(converse(sk1)))))
| meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))) = meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))),meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)))) )],[refute_0_7065,refute_0_7066]) ).
cnf(refute_0_7068,plain,
meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))) = meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)),complement(converse(meet(one,complement(converse(sk1)))))) )],[refute_0_7064,refute_0_7067]) ).
cnf(refute_0_7069,plain,
( meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))) != complement(converse(meet(one,complement(converse(sk1)))))
| meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))) != meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1))))))
| meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))))),bind(Y,$fot(meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))))),bind(Z,$fot(complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_7070,plain,
( meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))) != complement(converse(meet(one,complement(converse(sk1)))))
| meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))),meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_7068,refute_0_7069]) ).
cnf(refute_0_7071,plain,
meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))) = complement(converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))),complement(converse(meet(one,complement(converse(sk1)))))) )],[refute_0_6902,refute_0_7070]) ).
cnf(refute_0_7072,plain,
( complement(meet(one,converse(complement(converse(sk1))))) != meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)))
| meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))) != complement(converse(meet(one,complement(converse(sk1)))))
| complement(meet(one,converse(complement(converse(sk1))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))) ),[0],$fot(meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))))]]) ).
cnf(refute_0_7073,plain,
( complement(meet(one,converse(complement(converse(sk1))))) != meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)))
| complement(meet(one,converse(complement(converse(sk1))))) = complement(converse(meet(one,complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one))),complement(converse(meet(one,complement(converse(sk1)))))) )],[refute_0_7071,refute_0_7072]) ).
cnf(refute_0_7074,plain,
complement(meet(one,converse(complement(converse(sk1))))) = complement(converse(meet(one,complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(converse(sk1))))),meet(complement(meet(one,converse(complement(converse(sk1))))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(one)))) )],[refute_0_6794,refute_0_7073]) ).
cnf(refute_0_7075,plain,
meet(one,complement(meet(one,converse(complement(converse(sk1)))))) = meet(one,complement(meet(one,converse(complement(converse(sk1)))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,converse(complement(converse(sk1)))))))]]) ).
cnf(refute_0_7076,plain,
( complement(meet(one,converse(complement(converse(sk1))))) != complement(converse(meet(one,complement(converse(sk1)))))
| meet(one,complement(meet(one,converse(complement(converse(sk1)))))) != meet(one,complement(meet(one,converse(complement(converse(sk1))))))
| meet(one,complement(meet(one,converse(complement(converse(sk1)))))) = meet(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(meet(one,converse(complement(converse(sk1))))))) ),[1,1],$fot(complement(converse(meet(one,complement(converse(sk1))))))]]) ).
cnf(refute_0_7077,plain,
( complement(meet(one,converse(complement(converse(sk1))))) != complement(converse(meet(one,complement(converse(sk1)))))
| meet(one,complement(meet(one,converse(complement(converse(sk1)))))) = meet(one,complement(converse(meet(one,complement(converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(meet(one,converse(complement(converse(sk1))))))) )],[refute_0_7075,refute_0_7076]) ).
cnf(refute_0_7078,plain,
meet(one,complement(meet(one,converse(complement(converse(sk1)))))) = meet(one,complement(converse(meet(one,complement(converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(converse(sk1))))),complement(converse(meet(one,complement(converse(sk1)))))) )],[refute_0_7074,refute_0_7077]) ).
cnf(refute_0_7079,plain,
( meet(one,complement(meet(one,converse(complement(converse(sk1)))))) != complement(converse(complement(converse(sk1))))
| meet(one,complement(meet(one,converse(complement(converse(sk1)))))) != meet(one,complement(converse(meet(one,complement(converse(sk1))))))
| meet(one,complement(converse(meet(one,complement(converse(sk1)))))) = complement(converse(complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(converse(sk1)))))),complement(converse(complement(converse(sk1))))) ),[0],$fot(meet(one,complement(converse(meet(one,complement(converse(sk1)))))))]]) ).
cnf(refute_0_7080,plain,
( meet(one,complement(meet(one,converse(complement(converse(sk1)))))) != complement(converse(complement(converse(sk1))))
| meet(one,complement(converse(meet(one,complement(converse(sk1)))))) = complement(converse(complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(converse(sk1)))))),meet(one,complement(converse(meet(one,complement(converse(sk1))))))) )],[refute_0_7078,refute_0_7079]) ).
cnf(refute_0_7081,plain,
meet(one,complement(converse(meet(one,complement(converse(sk1)))))) = complement(converse(complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(converse(sk1)))))),complement(converse(complement(converse(sk1))))) )],[refute_0_6721,refute_0_7080]) ).
cnf(refute_0_7082,plain,
join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A) = join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A),
introduced(tautology,[refl,[$fot(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A))]]) ).
cnf(refute_0_7083,plain,
( join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A) != join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)
| meet(one,complement(converse(meet(one,complement(converse(sk1)))))) != complement(converse(complement(converse(sk1))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A) = join(complement(converse(complement(converse(sk1)))),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) ),[1,0],$fot(complement(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_7084,plain,
( meet(one,complement(converse(meet(one,complement(converse(sk1)))))) != complement(converse(complement(converse(sk1))))
| join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A) = join(complement(converse(complement(converse(sk1)))),A) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) )],[refute_0_7082,refute_0_7083]) ).
cnf(refute_0_7085,plain,
join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A) = join(complement(converse(complement(converse(sk1)))),A),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),complement(converse(complement(converse(sk1))))) )],[refute_0_7081,refute_0_7084]) ).
cnf(refute_0_7086,plain,
join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) = join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)),
introduced(tautology,[refl,[$fot(join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)))]]) ).
cnf(refute_0_7087,plain,
( join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A) != join(complement(converse(complement(converse(sk1)))),A)
| join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) != join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A))
| join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) = join(meet(sk1,converse(complement(converse(sk1)))),join(complement(converse(complement(converse(sk1)))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)),join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A))) ),[1,1],$fot(join(complement(converse(complement(converse(sk1)))),A))]]) ).
cnf(refute_0_7088,plain,
( join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A) != join(complement(converse(complement(converse(sk1)))),A)
| join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) = join(meet(sk1,converse(complement(converse(sk1)))),join(complement(converse(complement(converse(sk1)))),A)) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)),join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A))) )],[refute_0_7086,refute_0_7087]) ).
cnf(refute_0_7089,plain,
join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) = join(meet(sk1,converse(complement(converse(sk1)))),join(complement(converse(complement(converse(sk1)))),A)),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A),join(complement(converse(complement(converse(sk1)))),A)) )],[refute_0_7085,refute_0_7088]) ).
cnf(refute_0_7090,plain,
( join(meet(sk1,converse(complement(converse(sk1)))),join(complement(converse(complement(converse(sk1)))),A)) != join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A))
| join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) != join(meet(sk1,converse(complement(converse(sk1)))),join(complement(converse(complement(converse(sk1)))),A))
| join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) = join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)))),bind(Y,$fot(join(meet(sk1,converse(complement(converse(sk1)))),join(complement(converse(complement(converse(sk1)))),A)))),bind(Z,$fot(join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A))))]]) ).
cnf(refute_0_7091,plain,
( join(meet(sk1,converse(complement(converse(sk1)))),join(complement(converse(complement(converse(sk1)))),A)) != join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A))
| join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) = join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)),join(meet(sk1,converse(complement(converse(sk1)))),join(complement(converse(complement(converse(sk1)))),A))) )],[refute_0_7089,refute_0_7090]) ).
cnf(refute_0_7092,plain,
join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) = join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)),
inference(resolve,[$cnf( $equal(join(meet(sk1,converse(complement(converse(sk1)))),join(complement(converse(complement(converse(sk1)))),A)),join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A))) )],[refute_0_6559,refute_0_7091]) ).
cnf(refute_0_7093,plain,
( join(A,sk1) != join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A))
| join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)) != join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A))
| join(A,sk1) = join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,sk1),join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A))) ),[0],$fot(join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)))]]) ).
cnf(refute_0_7094,plain,
( join(A,sk1) != join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A))
| join(A,sk1) = join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A)),join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A))) )],[refute_0_7092,refute_0_7093]) ).
cnf(refute_0_7095,plain,
join(A,sk1) = join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)),
inference(resolve,[$cnf( $equal(join(A,sk1),join(meet(sk1,converse(complement(converse(sk1)))),join(meet(one,complement(converse(meet(one,complement(converse(sk1)))))),A))) )],[refute_0_6558,refute_0_7094]) ).
cnf(refute_0_7096,plain,
meet(sk1,converse(complement(converse(sk1)))) = meet(sk1,converse(complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(meet(sk1,converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_7097,plain,
( converse(complement(converse(sk1))) != complement(sk1)
| meet(sk1,converse(complement(converse(sk1)))) != meet(sk1,converse(complement(converse(sk1))))
| meet(sk1,converse(complement(converse(sk1)))) = meet(sk1,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,converse(complement(converse(sk1)))),meet(sk1,converse(complement(converse(sk1))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_7098,plain,
( converse(complement(converse(sk1))) != complement(sk1)
| meet(sk1,converse(complement(converse(sk1)))) = meet(sk1,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(sk1,converse(complement(converse(sk1)))),meet(sk1,converse(complement(converse(sk1))))) )],[refute_0_7096,refute_0_7097]) ).
cnf(refute_0_7099,plain,
meet(sk1,converse(complement(converse(sk1)))) = meet(sk1,complement(sk1)),
inference(resolve,[$cnf( $equal(converse(complement(converse(sk1))),complement(sk1)) )],[refute_0_6353,refute_0_7098]) ).
cnf(refute_0_7100,plain,
( meet(sk1,complement(sk1)) != zero
| meet(sk1,converse(complement(converse(sk1)))) != meet(sk1,complement(sk1))
| meet(sk1,converse(complement(converse(sk1)))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(sk1,converse(complement(converse(sk1)))))),bind(Y,$fot(meet(sk1,complement(sk1)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_7101,plain,
( meet(sk1,complement(sk1)) != zero
| meet(sk1,converse(complement(converse(sk1)))) = zero ),
inference(resolve,[$cnf( $equal(meet(sk1,converse(complement(converse(sk1)))),meet(sk1,complement(sk1))) )],[refute_0_7099,refute_0_7100]) ).
cnf(refute_0_7102,plain,
meet(sk1,converse(complement(converse(sk1)))) = zero,
inference(resolve,[$cnf( $equal(meet(sk1,complement(sk1)),zero) )],[refute_0_3565,refute_0_7101]) ).
cnf(refute_0_7103,plain,
join(meet(sk1,converse(complement(converse(sk1)))),A) = join(meet(sk1,converse(complement(converse(sk1)))),A),
introduced(tautology,[refl,[$fot(join(meet(sk1,converse(complement(converse(sk1)))),A))]]) ).
cnf(refute_0_7104,plain,
( join(meet(sk1,converse(complement(converse(sk1)))),A) != join(meet(sk1,converse(complement(converse(sk1)))),A)
| meet(sk1,converse(complement(converse(sk1)))) != zero
| join(meet(sk1,converse(complement(converse(sk1)))),A) = join(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(sk1,converse(complement(converse(sk1)))),A),join(meet(sk1,converse(complement(converse(sk1)))),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7105,plain,
( meet(sk1,converse(complement(converse(sk1)))) != zero
| join(meet(sk1,converse(complement(converse(sk1)))),A) = join(zero,A) ),
inference(resolve,[$cnf( $equal(join(meet(sk1,converse(complement(converse(sk1)))),A),join(meet(sk1,converse(complement(converse(sk1)))),A)) )],[refute_0_7103,refute_0_7104]) ).
cnf(refute_0_7106,plain,
join(meet(sk1,converse(complement(converse(sk1)))),A) = join(zero,A),
inference(resolve,[$cnf( $equal(meet(sk1,converse(complement(converse(sk1)))),zero) )],[refute_0_7102,refute_0_7105]) ).
cnf(refute_0_7107,plain,
( join(meet(sk1,converse(complement(converse(sk1)))),A) != join(zero,A)
| join(zero,A) != A
| join(meet(sk1,converse(complement(converse(sk1)))),A) = A ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(sk1,converse(complement(converse(sk1)))),A))),bind(Y,$fot(join(zero,A))),bind(Z,$fot(A))]]) ).
cnf(refute_0_7108,plain,
( join(zero,A) != A
| join(meet(sk1,converse(complement(converse(sk1)))),A) = A ),
inference(resolve,[$cnf( $equal(join(meet(sk1,converse(complement(converse(sk1)))),A),join(zero,A)) )],[refute_0_7106,refute_0_7107]) ).
cnf(refute_0_7109,plain,
join(meet(sk1,converse(complement(converse(sk1)))),A) = A,
inference(resolve,[$cnf( $equal(join(zero,A),A) )],[refute_0_1385,refute_0_7108]) ).
cnf(refute_0_7110,plain,
join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)) = join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)),
introduced(tautology,[refl,[$fot(join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)))]]) ).
cnf(refute_0_7111,plain,
( join(meet(sk1,converse(complement(converse(sk1)))),A) != A
| join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)) != join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A))
| join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)) = join(sk1,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)),join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_7112,plain,
( join(meet(sk1,converse(complement(converse(sk1)))),A) != A
| join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)) = join(sk1,A) ),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)),join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A))) )],[refute_0_7110,refute_0_7111]) ).
cnf(refute_0_7113,plain,
join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)) = join(sk1,A),
inference(resolve,[$cnf( $equal(join(meet(sk1,converse(complement(converse(sk1)))),A),A) )],[refute_0_7109,refute_0_7112]) ).
cnf(refute_0_7114,plain,
complement(converse(complement(converse(sk1)))) = complement(converse(complement(converse(sk1)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(sk1)))))]]) ).
cnf(refute_0_7115,plain,
( complement(converse(complement(converse(sk1)))) != complement(converse(complement(converse(sk1))))
| converse(complement(converse(sk1))) != complement(sk1)
| complement(converse(complement(converse(sk1)))) = complement(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(sk1)))),complement(converse(complement(converse(sk1))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_7116,plain,
( converse(complement(converse(sk1))) != complement(sk1)
| complement(converse(complement(converse(sk1)))) = complement(complement(sk1)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(sk1)))),complement(converse(complement(converse(sk1))))) )],[refute_0_7114,refute_0_7115]) ).
cnf(refute_0_7117,plain,
complement(converse(complement(converse(sk1)))) = complement(complement(sk1)),
inference(resolve,[$cnf( $equal(converse(complement(converse(sk1))),complement(sk1)) )],[refute_0_6353,refute_0_7116]) ).
cnf(refute_0_7118,plain,
( complement(complement(sk1)) != sk1
| complement(converse(complement(converse(sk1)))) != complement(complement(sk1))
| complement(converse(complement(converse(sk1)))) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(complement(converse(sk1)))))),bind(Y,$fot(complement(complement(sk1)))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_7119,plain,
( complement(complement(sk1)) != sk1
| complement(converse(complement(converse(sk1)))) = sk1 ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(sk1)))),complement(complement(sk1))) )],[refute_0_7117,refute_0_7118]) ).
cnf(refute_0_7120,plain,
complement(converse(complement(converse(sk1)))) = sk1,
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_2273,refute_0_7119]) ).
cnf(refute_0_7121,plain,
join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) = join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)))]]) ).
cnf(refute_0_7122,plain,
( complement(converse(complement(converse(sk1)))) != sk1
| join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) != join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A))
| join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) = join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)),join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_7123,plain,
( complement(converse(complement(converse(sk1)))) != sk1
| join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) = join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)),join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A))) )],[refute_0_7121,refute_0_7122]) ).
cnf(refute_0_7124,plain,
join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) = join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(sk1)))),sk1) )],[refute_0_7120,refute_0_7123]) ).
cnf(refute_0_7125,plain,
( join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) != join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A))
| join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)) != join(sk1,A)
| join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) = join(sk1,A) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)))),bind(Y,$fot(join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)))),bind(Z,$fot(join(sk1,A)))]]) ).
cnf(refute_0_7126,plain,
( join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)) != join(sk1,A)
| join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) = join(sk1,A) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)),join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A))) )],[refute_0_7124,refute_0_7125]) ).
cnf(refute_0_7127,plain,
join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) = join(sk1,A),
inference(resolve,[$cnf( $equal(join(sk1,join(meet(sk1,converse(complement(converse(sk1)))),A)),join(sk1,A)) )],[refute_0_7113,refute_0_7126]) ).
cnf(refute_0_7128,plain,
( join(A,sk1) != join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A))
| join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)) != join(sk1,A)
| join(A,sk1) = join(sk1,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,sk1),join(sk1,A)) ),[0],$fot(join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)))]]) ).
cnf(refute_0_7129,plain,
( join(A,sk1) != join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A))
| join(A,sk1) = join(sk1,A) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A)),join(sk1,A)) )],[refute_0_7127,refute_0_7128]) ).
cnf(refute_0_7130,plain,
join(A,sk1) = join(sk1,A),
inference(resolve,[$cnf( $equal(join(A,sk1),join(complement(converse(complement(converse(sk1)))),join(meet(sk1,converse(complement(converse(sk1)))),A))) )],[refute_0_7095,refute_0_7129]) ).
cnf(refute_0_7131,plain,
join(meet(complement(sk1),composition(top,sk1)),sk1) = join(sk1,meet(complement(sk1),composition(top,sk1))),
inference(subst,[],[refute_0_7130:[bind(A,$fot(meet(complement(sk1),composition(top,sk1))))]]) ).
cnf(refute_0_7132,plain,
join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))),
introduced(tautology,[refl,[$fot(join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_7133,plain,
( join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) != join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))
| meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) != sk1
| join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(meet(complement(sk1),composition(top,sk1)),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))),join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))) ),[1,1],$fot(sk1)]]) ).
cnf(refute_0_7134,plain,
( meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))) != sk1
| join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(meet(complement(sk1),composition(top,sk1)),sk1) ),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))),join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_7132,refute_0_7133]) ).
cnf(refute_0_7135,plain,
join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(meet(complement(sk1),composition(top,sk1)),sk1),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),sk1) )],[refute_0_6449,refute_0_7134]) ).
cnf(refute_0_7136,plain,
meet(composition(top,sk1),complement(sk1)) = meet(complement(sk1),composition(top,sk1)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(sk1))),bind(X_7,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_7137,plain,
join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))),
introduced(tautology,[refl,[$fot(join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_7138,plain,
( join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) != join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))
| meet(composition(top,sk1),complement(sk1)) != meet(complement(sk1),composition(top,sk1))
| join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))),join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))) ),[1,0],$fot(meet(complement(sk1),composition(top,sk1)))]]) ).
cnf(refute_0_7139,plain,
( meet(composition(top,sk1),complement(sk1)) != meet(complement(sk1),composition(top,sk1))
| join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))),join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_7137,refute_0_7138]) ).
cnf(refute_0_7140,plain,
join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(sk1)),meet(complement(sk1),composition(top,sk1))) )],[refute_0_7136,refute_0_7139]) ).
cnf(refute_0_7141,plain,
( join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) != join(meet(complement(sk1),composition(top,sk1)),sk1)
| join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) != join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))
| join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(meet(complement(sk1),composition(top,sk1)),sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))))),bind(Y,$fot(join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))))),bind(Z,$fot(join(meet(complement(sk1),composition(top,sk1)),sk1)))]]) ).
cnf(refute_0_7142,plain,
( join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) != join(meet(complement(sk1),composition(top,sk1)),sk1)
| join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(meet(complement(sk1),composition(top,sk1)),sk1) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))),join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_7140,refute_0_7141]) ).
cnf(refute_0_7143,plain,
join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(meet(complement(sk1),composition(top,sk1)),sk1),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),composition(top,sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))),join(meet(complement(sk1),composition(top,sk1)),sk1)) )],[refute_0_7135,refute_0_7142]) ).
cnf(refute_0_7144,plain,
( join(meet(complement(sk1),composition(top,sk1)),sk1) != join(sk1,meet(complement(sk1),composition(top,sk1)))
| join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) != join(meet(complement(sk1),composition(top,sk1)),sk1)
| join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(sk1,meet(complement(sk1),composition(top,sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))))),bind(Y,$fot(join(meet(complement(sk1),composition(top,sk1)),sk1))),bind(Z,$fot(join(sk1,meet(complement(sk1),composition(top,sk1)))))]]) ).
cnf(refute_0_7145,plain,
( join(meet(complement(sk1),composition(top,sk1)),sk1) != join(sk1,meet(complement(sk1),composition(top,sk1)))
| join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(sk1,meet(complement(sk1),composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))),join(meet(complement(sk1),composition(top,sk1)),sk1)) )],[refute_0_7143,refute_0_7144]) ).
cnf(refute_0_7146,plain,
join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) = join(sk1,meet(complement(sk1),composition(top,sk1))),
inference(resolve,[$cnf( $equal(join(meet(complement(sk1),composition(top,sk1)),sk1),join(sk1,meet(complement(sk1),composition(top,sk1)))) )],[refute_0_7131,refute_0_7145]) ).
cnf(refute_0_7147,plain,
join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1))) = join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))),bind(B,$fot(meet(composition(top,sk1),complement(sk1))))]]) ).
cnf(refute_0_7148,plain,
( join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1))) != join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))
| join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) != join(sk1,meet(complement(sk1),composition(top,sk1)))
| join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1))) = join(sk1,meet(complement(sk1),composition(top,sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1))))),bind(Y,$fot(join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))))),bind(Z,$fot(join(sk1,meet(complement(sk1),composition(top,sk1)))))]]) ).
cnf(refute_0_7149,plain,
( join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))) != join(sk1,meet(complement(sk1),composition(top,sk1)))
| join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1))) = join(sk1,meet(complement(sk1),composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1))),join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_7147,refute_0_7148]) ).
cnf(refute_0_7150,plain,
join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1))) = join(sk1,meet(complement(sk1),composition(top,sk1))),
inference(resolve,[$cnf( $equal(join(meet(composition(top,sk1),complement(sk1)),meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1)))),join(sk1,meet(complement(sk1),composition(top,sk1)))) )],[refute_0_7146,refute_0_7149]) ).
cnf(refute_0_7151,plain,
( composition(top,sk1) != join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1)))
| join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1))) != join(sk1,meet(complement(sk1),composition(top,sk1)))
| composition(top,sk1) = join(sk1,meet(complement(sk1),composition(top,sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,sk1),join(sk1,meet(complement(sk1),composition(top,sk1)))) ),[0],$fot(join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1))))]]) ).
cnf(refute_0_7152,plain,
( composition(top,sk1) != join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1)))
| composition(top,sk1) = join(sk1,meet(complement(sk1),composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1))),join(sk1,meet(complement(sk1),composition(top,sk1)))) )],[refute_0_7150,refute_0_7151]) ).
cnf(refute_0_7153,plain,
composition(top,sk1) = join(sk1,meet(complement(sk1),composition(top,sk1))),
inference(resolve,[$cnf( $equal(composition(top,sk1),join(meet(composition(top,sk1),complement(composition(complement(converse(sk1)),sk1))),meet(composition(top,sk1),complement(sk1)))) )],[refute_0_6452,refute_0_7152]) ).
cnf(refute_0_7154,plain,
( composition(top,sk1) != join(sk1,meet(complement(sk1),composition(top,sk1)))
| join(sk1,meet(complement(sk1),composition(top,sk1))) = composition(top,sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,sk1))),bind(Y,$fot(join(sk1,meet(complement(sk1),composition(top,sk1)))))]]) ).
cnf(refute_0_7155,plain,
join(sk1,meet(complement(sk1),composition(top,sk1))) = composition(top,sk1),
inference(resolve,[$cnf( $equal(composition(top,sk1),join(sk1,meet(complement(sk1),composition(top,sk1)))) )],[refute_0_7153,refute_0_7154]) ).
cnf(refute_0_7156,plain,
( join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) != join(one,join(sk1,meet(complement(sk1),composition(top,sk1))))
| join(sk1,meet(complement(sk1),composition(top,sk1))) != composition(top,sk1)
| join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) = join(one,composition(top,sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))),join(one,join(sk1,meet(complement(sk1),composition(top,sk1))))) ),[1,1],$fot(composition(top,sk1))]]) ).
cnf(refute_0_7157,plain,
( join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) != join(one,join(sk1,meet(complement(sk1),composition(top,sk1))))
| join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) = join(one,composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(complement(sk1),composition(top,sk1))),composition(top,sk1)) )],[refute_0_7155,refute_0_7156]) ).
cnf(refute_0_7158,plain,
join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) = join(one,composition(top,sk1)),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))),join(one,join(sk1,meet(complement(sk1),composition(top,sk1))))) )],[refute_0_5844,refute_0_7157]) ).
cnf(refute_0_7159,plain,
join(one,join(sk1,meet(complement(sk1),composition(top,sk1)))) = join(one,meet(complement(sk1),composition(top,sk1))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(meet(complement(sk1),composition(top,sk1))))]]) ).
cnf(refute_0_7160,plain,
join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1))))) = join(one,join(sk1,meet(complement(sk1),composition(top,sk1)))),
inference(subst,[],[refute_0_1581:[bind(C,$fot(meet(complement(sk1),composition(top,sk1)))),bind(X_35,$fot(sk1))]]) ).
cnf(refute_0_7161,plain,
( join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1))))) != join(one,join(sk1,meet(complement(sk1),composition(top,sk1))))
| join(one,join(sk1,meet(complement(sk1),composition(top,sk1)))) != join(one,meet(complement(sk1),composition(top,sk1)))
| join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1))))) = join(one,meet(complement(sk1),composition(top,sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1))))))),bind(Y,$fot(join(one,join(sk1,meet(complement(sk1),composition(top,sk1)))))),bind(Z,$fot(join(one,meet(complement(sk1),composition(top,sk1)))))]]) ).
cnf(refute_0_7162,plain,
( join(one,join(sk1,meet(complement(sk1),composition(top,sk1)))) != join(one,meet(complement(sk1),composition(top,sk1)))
| join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1))))) = join(one,meet(complement(sk1),composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1))))),join(one,join(sk1,meet(complement(sk1),composition(top,sk1))))) )],[refute_0_7160,refute_0_7161]) ).
cnf(refute_0_7163,plain,
join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1))))) = join(one,meet(complement(sk1),composition(top,sk1))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,meet(complement(sk1),composition(top,sk1)))),join(one,meet(complement(sk1),composition(top,sk1)))) )],[refute_0_7159,refute_0_7162]) ).
cnf(refute_0_7164,plain,
join(one,join(X_277,join(join(X_32,A),sk1))) = join(one,join(X_277,join(X_32,A))),
inference(subst,[],[refute_0_5843:[bind(A,$fot(X_277)),bind(B,$fot(join(X_32,A)))]]) ).
cnf(refute_0_7165,plain,
join(A,join(X_277,X_32)) = join(X_277,join(X_32,A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(X_277))]]) ).
cnf(refute_0_7166,plain,
( join(A,join(X_277,X_32)) != join(X_277,join(X_32,A))
| join(X_277,join(X_32,A)) = join(A,join(X_277,X_32)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(X_277,X_32)))),bind(Y,$fot(join(X_277,join(X_32,A))))]]) ).
cnf(refute_0_7167,plain,
join(X_277,join(X_32,A)) = join(A,join(X_277,X_32)),
inference(resolve,[$cnf( $equal(join(A,join(X_277,X_32)),join(X_277,join(X_32,A))) )],[refute_0_7165,refute_0_7166]) ).
cnf(refute_0_7168,plain,
( join(X_277,join(X_32,A)) != join(A,join(X_277,X_32))
| join(one,join(X_277,join(join(X_32,A),sk1))) != join(one,join(X_277,join(X_32,A)))
| join(one,join(X_277,join(join(X_32,A),sk1))) = join(one,join(A,join(X_277,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_277,join(join(X_32,A),sk1))),join(one,join(X_277,join(X_32,A)))) ),[1,1],$fot(join(A,join(X_277,X_32)))]]) ).
cnf(refute_0_7169,plain,
( join(one,join(X_277,join(join(X_32,A),sk1))) != join(one,join(X_277,join(X_32,A)))
| join(one,join(X_277,join(join(X_32,A),sk1))) = join(one,join(A,join(X_277,X_32))) ),
inference(resolve,[$cnf( $equal(join(X_277,join(X_32,A)),join(A,join(X_277,X_32))) )],[refute_0_7167,refute_0_7168]) ).
cnf(refute_0_7170,plain,
join(one,join(X_277,join(join(X_32,A),sk1))) = join(one,join(A,join(X_277,X_32))),
inference(resolve,[$cnf( $equal(join(one,join(X_277,join(join(X_32,A),sk1))),join(one,join(X_277,join(X_32,A)))) )],[refute_0_7164,refute_0_7169]) ).
cnf(refute_0_7171,plain,
( join(one,join(X_277,join(join(X_32,A),sk1))) != join(one,join(A,join(X_277,X_32)))
| join(one,join(X_277,join(join(X_32,A),sk1))) != join(one,join(X_277,join(X_32,A)))
| join(one,join(X_277,join(X_32,A))) = join(one,join(A,join(X_277,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_277,join(join(X_32,A),sk1))),join(one,join(A,join(X_277,X_32)))) ),[0],$fot(join(one,join(X_277,join(X_32,A))))]]) ).
cnf(refute_0_7172,plain,
( join(one,join(X_277,join(join(X_32,A),sk1))) != join(one,join(A,join(X_277,X_32)))
| join(one,join(X_277,join(X_32,A))) = join(one,join(A,join(X_277,X_32))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_277,join(join(X_32,A),sk1))),join(one,join(X_277,join(X_32,A)))) )],[refute_0_7164,refute_0_7171]) ).
cnf(refute_0_7173,plain,
join(one,join(X_277,join(X_32,A))) = join(one,join(A,join(X_277,X_32))),
inference(resolve,[$cnf( $equal(join(one,join(X_277,join(join(X_32,A),sk1))),join(one,join(A,join(X_277,X_32)))) )],[refute_0_7170,refute_0_7172]) ).
cnf(refute_0_7174,plain,
join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) = join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1))))),
inference(subst,[],[refute_0_7173:[bind(A,$fot(sk1)),bind(X_277,$fot(sk1)),bind(X_32,$fot(meet(complement(sk1),composition(top,sk1))))]]) ).
cnf(refute_0_7175,plain,
( join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) != join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1)))))
| join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1))))) != join(one,meet(complement(sk1),composition(top,sk1)))
| join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) = join(one,meet(complement(sk1),composition(top,sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))))),bind(Y,$fot(join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1))))))),bind(Z,$fot(join(one,meet(complement(sk1),composition(top,sk1)))))]]) ).
cnf(refute_0_7176,plain,
( join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1))))) != join(one,meet(complement(sk1),composition(top,sk1)))
| join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) = join(one,meet(complement(sk1),composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))),join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1)))))) )],[refute_0_7174,refute_0_7175]) ).
cnf(refute_0_7177,plain,
join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) = join(one,meet(complement(sk1),composition(top,sk1))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(sk1,meet(complement(sk1),composition(top,sk1))))),join(one,meet(complement(sk1),composition(top,sk1)))) )],[refute_0_7163,refute_0_7176]) ).
cnf(refute_0_7178,plain,
( join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) != join(one,composition(top,sk1))
| join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) != join(one,meet(complement(sk1),composition(top,sk1)))
| join(one,meet(complement(sk1),composition(top,sk1))) = join(one,composition(top,sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))),join(one,composition(top,sk1))) ),[0],$fot(join(one,meet(complement(sk1),composition(top,sk1))))]]) ).
cnf(refute_0_7179,plain,
( join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))) != join(one,composition(top,sk1))
| join(one,meet(complement(sk1),composition(top,sk1))) = join(one,composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))),join(one,meet(complement(sk1),composition(top,sk1)))) )],[refute_0_7177,refute_0_7178]) ).
cnf(refute_0_7180,plain,
join(one,meet(complement(sk1),composition(top,sk1))) = join(one,composition(top,sk1)),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(meet(complement(sk1),composition(top,sk1)),sk1))),join(one,composition(top,sk1))) )],[refute_0_7158,refute_0_7179]) ).
cnf(refute_0_7181,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != join(complement(join(one,meet(complement(sk1),composition(top,sk1)))),meet(complement(meet(complement(sk1),composition(top,sk1))),one))
| join(one,meet(complement(sk1),composition(top,sk1))) != join(one,composition(top,sk1))
| complement(meet(complement(sk1),composition(top,sk1))) = join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(sk1),composition(top,sk1))),join(complement(join(one,meet(complement(sk1),composition(top,sk1)))),meet(complement(meet(complement(sk1),composition(top,sk1))),one))) ),[1,0,0],$fot(join(one,composition(top,sk1)))]]) ).
cnf(refute_0_7182,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != join(complement(join(one,meet(complement(sk1),composition(top,sk1)))),meet(complement(meet(complement(sk1),composition(top,sk1))),one))
| complement(meet(complement(sk1),composition(top,sk1))) = join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(sk1),composition(top,sk1))),join(one,composition(top,sk1))) )],[refute_0_7180,refute_0_7181]) ).
cnf(refute_0_7183,plain,
complement(meet(complement(sk1),composition(top,sk1))) = join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk1),composition(top,sk1))),join(complement(join(one,meet(complement(sk1),composition(top,sk1)))),meet(complement(meet(complement(sk1),composition(top,sk1))),one))) )],[refute_0_5836,refute_0_7182]) ).
cnf(refute_0_7184,plain,
meet(complement(meet(complement(sk1),composition(top,sk1))),one) = meet(one,complement(meet(complement(sk1),composition(top,sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(meet(complement(sk1),composition(top,sk1)))))]]) ).
cnf(refute_0_7185,plain,
join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)) = join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)),
introduced(tautology,[refl,[$fot(join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)))]]) ).
cnf(refute_0_7186,plain,
( join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)) != join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one))
| meet(complement(meet(complement(sk1),composition(top,sk1))),one) != meet(one,complement(meet(complement(sk1),composition(top,sk1))))
| join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)) = join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)),join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one))) ),[1,1],$fot(meet(one,complement(meet(complement(sk1),composition(top,sk1)))))]]) ).
cnf(refute_0_7187,plain,
( meet(complement(meet(complement(sk1),composition(top,sk1))),one) != meet(one,complement(meet(complement(sk1),composition(top,sk1))))
| join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)) = join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)),join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one))) )],[refute_0_7185,refute_0_7186]) ).
cnf(refute_0_7188,plain,
join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)) = join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(sk1),composition(top,sk1))),one),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) )],[refute_0_7184,refute_0_7187]) ).
cnf(refute_0_7189,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one))
| join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)) != join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))
| complement(meet(complement(sk1),composition(top,sk1))) = join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(complement(sk1),composition(top,sk1))),join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))) ),[0],$fot(join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)))]]) ).
cnf(refute_0_7190,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one))
| complement(meet(complement(sk1),composition(top,sk1))) = join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one)),join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))) )],[refute_0_7188,refute_0_7189]) ).
cnf(refute_0_7191,plain,
complement(meet(complement(sk1),composition(top,sk1))) = join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk1),composition(top,sk1))),join(complement(join(one,composition(top,sk1))),meet(complement(meet(complement(sk1),composition(top,sk1))),one))) )],[refute_0_7183,refute_0_7190]) ).
cnf(refute_0_7192,plain,
complement(meet(complement(sk1),composition(top,sk1))) = join(complement(join(sk1,meet(complement(sk1),composition(top,sk1)))),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)),
inference(subst,[],[refute_0_3237:[bind(X_259,$fot(sk1)),bind(X_97,$fot(meet(complement(sk1),composition(top,sk1))))]]) ).
cnf(refute_0_7193,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != join(complement(join(sk1,meet(complement(sk1),composition(top,sk1)))),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1))
| join(sk1,meet(complement(sk1),composition(top,sk1))) != composition(top,sk1)
| complement(meet(complement(sk1),composition(top,sk1))) = join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(sk1),composition(top,sk1))),join(complement(join(sk1,meet(complement(sk1),composition(top,sk1)))),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1))) ),[1,0,0],$fot(composition(top,sk1))]]) ).
cnf(refute_0_7194,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != join(complement(join(sk1,meet(complement(sk1),composition(top,sk1)))),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1))
| complement(meet(complement(sk1),composition(top,sk1))) = join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(complement(sk1),composition(top,sk1))),composition(top,sk1)) )],[refute_0_7155,refute_0_7193]) ).
cnf(refute_0_7195,plain,
complement(meet(complement(sk1),composition(top,sk1))) = join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk1),composition(top,sk1))),join(complement(join(sk1,meet(complement(sk1),composition(top,sk1)))),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1))) )],[refute_0_7192,refute_0_7194]) ).
cnf(refute_0_7196,plain,
complement(composition(complement(converse(sk1)),sk1)) = join(complement(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))),
inference(subst,[],[refute_0_3237:[bind(X_259,$fot(complement(composition(top,sk1)))),bind(X_97,$fot(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_7197,plain,
( complement(composition(complement(converse(sk1)),sk1)) != join(complement(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))
| join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)) != complement(sk1)
| complement(composition(complement(converse(sk1)),sk1)) = join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),join(complement(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))) ),[1,0,0],$fot(complement(sk1))]]) ).
cnf(refute_0_7198,plain,
( complement(composition(complement(converse(sk1)),sk1)) != join(complement(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))
| complement(composition(complement(converse(sk1)),sk1)) = join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)),complement(sk1)) )],[refute_0_6443,refute_0_7197]) ).
cnf(refute_0_7199,plain,
complement(composition(complement(converse(sk1)),sk1)) = join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),join(complement(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))) )],[refute_0_7196,refute_0_7198]) ).
cnf(refute_0_7200,plain,
join(top,complement(converse(sk1))) = top,
inference(subst,[],[refute_0_459:[bind(X_31,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_7201,plain,
composition(join(top,complement(converse(sk1))),sk1) = composition(join(top,complement(converse(sk1))),sk1),
introduced(tautology,[refl,[$fot(composition(join(top,complement(converse(sk1))),sk1))]]) ).
cnf(refute_0_7202,plain,
( composition(join(top,complement(converse(sk1))),sk1) != composition(join(top,complement(converse(sk1))),sk1)
| join(top,complement(converse(sk1))) != top
| composition(join(top,complement(converse(sk1))),sk1) = composition(top,sk1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,complement(converse(sk1))),sk1),composition(join(top,complement(converse(sk1))),sk1)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_7203,plain,
( join(top,complement(converse(sk1))) != top
| composition(join(top,complement(converse(sk1))),sk1) = composition(top,sk1) ),
inference(resolve,[$cnf( $equal(composition(join(top,complement(converse(sk1))),sk1),composition(join(top,complement(converse(sk1))),sk1)) )],[refute_0_7201,refute_0_7202]) ).
cnf(refute_0_7204,plain,
composition(join(top,complement(converse(sk1))),sk1) = composition(top,sk1),
inference(resolve,[$cnf( $equal(join(top,complement(converse(sk1))),top) )],[refute_0_7200,refute_0_7203]) ).
cnf(refute_0_7205,plain,
join(composition(top,sk1),composition(complement(converse(sk1)),sk1)) = composition(join(top,complement(converse(sk1))),sk1),
inference(subst,[],[refute_0_6401:[bind(A,$fot(top)),bind(B,$fot(complement(converse(sk1)))),bind(C,$fot(sk1))]]) ).
cnf(refute_0_7206,plain,
( composition(join(top,complement(converse(sk1))),sk1) != composition(top,sk1)
| join(composition(top,sk1),composition(complement(converse(sk1)),sk1)) != composition(join(top,complement(converse(sk1))),sk1)
| join(composition(top,sk1),composition(complement(converse(sk1)),sk1)) = composition(top,sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(composition(top,sk1),composition(complement(converse(sk1)),sk1)))),bind(Y,$fot(composition(join(top,complement(converse(sk1))),sk1))),bind(Z,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_7207,plain,
( composition(join(top,complement(converse(sk1))),sk1) != composition(top,sk1)
| join(composition(top,sk1),composition(complement(converse(sk1)),sk1)) = composition(top,sk1) ),
inference(resolve,[$cnf( $equal(join(composition(top,sk1),composition(complement(converse(sk1)),sk1)),composition(join(top,complement(converse(sk1))),sk1)) )],[refute_0_7205,refute_0_7206]) ).
cnf(refute_0_7208,plain,
join(composition(top,sk1),composition(complement(converse(sk1)),sk1)) = composition(top,sk1),
inference(resolve,[$cnf( $equal(composition(join(top,complement(converse(sk1))),sk1),composition(top,sk1)) )],[refute_0_7204,refute_0_7207]) ).
cnf(refute_0_7209,plain,
complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))) = complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))),
introduced(tautology,[refl,[$fot(complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_7210,plain,
( complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))) != complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1)))
| join(composition(top,sk1),composition(complement(converse(sk1)),sk1)) != composition(top,sk1)
| complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))) = complement(composition(top,sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))),complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1)))) ),[1,0],$fot(composition(top,sk1))]]) ).
cnf(refute_0_7211,plain,
( join(composition(top,sk1),composition(complement(converse(sk1)),sk1)) != composition(top,sk1)
| complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))) = complement(composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))),complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1)))) )],[refute_0_7209,refute_0_7210]) ).
cnf(refute_0_7212,plain,
complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))) = complement(composition(top,sk1)),
inference(resolve,[$cnf( $equal(join(composition(top,sk1),composition(complement(converse(sk1)),sk1)),composition(top,sk1)) )],[refute_0_7208,refute_0_7211]) ).
cnf(refute_0_7213,plain,
complement(join(composition(complement(converse(sk1)),sk1),composition(top,sk1))) = complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))),
inference(subst,[],[refute_0_3210:[bind(A,$fot(composition(top,sk1))),bind(B,$fot(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_7214,plain,
meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))) = complement(join(composition(complement(converse(sk1)),sk1),composition(top,sk1))),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(composition(top,sk1))),bind(X_97,$fot(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_7215,plain,
( complement(join(composition(complement(converse(sk1)),sk1),composition(top,sk1))) != complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1)))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))) != complement(join(composition(complement(converse(sk1)),sk1),composition(top,sk1)))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))) = complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))),bind(Y,$fot(complement(join(composition(complement(converse(sk1)),sk1),composition(top,sk1))))),bind(Z,$fot(complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_7216,plain,
( complement(join(composition(complement(converse(sk1)),sk1),composition(top,sk1))) != complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1)))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))) = complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))),complement(join(composition(complement(converse(sk1)),sk1),composition(top,sk1)))) )],[refute_0_7214,refute_0_7215]) ).
cnf(refute_0_7217,plain,
meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))) = complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(complement(join(composition(complement(converse(sk1)),sk1),composition(top,sk1))),complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1)))) )],[refute_0_7213,refute_0_7216]) ).
cnf(refute_0_7218,plain,
( complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))) != complement(composition(top,sk1))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))) != complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1)))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))) = complement(composition(top,sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))),bind(Y,$fot(complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))))),bind(Z,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_7219,plain,
( complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))) != complement(composition(top,sk1))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))) = complement(composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))),complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1)))) )],[refute_0_7217,refute_0_7218]) ).
cnf(refute_0_7220,plain,
meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))) = complement(composition(top,sk1)),
inference(resolve,[$cnf( $equal(complement(join(composition(top,sk1),composition(complement(converse(sk1)),sk1))),complement(composition(top,sk1))) )],[refute_0_7212,refute_0_7219]) ).
cnf(refute_0_7221,plain,
join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) = join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))),
introduced(tautology,[refl,[$fot(join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7222,plain,
( join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) != join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))
| meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))) != complement(composition(top,sk1))
| join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) = join(sk1,complement(composition(top,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))),join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))) ),[1,1],$fot(complement(composition(top,sk1)))]]) ).
cnf(refute_0_7223,plain,
( meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))) != complement(composition(top,sk1))
| join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) = join(sk1,complement(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))),join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))) )],[refute_0_7221,refute_0_7222]) ).
cnf(refute_0_7224,plain,
join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) = join(sk1,complement(composition(top,sk1))),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))),complement(composition(top,sk1))) )],[refute_0_7220,refute_0_7223]) ).
cnf(refute_0_7225,plain,
join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) = join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))),
introduced(tautology,[refl,[$fot(join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7226,plain,
( complement(complement(sk1)) != sk1
| join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) != join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))
| join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) = join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))),join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_7227,plain,
( complement(complement(sk1)) != sk1
| join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) = join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))),join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))) )],[refute_0_7225,refute_0_7226]) ).
cnf(refute_0_7228,plain,
join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) = join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))),
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_2273,refute_0_7227]) ).
cnf(refute_0_7229,plain,
( join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) != join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))
| join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) != join(sk1,complement(composition(top,sk1)))
| join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) = join(sk1,complement(composition(top,sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))))),bind(Y,$fot(join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))))),bind(Z,$fot(join(sk1,complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7230,plain,
( join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) != join(sk1,complement(composition(top,sk1)))
| join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) = join(sk1,complement(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))),join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))) )],[refute_0_7228,refute_0_7229]) ).
cnf(refute_0_7231,plain,
join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) = join(sk1,complement(composition(top,sk1))),
inference(resolve,[$cnf( $equal(join(sk1,meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))),join(sk1,complement(composition(top,sk1)))) )],[refute_0_7224,refute_0_7230]) ).
cnf(refute_0_7232,plain,
( complement(composition(complement(converse(sk1)),sk1)) != join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))
| join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))) != join(sk1,complement(composition(top,sk1)))
| complement(composition(complement(converse(sk1)),sk1)) = join(sk1,complement(composition(top,sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(converse(sk1)),sk1)),join(sk1,complement(composition(top,sk1)))) ),[0],$fot(join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7233,plain,
( complement(composition(complement(converse(sk1)),sk1)) != join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))
| complement(composition(complement(converse(sk1)),sk1)) = join(sk1,complement(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1)))),join(sk1,complement(composition(top,sk1)))) )],[refute_0_7231,refute_0_7232]) ).
cnf(refute_0_7234,plain,
complement(composition(complement(converse(sk1)),sk1)) = join(sk1,complement(composition(top,sk1))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),join(complement(complement(sk1)),meet(complement(composition(complement(converse(sk1)),sk1)),complement(composition(top,sk1))))) )],[refute_0_7199,refute_0_7233]) ).
cnf(refute_0_7235,plain,
( complement(composition(complement(converse(sk1)),sk1)) != join(sk1,complement(composition(top,sk1)))
| join(sk1,complement(composition(top,sk1))) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(complement(converse(sk1)),sk1)))),bind(Y,$fot(join(sk1,complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7236,plain,
join(sk1,complement(composition(top,sk1))) = complement(composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),join(sk1,complement(composition(top,sk1)))) )],[refute_0_7234,refute_0_7235]) ).
cnf(refute_0_7237,plain,
join(complement(composition(top,sk1)),sk1) = join(sk1,complement(composition(top,sk1))),
inference(subst,[],[refute_0_7130:[bind(A,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_7238,plain,
( join(complement(composition(top,sk1)),sk1) != join(sk1,complement(composition(top,sk1)))
| join(sk1,complement(composition(top,sk1))) != complement(composition(complement(converse(sk1)),sk1))
| join(complement(composition(top,sk1)),sk1) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(composition(top,sk1)),sk1))),bind(Y,$fot(join(sk1,complement(composition(top,sk1))))),bind(Z,$fot(complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_7239,plain,
( join(sk1,complement(composition(top,sk1))) != complement(composition(complement(converse(sk1)),sk1))
| join(complement(composition(top,sk1)),sk1) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk1)),sk1),join(sk1,complement(composition(top,sk1)))) )],[refute_0_7237,refute_0_7238]) ).
cnf(refute_0_7240,plain,
join(complement(composition(top,sk1)),sk1) = complement(composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(join(sk1,complement(composition(top,sk1))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7236,refute_0_7239]) ).
cnf(refute_0_7241,plain,
sk1 = join(meet(sk1,meet(complement(sk1),X_308)),meet(complement(meet(complement(sk1),X_308)),sk1)),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(meet(complement(sk1),X_308))),bind(X_117,$fot(sk1))]]) ).
cnf(refute_0_7242,plain,
meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(complement(meet(sk1,meet(X_306,complement(sk1))))))))) = zero,
inference(subst,[],[refute_0_6465:[bind(X_298,$fot(meet(sk1,meet(X_306,complement(sk1)))))]]) ).
cnf(refute_0_7243,plain,
join(join(sk1,complement(X_279)),complement(sk1)) = complement(meet(sk1,complement(join(sk1,complement(X_279))))),
inference(subst,[],[refute_0_3676:[bind(X_287,$fot(join(sk1,complement(X_279))))]]) ).
cnf(refute_0_7244,plain,
( complement(join(sk1,complement(X_279))) != meet(X_279,complement(sk1))
| join(join(sk1,complement(X_279)),complement(sk1)) != complement(meet(sk1,complement(join(sk1,complement(X_279)))))
| join(join(sk1,complement(X_279)),complement(sk1)) = complement(meet(sk1,meet(X_279,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(sk1,complement(X_279)),complement(sk1)),complement(meet(sk1,complement(join(sk1,complement(X_279)))))) ),[1,0,1],$fot(meet(X_279,complement(sk1)))]]) ).
cnf(refute_0_7245,plain,
( join(join(sk1,complement(X_279)),complement(sk1)) != complement(meet(sk1,complement(join(sk1,complement(X_279)))))
| join(join(sk1,complement(X_279)),complement(sk1)) = complement(meet(sk1,meet(X_279,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(X_279))),meet(X_279,complement(sk1))) )],[refute_0_5261,refute_0_7244]) ).
cnf(refute_0_7246,plain,
join(join(sk1,complement(X_279)),complement(sk1)) = complement(meet(sk1,meet(X_279,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(X_279)),complement(sk1)),complement(meet(sk1,complement(join(sk1,complement(X_279)))))) )],[refute_0_7243,refute_0_7245]) ).
cnf(refute_0_7247,plain,
join(sk1,join(complement(sk1),complement(X_279))) = top,
inference(subst,[],[refute_0_463:[bind(X_31,$fot(sk1)),bind(X_33,$fot(complement(X_279)))]]) ).
cnf(refute_0_7248,plain,
join(complement(sk1),join(sk1,complement(X_279))) = join(sk1,join(complement(sk1),complement(X_279))),
inference(subst,[],[refute_0_4153:[bind(X_155,$fot(sk1)),bind(X_156,$fot(complement(sk1))),bind(X_157,$fot(complement(X_279)))]]) ).
cnf(refute_0_7249,plain,
( join(complement(sk1),join(sk1,complement(X_279))) != join(sk1,join(complement(sk1),complement(X_279)))
| join(sk1,join(complement(sk1),complement(X_279))) != top
| join(complement(sk1),join(sk1,complement(X_279))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(sk1),join(sk1,complement(X_279))))),bind(Y,$fot(join(sk1,join(complement(sk1),complement(X_279))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_7250,plain,
( join(sk1,join(complement(sk1),complement(X_279))) != top
| join(complement(sk1),join(sk1,complement(X_279))) = top ),
inference(resolve,[$cnf( $equal(join(complement(sk1),join(sk1,complement(X_279))),join(sk1,join(complement(sk1),complement(X_279)))) )],[refute_0_7248,refute_0_7249]) ).
cnf(refute_0_7251,plain,
join(complement(sk1),join(sk1,complement(X_279))) = top,
inference(resolve,[$cnf( $equal(join(sk1,join(complement(sk1),complement(X_279))),top) )],[refute_0_7247,refute_0_7250]) ).
cnf(refute_0_7252,plain,
join(join(sk1,complement(X_279)),complement(sk1)) = join(complement(sk1),join(sk1,complement(X_279))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(sk1,complement(X_279)))),bind(B,$fot(complement(sk1)))]]) ).
cnf(refute_0_7253,plain,
( join(complement(sk1),join(sk1,complement(X_279))) != top
| join(join(sk1,complement(X_279)),complement(sk1)) != join(complement(sk1),join(sk1,complement(X_279)))
| join(join(sk1,complement(X_279)),complement(sk1)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(sk1,complement(X_279)),complement(sk1)))),bind(Y,$fot(join(complement(sk1),join(sk1,complement(X_279))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_7254,plain,
( join(complement(sk1),join(sk1,complement(X_279))) != top
| join(join(sk1,complement(X_279)),complement(sk1)) = top ),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(X_279)),complement(sk1)),join(complement(sk1),join(sk1,complement(X_279)))) )],[refute_0_7252,refute_0_7253]) ).
cnf(refute_0_7255,plain,
join(join(sk1,complement(X_279)),complement(sk1)) = top,
inference(resolve,[$cnf( $equal(join(complement(sk1),join(sk1,complement(X_279))),top) )],[refute_0_7251,refute_0_7254]) ).
cnf(refute_0_7256,plain,
( join(join(sk1,complement(X_279)),complement(sk1)) != complement(meet(sk1,meet(X_279,complement(sk1))))
| join(join(sk1,complement(X_279)),complement(sk1)) != top
| top = complement(meet(sk1,meet(X_279,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(sk1,complement(X_279)),complement(sk1)),complement(meet(sk1,meet(X_279,complement(sk1))))) ),[0],$fot(top)]]) ).
cnf(refute_0_7257,plain,
( join(join(sk1,complement(X_279)),complement(sk1)) != complement(meet(sk1,meet(X_279,complement(sk1))))
| top = complement(meet(sk1,meet(X_279,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(X_279)),complement(sk1)),top) )],[refute_0_7255,refute_0_7256]) ).
cnf(refute_0_7258,plain,
top = complement(meet(sk1,meet(X_279,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(X_279)),complement(sk1)),complement(meet(sk1,meet(X_279,complement(sk1))))) )],[refute_0_7246,refute_0_7257]) ).
cnf(refute_0_7259,plain,
top = complement(meet(sk1,meet(X_306,complement(sk1)))),
inference(subst,[],[refute_0_7258:[bind(X_279,$fot(X_306))]]) ).
cnf(refute_0_7260,plain,
( top != complement(meet(sk1,meet(X_306,complement(sk1))))
| complement(meet(sk1,meet(X_306,complement(sk1)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(sk1,meet(X_306,complement(sk1))))))]]) ).
cnf(refute_0_7261,plain,
complement(meet(sk1,meet(X_306,complement(sk1)))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(sk1,meet(X_306,complement(sk1))))) )],[refute_0_7259,refute_0_7260]) ).
cnf(refute_0_7262,plain,
( complement(meet(sk1,meet(X_306,complement(sk1)))) != top
| meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(complement(meet(sk1,meet(X_306,complement(sk1))))))))) != zero
| meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(complement(meet(sk1,meet(X_306,complement(sk1))))))))),zero) ),[0,1,0,0,0,0],$fot(top)]]) ).
cnf(refute_0_7263,plain,
( meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(complement(meet(sk1,meet(X_306,complement(sk1))))))))) != zero
| meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))) = zero ),
inference(resolve,[$cnf( $equal(complement(meet(sk1,meet(X_306,complement(sk1)))),top) )],[refute_0_7261,refute_0_7262]) ).
cnf(refute_0_7264,plain,
meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))) = zero,
inference(resolve,[$cnf( $equal(meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(complement(meet(sk1,meet(X_306,complement(sk1))))))))),zero) )],[refute_0_7242,refute_0_7263]) ).
cnf(refute_0_7265,plain,
meet(top,meet(sk1,meet(X_306,complement(sk1)))) = meet(sk1,meet(X_306,complement(sk1))),
inference(subst,[],[refute_0_3072:[bind(X_105,$fot(meet(sk1,meet(X_306,complement(sk1)))))]]) ).
cnf(refute_0_7266,plain,
converse(complement(converse(top))) = converse(complement(converse(top))),
introduced(tautology,[refl,[$fot(converse(complement(converse(top))))]]) ).
cnf(refute_0_7267,plain,
( complement(converse(top)) != zero
| converse(complement(converse(top))) != converse(complement(converse(top)))
| converse(complement(converse(top))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(top))),converse(complement(converse(top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7268,plain,
( complement(converse(top)) != zero
| converse(complement(converse(top))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(top))),converse(complement(converse(top)))) )],[refute_0_7266,refute_0_7267]) ).
cnf(refute_0_7269,plain,
converse(complement(converse(top))) = converse(zero),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_948,refute_0_7268]) ).
cnf(refute_0_7270,plain,
( converse(complement(converse(top))) != converse(zero)
| converse(zero) != zero
| converse(complement(converse(top))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(complement(converse(top))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_7271,plain,
( converse(zero) != zero
| converse(complement(converse(top))) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(converse(top))),converse(zero)) )],[refute_0_7269,refute_0_7270]) ).
cnf(refute_0_7272,plain,
converse(complement(converse(top))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1322,refute_0_7271]) ).
cnf(refute_0_7273,plain,
complement(converse(complement(converse(top)))) = complement(converse(complement(converse(top)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(top)))))]]) ).
cnf(refute_0_7274,plain,
( complement(converse(complement(converse(top)))) != complement(converse(complement(converse(top))))
| converse(complement(converse(top))) != zero
| complement(converse(complement(converse(top)))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(top)))),complement(converse(complement(converse(top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7275,plain,
( converse(complement(converse(top))) != zero
| complement(converse(complement(converse(top)))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(top)))),complement(converse(complement(converse(top))))) )],[refute_0_7273,refute_0_7274]) ).
cnf(refute_0_7276,plain,
complement(converse(complement(converse(top)))) = complement(zero),
inference(resolve,[$cnf( $equal(converse(complement(converse(top))),zero) )],[refute_0_7272,refute_0_7275]) ).
cnf(refute_0_7277,plain,
( complement(converse(complement(converse(top)))) != complement(zero)
| complement(zero) != top
| complement(converse(complement(converse(top)))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(complement(converse(top)))))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_7278,plain,
( complement(zero) != top
| complement(converse(complement(converse(top)))) = top ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(top)))),complement(zero)) )],[refute_0_7276,refute_0_7277]) ).
cnf(refute_0_7279,plain,
complement(converse(complement(converse(top)))) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_3627,refute_0_7278]) ).
cnf(refute_0_7280,plain,
meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))) = meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))),
introduced(tautology,[refl,[$fot(meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))))]]) ).
cnf(refute_0_7281,plain,
( complement(converse(complement(converse(top)))) != top
| meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))) != meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1))))
| meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))) = meet(top,meet(sk1,meet(X_306,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))),meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_7282,plain,
( complement(converse(complement(converse(top)))) != top
| meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))) = meet(top,meet(sk1,meet(X_306,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))),meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1))))) )],[refute_0_7280,refute_0_7281]) ).
cnf(refute_0_7283,plain,
meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))) = meet(top,meet(sk1,meet(X_306,complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(top)))),top) )],[refute_0_7279,refute_0_7282]) ).
cnf(refute_0_7284,plain,
( meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))) != meet(top,meet(sk1,meet(X_306,complement(sk1))))
| meet(top,meet(sk1,meet(X_306,complement(sk1)))) != meet(sk1,meet(X_306,complement(sk1)))
| meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))) = meet(sk1,meet(X_306,complement(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))))),bind(Y,$fot(meet(top,meet(sk1,meet(X_306,complement(sk1)))))),bind(Z,$fot(meet(sk1,meet(X_306,complement(sk1)))))]]) ).
cnf(refute_0_7285,plain,
( meet(top,meet(sk1,meet(X_306,complement(sk1)))) != meet(sk1,meet(X_306,complement(sk1)))
| meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))) = meet(sk1,meet(X_306,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))),meet(top,meet(sk1,meet(X_306,complement(sk1))))) )],[refute_0_7283,refute_0_7284]) ).
cnf(refute_0_7286,plain,
meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))) = meet(sk1,meet(X_306,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(top,meet(sk1,meet(X_306,complement(sk1)))),meet(sk1,meet(X_306,complement(sk1)))) )],[refute_0_7265,refute_0_7285]) ).
cnf(refute_0_7287,plain,
meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))) = meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(converse(complement(converse(top)))))),bind(X_7,$fot(meet(sk1,meet(X_306,complement(sk1)))))]]) ).
cnf(refute_0_7288,plain,
( meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))) != meet(sk1,meet(X_306,complement(sk1)))
| meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))) != meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1))))
| meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))) = meet(sk1,meet(X_306,complement(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))))),bind(Y,$fot(meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))))),bind(Z,$fot(meet(sk1,meet(X_306,complement(sk1)))))]]) ).
cnf(refute_0_7289,plain,
( meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))) != meet(sk1,meet(X_306,complement(sk1)))
| meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))) = meet(sk1,meet(X_306,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))),meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1))))) )],[refute_0_7287,refute_0_7288]) ).
cnf(refute_0_7290,plain,
meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))) = meet(sk1,meet(X_306,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(converse(top)))),meet(sk1,meet(X_306,complement(sk1)))),meet(sk1,meet(X_306,complement(sk1)))) )],[refute_0_7286,refute_0_7289]) ).
cnf(refute_0_7291,plain,
( meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))) != meet(sk1,meet(X_306,complement(sk1)))
| meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))) != zero
| meet(sk1,meet(X_306,complement(sk1))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))),zero) ),[0],$fot(meet(sk1,meet(X_306,complement(sk1))))]]) ).
cnf(refute_0_7292,plain,
( meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))) != zero
| meet(sk1,meet(X_306,complement(sk1))) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))),meet(sk1,meet(X_306,complement(sk1)))) )],[refute_0_7290,refute_0_7291]) ).
cnf(refute_0_7293,plain,
meet(sk1,meet(X_306,complement(sk1))) = zero,
inference(resolve,[$cnf( $equal(meet(meet(sk1,meet(X_306,complement(sk1))),complement(converse(complement(converse(top))))),zero) )],[refute_0_7264,refute_0_7292]) ).
cnf(refute_0_7294,plain,
meet(sk1,meet(X_307,complement(sk1))) = zero,
inference(subst,[],[refute_0_7293:[bind(X_306,$fot(X_307))]]) ).
cnf(refute_0_7295,plain,
meet(complement(sk1),X_307) = meet(X_307,complement(sk1)),
inference(subst,[],[refute_0_33:[bind(X_6,$fot(complement(sk1))),bind(X_7,$fot(X_307))]]) ).
cnf(refute_0_7296,plain,
( meet(complement(sk1),X_307) != meet(X_307,complement(sk1))
| meet(X_307,complement(sk1)) = meet(complement(sk1),X_307) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(sk1),X_307))),bind(Y,$fot(meet(X_307,complement(sk1))))]]) ).
cnf(refute_0_7297,plain,
meet(X_307,complement(sk1)) = meet(complement(sk1),X_307),
inference(resolve,[$cnf( $equal(meet(complement(sk1),X_307),meet(X_307,complement(sk1))) )],[refute_0_7295,refute_0_7296]) ).
cnf(refute_0_7298,plain,
( meet(X_307,complement(sk1)) != meet(complement(sk1),X_307)
| meet(sk1,meet(X_307,complement(sk1))) != zero
| meet(sk1,meet(complement(sk1),X_307)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,meet(X_307,complement(sk1))),zero) ),[0,1],$fot(meet(complement(sk1),X_307))]]) ).
cnf(refute_0_7299,plain,
( meet(sk1,meet(X_307,complement(sk1))) != zero
| meet(sk1,meet(complement(sk1),X_307)) = zero ),
inference(resolve,[$cnf( $equal(meet(X_307,complement(sk1)),meet(complement(sk1),X_307)) )],[refute_0_7297,refute_0_7298]) ).
cnf(refute_0_7300,plain,
meet(sk1,meet(complement(sk1),X_307)) = zero,
inference(resolve,[$cnf( $equal(meet(sk1,meet(X_307,complement(sk1))),zero) )],[refute_0_7294,refute_0_7299]) ).
cnf(refute_0_7301,plain,
meet(sk1,meet(complement(sk1),X_308)) = zero,
inference(subst,[],[refute_0_7300:[bind(X_307,$fot(X_308))]]) ).
cnf(refute_0_7302,plain,
( meet(sk1,meet(complement(sk1),X_308)) != zero
| sk1 != join(meet(sk1,meet(complement(sk1),X_308)),meet(complement(meet(complement(sk1),X_308)),sk1))
| sk1 = join(zero,meet(complement(meet(complement(sk1),X_308)),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,join(meet(sk1,meet(complement(sk1),X_308)),meet(complement(meet(complement(sk1),X_308)),sk1))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7303,plain,
( sk1 != join(meet(sk1,meet(complement(sk1),X_308)),meet(complement(meet(complement(sk1),X_308)),sk1))
| sk1 = join(zero,meet(complement(meet(complement(sk1),X_308)),sk1)) ),
inference(resolve,[$cnf( $equal(meet(sk1,meet(complement(sk1),X_308)),zero) )],[refute_0_7301,refute_0_7302]) ).
cnf(refute_0_7304,plain,
sk1 = join(zero,meet(complement(meet(complement(sk1),X_308)),sk1)),
inference(resolve,[$cnf( $equal(sk1,join(meet(sk1,meet(complement(sk1),X_308)),meet(complement(meet(complement(sk1),X_308)),sk1))) )],[refute_0_7241,refute_0_7303]) ).
cnf(refute_0_7305,plain,
meet(complement(meet(complement(sk1),X_308)),sk1) = meet(sk1,complement(meet(complement(sk1),X_308))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(sk1)),bind(X_7,$fot(complement(meet(complement(sk1),X_308))))]]) ).
cnf(refute_0_7306,plain,
join(zero,meet(complement(meet(complement(sk1),X_308)),sk1)) = meet(complement(meet(complement(sk1),X_308)),sk1),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(meet(complement(meet(complement(sk1),X_308)),sk1)))]]) ).
cnf(refute_0_7307,plain,
( join(zero,meet(complement(meet(complement(sk1),X_308)),sk1)) != meet(complement(meet(complement(sk1),X_308)),sk1)
| meet(complement(meet(complement(sk1),X_308)),sk1) != meet(sk1,complement(meet(complement(sk1),X_308)))
| join(zero,meet(complement(meet(complement(sk1),X_308)),sk1)) = meet(sk1,complement(meet(complement(sk1),X_308))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,meet(complement(meet(complement(sk1),X_308)),sk1)))),bind(Y,$fot(meet(complement(meet(complement(sk1),X_308)),sk1))),bind(Z,$fot(meet(sk1,complement(meet(complement(sk1),X_308)))))]]) ).
cnf(refute_0_7308,plain,
( meet(complement(meet(complement(sk1),X_308)),sk1) != meet(sk1,complement(meet(complement(sk1),X_308)))
| join(zero,meet(complement(meet(complement(sk1),X_308)),sk1)) = meet(sk1,complement(meet(complement(sk1),X_308))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(complement(sk1),X_308)),sk1)),meet(complement(meet(complement(sk1),X_308)),sk1)) )],[refute_0_7306,refute_0_7307]) ).
cnf(refute_0_7309,plain,
join(zero,meet(complement(meet(complement(sk1),X_308)),sk1)) = meet(sk1,complement(meet(complement(sk1),X_308))),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(sk1),X_308)),sk1),meet(sk1,complement(meet(complement(sk1),X_308)))) )],[refute_0_7305,refute_0_7308]) ).
cnf(refute_0_7310,plain,
( join(zero,meet(complement(meet(complement(sk1),X_308)),sk1)) != meet(sk1,complement(meet(complement(sk1),X_308)))
| sk1 != join(zero,meet(complement(meet(complement(sk1),X_308)),sk1))
| sk1 = meet(sk1,complement(meet(complement(sk1),X_308))) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,join(zero,meet(complement(meet(complement(sk1),X_308)),sk1))) ),[1],$fot(meet(sk1,complement(meet(complement(sk1),X_308))))]]) ).
cnf(refute_0_7311,plain,
( sk1 != join(zero,meet(complement(meet(complement(sk1),X_308)),sk1))
| sk1 = meet(sk1,complement(meet(complement(sk1),X_308))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(complement(sk1),X_308)),sk1)),meet(sk1,complement(meet(complement(sk1),X_308)))) )],[refute_0_7309,refute_0_7310]) ).
cnf(refute_0_7312,plain,
sk1 = meet(sk1,complement(meet(complement(sk1),X_308))),
inference(resolve,[$cnf( $equal(sk1,join(zero,meet(complement(meet(complement(sk1),X_308)),sk1))) )],[refute_0_7304,refute_0_7311]) ).
cnf(refute_0_7313,plain,
( sk1 != meet(sk1,complement(meet(complement(sk1),X_308)))
| meet(sk1,complement(meet(complement(sk1),X_308))) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(meet(sk1,complement(meet(complement(sk1),X_308)))))]]) ).
cnf(refute_0_7314,plain,
meet(sk1,complement(meet(complement(sk1),X_308))) = sk1,
inference(resolve,[$cnf( $equal(sk1,meet(sk1,complement(meet(complement(sk1),X_308)))) )],[refute_0_7312,refute_0_7313]) ).
cnf(refute_0_7315,plain,
meet(sk1,complement(meet(complement(sk1),composition(top,sk1)))) = sk1,
inference(subst,[],[refute_0_7314:[bind(X_308,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_7316,plain,
meet(complement(meet(complement(sk1),composition(top,sk1))),sk1) = meet(sk1,complement(meet(complement(sk1),composition(top,sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(sk1)),bind(X_7,$fot(complement(meet(complement(sk1),composition(top,sk1)))))]]) ).
cnf(refute_0_7317,plain,
( meet(complement(meet(complement(sk1),composition(top,sk1))),sk1) != meet(sk1,complement(meet(complement(sk1),composition(top,sk1))))
| meet(sk1,complement(meet(complement(sk1),composition(top,sk1)))) != sk1
| meet(complement(meet(complement(sk1),composition(top,sk1))),sk1) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(meet(complement(sk1),composition(top,sk1))),sk1))),bind(Y,$fot(meet(sk1,complement(meet(complement(sk1),composition(top,sk1)))))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_7318,plain,
( meet(sk1,complement(meet(complement(sk1),composition(top,sk1)))) != sk1
| meet(complement(meet(complement(sk1),composition(top,sk1))),sk1) = sk1 ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(sk1),composition(top,sk1))),sk1),meet(sk1,complement(meet(complement(sk1),composition(top,sk1))))) )],[refute_0_7316,refute_0_7317]) ).
cnf(refute_0_7319,plain,
meet(complement(meet(complement(sk1),composition(top,sk1))),sk1) = sk1,
inference(resolve,[$cnf( $equal(meet(sk1,complement(meet(complement(sk1),composition(top,sk1)))),sk1) )],[refute_0_7315,refute_0_7318]) ).
cnf(refute_0_7320,plain,
join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)) = join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)),
introduced(tautology,[refl,[$fot(join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)))]]) ).
cnf(refute_0_7321,plain,
( join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)) != join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1))
| meet(complement(meet(complement(sk1),composition(top,sk1))),sk1) != sk1
| join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)) = join(complement(composition(top,sk1)),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)),join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1))) ),[1,1],$fot(sk1)]]) ).
cnf(refute_0_7322,plain,
( meet(complement(meet(complement(sk1),composition(top,sk1))),sk1) != sk1
| join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)) = join(complement(composition(top,sk1)),sk1) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)),join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1))) )],[refute_0_7320,refute_0_7321]) ).
cnf(refute_0_7323,plain,
join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)) = join(complement(composition(top,sk1)),sk1),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(sk1),composition(top,sk1))),sk1),sk1) )],[refute_0_7319,refute_0_7322]) ).
cnf(refute_0_7324,plain,
( join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)) != join(complement(composition(top,sk1)),sk1)
| join(complement(composition(top,sk1)),sk1) != complement(composition(complement(converse(sk1)),sk1))
| join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)))),bind(Y,$fot(join(complement(composition(top,sk1)),sk1))),bind(Z,$fot(complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_7325,plain,
( join(complement(composition(top,sk1)),sk1) != complement(composition(complement(converse(sk1)),sk1))
| join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)),join(complement(composition(top,sk1)),sk1)) )],[refute_0_7323,refute_0_7324]) ).
cnf(refute_0_7326,plain,
join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)) = complement(composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk1)),sk1),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7240,refute_0_7325]) ).
cnf(refute_0_7327,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1))
| join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)) != complement(composition(complement(converse(sk1)),sk1))
| complement(meet(complement(sk1),composition(top,sk1))) = complement(composition(complement(converse(sk1)),sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(complement(sk1),composition(top,sk1))),complement(composition(complement(converse(sk1)),sk1))) ),[0],$fot(join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)))]]) ).
cnf(refute_0_7328,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1))
| complement(meet(complement(sk1),composition(top,sk1))) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1)),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7326,refute_0_7327]) ).
cnf(refute_0_7329,plain,
complement(meet(complement(sk1),composition(top,sk1))) = complement(composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk1),composition(top,sk1))),join(complement(composition(top,sk1)),meet(complement(meet(complement(sk1),composition(top,sk1))),sk1))) )],[refute_0_7195,refute_0_7328]) ).
cnf(refute_0_7330,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != complement(composition(complement(converse(sk1)),sk1))
| complement(meet(complement(sk1),composition(top,sk1))) != join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))
| complement(composition(complement(converse(sk1)),sk1)) = join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(sk1),composition(top,sk1))),join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))) ),[0],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_7331,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))
| complement(composition(complement(converse(sk1)),sk1)) = join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk1),composition(top,sk1))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7329,refute_0_7330]) ).
cnf(refute_0_7332,plain,
join(complement(join(one,composition(top,sk1))),one) = join(one,complement(join(one,composition(top,sk1)))),
inference(subst,[],[refute_0_1401:[bind(A,$fot(complement(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_7333,plain,
meet(one,complement(composition(converse(X_60),complement(X_60)))) = complement(join(complement(one),composition(converse(X_60),complement(X_60)))),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(one)),bind(X_281,$fot(composition(converse(X_60),complement(X_60))))]]) ).
cnf(refute_0_7334,plain,
( join(complement(one),composition(converse(X_60),complement(X_60))) != complement(one)
| meet(one,complement(composition(converse(X_60),complement(X_60)))) != complement(join(complement(one),composition(converse(X_60),complement(X_60))))
| meet(one,complement(composition(converse(X_60),complement(X_60)))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(converse(X_60),complement(X_60)))),complement(join(complement(one),composition(converse(X_60),complement(X_60))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_7335,plain,
( meet(one,complement(composition(converse(X_60),complement(X_60)))) != complement(join(complement(one),composition(converse(X_60),complement(X_60))))
| meet(one,complement(composition(converse(X_60),complement(X_60)))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_60),complement(X_60))),complement(one)) )],[refute_0_1663,refute_0_7334]) ).
cnf(refute_0_7336,plain,
meet(one,complement(composition(converse(X_60),complement(X_60)))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(converse(X_60),complement(X_60)))),complement(join(complement(one),composition(converse(X_60),complement(X_60))))) )],[refute_0_7333,refute_0_7335]) ).
cnf(refute_0_7337,plain,
( complement(complement(one)) != one
| meet(one,complement(composition(converse(X_60),complement(X_60)))) != complement(complement(one))
| meet(one,complement(composition(converse(X_60),complement(X_60)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(converse(X_60),complement(X_60)))),complement(complement(one))) ),[1],$fot(one)]]) ).
cnf(refute_0_7338,plain,
( meet(one,complement(composition(converse(X_60),complement(X_60)))) != complement(complement(one))
| meet(one,complement(composition(converse(X_60),complement(X_60)))) = one ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3123,refute_0_7337]) ).
cnf(refute_0_7339,plain,
meet(one,complement(composition(converse(X_60),complement(X_60)))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(converse(X_60),complement(X_60)))),complement(complement(one))) )],[refute_0_7336,refute_0_7338]) ).
cnf(refute_0_7340,plain,
meet(one,complement(composition(converse(complement(sk1)),complement(complement(sk1))))) = one,
inference(subst,[],[refute_0_7339:[bind(X_60,$fot(complement(sk1)))]]) ).
cnf(refute_0_7341,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| meet(one,complement(composition(converse(complement(sk1)),complement(complement(sk1))))) != one
| meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(converse(complement(sk1)),complement(complement(sk1))))),one) ),[0,1,0,0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_7342,plain,
( meet(one,complement(composition(converse(complement(sk1)),complement(complement(sk1))))) != one
| meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))) = one ),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_4366,refute_0_7341]) ).
cnf(refute_0_7343,plain,
meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(converse(complement(sk1)),complement(complement(sk1))))),one) )],[refute_0_7340,refute_0_7342]) ).
cnf(refute_0_7344,plain,
complement(composition(complement(converse(sk1)),complement(complement(sk1)))) = complement(composition(complement(converse(sk1)),complement(complement(sk1)))),
introduced(tautology,[refl,[$fot(complement(composition(complement(converse(sk1)),complement(complement(sk1)))))]]) ).
cnf(refute_0_7345,plain,
( complement(composition(complement(converse(sk1)),complement(complement(sk1)))) != complement(composition(complement(converse(sk1)),complement(complement(sk1))))
| composition(complement(converse(sk1)),complement(complement(sk1))) != composition(complement(converse(sk1)),sk1)
| complement(composition(complement(converse(sk1)),complement(complement(sk1)))) = complement(composition(complement(converse(sk1)),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(sk1)),complement(complement(sk1)))),complement(composition(complement(converse(sk1)),complement(complement(sk1))))) ),[1,0],$fot(composition(complement(converse(sk1)),sk1))]]) ).
cnf(refute_0_7346,plain,
( composition(complement(converse(sk1)),complement(complement(sk1))) != composition(complement(converse(sk1)),sk1)
| complement(composition(complement(converse(sk1)),complement(complement(sk1)))) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(sk1)),complement(complement(sk1)))),complement(composition(complement(converse(sk1)),complement(complement(sk1))))) )],[refute_0_7344,refute_0_7345]) ).
cnf(refute_0_7347,plain,
complement(composition(complement(converse(sk1)),complement(complement(sk1)))) = complement(composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(composition(complement(converse(sk1)),complement(complement(sk1))),composition(complement(converse(sk1)),sk1)) )],[refute_0_6360,refute_0_7346]) ).
cnf(refute_0_7348,plain,
meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))) = meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))),
introduced(tautology,[refl,[$fot(meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))))]]) ).
cnf(refute_0_7349,plain,
( complement(composition(complement(converse(sk1)),complement(complement(sk1)))) != complement(composition(complement(converse(sk1)),sk1))
| meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))) != meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1)))))
| meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))) = meet(one,complement(composition(complement(converse(sk1)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))),meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1)))))) ),[1,1],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_7350,plain,
( complement(composition(complement(converse(sk1)),complement(complement(sk1)))) != complement(composition(complement(converse(sk1)),sk1))
| meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))) = meet(one,complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))),meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1)))))) )],[refute_0_7348,refute_0_7349]) ).
cnf(refute_0_7351,plain,
meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))) = meet(one,complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(sk1)),complement(complement(sk1)))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7347,refute_0_7350]) ).
cnf(refute_0_7352,plain,
( meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))) != meet(one,complement(composition(complement(converse(sk1)),sk1)))
| meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))) != one
| meet(one,complement(composition(complement(converse(sk1)),sk1))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))),one) ),[0],$fot(meet(one,complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_7353,plain,
( meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))) != one
| meet(one,complement(composition(complement(converse(sk1)),sk1))) = one ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))),meet(one,complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_7351,refute_0_7352]) ).
cnf(refute_0_7354,plain,
meet(one,complement(composition(complement(converse(sk1)),sk1))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(converse(sk1)),complement(complement(sk1))))),one) )],[refute_0_7343,refute_0_7353]) ).
cnf(refute_0_7355,plain,
meet(one,complement(meet(complement(sk1),composition(top,sk1)))) = meet(one,complement(meet(complement(sk1),composition(top,sk1)))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(complement(sk1),composition(top,sk1)))))]]) ).
cnf(refute_0_7356,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != complement(composition(complement(converse(sk1)),sk1))
| meet(one,complement(meet(complement(sk1),composition(top,sk1)))) != meet(one,complement(meet(complement(sk1),composition(top,sk1))))
| meet(one,complement(meet(complement(sk1),composition(top,sk1)))) = meet(one,complement(composition(complement(converse(sk1)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(complement(sk1),composition(top,sk1)))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) ),[1,1],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_7357,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != complement(composition(complement(converse(sk1)),sk1))
| meet(one,complement(meet(complement(sk1),composition(top,sk1)))) = meet(one,complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(complement(sk1),composition(top,sk1)))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) )],[refute_0_7355,refute_0_7356]) ).
cnf(refute_0_7358,plain,
meet(one,complement(meet(complement(sk1),composition(top,sk1)))) = meet(one,complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk1),composition(top,sk1))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7329,refute_0_7357]) ).
cnf(refute_0_7359,plain,
( meet(one,complement(composition(complement(converse(sk1)),sk1))) != one
| meet(one,complement(meet(complement(sk1),composition(top,sk1)))) != meet(one,complement(composition(complement(converse(sk1)),sk1)))
| meet(one,complement(meet(complement(sk1),composition(top,sk1)))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(one,complement(meet(complement(sk1),composition(top,sk1)))))),bind(Y,$fot(meet(one,complement(composition(complement(converse(sk1)),sk1))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_7360,plain,
( meet(one,complement(composition(complement(converse(sk1)),sk1))) != one
| meet(one,complement(meet(complement(sk1),composition(top,sk1)))) = one ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(complement(sk1),composition(top,sk1)))),meet(one,complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_7358,refute_0_7359]) ).
cnf(refute_0_7361,plain,
meet(one,complement(meet(complement(sk1),composition(top,sk1)))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(converse(sk1)),sk1))),one) )],[refute_0_7354,refute_0_7360]) ).
cnf(refute_0_7362,plain,
join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) = join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))),
introduced(tautology,[refl,[$fot(join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))))]]) ).
cnf(refute_0_7363,plain,
( join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) != join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))
| meet(one,complement(meet(complement(sk1),composition(top,sk1)))) != one
| join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) = join(complement(join(one,composition(top,sk1))),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))),join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_7364,plain,
( meet(one,complement(meet(complement(sk1),composition(top,sk1)))) != one
| join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) = join(complement(join(one,composition(top,sk1))),one) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))),join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))) )],[refute_0_7362,refute_0_7363]) ).
cnf(refute_0_7365,plain,
join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) = join(complement(join(one,composition(top,sk1))),one),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(complement(sk1),composition(top,sk1)))),one) )],[refute_0_7361,refute_0_7364]) ).
cnf(refute_0_7366,plain,
( join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) != join(complement(join(one,composition(top,sk1))),one)
| join(complement(join(one,composition(top,sk1))),one) != join(one,complement(join(one,composition(top,sk1))))
| join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) = join(one,complement(join(one,composition(top,sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))))),bind(Y,$fot(join(complement(join(one,composition(top,sk1))),one))),bind(Z,$fot(join(one,complement(join(one,composition(top,sk1))))))]]) ).
cnf(refute_0_7367,plain,
( join(complement(join(one,composition(top,sk1))),one) != join(one,complement(join(one,composition(top,sk1))))
| join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) = join(one,complement(join(one,composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))),join(complement(join(one,composition(top,sk1))),one)) )],[refute_0_7365,refute_0_7366]) ).
cnf(refute_0_7368,plain,
join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) = join(one,complement(join(one,composition(top,sk1)))),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(top,sk1))),one),join(one,complement(join(one,composition(top,sk1))))) )],[refute_0_7332,refute_0_7367]) ).
cnf(refute_0_7369,plain,
( complement(composition(complement(converse(sk1)),sk1)) != join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))
| join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))) != join(one,complement(join(one,composition(top,sk1))))
| complement(composition(complement(converse(sk1)),sk1)) = join(one,complement(join(one,composition(top,sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(converse(sk1)),sk1)),join(one,complement(join(one,composition(top,sk1))))) ),[0],$fot(join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))))]]) ).
cnf(refute_0_7370,plain,
( complement(composition(complement(converse(sk1)),sk1)) != join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))
| complement(composition(complement(converse(sk1)),sk1)) = join(one,complement(join(one,composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1))))),join(one,complement(join(one,composition(top,sk1))))) )],[refute_0_7368,refute_0_7369]) ).
cnf(refute_0_7371,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))
| complement(composition(complement(converse(sk1)),sk1)) = join(one,complement(join(one,composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))) )],[refute_0_7331,refute_0_7370]) ).
cnf(refute_0_7372,plain,
complement(composition(complement(converse(sk1)),sk1)) = join(one,complement(join(one,composition(top,sk1)))),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk1),composition(top,sk1))),join(complement(join(one,composition(top,sk1))),meet(one,complement(meet(complement(sk1),composition(top,sk1)))))) )],[refute_0_7191,refute_0_7371]) ).
cnf(refute_0_7373,plain,
( complement(composition(complement(converse(sk1)),sk1)) != join(one,complement(join(one,composition(top,sk1))))
| join(one,complement(join(one,composition(top,sk1)))) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(complement(converse(sk1)),sk1)))),bind(Y,$fot(join(one,complement(join(one,composition(top,sk1))))))]]) ).
cnf(refute_0_7374,plain,
join(one,complement(join(one,composition(top,sk1)))) = complement(composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),join(one,complement(join(one,composition(top,sk1))))) )],[refute_0_7372,refute_0_7373]) ).
cnf(refute_0_7375,plain,
( converse(sk1) != meet(converse(sk1),converse(join(one,complement(join(one,composition(top,sk1))))))
| join(one,complement(join(one,composition(top,sk1)))) != complement(composition(complement(converse(sk1)),sk1))
| converse(sk1) = meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(join(one,complement(join(one,composition(top,sk1))))))) ),[1,1,0],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_7376,plain,
( converse(sk1) != meet(converse(sk1),converse(join(one,complement(join(one,composition(top,sk1))))))
| converse(sk1) = meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(top,sk1)))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7374,refute_0_7375]) ).
cnf(refute_0_7377,plain,
converse(sk1) = meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(join(one,complement(join(one,composition(top,sk1))))))) )],[refute_0_5835,refute_0_7376]) ).
cnf(refute_0_7378,plain,
( converse(sk1) != meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1))))
| meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_7379,plain,
meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_7377,refute_0_7378]) ).
cnf(refute_0_7380,plain,
( converse(complement(composition(complement(converse(sk1)),sk1))) != join(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))
| meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(sk1)
| converse(complement(composition(complement(converse(sk1)),sk1))) = join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(complement(converse(sk1)),sk1))),join(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_7381,plain,
( converse(complement(composition(complement(converse(sk1)),sk1))) != join(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))
| converse(complement(composition(complement(converse(sk1)),sk1))) = join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)) )],[refute_0_7379,refute_0_7380]) ).
cnf(refute_0_7382,plain,
converse(complement(composition(complement(converse(sk1)),sk1))) = join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(converse(sk1)),sk1))),join(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_5830,refute_0_7381]) ).
cnf(refute_0_7383,plain,
( converse(complement(composition(complement(converse(sk1)),sk1))) != join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))
| join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(composition(complement(converse(sk1)),sk1))))),bind(Y,$fot(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7384,plain,
join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) = converse(complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(converse(sk1)),sk1))),join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_7382,refute_0_7383]) ).
cnf(refute_0_7385,plain,
( complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) != meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))))
| join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) = meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))))) ),[1,1,1,0],$fot(converse(complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_7386,plain,
( complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) != meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))))
| complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) = meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),converse(complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_7384,refute_0_7385]) ).
cnf(refute_0_7387,plain,
complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) = meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_5829,refute_0_7386]) ).
cnf(refute_0_7388,plain,
complement(converse(complement(composition(top,sk1)))) = meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),bind(X_97,$fot(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7389,plain,
complement(converse(sk1)) = join(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))),
inference(subst,[],[refute_0_4629:[bind(X_117,$fot(complement(converse(sk1)))),bind(X_348,$fot(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7390,plain,
converse(complement(composition(top,sk1))) = meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),meet(converse(sk1),converse(complement(composition(top,sk1)))))),
inference(subst,[],[refute_0_3497:[bind(X_22,$fot(converse(sk1))),bind(X_97,$fot(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7391,plain,
meet(X_298,complement(join(X_40,complement(complement(X_298))))) = complement(join(complement(X_298),join(X_40,complement(complement(X_298))))),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(X_298)),bind(X_281,$fot(join(X_40,complement(complement(X_298)))))]]) ).
cnf(refute_0_7392,plain,
( join(X_39,join(X_40,complement(X_39))) != join(top,X_40)
| join(top,X_40) != top
| join(X_39,join(X_40,complement(X_39))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_39,join(X_40,complement(X_39))),top) ),[0],$fot(join(top,X_40))]]) ).
cnf(refute_0_7393,plain,
( join(X_39,join(X_40,complement(X_39))) != join(top,X_40)
| join(X_39,join(X_40,complement(X_39))) = top ),
inference(resolve,[$cnf( $equal(join(top,X_40),top) )],[refute_0_4903,refute_0_7392]) ).
cnf(refute_0_7394,plain,
join(X_39,join(X_40,complement(X_39))) = top,
inference(resolve,[$cnf( $equal(join(X_39,join(X_40,complement(X_39))),join(top,X_40)) )],[refute_0_309,refute_0_7393]) ).
cnf(refute_0_7395,plain,
join(complement(X_298),join(X_40,complement(complement(X_298)))) = top,
inference(subst,[],[refute_0_7394:[bind(X_39,$fot(complement(X_298)))]]) ).
cnf(refute_0_7396,plain,
( join(complement(X_298),join(X_40,complement(complement(X_298)))) != top
| meet(X_298,complement(join(X_40,complement(complement(X_298))))) != complement(join(complement(X_298),join(X_40,complement(complement(X_298)))))
| meet(X_298,complement(join(X_40,complement(complement(X_298))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_298,complement(join(X_40,complement(complement(X_298))))),complement(join(complement(X_298),join(X_40,complement(complement(X_298)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_7397,plain,
( meet(X_298,complement(join(X_40,complement(complement(X_298))))) != complement(join(complement(X_298),join(X_40,complement(complement(X_298)))))
| meet(X_298,complement(join(X_40,complement(complement(X_298))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_298),join(X_40,complement(complement(X_298)))),top) )],[refute_0_7395,refute_0_7396]) ).
cnf(refute_0_7398,plain,
meet(X_298,complement(join(X_40,complement(complement(X_298))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_298,complement(join(X_40,complement(complement(X_298))))),complement(join(complement(X_298),join(X_40,complement(complement(X_298)))))) )],[refute_0_7391,refute_0_7397]) ).
cnf(refute_0_7399,plain,
complement(complement(X_298)) = X_298,
inference(subst,[],[refute_0_623:[bind(X_97,$fot(X_298))]]) ).
cnf(refute_0_7400,plain,
join(X_40,complement(complement(X_298))) = join(X_40,complement(complement(X_298))),
introduced(tautology,[refl,[$fot(join(X_40,complement(complement(X_298))))]]) ).
cnf(refute_0_7401,plain,
( complement(complement(X_298)) != X_298
| join(X_40,complement(complement(X_298))) != join(X_40,complement(complement(X_298)))
| join(X_40,complement(complement(X_298))) = join(X_40,X_298) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_40,complement(complement(X_298))),join(X_40,complement(complement(X_298)))) ),[1,1],$fot(X_298)]]) ).
cnf(refute_0_7402,plain,
( complement(complement(X_298)) != X_298
| join(X_40,complement(complement(X_298))) = join(X_40,X_298) ),
inference(resolve,[$cnf( $equal(join(X_40,complement(complement(X_298))),join(X_40,complement(complement(X_298)))) )],[refute_0_7400,refute_0_7401]) ).
cnf(refute_0_7403,plain,
join(X_40,complement(complement(X_298))) = join(X_40,X_298),
inference(resolve,[$cnf( $equal(complement(complement(X_298)),X_298) )],[refute_0_7399,refute_0_7402]) ).
cnf(refute_0_7404,plain,
complement(join(X_40,complement(complement(X_298)))) = complement(join(X_40,complement(complement(X_298)))),
introduced(tautology,[refl,[$fot(complement(join(X_40,complement(complement(X_298)))))]]) ).
cnf(refute_0_7405,plain,
( complement(join(X_40,complement(complement(X_298)))) != complement(join(X_40,complement(complement(X_298))))
| join(X_40,complement(complement(X_298))) != join(X_40,X_298)
| complement(join(X_40,complement(complement(X_298)))) = complement(join(X_40,X_298)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_40,complement(complement(X_298)))),complement(join(X_40,complement(complement(X_298))))) ),[1,0],$fot(join(X_40,X_298))]]) ).
cnf(refute_0_7406,plain,
( join(X_40,complement(complement(X_298))) != join(X_40,X_298)
| complement(join(X_40,complement(complement(X_298)))) = complement(join(X_40,X_298)) ),
inference(resolve,[$cnf( $equal(complement(join(X_40,complement(complement(X_298)))),complement(join(X_40,complement(complement(X_298))))) )],[refute_0_7404,refute_0_7405]) ).
cnf(refute_0_7407,plain,
complement(join(X_40,complement(complement(X_298)))) = complement(join(X_40,X_298)),
inference(resolve,[$cnf( $equal(join(X_40,complement(complement(X_298))),join(X_40,X_298)) )],[refute_0_7403,refute_0_7406]) ).
cnf(refute_0_7408,plain,
meet(X_298,complement(join(X_40,complement(complement(X_298))))) = meet(X_298,complement(join(X_40,complement(complement(X_298))))),
introduced(tautology,[refl,[$fot(meet(X_298,complement(join(X_40,complement(complement(X_298))))))]]) ).
cnf(refute_0_7409,plain,
( complement(join(X_40,complement(complement(X_298)))) != complement(join(X_40,X_298))
| meet(X_298,complement(join(X_40,complement(complement(X_298))))) != meet(X_298,complement(join(X_40,complement(complement(X_298)))))
| meet(X_298,complement(join(X_40,complement(complement(X_298))))) = meet(X_298,complement(join(X_40,X_298))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_298,complement(join(X_40,complement(complement(X_298))))),meet(X_298,complement(join(X_40,complement(complement(X_298)))))) ),[1,1],$fot(complement(join(X_40,X_298)))]]) ).
cnf(refute_0_7410,plain,
( complement(join(X_40,complement(complement(X_298)))) != complement(join(X_40,X_298))
| meet(X_298,complement(join(X_40,complement(complement(X_298))))) = meet(X_298,complement(join(X_40,X_298))) ),
inference(resolve,[$cnf( $equal(meet(X_298,complement(join(X_40,complement(complement(X_298))))),meet(X_298,complement(join(X_40,complement(complement(X_298)))))) )],[refute_0_7408,refute_0_7409]) ).
cnf(refute_0_7411,plain,
meet(X_298,complement(join(X_40,complement(complement(X_298))))) = meet(X_298,complement(join(X_40,X_298))),
inference(resolve,[$cnf( $equal(complement(join(X_40,complement(complement(X_298)))),complement(join(X_40,X_298))) )],[refute_0_7407,refute_0_7410]) ).
cnf(refute_0_7412,plain,
( meet(X_298,complement(join(X_40,complement(complement(X_298))))) != complement(top)
| meet(X_298,complement(join(X_40,complement(complement(X_298))))) != meet(X_298,complement(join(X_40,X_298)))
| meet(X_298,complement(join(X_40,X_298))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_298,complement(join(X_40,complement(complement(X_298))))),complement(top)) ),[0],$fot(meet(X_298,complement(join(X_40,X_298))))]]) ).
cnf(refute_0_7413,plain,
( meet(X_298,complement(join(X_40,complement(complement(X_298))))) != complement(top)
| meet(X_298,complement(join(X_40,X_298))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_298,complement(join(X_40,complement(complement(X_298))))),meet(X_298,complement(join(X_40,X_298)))) )],[refute_0_7411,refute_0_7412]) ).
cnf(refute_0_7414,plain,
( complement(top) != zero
| meet(X_298,complement(join(X_40,X_298))) != complement(top)
| meet(X_298,complement(join(X_40,X_298))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_298,complement(join(X_40,X_298))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_7415,plain,
( meet(X_298,complement(join(X_40,X_298))) != complement(top)
| meet(X_298,complement(join(X_40,X_298))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_7414]) ).
cnf(refute_0_7416,plain,
( meet(X_298,complement(join(X_40,complement(complement(X_298))))) != complement(top)
| meet(X_298,complement(join(X_40,X_298))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_298,complement(join(X_40,X_298))),complement(top)) )],[refute_0_7413,refute_0_7415]) ).
cnf(refute_0_7417,plain,
meet(X_298,complement(join(X_40,X_298))) = zero,
inference(resolve,[$cnf( $equal(meet(X_298,complement(join(X_40,complement(complement(X_298))))),complement(top)) )],[refute_0_7398,refute_0_7416]) ).
cnf(refute_0_7418,plain,
meet(meet(complement(X_370),X_369),complement(join(complement(join(X_369,X_370)),meet(complement(X_370),X_369)))) = zero,
inference(subst,[],[refute_0_7417:[bind(X_298,$fot(meet(complement(X_370),X_369))),bind(X_40,$fot(complement(join(X_369,X_370))))]]) ).
cnf(refute_0_7419,plain,
complement(X_370) = join(complement(join(X_369,X_370)),meet(complement(X_370),X_369)),
inference(subst,[],[refute_0_3237:[bind(X_259,$fot(X_369)),bind(X_97,$fot(X_370))]]) ).
cnf(refute_0_7420,plain,
( complement(X_370) != join(complement(join(X_369,X_370)),meet(complement(X_370),X_369))
| join(complement(join(X_369,X_370)),meet(complement(X_370),X_369)) = complement(X_370) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_370))),bind(Y,$fot(join(complement(join(X_369,X_370)),meet(complement(X_370),X_369))))]]) ).
cnf(refute_0_7421,plain,
join(complement(join(X_369,X_370)),meet(complement(X_370),X_369)) = complement(X_370),
inference(resolve,[$cnf( $equal(complement(X_370),join(complement(join(X_369,X_370)),meet(complement(X_370),X_369))) )],[refute_0_7419,refute_0_7420]) ).
cnf(refute_0_7422,plain,
( join(complement(join(X_369,X_370)),meet(complement(X_370),X_369)) != complement(X_370)
| meet(meet(complement(X_370),X_369),complement(join(complement(join(X_369,X_370)),meet(complement(X_370),X_369)))) != zero
| meet(meet(complement(X_370),X_369),complement(complement(X_370))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(X_370),X_369),complement(join(complement(join(X_369,X_370)),meet(complement(X_370),X_369)))),zero) ),[0,1,0],$fot(complement(X_370))]]) ).
cnf(refute_0_7423,plain,
( meet(meet(complement(X_370),X_369),complement(join(complement(join(X_369,X_370)),meet(complement(X_370),X_369)))) != zero
| meet(meet(complement(X_370),X_369),complement(complement(X_370))) = zero ),
inference(resolve,[$cnf( $equal(join(complement(join(X_369,X_370)),meet(complement(X_370),X_369)),complement(X_370)) )],[refute_0_7421,refute_0_7422]) ).
cnf(refute_0_7424,plain,
meet(meet(complement(X_370),X_369),complement(complement(X_370))) = zero,
inference(resolve,[$cnf( $equal(meet(meet(complement(X_370),X_369),complement(join(complement(join(X_369,X_370)),meet(complement(X_370),X_369)))),zero) )],[refute_0_7418,refute_0_7423]) ).
cnf(refute_0_7425,plain,
complement(complement(X_370)) = X_370,
inference(subst,[],[refute_0_623:[bind(X_97,$fot(X_370))]]) ).
cnf(refute_0_7426,plain,
meet(complement(complement(X_370)),meet(complement(X_370),X_369)) = meet(complement(complement(X_370)),meet(complement(X_370),X_369)),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_370)),meet(complement(X_370),X_369)))]]) ).
cnf(refute_0_7427,plain,
( complement(complement(X_370)) != X_370
| meet(complement(complement(X_370)),meet(complement(X_370),X_369)) != meet(complement(complement(X_370)),meet(complement(X_370),X_369))
| meet(complement(complement(X_370)),meet(complement(X_370),X_369)) = meet(X_370,meet(complement(X_370),X_369)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_370)),meet(complement(X_370),X_369)),meet(complement(complement(X_370)),meet(complement(X_370),X_369))) ),[1,0],$fot(X_370)]]) ).
cnf(refute_0_7428,plain,
( complement(complement(X_370)) != X_370
| meet(complement(complement(X_370)),meet(complement(X_370),X_369)) = meet(X_370,meet(complement(X_370),X_369)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_370)),meet(complement(X_370),X_369)),meet(complement(complement(X_370)),meet(complement(X_370),X_369))) )],[refute_0_7426,refute_0_7427]) ).
cnf(refute_0_7429,plain,
meet(complement(complement(X_370)),meet(complement(X_370),X_369)) = meet(X_370,meet(complement(X_370),X_369)),
inference(resolve,[$cnf( $equal(complement(complement(X_370)),X_370) )],[refute_0_7425,refute_0_7428]) ).
cnf(refute_0_7430,plain,
meet(meet(complement(X_370),X_369),complement(complement(X_370))) = meet(complement(complement(X_370)),meet(complement(X_370),X_369)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(complement(X_370)))),bind(X_7,$fot(meet(complement(X_370),X_369)))]]) ).
cnf(refute_0_7431,plain,
( meet(complement(complement(X_370)),meet(complement(X_370),X_369)) != meet(X_370,meet(complement(X_370),X_369))
| meet(meet(complement(X_370),X_369),complement(complement(X_370))) != meet(complement(complement(X_370)),meet(complement(X_370),X_369))
| meet(meet(complement(X_370),X_369),complement(complement(X_370))) = meet(X_370,meet(complement(X_370),X_369)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(meet(complement(X_370),X_369),complement(complement(X_370))))),bind(Y,$fot(meet(complement(complement(X_370)),meet(complement(X_370),X_369)))),bind(Z,$fot(meet(X_370,meet(complement(X_370),X_369))))]]) ).
cnf(refute_0_7432,plain,
( meet(complement(complement(X_370)),meet(complement(X_370),X_369)) != meet(X_370,meet(complement(X_370),X_369))
| meet(meet(complement(X_370),X_369),complement(complement(X_370))) = meet(X_370,meet(complement(X_370),X_369)) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_370),X_369),complement(complement(X_370))),meet(complement(complement(X_370)),meet(complement(X_370),X_369))) )],[refute_0_7430,refute_0_7431]) ).
cnf(refute_0_7433,plain,
meet(meet(complement(X_370),X_369),complement(complement(X_370))) = meet(X_370,meet(complement(X_370),X_369)),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_370)),meet(complement(X_370),X_369)),meet(X_370,meet(complement(X_370),X_369))) )],[refute_0_7429,refute_0_7432]) ).
cnf(refute_0_7434,plain,
( meet(meet(complement(X_370),X_369),complement(complement(X_370))) != meet(X_370,meet(complement(X_370),X_369))
| meet(meet(complement(X_370),X_369),complement(complement(X_370))) != zero
| meet(X_370,meet(complement(X_370),X_369)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(X_370),X_369),complement(complement(X_370))),zero) ),[0],$fot(meet(X_370,meet(complement(X_370),X_369)))]]) ).
cnf(refute_0_7435,plain,
( meet(meet(complement(X_370),X_369),complement(complement(X_370))) != zero
| meet(X_370,meet(complement(X_370),X_369)) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_370),X_369),complement(complement(X_370))),meet(X_370,meet(complement(X_370),X_369))) )],[refute_0_7433,refute_0_7434]) ).
cnf(refute_0_7436,plain,
meet(X_370,meet(complement(X_370),X_369)) = zero,
inference(resolve,[$cnf( $equal(meet(meet(complement(X_370),X_369),complement(complement(X_370))),zero) )],[refute_0_7424,refute_0_7435]) ).
cnf(refute_0_7437,plain,
meet(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) = zero,
inference(subst,[],[refute_0_7436:[bind(X_369,$fot(converse(complement(composition(complement(converse(sk1)),sk1))))),bind(X_370,$fot(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7438,plain,
complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(join(one,join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))),
inference(subst,[],[refute_0_5828:[bind(X_170,$fot(one)),bind(X_97,$fot(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7439,plain,
converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) = converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(one)),bind(X_12,$fot(join(X_79,converse(complement(converse(join(sk1,X_79)))))))]]) ).
cnf(refute_0_7440,plain,
top = join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))),
inference(subst,[],[refute_0_3759:[bind(X_78,$fot(X_79))]]) ).
cnf(refute_0_7441,plain,
( top != join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))
| join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))))]]) ).
cnf(refute_0_7442,plain,
join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))) )],[refute_0_7440,refute_0_7441]) ).
cnf(refute_0_7443,plain,
( converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) != converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))))
| join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))) != top
| converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)),converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_7444,plain,
( converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) != converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))))
| converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))),top) )],[refute_0_7442,refute_0_7443]) ).
cnf(refute_0_7445,plain,
converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)),converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))))) )],[refute_0_7439,refute_0_7444]) ).
cnf(refute_0_7446,plain,
join(converse(join(one,X_79)),complement(converse(join(sk1,X_79)))) = join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))),
inference(subst,[],[refute_0_1345:[bind(C,$fot(complement(converse(join(sk1,X_79))))),bind(X_58,$fot(X_79))]]) ).
cnf(refute_0_7447,plain,
converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))) = join(converse(join(one,X_79)),complement(converse(join(sk1,X_79)))),
inference(subst,[],[refute_0_1357:[bind(A,$fot(complement(converse(join(sk1,X_79))))),bind(X_31,$fot(one)),bind(X_32,$fot(X_79))]]) ).
cnf(refute_0_7448,plain,
( converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))) != join(converse(join(one,X_79)),complement(converse(join(sk1,X_79))))
| join(converse(join(one,X_79)),complement(converse(join(sk1,X_79)))) != join(one,join(converse(X_79),complement(converse(join(sk1,X_79)))))
| converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))) = join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))))),bind(Y,$fot(join(converse(join(one,X_79)),complement(converse(join(sk1,X_79)))))),bind(Z,$fot(join(one,join(converse(X_79),complement(converse(join(sk1,X_79)))))))]]) ).
cnf(refute_0_7449,plain,
( join(converse(join(one,X_79)),complement(converse(join(sk1,X_79)))) != join(one,join(converse(X_79),complement(converse(join(sk1,X_79)))))
| converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))) = join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))),join(converse(join(one,X_79)),complement(converse(join(sk1,X_79))))) )],[refute_0_7447,refute_0_7448]) ).
cnf(refute_0_7450,plain,
converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))) = join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))),
inference(resolve,[$cnf( $equal(join(converse(join(one,X_79)),complement(converse(join(sk1,X_79)))),join(one,join(converse(X_79),complement(converse(join(sk1,X_79)))))) )],[refute_0_7446,refute_0_7449]) ).
cnf(refute_0_7451,plain,
( converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) != converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))))
| converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))) != join(one,join(converse(X_79),complement(converse(join(sk1,X_79)))))
| converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) = join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)))),bind(Y,$fot(converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))))),bind(Z,$fot(join(one,join(converse(X_79),complement(converse(join(sk1,X_79)))))))]]) ).
cnf(refute_0_7452,plain,
( converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))) != join(one,join(converse(X_79),complement(converse(join(sk1,X_79)))))
| converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) = join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)),converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))))) )],[refute_0_7439,refute_0_7451]) ).
cnf(refute_0_7453,plain,
converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) = join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))),join(one,join(converse(X_79),complement(converse(join(sk1,X_79)))))) )],[refute_0_7450,refute_0_7452]) ).
cnf(refute_0_7454,plain,
( converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) != converse(top)
| converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) != join(one,join(converse(X_79),complement(converse(join(sk1,X_79)))))
| join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)),converse(top)) ),[0],$fot(join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))))]]) ).
cnf(refute_0_7455,plain,
( converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) != converse(top)
| join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)),join(one,join(converse(X_79),complement(converse(join(sk1,X_79)))))) )],[refute_0_7453,refute_0_7454]) ).
cnf(refute_0_7456,plain,
( converse(top) != top
| join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))) != converse(top)
| join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_7457,plain,
( join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))) != converse(top)
| join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_820,refute_0_7456]) ).
cnf(refute_0_7458,plain,
( converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)) != converse(top)
| join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))) = top ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))),converse(top)) )],[refute_0_7455,refute_0_7457]) ).
cnf(refute_0_7459,plain,
join(one,join(converse(X_79),complement(converse(join(sk1,X_79))))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one)),converse(top)) )],[refute_0_7445,refute_0_7458]) ).
cnf(refute_0_7460,plain,
join(one,join(converse(complement(composition(top,sk1))),complement(converse(join(sk1,complement(composition(top,sk1))))))) = top,
inference(subst,[],[refute_0_7459:[bind(X_79,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_7461,plain,
( join(one,join(converse(complement(composition(top,sk1))),complement(converse(join(sk1,complement(composition(top,sk1))))))) != top
| join(sk1,complement(composition(top,sk1))) != complement(composition(complement(converse(sk1)),sk1))
| join(one,join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(complement(composition(top,sk1))),complement(converse(join(sk1,complement(composition(top,sk1))))))),top) ),[0,1,1,0,0],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_7462,plain,
( join(one,join(converse(complement(composition(top,sk1))),complement(converse(join(sk1,complement(composition(top,sk1))))))) != top
| join(one,join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = top ),
inference(resolve,[$cnf( $equal(join(sk1,complement(composition(top,sk1))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7236,refute_0_7461]) ).
cnf(refute_0_7463,plain,
join(one,join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = top,
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(composition(top,sk1))),complement(converse(join(sk1,complement(composition(top,sk1))))))),top) )],[refute_0_7460,refute_0_7462]) ).
cnf(refute_0_7464,plain,
( complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(join(one,join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))
| join(one,join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != top
| complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(join(one,join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_7465,plain,
( complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(join(one,join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))
| complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),top) )],[refute_0_7463,refute_0_7464]) ).
cnf(refute_0_7466,plain,
complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(join(one,join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))) )],[refute_0_7438,refute_0_7465]) ).
cnf(refute_0_7467,plain,
meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(converse(complement(composition(top,sk1))))) = meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(converse(complement(composition(top,sk1)))))),bind(X_7,$fot(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_7468,plain,
complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(converse(complement(composition(top,sk1))))),
inference(subst,[],[refute_0_3735:[bind(X_298,$fot(converse(complement(composition(complement(converse(sk1)),sk1))))),bind(X_299,$fot(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7469,plain,
( complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(converse(complement(composition(top,sk1)))))
| meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(converse(complement(composition(top,sk1))))) != meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))
| complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Y,$fot(meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(converse(complement(composition(top,sk1))))))),bind(Z,$fot(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_7470,plain,
( meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(converse(complement(composition(top,sk1))))) != meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))
| complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(converse(complement(composition(top,sk1)))))) )],[refute_0_7468,refute_0_7469]) ).
cnf(refute_0_7471,plain,
complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(converse(complement(composition(top,sk1))))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_7467,refute_0_7470]) ).
cnf(refute_0_7472,plain,
( complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))
| complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top)))
| meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) = meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top)))) ),[0],$fot(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_7473,plain,
( complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top)))
| meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) = meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_7471,refute_0_7472]) ).
cnf(refute_0_7474,plain,
meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)) = meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(sk1))),bind(X_7,$fot(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_7475,plain,
( meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)) != meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1))))
| meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(sk1)
| meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)) = converse(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)))),bind(Y,$fot(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_7476,plain,
( meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(sk1)
| meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)) = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)),meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_7474,refute_0_7475]) ).
cnf(refute_0_7477,plain,
meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)) )],[refute_0_7379,refute_0_7476]) ).
cnf(refute_0_7478,plain,
complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(complement(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)),
inference(subst,[],[refute_0_3237:[bind(X_259,$fot(sk1)),bind(X_97,$fot(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7479,plain,
top = join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(join(sk1,complement(composition(top,sk1)))))))),
inference(subst,[],[refute_0_3440:[bind(X_25,$fot(sk1)),bind(X_26,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_7480,plain,
( join(sk1,complement(composition(top,sk1))) != complement(composition(complement(converse(sk1)),sk1))
| top != join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(join(sk1,complement(composition(top,sk1))))))))
| top = join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(join(sk1,complement(composition(top,sk1))))))))) ),[1,1,1,0,0,0],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_7481,plain,
( top != join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(join(sk1,complement(composition(top,sk1))))))))
| top = join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(composition(top,sk1))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7236,refute_0_7480]) ).
cnf(refute_0_7482,plain,
top = join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),
inference(resolve,[$cnf( $equal(top,join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(join(sk1,complement(composition(top,sk1))))))))) )],[refute_0_7479,refute_0_7481]) ).
cnf(refute_0_7483,plain,
join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),
inference(subst,[],[refute_0_4153:[bind(X_155,$fot(sk1)),bind(X_156,$fot(complement(composition(top,sk1)))),bind(X_157,$fot(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7484,plain,
( join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| top != join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| top = join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),[1],$fot(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7485,plain,
( top != join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| top = join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7483,refute_0_7484]) ).
cnf(refute_0_7486,plain,
top = join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),
inference(resolve,[$cnf( $equal(top,join(complement(composition(top,sk1)),join(sk1,converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7482,refute_0_7485]) ).
cnf(refute_0_7487,plain,
( top != join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))]]) ).
cnf(refute_0_7488,plain,
join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = top,
inference(resolve,[$cnf( $equal(top,join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7486,refute_0_7487]) ).
cnf(refute_0_7489,plain,
( complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(complement(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))
| join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != top
| complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(complement(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_7490,plain,
( complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(complement(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))
| complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),top) )],[refute_0_7488,refute_0_7489]) ).
cnf(refute_0_7491,plain,
complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)),
inference(resolve,[$cnf( $equal(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(complement(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))) )],[refute_0_7478,refute_0_7490]) ).
cnf(refute_0_7492,plain,
complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),
inference(subst,[],[refute_0_3654:[bind(X_279,$fot(composition(top,sk1))),bind(X_281,$fot(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7493,plain,
( complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))
| complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))) ),[0],$fot(meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7494,plain,
( complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7492,refute_0_7493]) ).
cnf(refute_0_7495,plain,
join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))))]]) ).
cnf(refute_0_7496,plain,
meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),
introduced(tautology,[refl,[$fot(meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))]]) ).
cnf(refute_0_7497,plain,
( complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) ),[1,1],$fot(meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7498,plain,
( complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7496,refute_0_7497]) ).
cnf(refute_0_7499,plain,
meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7492,refute_0_7498]) ).
cnf(refute_0_7500,plain,
meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1) = meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(sk1)),bind(X_7,$fot(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))]]) ).
cnf(refute_0_7501,plain,
( meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1) != meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))),bind(Y,$fot(meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))),bind(Z,$fot(meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))))]]) ).
cnf(refute_0_7502,plain,
( meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1),meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7500,refute_0_7501]) ).
cnf(refute_0_7503,plain,
meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(resolve,[$cnf( $equal(meet(sk1,complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7499,refute_0_7502]) ).
cnf(refute_0_7504,plain,
join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)))]]) ).
cnf(refute_0_7505,plain,
( join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) != join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))
| meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1) != meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)),join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))) ),[1,1],$fot(meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))]]) ).
cnf(refute_0_7506,plain,
( meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1) != meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)),join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))) )],[refute_0_7504,refute_0_7505]) ).
cnf(refute_0_7507,plain,
join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1),meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7503,refute_0_7506]) ).
cnf(refute_0_7508,plain,
join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)))]]) ).
cnf(refute_0_7509,plain,
( complement(top) != zero
| join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) != join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))
| join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)),join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7510,plain,
( complement(top) != zero
| join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)),join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))) )],[refute_0_7508,refute_0_7509]) ).
cnf(refute_0_7511,plain,
join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_7510]) ).
cnf(refute_0_7512,plain,
( join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) != join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))
| join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) != join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))
| join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)))),bind(Y,$fot(join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)))),bind(Z,$fot(join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))))]]) ).
cnf(refute_0_7513,plain,
( join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) != join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))
| join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)),join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))) )],[refute_0_7511,refute_0_7512]) ).
cnf(refute_0_7514,plain,
join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)),join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))) )],[refute_0_7507,refute_0_7513]) ).
cnf(refute_0_7515,plain,
( join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) != join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))
| join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) != meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)))),bind(Y,$fot(join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))))),bind(Z,$fot(meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))))]]) ).
cnf(refute_0_7516,plain,
( join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) != meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)),join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))) )],[refute_0_7514,refute_0_7515]) ).
cnf(refute_0_7517,plain,
join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))),meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7495,refute_0_7516]) ).
cnf(refute_0_7518,plain,
( join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)) != meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))) ),[1],$fot(meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))]]) ).
cnf(refute_0_7519,plain,
( meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1)),meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7517,refute_0_7518]) ).
cnf(refute_0_7520,plain,
( complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))) )],[refute_0_7494,refute_0_7519]) ).
cnf(refute_0_7521,plain,
meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(complement(top),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),sk1))) )],[refute_0_7491,refute_0_7520]) ).
cnf(refute_0_7522,plain,
complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))),
inference(subst,[],[refute_0_4896:[bind(X_97,$fot(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7523,plain,
( complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))))
| join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != top
| complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_7524,plain,
( complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))))
| complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),top) )],[refute_0_7488,refute_0_7523]) ).
cnf(refute_0_7525,plain,
complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))),
inference(resolve,[$cnf( $equal(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(join(sk1,join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))))) )],[refute_0_7522,refute_0_7524]) ).
cnf(refute_0_7526,plain,
( complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top)))
| complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top)))) ),[0],$fot(meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7527,plain,
( complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top)))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7492,refute_0_7526]) ).
cnf(refute_0_7528,plain,
join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_7529,plain,
converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7530,plain,
( converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))
| converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) ),[1,0],$fot(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_7531,plain,
( join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))
| converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7529,refute_0_7530]) ).
cnf(refute_0_7532,plain,
converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_7528,refute_0_7531]) ).
cnf(refute_0_7533,plain,
join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(subst,[],[refute_0_1764:[bind(X_12,$fot(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_7534,plain,
( converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Y,$fot(converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Z,$fot(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7535,plain,
( converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7533,refute_0_7534]) ).
cnf(refute_0_7536,plain,
join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7532,refute_0_7535]) ).
cnf(refute_0_7537,plain,
join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),
introduced(tautology,[refl,[$fot(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7538,plain,
( join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| meet(top,complement(one)) != complement(one)
| join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_7539,plain,
( meet(top,complement(one)) != complement(one)
| join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7537,refute_0_7538]) ).
cnf(refute_0_7540,plain,
join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_4957,refute_0_7539]) ).
cnf(refute_0_7541,plain,
( join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Y,$fot(join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Z,$fot(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7542,plain,
( join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7540,refute_0_7541]) ).
cnf(refute_0_7543,plain,
join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7536,refute_0_7542]) ).
cnf(refute_0_7544,plain,
complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7545,plain,
( complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))
| complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),[1,0],$fot(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7546,plain,
( join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))
| complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7544,refute_0_7545]) ).
cnf(refute_0_7547,plain,
complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7543,refute_0_7546]) ).
cnf(refute_0_7548,plain,
complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))) = complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),
inference(subst,[],[refute_0_3210:[bind(A,$fot(meet(top,complement(one)))),bind(B,$fot(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7549,plain,
( complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))) != complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))
| complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))) = complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))),bind(Y,$fot(complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))),bind(Z,$fot(complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))))]]) ).
cnf(refute_0_7550,plain,
( complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))
| complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))) = complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))),complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7548,refute_0_7549]) ).
cnf(refute_0_7551,plain,
complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))) = complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7547,refute_0_7550]) ).
cnf(refute_0_7552,plain,
meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))) = meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))),
introduced(tautology,[refl,[$fot(meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))))]]) ).
cnf(refute_0_7553,plain,
( complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))) != complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))
| meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))) != meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))
| meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))) = meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))),meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))) ),[1,1],$fot(complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7554,plain,
( complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))) != complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))
| meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))) = meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))),meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))) )],[refute_0_7552,refute_0_7553]) ).
cnf(refute_0_7555,plain,
meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))) = meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7551,refute_0_7554]) ).
cnf(refute_0_7556,plain,
complement(join(meet(top,complement(one)),join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))),
inference(subst,[],[refute_0_4948:[bind(A,$fot(meet(top,complement(one)))),bind(X_298,$fot(composition(top,sk1))),bind(X_32,$fot(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7557,plain,
meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = complement(join(meet(top,complement(one)),join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(subst,[],[refute_0_4975:[bind(X_279,$fot(top)),bind(X_299,$fot(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7558,plain,
( complement(join(meet(top,complement(one)),join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))
| meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != complement(join(meet(top,complement(one)),join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))),bind(Y,$fot(complement(join(meet(top,complement(one)),join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))),bind(Z,$fot(meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))))]]) ).
cnf(refute_0_7559,plain,
( complement(join(meet(top,complement(one)),join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))
| meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),complement(join(meet(top,complement(one)),join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7557,refute_0_7558]) ).
cnf(refute_0_7560,plain,
meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))) )],[refute_0_7556,refute_0_7559]) ).
cnf(refute_0_7561,plain,
meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) = meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(join(one,complement(top)))),bind(X_7,$fot(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))]]) ).
cnf(refute_0_7562,plain,
( meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) != meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))
| meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) = meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))))),bind(Y,$fot(meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))),bind(Z,$fot(meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))))]]) ).
cnf(refute_0_7563,plain,
( meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))
| meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) = meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))),meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7561,refute_0_7562]) ).
cnf(refute_0_7564,plain,
meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) = meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))) )],[refute_0_7560,refute_0_7563]) ).
cnf(refute_0_7565,plain,
( meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) != meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))
| meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))) != meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) = meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))))),bind(Y,$fot(meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))))),bind(Z,$fot(meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))))]]) ).
cnf(refute_0_7566,plain,
( meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))) != meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) = meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))),meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one)))))) )],[refute_0_7564,refute_0_7565]) ).
cnf(refute_0_7567,plain,
meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) = meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(join(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))),meet(top,complement(one))))),meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7555,refute_0_7566]) ).
cnf(refute_0_7568,plain,
( meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))) != meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top)))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top)))) ),[1],$fot(meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))))]]) ).
cnf(refute_0_7569,plain,
( meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top)))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top))),meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7567,refute_0_7568]) ).
cnf(refute_0_7570,plain,
( complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top)))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top)))) )],[refute_0_7527,refute_0_7569]) ).
cnf(refute_0_7571,plain,
meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(complement(join(complement(composition(top,sk1)),converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,complement(top)))) )],[refute_0_7525,refute_0_7570]) ).
cnf(refute_0_7572,plain,
meet(composition(top,sk1),one) = meet(one,composition(top,sk1)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_7573,plain,
one = meet(one,converse(join(one,complement(join(one,composition(top,sk1)))))),
inference(subst,[],[refute_0_1408:[bind(X_12,$fot(complement(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_7574,plain,
( join(one,complement(join(one,composition(top,sk1)))) != complement(composition(complement(converse(sk1)),sk1))
| one != meet(one,converse(join(one,complement(join(one,composition(top,sk1))))))
| one = meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,meet(one,converse(join(one,complement(join(one,composition(top,sk1))))))) ),[1,1,0],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_7575,plain,
( one != meet(one,converse(join(one,complement(join(one,composition(top,sk1))))))
| one = meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(top,sk1)))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7374,refute_0_7574]) ).
cnf(refute_0_7576,plain,
one = meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))),
inference(resolve,[$cnf( $equal(one,meet(one,converse(join(one,complement(join(one,composition(top,sk1))))))) )],[refute_0_7573,refute_0_7575]) ).
cnf(refute_0_7577,plain,
( one != meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))
| meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_7578,plain,
meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))) = one,
inference(resolve,[$cnf( $equal(one,meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_7576,refute_0_7577]) ).
cnf(refute_0_7579,plain,
complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))),
introduced(tautology,[refl,[$fot(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_7580,plain,
( complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))
| meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))) != one
| complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_7581,plain,
( meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))) != one
| complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_7579,refute_0_7580]) ).
cnf(refute_0_7582,plain,
complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(one),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))),one) )],[refute_0_7578,refute_0_7581]) ).
cnf(refute_0_7583,plain,
converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))),
introduced(tautology,[refl,[$fot(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7584,plain,
( complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(one)
| converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) != converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))
| converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))),converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_7585,plain,
( complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(one)
| converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))),converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7583,refute_0_7584]) ).
cnf(refute_0_7586,plain,
converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) )],[refute_0_7582,refute_0_7585]) ).
cnf(refute_0_7587,plain,
( converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) != converse(complement(one))
| converse(complement(one)) != complement(one)
| converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(one) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Y,$fot(converse(complement(one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_7588,plain,
( converse(complement(one)) != complement(one)
| converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))),converse(complement(one))) )],[refute_0_7586,refute_0_7587]) ).
cnf(refute_0_7589,plain,
converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(one),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1759,refute_0_7588]) ).
cnf(refute_0_7590,plain,
complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) = complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7591,plain,
( complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) != complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))
| converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(one)
| complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_7592,plain,
( converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(one)
| complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7590,refute_0_7591]) ).
cnf(refute_0_7593,plain,
complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))),complement(one)) )],[refute_0_7589,refute_0_7592]) ).
cnf(refute_0_7594,plain,
( complement(complement(one)) != one
| complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) != complement(complement(one))
| complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))),bind(Y,$fot(complement(complement(one)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_7595,plain,
( complement(complement(one)) != one
| complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) = one ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))),complement(complement(one))) )],[refute_0_7593,refute_0_7594]) ).
cnf(refute_0_7596,plain,
complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) = one,
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3123,refute_0_7595]) ).
cnf(refute_0_7597,plain,
meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))),
introduced(tautology,[refl,[$fot(meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))))]]) ).
cnf(refute_0_7598,plain,
( complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) != one
| meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) != meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(composition(top,sk1),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_7599,plain,
( complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))) != one
| meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(composition(top,sk1),one) ),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7597,refute_0_7598]) ).
cnf(refute_0_7600,plain,
meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(composition(top,sk1),one),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))),one) )],[refute_0_7596,refute_0_7599]) ).
cnf(refute_0_7601,plain,
( meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) != meet(composition(top,sk1),one)
| meet(composition(top,sk1),one) != meet(one,composition(top,sk1))
| meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(one,composition(top,sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))))),bind(Y,$fot(meet(composition(top,sk1),one))),bind(Z,$fot(meet(one,composition(top,sk1))))]]) ).
cnf(refute_0_7602,plain,
( meet(composition(top,sk1),one) != meet(one,composition(top,sk1))
| meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(one,composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(composition(top,sk1),one)) )],[refute_0_7600,refute_0_7601]) ).
cnf(refute_0_7603,plain,
meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(one,composition(top,sk1)),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),one),meet(one,composition(top,sk1))) )],[refute_0_7572,refute_0_7602]) ).
cnf(refute_0_7604,plain,
( meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))) != meet(one,composition(top,sk1))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(one,composition(top,sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(one,composition(top,sk1))) ),[0],$fot(meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))))]]) ).
cnf(refute_0_7605,plain,
( meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(one,composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(one,composition(top,sk1))) )],[refute_0_7603,refute_0_7604]) ).
cnf(refute_0_7606,plain,
meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(one,composition(top,sk1)),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(composition(top,sk1),complement(converse(complement(meet(one,converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7571,refute_0_7605]) ).
cnf(refute_0_7607,plain,
( meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(one,composition(top,sk1))
| meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(one,composition(top,sk1)) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) ),[0],$fot(meet(one,composition(top,sk1)))]]) ).
cnf(refute_0_7608,plain,
( meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(one,composition(top,sk1)) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(one,composition(top,sk1))) )],[refute_0_7606,refute_0_7607]) ).
cnf(refute_0_7609,plain,
complement(complement(sk1)) = meet(complement(complement(sk1)),join(composition(top,sk1),complement(join(complement(sk1),composition(top,sk1))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(composition(top,sk1))),bind(X_97,$fot(complement(sk1)))]]) ).
cnf(refute_0_7610,plain,
join(composition(top,sk1),join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))) = top,
inference(subst,[],[refute_0_463:[bind(X_31,$fot(composition(top,sk1))),bind(X_33,$fot(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_7611,plain,
( join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)) != complement(sk1)
| join(composition(top,sk1),join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))) != top
| join(composition(top,sk1),complement(sk1)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,sk1),join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))),top) ),[0,1],$fot(complement(sk1))]]) ).
cnf(refute_0_7612,plain,
( join(composition(top,sk1),join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))) != top
| join(composition(top,sk1),complement(sk1)) = top ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1)),complement(sk1)) )],[refute_0_6443,refute_0_7611]) ).
cnf(refute_0_7613,plain,
join(composition(top,sk1),complement(sk1)) = top,
inference(resolve,[$cnf( $equal(join(composition(top,sk1),join(complement(composition(top,sk1)),composition(complement(converse(sk1)),sk1))),top) )],[refute_0_7610,refute_0_7612]) ).
cnf(refute_0_7614,plain,
join(composition(top,sk1),complement(sk1)) = join(complement(sk1),composition(top,sk1)),
inference(subst,[],[refute_0_3646:[bind(X_190,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_7615,plain,
( join(composition(top,sk1),complement(sk1)) != join(complement(sk1),composition(top,sk1))
| join(composition(top,sk1),complement(sk1)) != top
| join(complement(sk1),composition(top,sk1)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,sk1),complement(sk1)),top) ),[0],$fot(join(complement(sk1),composition(top,sk1)))]]) ).
cnf(refute_0_7616,plain,
( join(composition(top,sk1),complement(sk1)) != top
| join(complement(sk1),composition(top,sk1)) = top ),
inference(resolve,[$cnf( $equal(join(composition(top,sk1),complement(sk1)),join(complement(sk1),composition(top,sk1))) )],[refute_0_7614,refute_0_7615]) ).
cnf(refute_0_7617,plain,
join(complement(sk1),composition(top,sk1)) = top,
inference(resolve,[$cnf( $equal(join(composition(top,sk1),complement(sk1)),top) )],[refute_0_7613,refute_0_7616]) ).
cnf(refute_0_7618,plain,
( complement(complement(sk1)) != meet(complement(complement(sk1)),join(composition(top,sk1),complement(join(complement(sk1),composition(top,sk1)))))
| join(complement(sk1),composition(top,sk1)) != top
| complement(complement(sk1)) = meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(sk1)),meet(complement(complement(sk1)),join(composition(top,sk1),complement(join(complement(sk1),composition(top,sk1)))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_7619,plain,
( complement(complement(sk1)) != meet(complement(complement(sk1)),join(composition(top,sk1),complement(join(complement(sk1),composition(top,sk1)))))
| complement(complement(sk1)) = meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),composition(top,sk1)),top) )],[refute_0_7617,refute_0_7618]) ).
cnf(refute_0_7620,plain,
complement(complement(sk1)) = meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))),
inference(resolve,[$cnf( $equal(complement(complement(sk1)),meet(complement(complement(sk1)),join(composition(top,sk1),complement(join(complement(sk1),composition(top,sk1)))))) )],[refute_0_7609,refute_0_7619]) ).
cnf(refute_0_7621,plain,
( complement(complement(sk1)) != meet(complement(complement(sk1)),join(composition(top,sk1),complement(top)))
| complement(complement(sk1)) != sk1
| sk1 = meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(sk1)),meet(complement(complement(sk1)),join(composition(top,sk1),complement(top)))) ),[0],$fot(sk1)]]) ).
cnf(refute_0_7622,plain,
( complement(complement(sk1)) != meet(complement(complement(sk1)),join(composition(top,sk1),complement(top)))
| sk1 = meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) ),
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_2273,refute_0_7621]) ).
cnf(refute_0_7623,plain,
join(zero,composition(top,sk1)) = composition(top,sk1),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_7624,plain,
join(complement(top),composition(top,sk1)) = join(complement(top),composition(top,sk1)),
introduced(tautology,[refl,[$fot(join(complement(top),composition(top,sk1)))]]) ).
cnf(refute_0_7625,plain,
( complement(top) != zero
| join(complement(top),composition(top,sk1)) != join(complement(top),composition(top,sk1))
| join(complement(top),composition(top,sk1)) = join(zero,composition(top,sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(top,sk1)),join(complement(top),composition(top,sk1))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7626,plain,
( complement(top) != zero
| join(complement(top),composition(top,sk1)) = join(zero,composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(top,sk1)),join(complement(top),composition(top,sk1))) )],[refute_0_7624,refute_0_7625]) ).
cnf(refute_0_7627,plain,
join(complement(top),composition(top,sk1)) = join(zero,composition(top,sk1)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_198,refute_0_7626]) ).
cnf(refute_0_7628,plain,
( join(complement(top),composition(top,sk1)) != join(zero,composition(top,sk1))
| join(zero,composition(top,sk1)) != composition(top,sk1)
| join(complement(top),composition(top,sk1)) = composition(top,sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(top),composition(top,sk1)))),bind(Y,$fot(join(zero,composition(top,sk1)))),bind(Z,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_7629,plain,
( join(zero,composition(top,sk1)) != composition(top,sk1)
| join(complement(top),composition(top,sk1)) = composition(top,sk1) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(top,sk1)),join(zero,composition(top,sk1))) )],[refute_0_7627,refute_0_7628]) ).
cnf(refute_0_7630,plain,
join(complement(top),composition(top,sk1)) = composition(top,sk1),
inference(resolve,[$cnf( $equal(join(zero,composition(top,sk1)),composition(top,sk1)) )],[refute_0_7623,refute_0_7629]) ).
cnf(refute_0_7631,plain,
join(composition(top,sk1),complement(top)) = join(complement(top),composition(top,sk1)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(composition(top,sk1))),bind(B,$fot(complement(top)))]]) ).
cnf(refute_0_7632,plain,
( join(complement(top),composition(top,sk1)) != composition(top,sk1)
| join(composition(top,sk1),complement(top)) != join(complement(top),composition(top,sk1))
| join(composition(top,sk1),complement(top)) = composition(top,sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(composition(top,sk1),complement(top)))),bind(Y,$fot(join(complement(top),composition(top,sk1)))),bind(Z,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_7633,plain,
( join(complement(top),composition(top,sk1)) != composition(top,sk1)
| join(composition(top,sk1),complement(top)) = composition(top,sk1) ),
inference(resolve,[$cnf( $equal(join(composition(top,sk1),complement(top)),join(complement(top),composition(top,sk1))) )],[refute_0_7631,refute_0_7632]) ).
cnf(refute_0_7634,plain,
join(composition(top,sk1),complement(top)) = composition(top,sk1),
inference(resolve,[$cnf( $equal(join(complement(top),composition(top,sk1)),composition(top,sk1)) )],[refute_0_7630,refute_0_7633]) ).
cnf(refute_0_7635,plain,
meet(sk1,join(composition(top,sk1),complement(top))) = meet(sk1,join(composition(top,sk1),complement(top))),
introduced(tautology,[refl,[$fot(meet(sk1,join(composition(top,sk1),complement(top))))]]) ).
cnf(refute_0_7636,plain,
( join(composition(top,sk1),complement(top)) != composition(top,sk1)
| meet(sk1,join(composition(top,sk1),complement(top))) != meet(sk1,join(composition(top,sk1),complement(top)))
| meet(sk1,join(composition(top,sk1),complement(top))) = meet(sk1,composition(top,sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,join(composition(top,sk1),complement(top))),meet(sk1,join(composition(top,sk1),complement(top)))) ),[1,1],$fot(composition(top,sk1))]]) ).
cnf(refute_0_7637,plain,
( join(composition(top,sk1),complement(top)) != composition(top,sk1)
| meet(sk1,join(composition(top,sk1),complement(top))) = meet(sk1,composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(meet(sk1,join(composition(top,sk1),complement(top))),meet(sk1,join(composition(top,sk1),complement(top)))) )],[refute_0_7635,refute_0_7636]) ).
cnf(refute_0_7638,plain,
meet(sk1,join(composition(top,sk1),complement(top))) = meet(sk1,composition(top,sk1)),
inference(resolve,[$cnf( $equal(join(composition(top,sk1),complement(top)),composition(top,sk1)) )],[refute_0_7634,refute_0_7637]) ).
cnf(refute_0_7639,plain,
meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) = meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))))]]) ).
cnf(refute_0_7640,plain,
( complement(complement(sk1)) != sk1
| meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) != meet(complement(complement(sk1)),join(composition(top,sk1),complement(top)))
| meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) = meet(sk1,join(composition(top,sk1),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))),meet(complement(complement(sk1)),join(composition(top,sk1),complement(top)))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_7641,plain,
( complement(complement(sk1)) != sk1
| meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) = meet(sk1,join(composition(top,sk1),complement(top))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))),meet(complement(complement(sk1)),join(composition(top,sk1),complement(top)))) )],[refute_0_7639,refute_0_7640]) ).
cnf(refute_0_7642,plain,
meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) = meet(sk1,join(composition(top,sk1),complement(top))),
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_2273,refute_0_7641]) ).
cnf(refute_0_7643,plain,
( meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) != meet(sk1,join(composition(top,sk1),complement(top)))
| meet(sk1,join(composition(top,sk1),complement(top))) != meet(sk1,composition(top,sk1))
| meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) = meet(sk1,composition(top,sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))))),bind(Y,$fot(meet(sk1,join(composition(top,sk1),complement(top))))),bind(Z,$fot(meet(sk1,composition(top,sk1))))]]) ).
cnf(refute_0_7644,plain,
( meet(sk1,join(composition(top,sk1),complement(top))) != meet(sk1,composition(top,sk1))
| meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) = meet(sk1,composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))),meet(sk1,join(composition(top,sk1),complement(top)))) )],[refute_0_7642,refute_0_7643]) ).
cnf(refute_0_7645,plain,
meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) = meet(sk1,composition(top,sk1)),
inference(resolve,[$cnf( $equal(meet(sk1,join(composition(top,sk1),complement(top))),meet(sk1,composition(top,sk1))) )],[refute_0_7638,refute_0_7644]) ).
cnf(refute_0_7646,plain,
( meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))) != meet(sk1,composition(top,sk1))
| sk1 != meet(complement(complement(sk1)),join(composition(top,sk1),complement(top)))
| sk1 = meet(sk1,composition(top,sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(sk1,meet(complement(complement(sk1)),join(composition(top,sk1),complement(top)))) ),[1],$fot(meet(sk1,composition(top,sk1)))]]) ).
cnf(refute_0_7647,plain,
( sk1 != meet(complement(complement(sk1)),join(composition(top,sk1),complement(top)))
| sk1 = meet(sk1,composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(sk1)),join(composition(top,sk1),complement(top))),meet(sk1,composition(top,sk1))) )],[refute_0_7645,refute_0_7646]) ).
cnf(refute_0_7648,plain,
( complement(complement(sk1)) != meet(complement(complement(sk1)),join(composition(top,sk1),complement(top)))
| sk1 = meet(sk1,composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(sk1,meet(complement(complement(sk1)),join(composition(top,sk1),complement(top)))) )],[refute_0_7622,refute_0_7647]) ).
cnf(refute_0_7649,plain,
sk1 = meet(sk1,composition(top,sk1)),
inference(resolve,[$cnf( $equal(complement(complement(sk1)),meet(complement(complement(sk1)),join(composition(top,sk1),complement(top)))) )],[refute_0_7620,refute_0_7648]) ).
cnf(refute_0_7650,plain,
( sk1 != meet(sk1,composition(top,sk1))
| meet(sk1,composition(top,sk1)) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(meet(sk1,composition(top,sk1))))]]) ).
cnf(refute_0_7651,plain,
meet(sk1,composition(top,sk1)) = sk1,
inference(resolve,[$cnf( $equal(sk1,meet(sk1,composition(top,sk1))) )],[refute_0_7649,refute_0_7650]) ).
cnf(refute_0_7652,plain,
meet(sk1,complement(converse(converse(A)))) = meet(sk1,meet(one,complement(converse(converse(A))))),
inference(subst,[],[refute_0_4987:[bind(X_326,$fot(converse(A)))]]) ).
cnf(refute_0_7653,plain,
( converse(converse(A)) != A
| meet(sk1,complement(converse(converse(A)))) != meet(sk1,meet(one,complement(converse(converse(A)))))
| meet(sk1,complement(converse(converse(A)))) = meet(sk1,meet(one,complement(A))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(converse(converse(A)))),meet(sk1,meet(one,complement(converse(converse(A)))))) ),[1,1,1,0],$fot(A)]]) ).
cnf(refute_0_7654,plain,
( meet(sk1,complement(converse(converse(A)))) != meet(sk1,meet(one,complement(converse(converse(A)))))
| meet(sk1,complement(converse(converse(A)))) = meet(sk1,meet(one,complement(A))) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_7653]) ).
cnf(refute_0_7655,plain,
meet(sk1,complement(converse(converse(A)))) = meet(sk1,meet(one,complement(A))),
inference(resolve,[$cnf( $equal(meet(sk1,complement(converse(converse(A)))),meet(sk1,meet(one,complement(converse(converse(A)))))) )],[refute_0_7652,refute_0_7654]) ).
cnf(refute_0_7656,plain,
complement(converse(converse(A))) = complement(converse(converse(A))),
introduced(tautology,[refl,[$fot(complement(converse(converse(A))))]]) ).
cnf(refute_0_7657,plain,
( complement(converse(converse(A))) != complement(converse(converse(A)))
| converse(converse(A)) != A
| complement(converse(converse(A))) = complement(A) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(A))),complement(converse(converse(A)))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_7658,plain,
( converse(converse(A)) != A
| complement(converse(converse(A))) = complement(A) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(A))),complement(converse(converse(A)))) )],[refute_0_7656,refute_0_7657]) ).
cnf(refute_0_7659,plain,
complement(converse(converse(A))) = complement(A),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_7658]) ).
cnf(refute_0_7660,plain,
meet(sk1,complement(converse(converse(A)))) = meet(sk1,complement(converse(converse(A)))),
introduced(tautology,[refl,[$fot(meet(sk1,complement(converse(converse(A)))))]]) ).
cnf(refute_0_7661,plain,
( complement(converse(converse(A))) != complement(A)
| meet(sk1,complement(converse(converse(A)))) != meet(sk1,complement(converse(converse(A))))
| meet(sk1,complement(converse(converse(A)))) = meet(sk1,complement(A)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(converse(converse(A)))),meet(sk1,complement(converse(converse(A))))) ),[1,1],$fot(complement(A))]]) ).
cnf(refute_0_7662,plain,
( complement(converse(converse(A))) != complement(A)
| meet(sk1,complement(converse(converse(A)))) = meet(sk1,complement(A)) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(converse(converse(A)))),meet(sk1,complement(converse(converse(A))))) )],[refute_0_7660,refute_0_7661]) ).
cnf(refute_0_7663,plain,
meet(sk1,complement(converse(converse(A)))) = meet(sk1,complement(A)),
inference(resolve,[$cnf( $equal(complement(converse(converse(A))),complement(A)) )],[refute_0_7659,refute_0_7662]) ).
cnf(refute_0_7664,plain,
( meet(sk1,complement(converse(converse(A)))) != meet(sk1,complement(A))
| meet(sk1,complement(converse(converse(A)))) != meet(sk1,meet(one,complement(A)))
| meet(sk1,complement(A)) = meet(sk1,meet(one,complement(A))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(converse(converse(A)))),meet(sk1,meet(one,complement(A)))) ),[0],$fot(meet(sk1,complement(A)))]]) ).
cnf(refute_0_7665,plain,
( meet(sk1,complement(converse(converse(A)))) != meet(sk1,meet(one,complement(A)))
| meet(sk1,complement(A)) = meet(sk1,meet(one,complement(A))) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(converse(converse(A)))),meet(sk1,complement(A))) )],[refute_0_7663,refute_0_7664]) ).
cnf(refute_0_7666,plain,
meet(sk1,complement(A)) = meet(sk1,meet(one,complement(A))),
inference(resolve,[$cnf( $equal(meet(sk1,complement(converse(converse(A)))),meet(sk1,meet(one,complement(A)))) )],[refute_0_7655,refute_0_7665]) ).
cnf(refute_0_7667,plain,
meet(sk1,complement(complement(X_97))) = meet(sk1,meet(one,complement(complement(X_97)))),
inference(subst,[],[refute_0_7666:[bind(A,$fot(complement(X_97)))]]) ).
cnf(refute_0_7668,plain,
( complement(complement(X_97)) != X_97
| meet(sk1,complement(complement(X_97))) != meet(sk1,meet(one,complement(complement(X_97))))
| meet(sk1,complement(complement(X_97))) = meet(sk1,meet(one,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(complement(X_97))),meet(sk1,meet(one,complement(complement(X_97))))) ),[1,1,1],$fot(X_97)]]) ).
cnf(refute_0_7669,plain,
( meet(sk1,complement(complement(X_97))) != meet(sk1,meet(one,complement(complement(X_97))))
| meet(sk1,complement(complement(X_97))) = meet(sk1,meet(one,X_97)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_97)),X_97) )],[refute_0_623,refute_0_7668]) ).
cnf(refute_0_7670,plain,
meet(sk1,complement(complement(X_97))) = meet(sk1,meet(one,X_97)),
inference(resolve,[$cnf( $equal(meet(sk1,complement(complement(X_97))),meet(sk1,meet(one,complement(complement(X_97))))) )],[refute_0_7667,refute_0_7669]) ).
cnf(refute_0_7671,plain,
( meet(sk1,complement(complement(X_97))) != meet(sk1,X_97)
| meet(sk1,complement(complement(X_97))) != meet(sk1,meet(one,X_97))
| meet(sk1,X_97) = meet(sk1,meet(one,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,complement(complement(X_97))),meet(sk1,meet(one,X_97))) ),[0],$fot(meet(sk1,X_97))]]) ).
cnf(refute_0_7672,plain,
( meet(sk1,complement(complement(X_97))) != meet(sk1,meet(one,X_97))
| meet(sk1,X_97) = meet(sk1,meet(one,X_97)) ),
inference(resolve,[$cnf( $equal(meet(sk1,complement(complement(X_97))),meet(sk1,X_97)) )],[refute_0_6742,refute_0_7671]) ).
cnf(refute_0_7673,plain,
meet(sk1,X_97) = meet(sk1,meet(one,X_97)),
inference(resolve,[$cnf( $equal(meet(sk1,complement(complement(X_97))),meet(sk1,meet(one,X_97))) )],[refute_0_7670,refute_0_7672]) ).
cnf(refute_0_7674,plain,
( meet(sk1,X_97) != meet(sk1,meet(one,X_97))
| meet(sk1,meet(one,X_97)) = meet(sk1,X_97) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(sk1,X_97))),bind(Y,$fot(meet(sk1,meet(one,X_97))))]]) ).
cnf(refute_0_7675,plain,
meet(sk1,meet(one,X_97)) = meet(sk1,X_97),
inference(resolve,[$cnf( $equal(meet(sk1,X_97),meet(sk1,meet(one,X_97))) )],[refute_0_7673,refute_0_7674]) ).
cnf(refute_0_7676,plain,
meet(sk1,meet(one,composition(top,sk1))) = meet(sk1,composition(top,sk1)),
inference(subst,[],[refute_0_7675:[bind(X_97,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_7677,plain,
( meet(sk1,composition(top,sk1)) != sk1
| meet(sk1,meet(one,composition(top,sk1))) != meet(sk1,composition(top,sk1))
| meet(sk1,meet(one,composition(top,sk1))) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(sk1,meet(one,composition(top,sk1))))),bind(Y,$fot(meet(sk1,composition(top,sk1)))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_7678,plain,
( meet(sk1,composition(top,sk1)) != sk1
| meet(sk1,meet(one,composition(top,sk1))) = sk1 ),
inference(resolve,[$cnf( $equal(meet(sk1,meet(one,composition(top,sk1))),meet(sk1,composition(top,sk1))) )],[refute_0_7676,refute_0_7677]) ).
cnf(refute_0_7679,plain,
meet(sk1,meet(one,composition(top,sk1))) = sk1,
inference(resolve,[$cnf( $equal(meet(sk1,composition(top,sk1)),sk1) )],[refute_0_7651,refute_0_7678]) ).
cnf(refute_0_7680,plain,
meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),
introduced(tautology,[refl,[$fot(meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))]]) ).
cnf(refute_0_7681,plain,
( meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(one,composition(top,sk1))
| meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(sk1,meet(one,composition(top,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) ),[1,1],$fot(meet(one,composition(top,sk1)))]]) ).
cnf(refute_0_7682,plain,
( meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(one,composition(top,sk1))
| meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(sk1,meet(one,composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7680,refute_0_7681]) ).
cnf(refute_0_7683,plain,
meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = meet(sk1,meet(one,composition(top,sk1))),
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(one,composition(top,sk1))) )],[refute_0_7606,refute_0_7682]) ).
cnf(refute_0_7684,plain,
( meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != meet(sk1,meet(one,composition(top,sk1)))
| meet(sk1,meet(one,composition(top,sk1))) != sk1
| meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))),bind(Y,$fot(meet(sk1,meet(one,composition(top,sk1))))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_7685,plain,
( meet(sk1,meet(one,composition(top,sk1))) != sk1
| meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = sk1 ),
inference(resolve,[$cnf( $equal(meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),meet(sk1,meet(one,composition(top,sk1)))) )],[refute_0_7683,refute_0_7684]) ).
cnf(refute_0_7686,plain,
meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = sk1,
inference(resolve,[$cnf( $equal(meet(sk1,meet(one,composition(top,sk1))),sk1) )],[refute_0_7679,refute_0_7685]) ).
cnf(refute_0_7687,plain,
( meet(one,composition(top,sk1)) != meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != sk1
| meet(one,composition(top,sk1)) = sk1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(one,composition(top,sk1)),sk1) ),[0],$fot(meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))]]) ).
cnf(refute_0_7688,plain,
( meet(one,composition(top,sk1)) != meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(one,composition(top,sk1)) = sk1 ),
inference(resolve,[$cnf( $equal(meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),sk1) )],[refute_0_7686,refute_0_7687]) ).
cnf(refute_0_7689,plain,
( meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| meet(one,composition(top,sk1)) = sk1 ),
inference(resolve,[$cnf( $equal(meet(one,composition(top,sk1)),meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7608,refute_0_7688]) ).
cnf(refute_0_7690,plain,
meet(one,composition(top,sk1)) = sk1,
inference(resolve,[$cnf( $equal(meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(sk1,meet(composition(top,sk1),complement(converse(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7521,refute_0_7689]) ).
cnf(refute_0_7691,plain,
complement(meet(one,composition(top,sk1))) = complement(meet(one,composition(top,sk1))),
introduced(tautology,[refl,[$fot(complement(meet(one,composition(top,sk1))))]]) ).
cnf(refute_0_7692,plain,
( complement(meet(one,composition(top,sk1))) != complement(meet(one,composition(top,sk1)))
| meet(one,composition(top,sk1)) != sk1
| complement(meet(one,composition(top,sk1))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,composition(top,sk1))),complement(meet(one,composition(top,sk1)))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_7693,plain,
( meet(one,composition(top,sk1)) != sk1
| complement(meet(one,composition(top,sk1))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(top,sk1))),complement(meet(one,composition(top,sk1)))) )],[refute_0_7691,refute_0_7692]) ).
cnf(refute_0_7694,plain,
complement(meet(one,composition(top,sk1))) = complement(sk1),
inference(resolve,[$cnf( $equal(meet(one,composition(top,sk1)),sk1) )],[refute_0_7690,refute_0_7693]) ).
cnf(refute_0_7695,plain,
join(complement(one),complement(composition(top,sk1))) = complement(meet(one,composition(top,sk1))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_7696,plain,
( complement(meet(one,composition(top,sk1))) != complement(sk1)
| join(complement(one),complement(composition(top,sk1))) != complement(meet(one,composition(top,sk1)))
| join(complement(one),complement(composition(top,sk1))) = complement(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),complement(composition(top,sk1))))),bind(Y,$fot(complement(meet(one,composition(top,sk1))))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_7697,plain,
( complement(meet(one,composition(top,sk1))) != complement(sk1)
| join(complement(one),complement(composition(top,sk1))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(top,sk1))),complement(meet(one,composition(top,sk1)))) )],[refute_0_7695,refute_0_7696]) ).
cnf(refute_0_7698,plain,
join(complement(one),complement(composition(top,sk1))) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(top,sk1))),complement(sk1)) )],[refute_0_7694,refute_0_7697]) ).
cnf(refute_0_7699,plain,
converse(join(complement(one),complement(composition(top,sk1)))) = converse(join(complement(one),complement(composition(top,sk1)))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7700,plain,
( converse(join(complement(one),complement(composition(top,sk1)))) != converse(join(complement(one),complement(composition(top,sk1))))
| join(complement(one),complement(composition(top,sk1))) != complement(sk1)
| converse(join(complement(one),complement(composition(top,sk1)))) = converse(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(composition(top,sk1)))),converse(join(complement(one),complement(composition(top,sk1))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_7701,plain,
( join(complement(one),complement(composition(top,sk1))) != complement(sk1)
| converse(join(complement(one),complement(composition(top,sk1)))) = converse(complement(sk1)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(composition(top,sk1)))),converse(join(complement(one),complement(composition(top,sk1))))) )],[refute_0_7699,refute_0_7700]) ).
cnf(refute_0_7702,plain,
converse(join(complement(one),complement(composition(top,sk1)))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(top,sk1))),complement(sk1)) )],[refute_0_7698,refute_0_7701]) ).
cnf(refute_0_7703,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| converse(join(complement(one),complement(composition(top,sk1)))) != converse(complement(sk1))
| converse(join(complement(one),complement(composition(top,sk1)))) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(complement(one),complement(composition(top,sk1)))))),bind(Y,$fot(converse(complement(sk1)))),bind(Z,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_7704,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| converse(join(complement(one),complement(composition(top,sk1)))) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(composition(top,sk1)))),converse(complement(sk1))) )],[refute_0_7702,refute_0_7703]) ).
cnf(refute_0_7705,plain,
converse(join(complement(one),complement(composition(top,sk1)))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_4366,refute_0_7704]) ).
cnf(refute_0_7706,plain,
join(complement(one),converse(complement(composition(top,sk1)))) = converse(join(complement(one),complement(composition(top,sk1)))),
inference(subst,[],[refute_0_1764:[bind(X_12,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_7707,plain,
( converse(join(complement(one),complement(composition(top,sk1)))) != complement(converse(sk1))
| join(complement(one),converse(complement(composition(top,sk1)))) != converse(join(complement(one),complement(composition(top,sk1))))
| join(complement(one),converse(complement(composition(top,sk1)))) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),converse(complement(composition(top,sk1)))))),bind(Y,$fot(converse(join(complement(one),complement(composition(top,sk1)))))),bind(Z,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_7708,plain,
( converse(join(complement(one),complement(composition(top,sk1)))) != complement(converse(sk1))
| join(complement(one),converse(complement(composition(top,sk1)))) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(composition(top,sk1)))),converse(join(complement(one),complement(composition(top,sk1))))) )],[refute_0_7706,refute_0_7707]) ).
cnf(refute_0_7709,plain,
join(complement(one),converse(complement(composition(top,sk1)))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(composition(top,sk1)))),complement(converse(sk1))) )],[refute_0_7705,refute_0_7708]) ).
cnf(refute_0_7710,plain,
join(meet(top,complement(one)),converse(complement(composition(top,sk1)))) = join(meet(top,complement(one)),converse(complement(composition(top,sk1)))),
introduced(tautology,[refl,[$fot(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7711,plain,
( join(meet(top,complement(one)),converse(complement(composition(top,sk1)))) != join(meet(top,complement(one)),converse(complement(composition(top,sk1))))
| meet(top,complement(one)) != complement(one)
| join(meet(top,complement(one)),converse(complement(composition(top,sk1)))) = join(complement(one),converse(complement(composition(top,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))),join(meet(top,complement(one)),converse(complement(composition(top,sk1))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_7712,plain,
( meet(top,complement(one)) != complement(one)
| join(meet(top,complement(one)),converse(complement(composition(top,sk1)))) = join(complement(one),converse(complement(composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))),join(meet(top,complement(one)),converse(complement(composition(top,sk1))))) )],[refute_0_7710,refute_0_7711]) ).
cnf(refute_0_7713,plain,
join(meet(top,complement(one)),converse(complement(composition(top,sk1)))) = join(complement(one),converse(complement(composition(top,sk1)))),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_4957,refute_0_7712]) ).
cnf(refute_0_7714,plain,
( join(complement(one),converse(complement(composition(top,sk1)))) != complement(converse(sk1))
| join(meet(top,complement(one)),converse(complement(composition(top,sk1)))) != join(complement(one),converse(complement(composition(top,sk1))))
| join(meet(top,complement(one)),converse(complement(composition(top,sk1)))) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))),bind(Y,$fot(join(complement(one),converse(complement(composition(top,sk1)))))),bind(Z,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_7715,plain,
( join(complement(one),converse(complement(composition(top,sk1)))) != complement(converse(sk1))
| join(meet(top,complement(one)),converse(complement(composition(top,sk1)))) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))),join(complement(one),converse(complement(composition(top,sk1))))) )],[refute_0_7713,refute_0_7714]) ).
cnf(refute_0_7716,plain,
join(meet(top,complement(one)),converse(complement(composition(top,sk1)))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(composition(top,sk1)))),complement(converse(sk1))) )],[refute_0_7709,refute_0_7715]) ).
cnf(refute_0_7717,plain,
complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))) = complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))]]) ).
cnf(refute_0_7718,plain,
( complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))) != complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))
| join(meet(top,complement(one)),converse(complement(composition(top,sk1)))) != complement(converse(sk1))
| complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))) = complement(complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) ),[1,0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_7719,plain,
( join(meet(top,complement(one)),converse(complement(composition(top,sk1)))) != complement(converse(sk1))
| complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))) = complement(complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) )],[refute_0_7717,refute_0_7718]) ).
cnf(refute_0_7720,plain,
complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))) = complement(complement(converse(sk1))),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))),complement(converse(sk1))) )],[refute_0_7716,refute_0_7719]) ).
cnf(refute_0_7721,plain,
( complement(complement(converse(sk1))) != converse(sk1)
| complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))) != complement(complement(converse(sk1)))
| complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))) = converse(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))),bind(Y,$fot(complement(complement(converse(sk1))))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_7722,plain,
( complement(complement(converse(sk1))) != converse(sk1)
| complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))),complement(complement(converse(sk1)))) )],[refute_0_7720,refute_0_7721]) ).
cnf(refute_0_7723,plain,
complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))) = converse(sk1),
inference(resolve,[$cnf( $equal(complement(complement(converse(sk1))),converse(sk1)) )],[refute_0_3426,refute_0_7722]) ).
cnf(refute_0_7724,plain,
meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) = meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))))]]) ).
cnf(refute_0_7725,plain,
( complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))) != converse(sk1)
| meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) != meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))
| meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) = meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))),meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))) ),[1,1],$fot(converse(sk1))]]) ).
cnf(refute_0_7726,plain,
( complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))) != converse(sk1)
| meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) = meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))),meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))) )],[refute_0_7724,refute_0_7725]) ).
cnf(refute_0_7727,plain,
meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) = meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))),converse(sk1)) )],[refute_0_7723,refute_0_7726]) ).
cnf(refute_0_7728,plain,
( meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) != meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1))
| meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)) != converse(sk1)
| meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) = converse(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))))),bind(Y,$fot(meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_7729,plain,
( meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)) != converse(sk1)
| meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))),meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1))) )],[refute_0_7727,refute_0_7728]) ).
cnf(refute_0_7730,plain,
meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(complement(converse(sk1)),sk1))),converse(sk1)),converse(sk1)) )],[refute_0_7477,refute_0_7729]) ).
cnf(refute_0_7731,plain,
complement(join(meet(top,complement(one)),join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))),
inference(subst,[],[refute_0_4801:[bind(X_298,$fot(converse(complement(composition(complement(converse(sk1)),sk1))))),bind(X_31,$fot(meet(top,complement(one)))),bind(X_32,$fot(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7732,plain,
meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = complement(join(meet(top,complement(one)),join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),
inference(subst,[],[refute_0_4975:[bind(X_279,$fot(top)),bind(X_299,$fot(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7733,plain,
( complement(join(meet(top,complement(one)),join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))
| meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != complement(join(meet(top,complement(one)),join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))),bind(Y,$fot(complement(join(meet(top,complement(one)),join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))),bind(Z,$fot(meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))))]]) ).
cnf(refute_0_7734,plain,
( complement(join(meet(top,complement(one)),join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))
| meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),complement(join(meet(top,complement(one)),join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7732,refute_0_7733]) ).
cnf(refute_0_7735,plain,
meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))) )],[refute_0_7731,refute_0_7734]) ).
cnf(refute_0_7736,plain,
meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) = meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(join(one,complement(top)))),bind(X_7,$fot(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7737,plain,
( meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) != meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))
| meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) = meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))))),bind(Y,$fot(meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))),bind(Z,$fot(meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))))]]) ).
cnf(refute_0_7738,plain,
( meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))
| meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) = meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))),meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7736,refute_0_7737]) ).
cnf(refute_0_7739,plain,
meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) = meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))) )],[refute_0_7735,refute_0_7738]) ).
cnf(refute_0_7740,plain,
( meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) != meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))
| meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) != converse(sk1)
| meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) = converse(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))))),bind(Y,$fot(meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))))),bind(Z,$fot(converse(sk1)))]]) ).
cnf(refute_0_7741,plain,
( meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))) != converse(sk1)
| meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))),meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1))))))) )],[refute_0_7739,refute_0_7740]) ).
cnf(refute_0_7742,plain,
meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) = converse(sk1),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(complement(converse(sk1)),sk1))),complement(join(meet(top,complement(one)),converse(complement(composition(top,sk1)))))),converse(sk1)) )],[refute_0_7730,refute_0_7741]) ).
cnf(refute_0_7743,plain,
( meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) != meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top)))
| meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))) != converse(sk1)
| meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) = converse(sk1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)) ),[0],$fot(meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))))]]) ).
cnf(refute_0_7744,plain,
( meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) != meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top)))
| meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top))),converse(sk1)) )],[refute_0_7742,refute_0_7743]) ).
cnf(refute_0_7745,plain,
( complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top)))
| meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top)))) )],[refute_0_7473,refute_0_7744]) ).
cnf(refute_0_7746,plain,
meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) = converse(sk1),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),meet(complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,complement(top)))) )],[refute_0_7466,refute_0_7745]) ).
cnf(refute_0_7747,plain,
( meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(sk1)
| meet(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) != zero
| meet(converse(complement(composition(top,sk1))),converse(sk1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))),zero) ),[0,1],$fot(converse(sk1))]]) ).
cnf(refute_0_7748,plain,
( meet(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) != zero
| meet(converse(complement(composition(top,sk1))),converse(sk1)) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)) )],[refute_0_7746,refute_0_7747]) ).
cnf(refute_0_7749,plain,
meet(converse(complement(composition(top,sk1))),converse(sk1)) = zero,
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))),zero) )],[refute_0_7437,refute_0_7748]) ).
cnf(refute_0_7750,plain,
meet(converse(complement(composition(top,sk1))),converse(sk1)) = meet(converse(sk1),converse(complement(composition(top,sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(sk1))),bind(X_7,$fot(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7751,plain,
( meet(converse(complement(composition(top,sk1))),converse(sk1)) != meet(converse(sk1),converse(complement(composition(top,sk1))))
| meet(converse(complement(composition(top,sk1))),converse(sk1)) != zero
| meet(converse(sk1),converse(complement(composition(top,sk1)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(composition(top,sk1))),converse(sk1)),zero) ),[0],$fot(meet(converse(sk1),converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7752,plain,
( meet(converse(complement(composition(top,sk1))),converse(sk1)) != zero
| meet(converse(sk1),converse(complement(composition(top,sk1)))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(top,sk1))),converse(sk1)),meet(converse(sk1),converse(complement(composition(top,sk1))))) )],[refute_0_7750,refute_0_7751]) ).
cnf(refute_0_7753,plain,
meet(converse(sk1),converse(complement(composition(top,sk1)))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(top,sk1))),converse(sk1)),zero) )],[refute_0_7749,refute_0_7752]) ).
cnf(refute_0_7754,plain,
( converse(complement(composition(top,sk1))) != meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),meet(converse(sk1),converse(complement(composition(top,sk1))))))
| meet(converse(sk1),converse(complement(composition(top,sk1)))) != zero
| converse(complement(composition(top,sk1))) = meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(top,sk1))),meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),meet(converse(sk1),converse(complement(composition(top,sk1))))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_7755,plain,
( converse(complement(composition(top,sk1))) != meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),meet(converse(sk1),converse(complement(composition(top,sk1))))))
| converse(complement(composition(top,sk1))) = meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(complement(composition(top,sk1)))),zero) )],[refute_0_7753,refute_0_7754]) ).
cnf(refute_0_7756,plain,
converse(complement(composition(top,sk1))) = meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,sk1))),meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),meet(converse(sk1),converse(complement(composition(top,sk1))))))) )],[refute_0_7390,refute_0_7755]) ).
cnf(refute_0_7757,plain,
meet(converse(complement(composition(top,sk1))),complement(converse(sk1))) = meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(converse(sk1)))),bind(X_7,$fot(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7758,plain,
join(zero,complement(converse(sk1))) = complement(converse(sk1)),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_7759,plain,
join(A,join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))) = join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(complement(converse(sk1)))),bind(X_32,$fot(meet(converse(sk1),converse(complement(sk1)))))]]) ).
cnf(refute_0_7760,plain,
converse(complement(sk1)) = join(meet(converse(complement(sk1)),converse(sk1)),meet(complement(converse(sk1)),converse(complement(sk1)))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(converse(sk1))),bind(X_117,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_7761,plain,
( converse(complement(sk1)) != join(meet(converse(complement(sk1)),converse(sk1)),meet(complement(converse(sk1)),converse(complement(sk1))))
| meet(complement(converse(sk1)),converse(complement(sk1))) != complement(converse(sk1))
| converse(complement(sk1)) = join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(sk1)),join(meet(converse(complement(sk1)),converse(sk1)),meet(complement(converse(sk1)),converse(complement(sk1))))) ),[1,1],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_7762,plain,
( converse(complement(sk1)) != join(meet(converse(complement(sk1)),converse(sk1)),meet(complement(converse(sk1)),converse(complement(sk1))))
| converse(complement(sk1)) = join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(sk1))),complement(converse(sk1))) )],[refute_0_3358,refute_0_7761]) ).
cnf(refute_0_7763,plain,
converse(complement(sk1)) = join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),join(meet(converse(complement(sk1)),converse(sk1)),meet(complement(converse(sk1)),converse(complement(sk1))))) )],[refute_0_7760,refute_0_7762]) ).
cnf(refute_0_7764,plain,
join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))) = join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))),
introduced(tautology,[refl,[$fot(join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))))]]) ).
cnf(refute_0_7765,plain,
( join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))) != join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1)))
| meet(converse(complement(sk1)),converse(sk1)) != meet(converse(sk1),converse(complement(sk1)))
| join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))) = join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))),join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1)))) ),[1,1],$fot(meet(converse(sk1),converse(complement(sk1))))]]) ).
cnf(refute_0_7766,plain,
( meet(converse(complement(sk1)),converse(sk1)) != meet(converse(sk1),converse(complement(sk1)))
| join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))) = join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))),join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1)))) )],[refute_0_7764,refute_0_7765]) ).
cnf(refute_0_7767,plain,
join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))) = join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(sk1)),converse(sk1)),meet(converse(sk1),converse(complement(sk1)))) )],[refute_0_3362,refute_0_7766]) ).
cnf(refute_0_7768,plain,
join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1))) = join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(converse(sk1)))),bind(B,$fot(meet(converse(complement(sk1)),converse(sk1))))]]) ).
cnf(refute_0_7769,plain,
( join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))) != join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))
| join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1))) != join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1)))
| join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1))) = join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1))))),bind(Y,$fot(join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))))),bind(Z,$fot(join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))))]]) ).
cnf(refute_0_7770,plain,
( join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))) != join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))
| join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1))) = join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1))),join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1)))) )],[refute_0_7768,refute_0_7769]) ).
cnf(refute_0_7771,plain,
join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1))) = join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),meet(converse(complement(sk1)),converse(sk1))),join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))) )],[refute_0_7767,refute_0_7770]) ).
cnf(refute_0_7772,plain,
( converse(complement(sk1)) != join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1)))
| join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1))) != join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))
| converse(complement(sk1)) = join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(sk1)),join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))) ),[0],$fot(join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1))))]]) ).
cnf(refute_0_7773,plain,
( converse(complement(sk1)) != join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1)))
| converse(complement(sk1)) = join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1))),join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))) )],[refute_0_7771,refute_0_7772]) ).
cnf(refute_0_7774,plain,
converse(complement(sk1)) = join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),join(meet(converse(complement(sk1)),converse(sk1)),complement(converse(sk1)))) )],[refute_0_7763,refute_0_7773]) ).
cnf(refute_0_7775,plain,
( converse(complement(sk1)) != join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))
| join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1)))) = converse(complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(sk1)))),bind(Y,$fot(join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))))]]) ).
cnf(refute_0_7776,plain,
join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1)))) = converse(complement(sk1)),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))) )],[refute_0_7774,refute_0_7775]) ).
cnf(refute_0_7777,plain,
( join(A,join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))) != join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))
| join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1)))) != converse(complement(sk1))
| join(A,converse(complement(sk1))) = join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))),join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))) ),[0,1],$fot(converse(complement(sk1)))]]) ).
cnf(refute_0_7778,plain,
( join(A,join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))) != join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))
| join(A,converse(complement(sk1))) = join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1)))),converse(complement(sk1))) )],[refute_0_7776,refute_0_7777]) ).
cnf(refute_0_7779,plain,
join(A,converse(complement(sk1))) = join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)),
inference(resolve,[$cnf( $equal(join(A,join(complement(converse(sk1)),meet(converse(sk1),converse(complement(sk1))))),join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))) )],[refute_0_7759,refute_0_7778]) ).
cnf(refute_0_7780,plain,
join(A,converse(complement(sk1))) = join(A,converse(complement(sk1))),
introduced(tautology,[refl,[$fot(join(A,converse(complement(sk1))))]]) ).
cnf(refute_0_7781,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| join(A,converse(complement(sk1))) != join(A,converse(complement(sk1)))
| join(A,converse(complement(sk1))) = join(A,complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(complement(sk1))),join(A,converse(complement(sk1)))) ),[1,1],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_7782,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| join(A,converse(complement(sk1))) = join(A,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(sk1))),join(A,converse(complement(sk1)))) )],[refute_0_7780,refute_0_7781]) ).
cnf(refute_0_7783,plain,
join(A,converse(complement(sk1))) = join(A,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_4366,refute_0_7782]) ).
cnf(refute_0_7784,plain,
( join(A,converse(complement(sk1))) != join(A,complement(converse(sk1)))
| join(A,converse(complement(sk1))) != join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))
| join(A,complement(converse(sk1))) = join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(complement(sk1))),join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))) ),[0],$fot(join(A,complement(converse(sk1))))]]) ).
cnf(refute_0_7785,plain,
( join(A,converse(complement(sk1))) != join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))
| join(A,complement(converse(sk1))) = join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(sk1))),join(A,complement(converse(sk1)))) )],[refute_0_7783,refute_0_7784]) ).
cnf(refute_0_7786,plain,
join(meet(converse(sk1),converse(complement(sk1))),A) = join(meet(converse(sk1),converse(complement(sk1))),A),
introduced(tautology,[refl,[$fot(join(meet(converse(sk1),converse(complement(sk1))),A))]]) ).
cnf(refute_0_7787,plain,
( join(meet(converse(sk1),converse(complement(sk1))),A) != join(meet(converse(sk1),converse(complement(sk1))),A)
| meet(converse(sk1),converse(complement(sk1))) != zero
| join(meet(converse(sk1),converse(complement(sk1))),A) = join(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(converse(sk1),converse(complement(sk1))),A),join(meet(converse(sk1),converse(complement(sk1))),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7788,plain,
( meet(converse(sk1),converse(complement(sk1))) != zero
| join(meet(converse(sk1),converse(complement(sk1))),A) = join(zero,A) ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),converse(complement(sk1))),A),join(meet(converse(sk1),converse(complement(sk1))),A)) )],[refute_0_7786,refute_0_7787]) ).
cnf(refute_0_7789,plain,
join(meet(converse(sk1),converse(complement(sk1))),A) = join(zero,A),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(complement(sk1))),zero) )],[refute_0_4389,refute_0_7788]) ).
cnf(refute_0_7790,plain,
( join(meet(converse(sk1),converse(complement(sk1))),A) != join(zero,A)
| join(zero,A) != A
| join(meet(converse(sk1),converse(complement(sk1))),A) = A ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(converse(sk1),converse(complement(sk1))),A))),bind(Y,$fot(join(zero,A))),bind(Z,$fot(A))]]) ).
cnf(refute_0_7791,plain,
( join(zero,A) != A
| join(meet(converse(sk1),converse(complement(sk1))),A) = A ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),converse(complement(sk1))),A),join(zero,A)) )],[refute_0_7789,refute_0_7790]) ).
cnf(refute_0_7792,plain,
join(meet(converse(sk1),converse(complement(sk1))),A) = A,
inference(resolve,[$cnf( $equal(join(zero,A),A) )],[refute_0_1385,refute_0_7791]) ).
cnf(refute_0_7793,plain,
join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)) = join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)),
introduced(tautology,[refl,[$fot(join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)))]]) ).
cnf(refute_0_7794,plain,
( join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)) != join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))
| join(meet(converse(sk1),converse(complement(sk1))),A) != A
| join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)) = join(complement(converse(sk1)),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)),join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_7795,plain,
( join(meet(converse(sk1),converse(complement(sk1))),A) != A
| join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)) = join(complement(converse(sk1)),A) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)),join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))) )],[refute_0_7793,refute_0_7794]) ).
cnf(refute_0_7796,plain,
join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)) = join(complement(converse(sk1)),A),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),converse(complement(sk1))),A),A) )],[refute_0_7792,refute_0_7795]) ).
cnf(refute_0_7797,plain,
( join(A,complement(converse(sk1))) != join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))
| join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)) != join(complement(converse(sk1)),A)
| join(A,complement(converse(sk1))) = join(complement(converse(sk1)),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,complement(converse(sk1))),join(complement(converse(sk1)),A)) ),[0],$fot(join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)))]]) ).
cnf(refute_0_7798,plain,
( join(A,complement(converse(sk1))) != join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))
| join(A,complement(converse(sk1))) = join(complement(converse(sk1)),A) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A)),join(complement(converse(sk1)),A)) )],[refute_0_7796,refute_0_7797]) ).
cnf(refute_0_7799,plain,
( join(A,converse(complement(sk1))) != join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))
| join(A,complement(converse(sk1))) = join(complement(converse(sk1)),A) ),
inference(resolve,[$cnf( $equal(join(A,complement(converse(sk1))),join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))) )],[refute_0_7785,refute_0_7798]) ).
cnf(refute_0_7800,plain,
join(A,complement(converse(sk1))) = join(complement(converse(sk1)),A),
inference(resolve,[$cnf( $equal(join(A,converse(complement(sk1))),join(complement(converse(sk1)),join(meet(converse(sk1),converse(complement(sk1))),A))) )],[refute_0_7779,refute_0_7799]) ).
cnf(refute_0_7801,plain,
( join(A,complement(converse(sk1))) != join(complement(converse(sk1)),A)
| join(complement(converse(sk1)),A) = join(A,complement(converse(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,complement(converse(sk1))))),bind(Y,$fot(join(complement(converse(sk1)),A)))]]) ).
cnf(refute_0_7802,plain,
join(complement(converse(sk1)),A) = join(A,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(join(A,complement(converse(sk1))),join(complement(converse(sk1)),A)) )],[refute_0_7800,refute_0_7801]) ).
cnf(refute_0_7803,plain,
join(complement(converse(sk1)),zero) = join(zero,complement(converse(sk1))),
inference(subst,[],[refute_0_7802:[bind(A,$fot(zero))]]) ).
cnf(refute_0_7804,plain,
( join(complement(converse(sk1)),zero) != join(zero,complement(converse(sk1)))
| join(zero,complement(converse(sk1))) != complement(converse(sk1))
| join(complement(converse(sk1)),zero) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(sk1)),zero))),bind(Y,$fot(join(zero,complement(converse(sk1))))),bind(Z,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_7805,plain,
( join(zero,complement(converse(sk1))) != complement(converse(sk1))
| join(complement(converse(sk1)),zero) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),zero),join(zero,complement(converse(sk1)))) )],[refute_0_7803,refute_0_7804]) ).
cnf(refute_0_7806,plain,
join(complement(converse(sk1)),zero) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(sk1))),complement(converse(sk1))) )],[refute_0_7758,refute_0_7805]) ).
cnf(refute_0_7807,plain,
meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)) = meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)),
introduced(tautology,[refl,[$fot(meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)))]]) ).
cnf(refute_0_7808,plain,
( join(complement(converse(sk1)),zero) != complement(converse(sk1))
| meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)) != meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero))
| meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)) = meet(converse(complement(composition(top,sk1))),complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)),meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero))) ),[1,1],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_7809,plain,
( join(complement(converse(sk1)),zero) != complement(converse(sk1))
| meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)) = meet(converse(complement(composition(top,sk1))),complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)),meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero))) )],[refute_0_7807,refute_0_7808]) ).
cnf(refute_0_7810,plain,
meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)) = meet(converse(complement(composition(top,sk1))),complement(converse(sk1))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),zero),complement(converse(sk1))) )],[refute_0_7806,refute_0_7809]) ).
cnf(refute_0_7811,plain,
( meet(converse(complement(composition(top,sk1))),complement(converse(sk1))) != meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))
| meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)) != meet(converse(complement(composition(top,sk1))),complement(converse(sk1)))
| meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)) = meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)))),bind(Y,$fot(meet(converse(complement(composition(top,sk1))),complement(converse(sk1))))),bind(Z,$fot(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))]]) ).
cnf(refute_0_7812,plain,
( meet(converse(complement(composition(top,sk1))),complement(converse(sk1))) != meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))
| meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)) = meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)),meet(converse(complement(composition(top,sk1))),complement(converse(sk1)))) )],[refute_0_7810,refute_0_7811]) ).
cnf(refute_0_7813,plain,
meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)) = meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(top,sk1))),complement(converse(sk1))),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) )],[refute_0_7757,refute_0_7812]) ).
cnf(refute_0_7814,plain,
( converse(complement(composition(top,sk1))) != meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero))
| meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)) != meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))
| converse(complement(composition(top,sk1))) = meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) ),[0],$fot(meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)))]]) ).
cnf(refute_0_7815,plain,
( converse(complement(composition(top,sk1))) != meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero))
| converse(complement(composition(top,sk1))) = meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero)),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) )],[refute_0_7813,refute_0_7814]) ).
cnf(refute_0_7816,plain,
converse(complement(composition(top,sk1))) = meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,sk1))),meet(converse(complement(composition(top,sk1))),join(complement(converse(sk1)),zero))) )],[refute_0_7756,refute_0_7815]) ).
cnf(refute_0_7817,plain,
( converse(complement(composition(top,sk1))) != meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))
| meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))) = converse(complement(composition(top,sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(composition(top,sk1))))),bind(Y,$fot(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))]]) ).
cnf(refute_0_7818,plain,
meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))) = converse(complement(composition(top,sk1))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) )],[refute_0_7816,refute_0_7817]) ).
cnf(refute_0_7819,plain,
( complement(converse(sk1)) != join(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))))
| meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))) != converse(complement(composition(top,sk1)))
| complement(converse(sk1)) = join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(sk1)),join(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))))) ),[1,0],$fot(converse(complement(composition(top,sk1))))]]) ).
cnf(refute_0_7820,plain,
( complement(converse(sk1)) != join(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))))
| complement(converse(sk1)) = join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))),converse(complement(composition(top,sk1)))) )],[refute_0_7818,refute_0_7819]) ).
cnf(refute_0_7821,plain,
complement(converse(sk1)) = join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))))) )],[refute_0_7389,refute_0_7820]) ).
cnf(refute_0_7822,plain,
converse(join(sk1,complement(composition(top,sk1)))) = converse(join(sk1,complement(composition(top,sk1)))),
introduced(tautology,[refl,[$fot(converse(join(sk1,complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7823,plain,
( converse(join(sk1,complement(composition(top,sk1)))) != converse(join(sk1,complement(composition(top,sk1))))
| join(sk1,complement(composition(top,sk1))) != complement(composition(complement(converse(sk1)),sk1))
| converse(join(sk1,complement(composition(top,sk1)))) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,complement(composition(top,sk1)))),converse(join(sk1,complement(composition(top,sk1))))) ),[1,0],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_7824,plain,
( join(sk1,complement(composition(top,sk1))) != complement(composition(complement(converse(sk1)),sk1))
| converse(join(sk1,complement(composition(top,sk1)))) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(composition(top,sk1)))),converse(join(sk1,complement(composition(top,sk1))))) )],[refute_0_7822,refute_0_7823]) ).
cnf(refute_0_7825,plain,
converse(join(sk1,complement(composition(top,sk1)))) = converse(complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(join(sk1,complement(composition(top,sk1))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7236,refute_0_7824]) ).
cnf(refute_0_7826,plain,
join(converse(sk1),converse(complement(composition(top,sk1)))) = converse(join(sk1,complement(composition(top,sk1)))),
inference(subst,[],[refute_0_849:[bind(A,$fot(sk1)),bind(B,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_7827,plain,
( converse(join(sk1,complement(composition(top,sk1)))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| join(converse(sk1),converse(complement(composition(top,sk1)))) != converse(join(sk1,complement(composition(top,sk1))))
| join(converse(sk1),converse(complement(composition(top,sk1)))) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),converse(complement(composition(top,sk1)))))),bind(Y,$fot(converse(join(sk1,complement(composition(top,sk1)))))),bind(Z,$fot(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_7828,plain,
( converse(join(sk1,complement(composition(top,sk1)))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| join(converse(sk1),converse(complement(composition(top,sk1)))) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(complement(composition(top,sk1)))),converse(join(sk1,complement(composition(top,sk1))))) )],[refute_0_7826,refute_0_7827]) ).
cnf(refute_0_7829,plain,
join(converse(sk1),converse(complement(composition(top,sk1)))) = converse(complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_7825,refute_0_7828]) ).
cnf(refute_0_7830,plain,
join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) = join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))),
introduced(tautology,[refl,[$fot(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))]]) ).
cnf(refute_0_7831,plain,
( join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) != join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))
| meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))) != converse(complement(composition(top,sk1)))
| join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) = join(converse(sk1),converse(complement(composition(top,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))),join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) ),[1,1],$fot(converse(complement(composition(top,sk1))))]]) ).
cnf(refute_0_7832,plain,
( meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))) != converse(complement(composition(top,sk1)))
| join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) = join(converse(sk1),converse(complement(composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))),join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) )],[refute_0_7830,refute_0_7831]) ).
cnf(refute_0_7833,plain,
join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) = join(converse(sk1),converse(complement(composition(top,sk1)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))),converse(complement(composition(top,sk1)))) )],[refute_0_7818,refute_0_7832]) ).
cnf(refute_0_7834,plain,
( join(converse(sk1),converse(complement(composition(top,sk1)))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) != join(converse(sk1),converse(complement(composition(top,sk1))))
| join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))),bind(Y,$fot(join(converse(sk1),converse(complement(composition(top,sk1)))))),bind(Z,$fot(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_7835,plain,
( join(converse(sk1),converse(complement(composition(top,sk1)))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))),join(converse(sk1),converse(complement(composition(top,sk1))))) )],[refute_0_7833,refute_0_7834]) ).
cnf(refute_0_7836,plain,
join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) = converse(complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_7829,refute_0_7835]) ).
cnf(refute_0_7837,plain,
complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) = complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))),
introduced(tautology,[refl,[$fot(complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))))]]) ).
cnf(refute_0_7838,plain,
( complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) != complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))
| join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))),complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))) ),[1,0],$fot(converse(complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_7839,plain,
( join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))),complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))) )],[refute_0_7837,refute_0_7838]) ).
cnf(refute_0_7840,plain,
complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))),converse(complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_7836,refute_0_7839]) ).
cnf(refute_0_7841,plain,
meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) = complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))),bind(X_97,$fot(converse(sk1)))]]) ).
cnf(refute_0_7842,plain,
( complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) != complement(converse(complement(composition(complement(converse(sk1)),sk1))))
| meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) != complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))
| meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))))),bind(Y,$fot(complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))))),bind(Z,$fot(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_7843,plain,
( complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) != complement(converse(complement(composition(complement(converse(sk1)),sk1))))
| meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))),complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))) )],[refute_0_7841,refute_0_7842]) ).
cnf(refute_0_7844,plain,
meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_7840,refute_0_7843]) ).
cnf(refute_0_7845,plain,
join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))) = join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))),
introduced(tautology,[refl,[$fot(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))))]]) ).
cnf(refute_0_7846,plain,
( join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))) != join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))))
| meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) != complement(converse(complement(composition(complement(converse(sk1)),sk1))))
| join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))) = join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))),join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))))) ),[1,1],$fot(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_7847,plain,
( meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))) != complement(converse(complement(composition(complement(converse(sk1)),sk1))))
| join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))) = join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))),join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))))) )],[refute_0_7845,refute_0_7846]) ).
cnf(refute_0_7848,plain,
join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))) = join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_7844,refute_0_7847]) ).
cnf(refute_0_7849,plain,
( complement(converse(sk1)) != join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))))
| join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))) != join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))
| complement(converse(sk1)) = join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(sk1)),join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),[0],$fot(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))))]]) ).
cnf(refute_0_7850,plain,
( complement(converse(sk1)) != join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))))
| complement(converse(sk1)) = join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1))))))),join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_7848,refute_0_7849]) ).
cnf(refute_0_7851,plain,
complement(converse(sk1)) = join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),complement(meet(complement(converse(sk1)),converse(complement(composition(top,sk1)))))))) )],[refute_0_7821,refute_0_7850]) ).
cnf(refute_0_7852,plain,
( complement(converse(sk1)) != join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))
| join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(converse(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(sk1)))),bind(Y,$fot(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7853,plain,
join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_7851,refute_0_7852]) ).
cnf(refute_0_7854,plain,
( complement(converse(complement(composition(top,sk1)))) != meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(converse(sk1))
| complement(converse(complement(composition(top,sk1)))) = meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(top,sk1)))),meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) ),[1,1,1,0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_7855,plain,
( complement(converse(complement(composition(top,sk1)))) != meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| complement(converse(complement(composition(top,sk1)))) = meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(converse(sk1))) )],[refute_0_7853,refute_0_7854]) ).
cnf(refute_0_7856,plain,
complement(converse(complement(composition(top,sk1)))) = meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,sk1)))),meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(join(converse(complement(composition(top,sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7388,refute_0_7855]) ).
cnf(refute_0_7857,plain,
meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),bind(X_97,$fot(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_7858,plain,
join(complement(complement(converse(sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(complement(converse(sk1)))),bind(B,$fot(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_7859,plain,
join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))) = join(complement(complement(converse(sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),bind(B,$fot(complement(complement(converse(sk1)))))]]) ).
cnf(refute_0_7860,plain,
( join(complement(complement(converse(sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))
| join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))) != join(complement(complement(converse(sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))
| join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))) = complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))))),bind(Y,$fot(join(complement(complement(converse(sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),bind(Z,$fot(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7861,plain,
( join(complement(complement(converse(sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))
| join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))) = complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))),join(complement(complement(converse(sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_7859,refute_0_7860]) ).
cnf(refute_0_7862,plain,
join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))) = complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_7858,refute_0_7861]) ).
cnf(refute_0_7863,plain,
meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))) = meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))),
introduced(tautology,[refl,[$fot(meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))))]]) ).
cnf(refute_0_7864,plain,
( join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))) != complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))
| meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))) != meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))))
| meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))) = meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))),meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))))) ),[1,1],$fot(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_7865,plain,
( join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))) != complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))
| meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))) = meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))),meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))))) )],[refute_0_7863,refute_0_7864]) ).
cnf(refute_0_7866,plain,
meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))) = meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_7862,refute_0_7865]) ).
cnf(refute_0_7867,plain,
( meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))
| meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))) != meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))
| meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))) = complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))))),bind(Y,$fot(meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Z,$fot(complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7868,plain,
( meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))
| meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))) = complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7866,refute_0_7867]) ).
cnf(refute_0_7869,plain,
meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))) = complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7857,refute_0_7868]) ).
cnf(refute_0_7870,plain,
( complement(converse(complement(composition(top,sk1)))) != meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))))
| meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))) != complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))
| complement(converse(complement(composition(top,sk1)))) = complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(composition(top,sk1)))),complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))) ),[0],$fot(meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))))]]) ).
cnf(refute_0_7871,plain,
( complement(converse(complement(composition(top,sk1)))) != meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))))
| complement(converse(complement(composition(top,sk1)))) = complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1))))),complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7869,refute_0_7870]) ).
cnf(refute_0_7872,plain,
complement(converse(complement(composition(top,sk1)))) = complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,sk1)))),meet(complement(converse(complement(composition(top,sk1)))),join(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(sk1)))))) )],[refute_0_7856,refute_0_7871]) ).
cnf(refute_0_7873,plain,
( complement(converse(complement(composition(top,sk1)))) != complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))
| complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(top,sk1)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(complement(composition(top,sk1)))))),bind(Y,$fot(complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7874,plain,
complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(top,sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,sk1)))),complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7872,refute_0_7873]) ).
cnf(refute_0_7875,plain,
( complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(converse(complement(composition(top,sk1))))
| meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))
| meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(top,sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Y,$fot(complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Z,$fot(complement(converse(complement(composition(top,sk1))))))]]) ).
cnf(refute_0_7876,plain,
( complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(converse(complement(composition(top,sk1))))
| meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7857,refute_0_7875]) ).
cnf(refute_0_7877,plain,
meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(top,sk1)))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),complement(converse(complement(composition(top,sk1))))) )],[refute_0_7874,refute_0_7876]) ).
cnf(refute_0_7878,plain,
complement(converse(complement(composition(top,sk1)))) = join(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))),
inference(subst,[],[refute_0_4629:[bind(X_117,$fot(complement(converse(complement(composition(top,sk1)))))),bind(X_348,$fot(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_7879,plain,
( complement(converse(complement(composition(top,sk1)))) != join(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))))
| meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(sk1)
| complement(converse(complement(composition(top,sk1)))) = join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(top,sk1)))),join(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_7880,plain,
( complement(converse(complement(composition(top,sk1)))) != join(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))))
| complement(converse(complement(composition(top,sk1)))) = join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)) )],[refute_0_7746,refute_0_7879]) ).
cnf(refute_0_7881,plain,
complement(converse(complement(composition(top,sk1)))) = join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,sk1)))),join(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7878,refute_0_7880]) ).
cnf(refute_0_7882,plain,
join(A,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(converse(sk1))),bind(X_32,$fot(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7883,plain,
converse(sk1) = join(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(converse(complement(composition(complement(converse(sk1)),sk1))))),bind(X_117,$fot(converse(sk1)))]]) ).
cnf(refute_0_7884,plain,
( converse(sk1) != join(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)))
| meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(sk1)
| converse(sk1) = join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(sk1),join(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_7885,plain,
( converse(sk1) != join(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)))
| converse(sk1) = join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)) )],[refute_0_7379,refute_0_7884]) ).
cnf(refute_0_7886,plain,
converse(sk1) = join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))),
inference(resolve,[$cnf( $equal(converse(sk1),join(meet(converse(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)))) )],[refute_0_7883,refute_0_7885]) ).
cnf(refute_0_7887,plain,
meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)) = meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(sk1))),bind(X_7,$fot(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_7888,plain,
join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))) = join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))),
introduced(tautology,[refl,[$fot(join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))))]]) ).
cnf(refute_0_7889,plain,
( join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))) != join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)))
| meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)) != meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))
| join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))) = join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))),join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)))) ),[1,1],$fot(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_7890,plain,
( meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)) != meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))
| join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))) = join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))),join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)))) )],[refute_0_7888,refute_0_7889]) ).
cnf(refute_0_7891,plain,
join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))) = join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_7887,refute_0_7890]) ).
cnf(refute_0_7892,plain,
( converse(sk1) != join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)))
| join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))) != join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| converse(sk1) = join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(sk1),join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) ),[0],$fot(join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))))]]) ).
cnf(refute_0_7893,plain,
( converse(sk1) != join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)))
| converse(sk1) = join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1))),join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7891,refute_0_7892]) ).
cnf(refute_0_7894,plain,
converse(sk1) = join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(converse(sk1),join(converse(sk1),meet(complement(converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)))) )],[refute_0_7886,refute_0_7893]) ).
cnf(refute_0_7895,plain,
( converse(sk1) != join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(sk1))),bind(Y,$fot(join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7896,plain,
join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = converse(sk1),
inference(resolve,[$cnf( $equal(converse(sk1),join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7894,refute_0_7895]) ).
cnf(refute_0_7897,plain,
( join(A,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A))
| join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != converse(sk1)
| join(A,converse(sk1)) = join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A))) ),[0,1],$fot(converse(sk1))]]) ).
cnf(refute_0_7898,plain,
( join(A,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A))
| join(A,converse(sk1)) = join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),converse(sk1)) )],[refute_0_7896,refute_0_7897]) ).
cnf(refute_0_7899,plain,
join(A,converse(sk1)) = join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)),
inference(resolve,[$cnf( $equal(join(A,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A))) )],[refute_0_7882,refute_0_7898]) ).
cnf(refute_0_7900,plain,
meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = zero,
inference(subst,[],[refute_0_7417:[bind(X_298,$fot(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),bind(X_40,$fot(one))]]) ).
cnf(refute_0_7901,plain,
join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) = join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),
inference(subst,[],[refute_0_5843:[bind(A,$fot(converse(sk1))),bind(B,$fot(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7902,plain,
( join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != converse(sk1)
| join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) != join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) = join(one,converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))),join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),[1,1],$fot(converse(sk1))]]) ).
cnf(refute_0_7903,plain,
( join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) != join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) = join(one,converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),converse(sk1)) )],[refute_0_7896,refute_0_7902]) ).
cnf(refute_0_7904,plain,
join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) = join(one,converse(sk1)),
inference(resolve,[$cnf( $equal(join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))),join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7901,refute_0_7903]) ).
cnf(refute_0_7905,plain,
join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),one) = join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(subst,[],[refute_0_1401:[bind(A,$fot(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7906,plain,
join(A,join(one,meet(one,converse(join(sk1,complement(one)))))) = join(one,join(meet(one,converse(join(sk1,complement(one)))),A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(one)),bind(X_32,$fot(meet(one,converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_7907,plain,
join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one)))))) = join(one,meet(one,converse(join(sk1,complement(one))))),
inference(subst,[],[refute_0_5580:[bind(C,$fot(meet(one,converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_7908,plain,
one = join(meet(one,complement(converse(join(sk1,complement(one))))),meet(complement(complement(converse(join(sk1,complement(one))))),one)),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(complement(converse(join(sk1,complement(one)))))),bind(X_117,$fot(one))]]) ).
cnf(refute_0_7909,plain,
complement(converse(join(sk1,complement(one)))) = meet(complement(converse(join(sk1,complement(one)))),join(converse(sk1),complement(converse(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_1000:[bind(X_118,$fot(converse(sk1))),bind(X_119,$fot(complement(converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_7910,plain,
join(converse(sk1),complement(join(complement(one),converse(sk1)))) = join(converse(sk1),complement(join(complement(one),converse(sk1)))),
introduced(tautology,[refl,[$fot(join(converse(sk1),complement(join(complement(one),converse(sk1)))))]]) ).
cnf(refute_0_7911,plain,
( complement(join(complement(one),converse(sk1))) != complement(converse(join(sk1,complement(one))))
| join(converse(sk1),complement(join(complement(one),converse(sk1)))) != join(converse(sk1),complement(join(complement(one),converse(sk1))))
| join(converse(sk1),complement(join(complement(one),converse(sk1)))) = join(converse(sk1),complement(converse(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),complement(join(complement(one),converse(sk1)))),join(converse(sk1),complement(join(complement(one),converse(sk1))))) ),[1,1],$fot(complement(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_7912,plain,
( complement(join(complement(one),converse(sk1))) != complement(converse(join(sk1,complement(one))))
| join(converse(sk1),complement(join(complement(one),converse(sk1)))) = join(converse(sk1),complement(converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(complement(one),converse(sk1)))),join(converse(sk1),complement(join(complement(one),converse(sk1))))) )],[refute_0_7910,refute_0_7911]) ).
cnf(refute_0_7913,plain,
join(converse(sk1),complement(join(complement(one),converse(sk1)))) = join(converse(sk1),complement(converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(sk1))),complement(converse(join(sk1,complement(one))))) )],[refute_0_5569,refute_0_7912]) ).
cnf(refute_0_7914,plain,
( join(converse(sk1),complement(join(complement(one),converse(sk1)))) != join(converse(sk1),complement(converse(join(sk1,complement(one)))))
| one != join(converse(sk1),complement(join(complement(one),converse(sk1))))
| one = join(converse(sk1),complement(converse(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(sk1),complement(join(complement(one),converse(sk1))))) ),[1],$fot(join(converse(sk1),complement(converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_7915,plain,
( one != join(converse(sk1),complement(join(complement(one),converse(sk1))))
| one = join(converse(sk1),complement(converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(complement(one),converse(sk1)))),join(converse(sk1),complement(converse(join(sk1,complement(one)))))) )],[refute_0_7913,refute_0_7914]) ).
cnf(refute_0_7916,plain,
one = join(converse(sk1),complement(converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(one,join(converse(sk1),complement(join(complement(one),converse(sk1))))) )],[refute_0_5560,refute_0_7915]) ).
cnf(refute_0_7917,plain,
( one != join(converse(sk1),complement(converse(join(sk1,complement(one)))))
| join(converse(sk1),complement(converse(join(sk1,complement(one))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(converse(sk1),complement(converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_7918,plain,
join(converse(sk1),complement(converse(join(sk1,complement(one))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(sk1),complement(converse(join(sk1,complement(one)))))) )],[refute_0_7916,refute_0_7917]) ).
cnf(refute_0_7919,plain,
( complement(converse(join(sk1,complement(one)))) != meet(complement(converse(join(sk1,complement(one)))),join(converse(sk1),complement(converse(join(sk1,complement(one))))))
| join(converse(sk1),complement(converse(join(sk1,complement(one))))) != one
| complement(converse(join(sk1,complement(one)))) = meet(complement(converse(join(sk1,complement(one)))),one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(sk1,complement(one)))),meet(complement(converse(join(sk1,complement(one)))),join(converse(sk1),complement(converse(join(sk1,complement(one))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_7920,plain,
( complement(converse(join(sk1,complement(one)))) != meet(complement(converse(join(sk1,complement(one)))),join(converse(sk1),complement(converse(join(sk1,complement(one))))))
| complement(converse(join(sk1,complement(one)))) = meet(complement(converse(join(sk1,complement(one)))),one) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(converse(join(sk1,complement(one))))),one) )],[refute_0_7918,refute_0_7919]) ).
cnf(refute_0_7921,plain,
complement(converse(join(sk1,complement(one)))) = meet(complement(converse(join(sk1,complement(one)))),one),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,complement(one)))),meet(complement(converse(join(sk1,complement(one)))),join(converse(sk1),complement(converse(join(sk1,complement(one))))))) )],[refute_0_7909,refute_0_7920]) ).
cnf(refute_0_7922,plain,
meet(complement(converse(join(sk1,complement(one)))),one) = meet(one,complement(converse(join(sk1,complement(one))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_7923,plain,
( complement(converse(join(sk1,complement(one)))) != meet(complement(converse(join(sk1,complement(one)))),one)
| meet(complement(converse(join(sk1,complement(one)))),one) != meet(one,complement(converse(join(sk1,complement(one)))))
| complement(converse(join(sk1,complement(one)))) = meet(one,complement(converse(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,complement(one)))))) ),[0],$fot(meet(complement(converse(join(sk1,complement(one)))),one))]]) ).
cnf(refute_0_7924,plain,
( complement(converse(join(sk1,complement(one)))) != meet(complement(converse(join(sk1,complement(one)))),one)
| complement(converse(join(sk1,complement(one)))) = meet(one,complement(converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(sk1,complement(one)))),one),meet(one,complement(converse(join(sk1,complement(one)))))) )],[refute_0_7922,refute_0_7923]) ).
cnf(refute_0_7925,plain,
complement(converse(join(sk1,complement(one)))) = meet(one,complement(converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,complement(one)))),meet(complement(converse(join(sk1,complement(one)))),one)) )],[refute_0_7921,refute_0_7924]) ).
cnf(refute_0_7926,plain,
( complement(converse(join(sk1,complement(one)))) != meet(one,complement(converse(join(sk1,complement(one)))))
| meet(one,complement(converse(join(sk1,complement(one))))) = complement(converse(join(sk1,complement(one)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(join(sk1,complement(one)))))),bind(Y,$fot(meet(one,complement(converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_7927,plain,
meet(one,complement(converse(join(sk1,complement(one))))) = complement(converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,complement(one)))),meet(one,complement(converse(join(sk1,complement(one)))))) )],[refute_0_7925,refute_0_7926]) ).
cnf(refute_0_7928,plain,
( meet(one,complement(converse(join(sk1,complement(one))))) != complement(converse(join(sk1,complement(one))))
| one != join(meet(one,complement(converse(join(sk1,complement(one))))),meet(complement(complement(converse(join(sk1,complement(one))))),one))
| one = join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(converse(join(sk1,complement(one))))),meet(complement(complement(converse(join(sk1,complement(one))))),one))) ),[1,0],$fot(complement(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_7929,plain,
( one != join(meet(one,complement(converse(join(sk1,complement(one))))),meet(complement(complement(converse(join(sk1,complement(one))))),one))
| one = join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(sk1,complement(one))))),complement(converse(join(sk1,complement(one))))) )],[refute_0_7927,refute_0_7928]) ).
cnf(refute_0_7930,plain,
one = join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(converse(join(sk1,complement(one))))),meet(complement(complement(converse(join(sk1,complement(one))))),one))) )],[refute_0_7908,refute_0_7929]) ).
cnf(refute_0_7931,plain,
complement(complement(converse(join(sk1,complement(one))))) = converse(join(sk1,complement(one))),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_7932,plain,
meet(one,complement(complement(converse(join(sk1,complement(one)))))) = meet(one,complement(complement(converse(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_7933,plain,
( complement(complement(converse(join(sk1,complement(one))))) != converse(join(sk1,complement(one)))
| meet(one,complement(complement(converse(join(sk1,complement(one)))))) != meet(one,complement(complement(converse(join(sk1,complement(one))))))
| meet(one,complement(complement(converse(join(sk1,complement(one)))))) = meet(one,converse(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(converse(join(sk1,complement(one)))))),meet(one,complement(complement(converse(join(sk1,complement(one))))))) ),[1,1],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_7934,plain,
( complement(complement(converse(join(sk1,complement(one))))) != converse(join(sk1,complement(one)))
| meet(one,complement(complement(converse(join(sk1,complement(one)))))) = meet(one,converse(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(join(sk1,complement(one)))))),meet(one,complement(complement(converse(join(sk1,complement(one))))))) )],[refute_0_7932,refute_0_7933]) ).
cnf(refute_0_7935,plain,
meet(one,complement(complement(converse(join(sk1,complement(one)))))) = meet(one,converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(join(sk1,complement(one))))),converse(join(sk1,complement(one)))) )],[refute_0_7931,refute_0_7934]) ).
cnf(refute_0_7936,plain,
meet(complement(complement(converse(join(sk1,complement(one))))),one) = meet(one,complement(complement(converse(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(complement(converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_7937,plain,
( meet(complement(complement(converse(join(sk1,complement(one))))),one) != meet(one,complement(complement(converse(join(sk1,complement(one))))))
| meet(one,complement(complement(converse(join(sk1,complement(one)))))) != meet(one,converse(join(sk1,complement(one))))
| meet(complement(complement(converse(join(sk1,complement(one))))),one) = meet(one,converse(join(sk1,complement(one)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(complement(converse(join(sk1,complement(one))))),one))),bind(Y,$fot(meet(one,complement(complement(converse(join(sk1,complement(one)))))))),bind(Z,$fot(meet(one,converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_7938,plain,
( meet(one,complement(complement(converse(join(sk1,complement(one)))))) != meet(one,converse(join(sk1,complement(one))))
| meet(complement(complement(converse(join(sk1,complement(one))))),one) = meet(one,converse(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(join(sk1,complement(one))))),one),meet(one,complement(complement(converse(join(sk1,complement(one))))))) )],[refute_0_7936,refute_0_7937]) ).
cnf(refute_0_7939,plain,
meet(complement(complement(converse(join(sk1,complement(one))))),one) = meet(one,converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(join(sk1,complement(one)))))),meet(one,converse(join(sk1,complement(one))))) )],[refute_0_7935,refute_0_7938]) ).
cnf(refute_0_7940,plain,
join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)) = join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)),
introduced(tautology,[refl,[$fot(join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)))]]) ).
cnf(refute_0_7941,plain,
( join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)) != join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one))
| meet(complement(complement(converse(join(sk1,complement(one))))),one) != meet(one,converse(join(sk1,complement(one))))
| join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)) = join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)),join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one))) ),[1,1],$fot(meet(one,converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_7942,plain,
( meet(complement(complement(converse(join(sk1,complement(one))))),one) != meet(one,converse(join(sk1,complement(one))))
| join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)) = join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)),join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one))) )],[refute_0_7940,refute_0_7941]) ).
cnf(refute_0_7943,plain,
join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)) = join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(join(sk1,complement(one))))),one),meet(one,converse(join(sk1,complement(one))))) )],[refute_0_7939,refute_0_7942]) ).
cnf(refute_0_7944,plain,
( join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)) != join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one)))))
| one != join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one))
| one = join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one))) ),[1],$fot(join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_7945,plain,
( one != join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one))
| one = join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one)),join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one)))))) )],[refute_0_7943,refute_0_7944]) ).
cnf(refute_0_7946,plain,
one = join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(one,join(complement(converse(join(sk1,complement(one)))),meet(complement(complement(converse(join(sk1,complement(one))))),one))) )],[refute_0_7930,refute_0_7945]) ).
cnf(refute_0_7947,plain,
( one != join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one)))))
| join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_7948,plain,
join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one))))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one)))))) )],[refute_0_7946,refute_0_7947]) ).
cnf(refute_0_7949,plain,
( join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one))))) != one
| join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one)))))) != join(one,meet(one,converse(join(sk1,complement(one)))))
| join(converse(sk1),one) = join(one,meet(one,converse(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one)))))),join(one,meet(one,converse(join(sk1,complement(one)))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_7950,plain,
( join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one)))))) != join(one,meet(one,converse(join(sk1,complement(one)))))
| join(converse(sk1),one) = join(one,meet(one,converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one))))),one) )],[refute_0_7948,refute_0_7949]) ).
cnf(refute_0_7951,plain,
join(converse(sk1),one) = join(one,meet(one,converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(complement(converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one)))))),join(one,meet(one,converse(join(sk1,complement(one)))))) )],[refute_0_7907,refute_0_7950]) ).
cnf(refute_0_7952,plain,
( join(converse(sk1),one) != join(one,meet(one,converse(join(sk1,complement(one)))))
| join(converse(sk1),one) != one
| one = join(one,meet(one,converse(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),one),join(one,meet(one,converse(join(sk1,complement(one)))))) ),[0],$fot(one)]]) ).
cnf(refute_0_7953,plain,
( join(converse(sk1),one) != join(one,meet(one,converse(join(sk1,complement(one)))))
| one = join(one,meet(one,converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),one),one) )],[refute_0_6166,refute_0_7952]) ).
cnf(refute_0_7954,plain,
one = join(one,meet(one,converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),one),join(one,meet(one,converse(join(sk1,complement(one)))))) )],[refute_0_7951,refute_0_7953]) ).
cnf(refute_0_7955,plain,
( one != join(one,meet(one,converse(join(sk1,complement(one)))))
| join(one,meet(one,converse(join(sk1,complement(one))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(one,converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_7956,plain,
join(one,meet(one,converse(join(sk1,complement(one))))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(one,converse(join(sk1,complement(one)))))) )],[refute_0_7954,refute_0_7955]) ).
cnf(refute_0_7957,plain,
( join(A,join(one,meet(one,converse(join(sk1,complement(one)))))) != join(one,join(meet(one,converse(join(sk1,complement(one)))),A))
| join(one,meet(one,converse(join(sk1,complement(one))))) != one
| join(A,one) = join(one,join(meet(one,converse(join(sk1,complement(one)))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(one,meet(one,converse(join(sk1,complement(one)))))),join(one,join(meet(one,converse(join(sk1,complement(one)))),A))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_7958,plain,
( join(A,join(one,meet(one,converse(join(sk1,complement(one)))))) != join(one,join(meet(one,converse(join(sk1,complement(one)))),A))
| join(A,one) = join(one,join(meet(one,converse(join(sk1,complement(one)))),A)) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,converse(join(sk1,complement(one))))),one) )],[refute_0_7956,refute_0_7957]) ).
cnf(refute_0_7959,plain,
join(A,one) = join(one,join(meet(one,converse(join(sk1,complement(one)))),A)),
inference(resolve,[$cnf( $equal(join(A,join(one,meet(one,converse(join(sk1,complement(one)))))),join(one,join(meet(one,converse(join(sk1,complement(one)))),A))) )],[refute_0_7906,refute_0_7958]) ).
cnf(refute_0_7960,plain,
join(meet(one,converse(join(sk1,complement(one)))),A) = join(meet(one,converse(join(sk1,complement(one)))),A),
introduced(tautology,[refl,[$fot(join(meet(one,converse(join(sk1,complement(one)))),A))]]) ).
cnf(refute_0_7961,plain,
( join(meet(one,converse(join(sk1,complement(one)))),A) != join(meet(one,converse(join(sk1,complement(one)))),A)
| meet(one,converse(join(sk1,complement(one)))) != converse(sk1)
| join(meet(one,converse(join(sk1,complement(one)))),A) = join(converse(sk1),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,converse(join(sk1,complement(one)))),A),join(meet(one,converse(join(sk1,complement(one)))),A)) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_7962,plain,
( meet(one,converse(join(sk1,complement(one)))) != converse(sk1)
| join(meet(one,converse(join(sk1,complement(one)))),A) = join(converse(sk1),A) ),
inference(resolve,[$cnf( $equal(join(meet(one,converse(join(sk1,complement(one)))),A),join(meet(one,converse(join(sk1,complement(one)))),A)) )],[refute_0_7960,refute_0_7961]) ).
cnf(refute_0_7963,plain,
join(meet(one,converse(join(sk1,complement(one)))),A) = join(converse(sk1),A),
inference(resolve,[$cnf( $equal(meet(one,converse(join(sk1,complement(one)))),converse(sk1)) )],[refute_0_5998,refute_0_7962]) ).
cnf(refute_0_7964,plain,
join(one,join(meet(one,converse(join(sk1,complement(one)))),A)) = join(one,join(meet(one,converse(join(sk1,complement(one)))),A)),
introduced(tautology,[refl,[$fot(join(one,join(meet(one,converse(join(sk1,complement(one)))),A)))]]) ).
cnf(refute_0_7965,plain,
( join(meet(one,converse(join(sk1,complement(one)))),A) != join(converse(sk1),A)
| join(one,join(meet(one,converse(join(sk1,complement(one)))),A)) != join(one,join(meet(one,converse(join(sk1,complement(one)))),A))
| join(one,join(meet(one,converse(join(sk1,complement(one)))),A)) = join(one,join(converse(sk1),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(meet(one,converse(join(sk1,complement(one)))),A)),join(one,join(meet(one,converse(join(sk1,complement(one)))),A))) ),[1,1],$fot(join(converse(sk1),A))]]) ).
cnf(refute_0_7966,plain,
( join(meet(one,converse(join(sk1,complement(one)))),A) != join(converse(sk1),A)
| join(one,join(meet(one,converse(join(sk1,complement(one)))),A)) = join(one,join(converse(sk1),A)) ),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,converse(join(sk1,complement(one)))),A)),join(one,join(meet(one,converse(join(sk1,complement(one)))),A))) )],[refute_0_7964,refute_0_7965]) ).
cnf(refute_0_7967,plain,
join(one,join(meet(one,converse(join(sk1,complement(one)))),A)) = join(one,join(converse(sk1),A)),
inference(resolve,[$cnf( $equal(join(meet(one,converse(join(sk1,complement(one)))),A),join(converse(sk1),A)) )],[refute_0_7963,refute_0_7966]) ).
cnf(refute_0_7968,plain,
( join(A,one) != join(one,join(meet(one,converse(join(sk1,complement(one)))),A))
| join(one,join(meet(one,converse(join(sk1,complement(one)))),A)) != join(one,join(converse(sk1),A))
| join(A,one) = join(one,join(converse(sk1),A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,one),join(one,join(converse(sk1),A))) ),[0],$fot(join(one,join(meet(one,converse(join(sk1,complement(one)))),A)))]]) ).
cnf(refute_0_7969,plain,
( join(A,one) != join(one,join(meet(one,converse(join(sk1,complement(one)))),A))
| join(A,one) = join(one,join(converse(sk1),A)) ),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,converse(join(sk1,complement(one)))),A)),join(one,join(converse(sk1),A))) )],[refute_0_7967,refute_0_7968]) ).
cnf(refute_0_7970,plain,
join(A,one) = join(one,join(converse(sk1),A)),
inference(resolve,[$cnf( $equal(join(A,one),join(one,join(meet(one,converse(join(sk1,complement(one)))),A))) )],[refute_0_7959,refute_0_7969]) ).
cnf(refute_0_7971,plain,
( join(A,one) != join(one,join(converse(sk1),A))
| join(one,join(converse(sk1),A)) = join(A,one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,one))),bind(Y,$fot(join(one,join(converse(sk1),A))))]]) ).
cnf(refute_0_7972,plain,
join(one,join(converse(sk1),A)) = join(A,one),
inference(resolve,[$cnf( $equal(join(A,one),join(one,join(converse(sk1),A))) )],[refute_0_7970,refute_0_7971]) ).
cnf(refute_0_7973,plain,
join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),one),
inference(subst,[],[refute_0_7972:[bind(A,$fot(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7974,plain,
( join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),one) != join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),one)
| join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))),bind(Y,$fot(join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),one))),bind(Z,$fot(join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7975,plain,
( join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),one) != join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),one)) )],[refute_0_7973,refute_0_7974]) ).
cnf(refute_0_7976,plain,
join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),one),join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7905,refute_0_7975]) ).
cnf(refute_0_7977,plain,
join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7978,plain,
( join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))
| join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))),bind(Y,$fot(join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))),bind(Z,$fot(join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7979,plain,
( join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7977,refute_0_7978]) ).
cnf(refute_0_7980,plain,
join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) = join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(join(one,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7976,refute_0_7979]) ).
cnf(refute_0_7981,plain,
join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) = join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),
inference(subst,[],[refute_0_7173:[bind(A,$fot(sk1)),bind(X_277,$fot(converse(sk1))),bind(X_32,$fot(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7982,plain,
( join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) != join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))
| join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) = join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))))),bind(Y,$fot(join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))))),bind(Z,$fot(join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_7983,plain,
( join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) = join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))),join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))))) )],[refute_0_7981,refute_0_7982]) ).
cnf(refute_0_7984,plain,
join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) = join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(converse(sk1),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7980,refute_0_7983]) ).
cnf(refute_0_7985,plain,
( join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) != join(one,converse(sk1))
| join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) != join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = join(one,converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))),join(one,converse(sk1))) ),[0],$fot(join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_7986,plain,
( join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) != join(one,converse(sk1))
| join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = join(one,converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))),join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7984,refute_0_7985]) ).
cnf(refute_0_7987,plain,
( converse(join(one,sk1)) != one
| join(one,converse(sk1)) != converse(join(one,sk1))
| join(one,converse(sk1)) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,converse(sk1)))),bind(Y,$fot(converse(join(one,sk1)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_7988,plain,
( converse(join(one,sk1)) != one
| join(one,converse(sk1)) = one ),
inference(resolve,[$cnf( $equal(join(one,converse(sk1)),converse(join(one,sk1))) )],[refute_0_6159,refute_0_7987]) ).
cnf(refute_0_7989,plain,
join(one,converse(sk1)) = one,
inference(resolve,[$cnf( $equal(converse(join(one,sk1)),one) )],[refute_0_6158,refute_0_7988]) ).
cnf(refute_0_7990,plain,
( join(one,converse(sk1)) != one
| join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != join(one,converse(sk1))
| join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,converse(sk1))) ),[1],$fot(one)]]) ).
cnf(refute_0_7991,plain,
( join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != join(one,converse(sk1))
| join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = one ),
inference(resolve,[$cnf( $equal(join(one,converse(sk1)),one) )],[refute_0_7989,refute_0_7990]) ).
cnf(refute_0_7992,plain,
( join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))) != join(one,converse(sk1))
| join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = one ),
inference(resolve,[$cnf( $equal(join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),join(one,converse(sk1))) )],[refute_0_7986,refute_0_7991]) ).
cnf(refute_0_7993,plain,
join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = one,
inference(resolve,[$cnf( $equal(join(one,join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),sk1))),join(one,converse(sk1))) )],[refute_0_7904,refute_0_7992]) ).
cnf(refute_0_7994,plain,
( join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != one
| meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != zero
| meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),zero) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_7995,plain,
( meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))) != zero
| meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) = zero ),
inference(resolve,[$cnf( $equal(join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),one) )],[refute_0_7993,refute_0_7994]) ).
cnf(refute_0_7996,plain,
meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) = zero,
inference(resolve,[$cnf( $equal(meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(join(one,meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),zero) )],[refute_0_7900,refute_0_7995]) ).
cnf(refute_0_7997,plain,
join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) = join(one,join(sk1,complement(composition(top,sk1)))),
inference(subst,[],[refute_0_5843:[bind(A,$fot(sk1)),bind(B,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_7998,plain,
( join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) != join(one,join(sk1,complement(composition(top,sk1))))
| join(sk1,complement(composition(top,sk1))) != complement(composition(complement(converse(sk1)),sk1))
| join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) = join(one,complement(composition(complement(converse(sk1)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,join(complement(composition(top,sk1)),sk1))),join(one,join(sk1,complement(composition(top,sk1))))) ),[1,1],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_7999,plain,
( join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) != join(one,join(sk1,complement(composition(top,sk1))))
| join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) = join(one,complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,complement(composition(top,sk1))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7236,refute_0_7998]) ).
cnf(refute_0_8000,plain,
join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) = join(one,complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(complement(composition(top,sk1)),sk1))),join(one,join(sk1,complement(composition(top,sk1))))) )],[refute_0_7997,refute_0_7999]) ).
cnf(refute_0_8001,plain,
join(one,join(sk1,complement(composition(top,sk1)))) = join(one,complement(composition(top,sk1))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_8002,plain,
join(one,join(sk1,join(sk1,complement(composition(top,sk1))))) = join(one,join(sk1,complement(composition(top,sk1)))),
inference(subst,[],[refute_0_1581:[bind(C,$fot(complement(composition(top,sk1)))),bind(X_35,$fot(sk1))]]) ).
cnf(refute_0_8003,plain,
( join(one,join(sk1,complement(composition(top,sk1)))) != join(one,complement(composition(top,sk1)))
| join(one,join(sk1,join(sk1,complement(composition(top,sk1))))) != join(one,join(sk1,complement(composition(top,sk1))))
| join(one,join(sk1,join(sk1,complement(composition(top,sk1))))) = join(one,complement(composition(top,sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(sk1,join(sk1,complement(composition(top,sk1))))))),bind(Y,$fot(join(one,join(sk1,complement(composition(top,sk1)))))),bind(Z,$fot(join(one,complement(composition(top,sk1)))))]]) ).
cnf(refute_0_8004,plain,
( join(one,join(sk1,complement(composition(top,sk1)))) != join(one,complement(composition(top,sk1)))
| join(one,join(sk1,join(sk1,complement(composition(top,sk1))))) = join(one,complement(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(sk1,complement(composition(top,sk1))))),join(one,join(sk1,complement(composition(top,sk1))))) )],[refute_0_8002,refute_0_8003]) ).
cnf(refute_0_8005,plain,
join(one,join(sk1,join(sk1,complement(composition(top,sk1))))) = join(one,complement(composition(top,sk1))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(composition(top,sk1)))),join(one,complement(composition(top,sk1)))) )],[refute_0_8001,refute_0_8004]) ).
cnf(refute_0_8006,plain,
join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) = join(one,join(sk1,join(sk1,complement(composition(top,sk1))))),
inference(subst,[],[refute_0_7173:[bind(A,$fot(sk1)),bind(X_277,$fot(sk1)),bind(X_32,$fot(complement(composition(top,sk1))))]]) ).
cnf(refute_0_8007,plain,
( join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) != join(one,join(sk1,join(sk1,complement(composition(top,sk1)))))
| join(one,join(sk1,join(sk1,complement(composition(top,sk1))))) != join(one,complement(composition(top,sk1)))
| join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) = join(one,complement(composition(top,sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(sk1,join(complement(composition(top,sk1)),sk1))))),bind(Y,$fot(join(one,join(sk1,join(sk1,complement(composition(top,sk1))))))),bind(Z,$fot(join(one,complement(composition(top,sk1)))))]]) ).
cnf(refute_0_8008,plain,
( join(one,join(sk1,join(sk1,complement(composition(top,sk1))))) != join(one,complement(composition(top,sk1)))
| join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) = join(one,complement(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(complement(composition(top,sk1)),sk1))),join(one,join(sk1,join(sk1,complement(composition(top,sk1)))))) )],[refute_0_8006,refute_0_8007]) ).
cnf(refute_0_8009,plain,
join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) = join(one,complement(composition(top,sk1))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(sk1,complement(composition(top,sk1))))),join(one,complement(composition(top,sk1)))) )],[refute_0_8005,refute_0_8008]) ).
cnf(refute_0_8010,plain,
( join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) != join(one,complement(composition(complement(converse(sk1)),sk1)))
| join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) != join(one,complement(composition(top,sk1)))
| join(one,complement(composition(top,sk1))) = join(one,complement(composition(complement(converse(sk1)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,join(complement(composition(top,sk1)),sk1))),join(one,complement(composition(complement(converse(sk1)),sk1)))) ),[0],$fot(join(one,complement(composition(top,sk1))))]]) ).
cnf(refute_0_8011,plain,
( join(one,join(sk1,join(complement(composition(top,sk1)),sk1))) != join(one,complement(composition(complement(converse(sk1)),sk1)))
| join(one,complement(composition(top,sk1))) = join(one,complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(complement(composition(top,sk1)),sk1))),join(one,complement(composition(top,sk1)))) )],[refute_0_8009,refute_0_8010]) ).
cnf(refute_0_8012,plain,
join(one,complement(composition(top,sk1))) = join(one,complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,join(complement(composition(top,sk1)),sk1))),join(one,complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_8000,refute_0_8011]) ).
cnf(refute_0_8013,plain,
join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) = join(one,join(one,complement(join(one,composition(top,sk1))))),
inference(subst,[],[refute_0_5843:[bind(A,$fot(one)),bind(B,$fot(complement(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_8014,plain,
( join(one,complement(join(one,composition(top,sk1)))) != complement(composition(complement(converse(sk1)),sk1))
| join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) != join(one,join(one,complement(join(one,composition(top,sk1)))))
| join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) = join(one,complement(composition(complement(converse(sk1)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))),join(one,join(one,complement(join(one,composition(top,sk1)))))) ),[1,1],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_8015,plain,
( join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) != join(one,join(one,complement(join(one,composition(top,sk1)))))
| join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) = join(one,complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(top,sk1)))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7374,refute_0_8014]) ).
cnf(refute_0_8016,plain,
join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) = join(one,complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))),join(one,join(one,complement(join(one,composition(top,sk1)))))) )],[refute_0_8013,refute_0_8015]) ).
cnf(refute_0_8017,plain,
join(one,join(sk1,complement(join(one,composition(top,sk1))))) = join(one,complement(join(one,composition(top,sk1)))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(complement(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_8018,plain,
( join(one,complement(join(one,composition(top,sk1)))) != complement(composition(complement(converse(sk1)),sk1))
| join(one,join(sk1,complement(join(one,composition(top,sk1))))) != join(one,complement(join(one,composition(top,sk1))))
| join(one,join(sk1,complement(join(one,composition(top,sk1))))) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(sk1,complement(join(one,composition(top,sk1))))))),bind(Y,$fot(join(one,complement(join(one,composition(top,sk1)))))),bind(Z,$fot(complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_8019,plain,
( join(one,complement(join(one,composition(top,sk1)))) != complement(composition(complement(converse(sk1)),sk1))
| join(one,join(sk1,complement(join(one,composition(top,sk1))))) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(join(one,composition(top,sk1))))),join(one,complement(join(one,composition(top,sk1))))) )],[refute_0_8017,refute_0_8018]) ).
cnf(refute_0_8020,plain,
join(one,join(sk1,complement(join(one,composition(top,sk1))))) = complement(composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(top,sk1)))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7374,refute_0_8019]) ).
cnf(refute_0_8021,plain,
join(join(sk1,complement(join(one,composition(top,sk1)))),one) = join(one,join(sk1,complement(join(one,composition(top,sk1))))),
inference(subst,[],[refute_0_1401:[bind(A,$fot(join(sk1,complement(join(one,composition(top,sk1))))))]]) ).
cnf(refute_0_8022,plain,
( join(join(sk1,complement(join(one,composition(top,sk1)))),one) != join(one,join(sk1,complement(join(one,composition(top,sk1)))))
| join(one,join(sk1,complement(join(one,composition(top,sk1))))) != complement(composition(complement(converse(sk1)),sk1))
| join(join(sk1,complement(join(one,composition(top,sk1)))),one) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(sk1,complement(join(one,composition(top,sk1)))),one))),bind(Y,$fot(join(one,join(sk1,complement(join(one,composition(top,sk1))))))),bind(Z,$fot(complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_8023,plain,
( join(one,join(sk1,complement(join(one,composition(top,sk1))))) != complement(composition(complement(converse(sk1)),sk1))
| join(join(sk1,complement(join(one,composition(top,sk1)))),one) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(join(one,composition(top,sk1)))),one),join(one,join(sk1,complement(join(one,composition(top,sk1)))))) )],[refute_0_8021,refute_0_8022]) ).
cnf(refute_0_8024,plain,
join(join(sk1,complement(join(one,composition(top,sk1)))),one) = complement(composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(join(one,composition(top,sk1))))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_8020,refute_0_8023]) ).
cnf(refute_0_8025,plain,
join(one,join(one,join(sk1,complement(join(one,composition(top,sk1)))))) = join(join(sk1,complement(join(one,composition(top,sk1)))),one),
inference(subst,[],[refute_0_3187:[bind(A,$fot(join(sk1,complement(join(one,composition(top,sk1)))))),bind(X_32,$fot(one))]]) ).
cnf(refute_0_8026,plain,
( join(join(sk1,complement(join(one,composition(top,sk1)))),one) != complement(composition(complement(converse(sk1)),sk1))
| join(one,join(one,join(sk1,complement(join(one,composition(top,sk1)))))) != join(join(sk1,complement(join(one,composition(top,sk1)))),one)
| join(one,join(one,join(sk1,complement(join(one,composition(top,sk1)))))) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(one,join(sk1,complement(join(one,composition(top,sk1)))))))),bind(Y,$fot(join(join(sk1,complement(join(one,composition(top,sk1)))),one))),bind(Z,$fot(complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_8027,plain,
( join(join(sk1,complement(join(one,composition(top,sk1)))),one) != complement(composition(complement(converse(sk1)),sk1))
| join(one,join(one,join(sk1,complement(join(one,composition(top,sk1)))))) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(sk1,complement(join(one,composition(top,sk1)))))),join(join(sk1,complement(join(one,composition(top,sk1)))),one)) )],[refute_0_8025,refute_0_8026]) ).
cnf(refute_0_8028,plain,
join(one,join(one,join(sk1,complement(join(one,composition(top,sk1)))))) = complement(composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(join(one,composition(top,sk1)))),one),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_8024,refute_0_8027]) ).
cnf(refute_0_8029,plain,
join(one,join(X_276,join(sk1,join(X_32,A)))) = join(one,join(X_276,join(X_32,A))),
inference(subst,[],[refute_0_1581:[bind(C,$fot(join(X_32,A))),bind(X_35,$fot(X_276))]]) ).
cnf(refute_0_8030,plain,
join(A,join(sk1,X_32)) = join(sk1,join(X_32,A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(sk1))]]) ).
cnf(refute_0_8031,plain,
( join(A,join(sk1,X_32)) != join(sk1,join(X_32,A))
| join(sk1,join(X_32,A)) = join(A,join(sk1,X_32)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(sk1,X_32)))),bind(Y,$fot(join(sk1,join(X_32,A))))]]) ).
cnf(refute_0_8032,plain,
join(sk1,join(X_32,A)) = join(A,join(sk1,X_32)),
inference(resolve,[$cnf( $equal(join(A,join(sk1,X_32)),join(sk1,join(X_32,A))) )],[refute_0_8030,refute_0_8031]) ).
cnf(refute_0_8033,plain,
( join(one,join(X_276,join(sk1,join(X_32,A)))) != join(one,join(X_276,join(X_32,A)))
| join(sk1,join(X_32,A)) != join(A,join(sk1,X_32))
| join(one,join(X_276,join(A,join(sk1,X_32)))) = join(one,join(X_276,join(X_32,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_276,join(sk1,join(X_32,A)))),join(one,join(X_276,join(X_32,A)))) ),[0,1,1],$fot(join(A,join(sk1,X_32)))]]) ).
cnf(refute_0_8034,plain,
( join(one,join(X_276,join(sk1,join(X_32,A)))) != join(one,join(X_276,join(X_32,A)))
| join(one,join(X_276,join(A,join(sk1,X_32)))) = join(one,join(X_276,join(X_32,A))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(X_32,A)),join(A,join(sk1,X_32))) )],[refute_0_8032,refute_0_8033]) ).
cnf(refute_0_8035,plain,
join(one,join(X_276,join(A,join(sk1,X_32)))) = join(one,join(X_276,join(X_32,A))),
inference(resolve,[$cnf( $equal(join(one,join(X_276,join(sk1,join(X_32,A)))),join(one,join(X_276,join(X_32,A)))) )],[refute_0_8029,refute_0_8034]) ).
cnf(refute_0_8036,plain,
join(join(X_276,join(sk1,X_275)),join(X_31,one)) = join(X_31,join(one,join(X_276,join(sk1,X_275)))),
inference(subst,[],[refute_0_269:[bind(A,$fot(join(X_276,join(sk1,X_275)))),bind(X_32,$fot(one))]]) ).
cnf(refute_0_8037,plain,
join(one,join(X_276,join(sk1,X_275))) = join(one,join(X_276,X_275)),
inference(subst,[],[refute_0_1581:[bind(C,$fot(X_275)),bind(X_35,$fot(X_276))]]) ).
cnf(refute_0_8038,plain,
( join(join(X_276,join(sk1,X_275)),join(X_31,one)) != join(X_31,join(one,join(X_276,join(sk1,X_275))))
| join(one,join(X_276,join(sk1,X_275))) != join(one,join(X_276,X_275))
| join(join(X_276,join(sk1,X_275)),join(X_31,one)) = join(X_31,join(one,join(X_276,X_275))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_276,join(sk1,X_275)),join(X_31,one)),join(X_31,join(one,join(X_276,join(sk1,X_275))))) ),[1,1],$fot(join(one,join(X_276,X_275)))]]) ).
cnf(refute_0_8039,plain,
( join(join(X_276,join(sk1,X_275)),join(X_31,one)) != join(X_31,join(one,join(X_276,join(sk1,X_275))))
| join(join(X_276,join(sk1,X_275)),join(X_31,one)) = join(X_31,join(one,join(X_276,X_275))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_276,join(sk1,X_275))),join(one,join(X_276,X_275))) )],[refute_0_8037,refute_0_8038]) ).
cnf(refute_0_8040,plain,
join(join(X_276,join(sk1,X_275)),join(X_31,one)) = join(X_31,join(one,join(X_276,X_275))),
inference(resolve,[$cnf( $equal(join(join(X_276,join(sk1,X_275)),join(X_31,one)),join(X_31,join(one,join(X_276,join(sk1,X_275))))) )],[refute_0_8036,refute_0_8039]) ).
cnf(refute_0_8041,plain,
join(join(X_276,join(sk1,X_275)),join(X_31,one)) = join(one,join(X_31,join(X_276,join(sk1,X_275)))),
inference(subst,[],[refute_0_4586:[bind(X_155,$fot(one)),bind(X_156,$fot(join(X_276,join(sk1,X_275)))),bind(X_157,$fot(X_31))]]) ).
cnf(refute_0_8042,plain,
( join(join(X_276,join(sk1,X_275)),join(X_31,one)) != join(X_31,join(one,join(X_276,X_275)))
| join(join(X_276,join(sk1,X_275)),join(X_31,one)) != join(one,join(X_31,join(X_276,join(sk1,X_275))))
| join(one,join(X_31,join(X_276,join(sk1,X_275)))) = join(X_31,join(one,join(X_276,X_275))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_276,join(sk1,X_275)),join(X_31,one)),join(X_31,join(one,join(X_276,X_275)))) ),[0],$fot(join(one,join(X_31,join(X_276,join(sk1,X_275)))))]]) ).
cnf(refute_0_8043,plain,
( join(join(X_276,join(sk1,X_275)),join(X_31,one)) != join(X_31,join(one,join(X_276,X_275)))
| join(one,join(X_31,join(X_276,join(sk1,X_275)))) = join(X_31,join(one,join(X_276,X_275))) ),
inference(resolve,[$cnf( $equal(join(join(X_276,join(sk1,X_275)),join(X_31,one)),join(one,join(X_31,join(X_276,join(sk1,X_275))))) )],[refute_0_8041,refute_0_8042]) ).
cnf(refute_0_8044,plain,
join(one,join(X_31,join(X_276,join(sk1,X_275)))) = join(X_31,join(one,join(X_276,X_275))),
inference(resolve,[$cnf( $equal(join(join(X_276,join(sk1,X_275)),join(X_31,one)),join(X_31,join(one,join(X_276,X_275)))) )],[refute_0_8040,refute_0_8043]) ).
cnf(refute_0_8045,plain,
join(one,join(X_276,join(A,join(sk1,X_32)))) = join(X_276,join(one,join(A,X_32))),
inference(subst,[],[refute_0_8044:[bind(X_275,$fot(X_32)),bind(X_276,$fot(A)),bind(X_31,$fot(X_276))]]) ).
cnf(refute_0_8046,plain,
( join(one,join(X_276,join(A,join(sk1,X_32)))) != join(X_276,join(one,join(A,X_32)))
| join(one,join(X_276,join(A,join(sk1,X_32)))) != join(one,join(X_276,join(X_32,A)))
| join(X_276,join(one,join(A,X_32))) = join(one,join(X_276,join(X_32,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_276,join(A,join(sk1,X_32)))),join(one,join(X_276,join(X_32,A)))) ),[0],$fot(join(X_276,join(one,join(A,X_32))))]]) ).
cnf(refute_0_8047,plain,
( join(one,join(X_276,join(A,join(sk1,X_32)))) != join(one,join(X_276,join(X_32,A)))
| join(X_276,join(one,join(A,X_32))) = join(one,join(X_276,join(X_32,A))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_276,join(A,join(sk1,X_32)))),join(X_276,join(one,join(A,X_32)))) )],[refute_0_8045,refute_0_8046]) ).
cnf(refute_0_8048,plain,
join(X_276,join(one,join(A,X_32))) = join(one,join(X_276,join(X_32,A))),
inference(resolve,[$cnf( $equal(join(one,join(X_276,join(A,join(sk1,X_32)))),join(one,join(X_276,join(X_32,A)))) )],[refute_0_8035,refute_0_8047]) ).
cnf(refute_0_8049,plain,
join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) = join(one,join(one,join(sk1,complement(join(one,composition(top,sk1)))))),
inference(subst,[],[refute_0_8048:[bind(A,$fot(complement(join(one,composition(top,sk1))))),bind(X_276,$fot(one)),bind(X_32,$fot(sk1))]]) ).
cnf(refute_0_8050,plain,
( join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) != join(one,join(one,join(sk1,complement(join(one,composition(top,sk1))))))
| join(one,join(one,join(sk1,complement(join(one,composition(top,sk1)))))) != complement(composition(complement(converse(sk1)),sk1))
| join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))))),bind(Y,$fot(join(one,join(one,join(sk1,complement(join(one,composition(top,sk1)))))))),bind(Z,$fot(complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_8051,plain,
( join(one,join(one,join(sk1,complement(join(one,composition(top,sk1)))))) != complement(composition(complement(converse(sk1)),sk1))
| join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))),join(one,join(one,join(sk1,complement(join(one,composition(top,sk1))))))) )],[refute_0_8049,refute_0_8050]) ).
cnf(refute_0_8052,plain,
join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) = complement(composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(join(one,join(one,join(sk1,complement(join(one,composition(top,sk1)))))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_8028,refute_0_8051]) ).
cnf(refute_0_8053,plain,
( join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) != complement(composition(complement(converse(sk1)),sk1))
| join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) != join(one,complement(composition(complement(converse(sk1)),sk1)))
| complement(composition(complement(converse(sk1)),sk1)) = join(one,complement(composition(complement(converse(sk1)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))),join(one,complement(composition(complement(converse(sk1)),sk1)))) ),[0],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_8054,plain,
( join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) != join(one,complement(composition(complement(converse(sk1)),sk1)))
| complement(composition(complement(converse(sk1)),sk1)) = join(one,complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_8052,refute_0_8053]) ).
cnf(refute_0_8055,plain,
( join(one,complement(composition(top,sk1))) != join(one,complement(composition(complement(converse(sk1)),sk1)))
| join(one,complement(composition(complement(converse(sk1)),sk1))) = join(one,complement(composition(top,sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,complement(composition(top,sk1))))),bind(Y,$fot(join(one,complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_8056,plain,
join(one,complement(composition(complement(converse(sk1)),sk1))) = join(one,complement(composition(top,sk1))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(top,sk1))),join(one,complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_8012,refute_0_8055]) ).
cnf(refute_0_8057,plain,
( complement(composition(complement(converse(sk1)),sk1)) != join(one,complement(composition(complement(converse(sk1)),sk1)))
| join(one,complement(composition(complement(converse(sk1)),sk1))) != join(one,complement(composition(top,sk1)))
| complement(composition(complement(converse(sk1)),sk1)) = join(one,complement(composition(top,sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(converse(sk1)),sk1)),join(one,complement(composition(top,sk1)))) ),[0],$fot(join(one,complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_8058,plain,
( complement(composition(complement(converse(sk1)),sk1)) != join(one,complement(composition(complement(converse(sk1)),sk1)))
| complement(composition(complement(converse(sk1)),sk1)) = join(one,complement(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(converse(sk1)),sk1))),join(one,complement(composition(top,sk1)))) )],[refute_0_8056,refute_0_8057]) ).
cnf(refute_0_8059,plain,
( join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))) != join(one,complement(composition(complement(converse(sk1)),sk1)))
| complement(composition(complement(converse(sk1)),sk1)) = join(one,complement(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),join(one,complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_8054,refute_0_8058]) ).
cnf(refute_0_8060,plain,
complement(composition(complement(converse(sk1)),sk1)) = join(one,complement(composition(top,sk1))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(join(one,composition(top,sk1))),sk1))),join(one,complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_8016,refute_0_8059]) ).
cnf(refute_0_8061,plain,
( complement(composition(complement(converse(sk1)),sk1)) != join(one,complement(composition(top,sk1)))
| join(one,complement(composition(top,sk1))) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(complement(converse(sk1)),sk1)))),bind(Y,$fot(join(one,complement(composition(top,sk1)))))]]) ).
cnf(refute_0_8062,plain,
join(one,complement(composition(top,sk1))) = complement(composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),join(one,complement(composition(top,sk1)))) )],[refute_0_8060,refute_0_8061]) ).
cnf(refute_0_8063,plain,
( join(one,complement(composition(top,sk1))) != complement(composition(complement(converse(sk1)),sk1))
| join(one,complement(composition(top,sk1))) != join(one,complement(composition(complement(converse(sk1)),sk1)))
| complement(composition(complement(converse(sk1)),sk1)) = join(one,complement(composition(complement(converse(sk1)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(top,sk1))),join(one,complement(composition(complement(converse(sk1)),sk1)))) ),[0],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_8064,plain,
( join(one,complement(composition(top,sk1))) != join(one,complement(composition(complement(converse(sk1)),sk1)))
| complement(composition(complement(converse(sk1)),sk1)) = join(one,complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(top,sk1))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_8062,refute_0_8063]) ).
cnf(refute_0_8065,plain,
complement(composition(complement(converse(sk1)),sk1)) = join(one,complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(top,sk1))),join(one,complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_8012,refute_0_8064]) ).
cnf(refute_0_8066,plain,
( complement(composition(complement(converse(sk1)),sk1)) != join(one,complement(composition(complement(converse(sk1)),sk1)))
| join(one,complement(composition(complement(converse(sk1)),sk1))) = complement(composition(complement(converse(sk1)),sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(complement(converse(sk1)),sk1)))),bind(Y,$fot(join(one,complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_8067,plain,
join(one,complement(composition(complement(converse(sk1)),sk1))) = complement(composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),join(one,complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_8065,refute_0_8066]) ).
cnf(refute_0_8068,plain,
converse(join(one,complement(composition(complement(converse(sk1)),sk1)))) = converse(join(one,complement(composition(complement(converse(sk1)),sk1)))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_8069,plain,
( converse(join(one,complement(composition(complement(converse(sk1)),sk1)))) != converse(join(one,complement(composition(complement(converse(sk1)),sk1))))
| join(one,complement(composition(complement(converse(sk1)),sk1))) != complement(composition(complement(converse(sk1)),sk1))
| converse(join(one,complement(composition(complement(converse(sk1)),sk1)))) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(composition(complement(converse(sk1)),sk1)))),converse(join(one,complement(composition(complement(converse(sk1)),sk1))))) ),[1,0],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_8070,plain,
( join(one,complement(composition(complement(converse(sk1)),sk1))) != complement(composition(complement(converse(sk1)),sk1))
| converse(join(one,complement(composition(complement(converse(sk1)),sk1)))) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(composition(complement(converse(sk1)),sk1)))),converse(join(one,complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_8068,refute_0_8069]) ).
cnf(refute_0_8071,plain,
converse(join(one,complement(composition(complement(converse(sk1)),sk1)))) = converse(complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(converse(sk1)),sk1))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_8067,refute_0_8070]) ).
cnf(refute_0_8072,plain,
join(one,converse(complement(composition(complement(converse(sk1)),sk1)))) = converse(join(one,complement(composition(complement(converse(sk1)),sk1)))),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_8073,plain,
( converse(join(one,complement(composition(complement(converse(sk1)),sk1)))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| join(one,converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(join(one,complement(composition(complement(converse(sk1)),sk1))))
| join(one,converse(complement(composition(complement(converse(sk1)),sk1)))) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,converse(complement(composition(complement(converse(sk1)),sk1)))))),bind(Y,$fot(converse(join(one,complement(composition(complement(converse(sk1)),sk1)))))),bind(Z,$fot(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_8074,plain,
( converse(join(one,complement(composition(complement(converse(sk1)),sk1)))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| join(one,converse(complement(composition(complement(converse(sk1)),sk1)))) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(composition(complement(converse(sk1)),sk1)))),converse(join(one,complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_8072,refute_0_8073]) ).
cnf(refute_0_8075,plain,
join(one,converse(complement(composition(complement(converse(sk1)),sk1)))) = converse(complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(composition(complement(converse(sk1)),sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_8071,refute_0_8074]) ).
cnf(refute_0_8076,plain,
complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))),
introduced(tautology,[refl,[$fot(complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_8077,plain,
( complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1)))))
| join(one,converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))),complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) ),[1,0],$fot(converse(complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_8078,plain,
( join(one,converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))),complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_8076,refute_0_8077]) ).
cnf(refute_0_8079,plain,
complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))),
inference(resolve,[$cnf( $equal(join(one,converse(complement(composition(complement(converse(sk1)),sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_8075,refute_0_8078]) ).
cnf(refute_0_8080,plain,
complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)) = complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(subst,[],[refute_0_4538:[bind(X_294,$fot(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_8081,plain,
( complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)) != complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1)))))
| complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(converse(complement(composition(complement(converse(sk1)),sk1))))
| complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)))),bind(Y,$fot(complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))))),bind(Z,$fot(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_8082,plain,
( complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(converse(complement(composition(complement(converse(sk1)),sk1))))
| complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)),complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_8080,refute_0_8081]) ).
cnf(refute_0_8083,plain,
complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))),
inference(resolve,[$cnf( $equal(complement(join(one,converse(complement(composition(complement(converse(sk1)),sk1))))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_8079,refute_0_8082]) ).
cnf(refute_0_8084,plain,
meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))) = meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))),
introduced(tautology,[refl,[$fot(meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))))]]) ).
cnf(refute_0_8085,plain,
( complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)) != complement(converse(complement(composition(complement(converse(sk1)),sk1))))
| meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))) != meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)))
| meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))) = meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))),meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)))) ),[1,1],$fot(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_8086,plain,
( complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)) != complement(converse(complement(composition(complement(converse(sk1)),sk1))))
| meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))) = meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))),meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)))) )],[refute_0_8084,refute_0_8085]) ).
cnf(refute_0_8087,plain,
meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))) = meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_8083,refute_0_8086]) ).
cnf(refute_0_8088,plain,
meet(complement(join(complement(X_298),X_299)),complement(one)) = complement(join(one,join(complement(X_298),X_299))),
inference(subst,[],[refute_0_4425:[bind(X_97,$fot(join(complement(X_298),X_299)))]]) ).
cnf(refute_0_8089,plain,
( complement(join(complement(X_298),X_299)) != meet(X_298,complement(X_299))
| meet(complement(join(complement(X_298),X_299)),complement(one)) != complement(join(one,join(complement(X_298),X_299)))
| meet(meet(X_298,complement(X_299)),complement(one)) = complement(join(one,join(complement(X_298),X_299))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(complement(X_298),X_299)),complement(one)),complement(join(one,join(complement(X_298),X_299)))) ),[0,0],$fot(meet(X_298,complement(X_299)))]]) ).
cnf(refute_0_8090,plain,
( meet(complement(join(complement(X_298),X_299)),complement(one)) != complement(join(one,join(complement(X_298),X_299)))
| meet(meet(X_298,complement(X_299)),complement(one)) = complement(join(one,join(complement(X_298),X_299))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_298),X_299)),meet(X_298,complement(X_299))) )],[refute_0_3685,refute_0_8089]) ).
cnf(refute_0_8091,plain,
meet(meet(X_298,complement(X_299)),complement(one)) = complement(join(one,join(complement(X_298),X_299))),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_298),X_299)),complement(one)),complement(join(one,join(complement(X_298),X_299)))) )],[refute_0_8088,refute_0_8090]) ).
cnf(refute_0_8092,plain,
meet(meet(X_298,complement(X_299)),complement(one)) = meet(complement(one),meet(X_298,complement(X_299))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(one))),bind(X_7,$fot(meet(X_298,complement(X_299))))]]) ).
cnf(refute_0_8093,plain,
( meet(meet(X_298,complement(X_299)),complement(one)) != complement(join(one,join(complement(X_298),X_299)))
| meet(meet(X_298,complement(X_299)),complement(one)) != meet(complement(one),meet(X_298,complement(X_299)))
| meet(complement(one),meet(X_298,complement(X_299))) = complement(join(one,join(complement(X_298),X_299))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_298,complement(X_299)),complement(one)),complement(join(one,join(complement(X_298),X_299)))) ),[0],$fot(meet(complement(one),meet(X_298,complement(X_299))))]]) ).
cnf(refute_0_8094,plain,
( meet(meet(X_298,complement(X_299)),complement(one)) != complement(join(one,join(complement(X_298),X_299)))
| meet(complement(one),meet(X_298,complement(X_299))) = complement(join(one,join(complement(X_298),X_299))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_298,complement(X_299)),complement(one)),meet(complement(one),meet(X_298,complement(X_299)))) )],[refute_0_8092,refute_0_8093]) ).
cnf(refute_0_8095,plain,
meet(complement(one),meet(X_298,complement(X_299))) = complement(join(one,join(complement(X_298),X_299))),
inference(resolve,[$cnf( $equal(meet(meet(X_298,complement(X_299)),complement(one)),complement(join(one,join(complement(X_298),X_299)))) )],[refute_0_8091,refute_0_8094]) ).
cnf(refute_0_8096,plain,
complement(join(one,join(complement(X_298),X_299))) = meet(X_298,complement(join(X_299,one))),
inference(subst,[],[refute_0_4948:[bind(A,$fot(one)),bind(X_32,$fot(X_299))]]) ).
cnf(refute_0_8097,plain,
( complement(join(one,join(complement(X_298),X_299))) != meet(X_298,complement(join(X_299,one)))
| meet(complement(one),meet(X_298,complement(X_299))) != complement(join(one,join(complement(X_298),X_299)))
| meet(complement(one),meet(X_298,complement(X_299))) = meet(X_298,complement(join(X_299,one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),meet(X_298,complement(X_299))),complement(join(one,join(complement(X_298),X_299)))) ),[1],$fot(meet(X_298,complement(join(X_299,one))))]]) ).
cnf(refute_0_8098,plain,
( meet(complement(one),meet(X_298,complement(X_299))) != complement(join(one,join(complement(X_298),X_299)))
| meet(complement(one),meet(X_298,complement(X_299))) = meet(X_298,complement(join(X_299,one))) ),
inference(resolve,[$cnf( $equal(complement(join(one,join(complement(X_298),X_299))),meet(X_298,complement(join(X_299,one)))) )],[refute_0_8096,refute_0_8097]) ).
cnf(refute_0_8099,plain,
meet(complement(one),meet(X_298,complement(X_299))) = meet(X_298,complement(join(X_299,one))),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(X_298,complement(X_299))),complement(join(one,join(complement(X_298),X_299)))) )],[refute_0_8095,refute_0_8098]) ).
cnf(refute_0_8100,plain,
meet(complement(one),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))),
inference(subst,[],[refute_0_8099:[bind(X_298,$fot(converse(sk1))),bind(X_299,$fot(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_8101,plain,
meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) = meet(complement(one),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(one))),bind(X_7,$fot(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_8102,plain,
( meet(complement(one),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)))
| meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) != meet(complement(one),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) = meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)))),bind(Y,$fot(meet(complement(one),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Z,$fot(meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)))))]]) ).
cnf(refute_0_8103,plain,
( meet(complement(one),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)))
| meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) = meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))) ),
inference(resolve,[$cnf( $equal(meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)),meet(complement(one),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_8101,refute_0_8102]) ).
cnf(refute_0_8104,plain,
meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) = meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)))) )],[refute_0_8100,refute_0_8103]) ).
cnf(refute_0_8105,plain,
( meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))) != meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))
| meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) != meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)))
| meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) = meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)))),bind(Y,$fot(meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))))),bind(Z,$fot(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_8106,plain,
( meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))) != meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))
| meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) = meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) ),
inference(resolve,[$cnf( $equal(meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)),meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one)))) )],[refute_0_8104,refute_0_8105]) ).
cnf(refute_0_8107,plain,
meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) = meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(join(converse(complement(composition(complement(converse(sk1)),sk1))),one))),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_8087,refute_0_8106]) ).
cnf(refute_0_8108,plain,
( meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) != meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))
| meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) != zero
| meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)),zero) ),[0],$fot(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_8109,plain,
( meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)) != zero
| meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)),meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_8107,refute_0_8108]) ).
cnf(refute_0_8110,plain,
meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) = zero,
inference(resolve,[$cnf( $equal(meet(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(one)),zero) )],[refute_0_7996,refute_0_8109]) ).
cnf(refute_0_8111,plain,
join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A) = join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A),
introduced(tautology,[refl,[$fot(join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A))]]) ).
cnf(refute_0_8112,plain,
( join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A) != join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)
| meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) != zero
| join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A) = join(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8113,plain,
( meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) != zero
| join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A) = join(zero,A) ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)) )],[refute_0_8111,refute_0_8112]) ).
cnf(refute_0_8114,plain,
join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A) = join(zero,A),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),zero) )],[refute_0_8110,refute_0_8113]) ).
cnf(refute_0_8115,plain,
( join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A) != join(zero,A)
| join(zero,A) != A
| join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A) = A ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A))),bind(Y,$fot(join(zero,A))),bind(Z,$fot(A))]]) ).
cnf(refute_0_8116,plain,
( join(zero,A) != A
| join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A) = A ),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A),join(zero,A)) )],[refute_0_8114,refute_0_8115]) ).
cnf(refute_0_8117,plain,
join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A) = A,
inference(resolve,[$cnf( $equal(join(zero,A),A) )],[refute_0_1385,refute_0_8116]) ).
cnf(refute_0_8118,plain,
join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)) = join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)),
introduced(tautology,[refl,[$fot(join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)))]]) ).
cnf(refute_0_8119,plain,
( join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)) != join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A))
| join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A) != A
| join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)) = join(converse(sk1),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)),join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_8120,plain,
( join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A) != A
| join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)) = join(converse(sk1),A) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)),join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A))) )],[refute_0_8118,refute_0_8119]) ).
cnf(refute_0_8121,plain,
join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)) = join(converse(sk1),A),
inference(resolve,[$cnf( $equal(join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A),A) )],[refute_0_8117,refute_0_8120]) ).
cnf(refute_0_8122,plain,
( join(A,converse(sk1)) != join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A))
| join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)) != join(converse(sk1),A)
| join(A,converse(sk1)) = join(converse(sk1),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,converse(sk1)),join(converse(sk1),A)) ),[0],$fot(join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)))]]) ).
cnf(refute_0_8123,plain,
( join(A,converse(sk1)) != join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A))
| join(A,converse(sk1)) = join(converse(sk1),A) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A)),join(converse(sk1),A)) )],[refute_0_8121,refute_0_8122]) ).
cnf(refute_0_8124,plain,
join(A,converse(sk1)) = join(converse(sk1),A),
inference(resolve,[$cnf( $equal(join(A,converse(sk1)),join(converse(sk1),join(meet(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),A))) )],[refute_0_7899,refute_0_8123]) ).
cnf(refute_0_8125,plain,
join(converse(complement(composition(top,sk1))),converse(sk1)) = join(converse(sk1),converse(complement(composition(top,sk1)))),
inference(subst,[],[refute_0_8124:[bind(A,$fot(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_8126,plain,
( join(converse(complement(composition(top,sk1))),converse(sk1)) != join(converse(sk1),converse(complement(composition(top,sk1))))
| join(converse(sk1),converse(complement(composition(top,sk1)))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| join(converse(complement(composition(top,sk1))),converse(sk1)) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(composition(top,sk1))),converse(sk1)))),bind(Y,$fot(join(converse(sk1),converse(complement(composition(top,sk1)))))),bind(Z,$fot(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_8127,plain,
( join(converse(sk1),converse(complement(composition(top,sk1)))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| join(converse(complement(composition(top,sk1))),converse(sk1)) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,sk1))),converse(sk1)),join(converse(sk1),converse(complement(composition(top,sk1))))) )],[refute_0_8125,refute_0_8126]) ).
cnf(refute_0_8128,plain,
join(converse(complement(composition(top,sk1))),converse(sk1)) = converse(complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_7829,refute_0_8127]) ).
cnf(refute_0_8129,plain,
join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) = join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))),
introduced(tautology,[refl,[$fot(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_8130,plain,
( join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) != join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))
| meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(sk1)
| join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) = join(converse(complement(composition(top,sk1))),converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) ),[1,1],$fot(converse(sk1))]]) ).
cnf(refute_0_8131,plain,
( meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(sk1)
| join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) = join(converse(complement(composition(top,sk1))),converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_8129,refute_0_8130]) ).
cnf(refute_0_8132,plain,
join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) = join(converse(complement(composition(top,sk1))),converse(sk1)),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))),converse(sk1)) )],[refute_0_7746,refute_0_8131]) ).
cnf(refute_0_8133,plain,
( join(converse(complement(composition(top,sk1))),converse(sk1)) != converse(complement(composition(complement(converse(sk1)),sk1)))
| join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) != join(converse(complement(composition(top,sk1))),converse(sk1))
| join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))),bind(Y,$fot(join(converse(complement(composition(top,sk1))),converse(sk1)))),bind(Z,$fot(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_8134,plain,
( join(converse(complement(composition(top,sk1))),converse(sk1)) != converse(complement(composition(complement(converse(sk1)),sk1)))
| join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) = converse(complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(complement(composition(top,sk1))),converse(sk1))) )],[refute_0_8132,refute_0_8133]) ).
cnf(refute_0_8135,plain,
join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) = converse(complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,sk1))),converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_8128,refute_0_8134]) ).
cnf(refute_0_8136,plain,
complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))),
introduced(tautology,[refl,[$fot(complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_8137,plain,
( complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))
| join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))),complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))) ),[1,0],$fot(converse(complement(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_8138,plain,
( join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))) != converse(complement(composition(complement(converse(sk1)),sk1)))
| complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))),complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_8136,refute_0_8137]) ).
cnf(refute_0_8139,plain,
complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))),converse(complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_8135,refute_0_8138]) ).
cnf(refute_0_8140,plain,
meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))),bind(X_97,$fot(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_8141,plain,
( complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(converse(complement(composition(complement(converse(sk1)),sk1))))
| meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))
| meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Y,$fot(complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Z,$fot(complement(converse(complement(composition(complement(converse(sk1)),sk1))))))]]) ).
cnf(refute_0_8142,plain,
( complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(converse(complement(composition(complement(converse(sk1)),sk1))))
| meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))),complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_8140,refute_0_8141]) ).
cnf(refute_0_8143,plain,
meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(complement(converse(sk1)),sk1)))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(composition(top,sk1))),meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_8139,refute_0_8142]) ).
cnf(refute_0_8144,plain,
join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))),
introduced(tautology,[refl,[$fot(join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_8145,plain,
( join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))))
| meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(converse(complement(composition(complement(converse(sk1)),sk1))))
| join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))),join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))))) ),[1,1],$fot(complement(converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_8146,plain,
( meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(converse(complement(composition(complement(converse(sk1)),sk1))))
| join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))),join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_8144,refute_0_8145]) ).
cnf(refute_0_8147,plain,
join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))) = join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_8143,refute_0_8146]) ).
cnf(refute_0_8148,plain,
( complement(converse(complement(composition(top,sk1)))) != join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))))
| join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))) != join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))
| complement(converse(complement(composition(top,sk1)))) = join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(composition(top,sk1)))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) ),[0],$fot(join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))))]]) ).
cnf(refute_0_8149,plain,
( complement(converse(complement(composition(top,sk1)))) != join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))))
| complement(converse(complement(composition(top,sk1)))) = join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1))))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_8147,refute_0_8148]) ).
cnf(refute_0_8150,plain,
complement(converse(complement(composition(top,sk1)))) = join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,sk1)))),join(converse(sk1),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(complement(composition(top,sk1)))),converse(complement(composition(complement(converse(sk1)),sk1)))))))) )],[refute_0_7881,refute_0_8149]) ).
cnf(refute_0_8151,plain,
( complement(converse(complement(composition(top,sk1)))) != join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))
| join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(converse(complement(composition(top,sk1)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(complement(composition(top,sk1)))))),bind(Y,$fot(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_8152,plain,
join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(converse(complement(composition(top,sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,sk1)))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) )],[refute_0_8150,refute_0_8151]) ).
cnf(refute_0_8153,plain,
meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),
introduced(tautology,[refl,[$fot(meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_8154,plain,
( join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(converse(complement(composition(top,sk1))))
| meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) != meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))
| meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))) ),[1,0],$fot(complement(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_8155,plain,
( join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(converse(complement(composition(top,sk1))))
| meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_8153,refute_0_8154]) ).
cnf(refute_0_8156,plain,
meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(converse(complement(composition(top,sk1))))) )],[refute_0_8152,refute_0_8155]) ).
cnf(refute_0_8157,plain,
( meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(converse(complement(composition(top,sk1))))
| meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) != meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))
| meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(top,sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Y,$fot(meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Z,$fot(complement(converse(complement(composition(top,sk1))))))]]) ).
cnf(refute_0_8158,plain,
( meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(converse(complement(composition(top,sk1))))
| meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_8156,refute_0_8157]) ).
cnf(refute_0_8159,plain,
meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(top,sk1)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,sk1)))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),complement(converse(complement(composition(top,sk1))))) )],[refute_0_7877,refute_0_8158]) ).
cnf(refute_0_8160,plain,
meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))),bind(X_7,$fot(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_8161,plain,
( meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))
| meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(converse(complement(composition(top,sk1))))
| meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(top,sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Y,$fot(meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))))),bind(Z,$fot(complement(converse(complement(composition(top,sk1))))))]]) ).
cnf(refute_0_8162,plain,
( meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(converse(complement(composition(top,sk1))))
| meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_8160,refute_0_8161]) ).
cnf(refute_0_8163,plain,
meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) = complement(converse(complement(composition(top,sk1)))),
inference(resolve,[$cnf( $equal(meet(join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))),complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),complement(converse(complement(composition(top,sk1))))) )],[refute_0_8159,refute_0_8162]) ).
cnf(refute_0_8164,plain,
( complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) != meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))) != complement(converse(complement(composition(top,sk1))))
| complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(converse(complement(composition(top,sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),complement(converse(complement(composition(top,sk1))))) ),[0],$fot(meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))))]]) ).
cnf(refute_0_8165,plain,
( complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) != meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))
| complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(converse(complement(composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1)))))),complement(converse(complement(composition(top,sk1))))) )],[refute_0_8163,refute_0_8164]) ).
cnf(refute_0_8166,plain,
complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) = complement(converse(complement(composition(top,sk1)))),
inference(resolve,[$cnf( $equal(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),meet(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),join(converse(sk1),complement(converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_7387,refute_0_8165]) ).
cnf(refute_0_8167,plain,
( complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) != complement(converse(complement(composition(top,sk1))))
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) != complement(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = complement(complement(converse(complement(composition(top,sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))) ),[1,0],$fot(complement(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_8168,plain,
( meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) != complement(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = complement(complement(converse(complement(composition(top,sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))),complement(converse(complement(composition(top,sk1))))) )],[refute_0_8166,refute_0_8167]) ).
cnf(refute_0_8169,plain,
meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = complement(complement(converse(complement(composition(top,sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))))) )],[refute_0_5824,refute_0_8168]) ).
cnf(refute_0_8170,plain,
complement(complement(converse(complement(composition(top,sk1))))) = converse(complement(composition(top,sk1))),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(converse(complement(composition(top,sk1)))))]]) ).
cnf(refute_0_8171,plain,
( complement(complement(converse(complement(composition(top,sk1))))) != converse(complement(composition(top,sk1)))
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) != complement(complement(converse(complement(composition(top,sk1)))))
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = converse(complement(composition(top,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(complement(composition(top,sk1)))))) ),[1],$fot(converse(complement(composition(top,sk1))))]]) ).
cnf(refute_0_8172,plain,
( meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) != complement(complement(converse(complement(composition(top,sk1)))))
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = converse(complement(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(composition(top,sk1))))),converse(complement(composition(top,sk1)))) )],[refute_0_8170,refute_0_8171]) ).
cnf(refute_0_8173,plain,
meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = converse(complement(composition(top,sk1))),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))),complement(complement(converse(complement(composition(top,sk1)))))) )],[refute_0_8169,refute_0_8172]) ).
cnf(refute_0_8174,plain,
meet(complement(sk1),complement(composition(sk1,complement(sk1)))) = complement(join(sk1,composition(sk1,complement(sk1)))),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(composition(sk1,complement(sk1)))),bind(X_97,$fot(sk1))]]) ).
cnf(refute_0_8175,plain,
complement(composition(sk1,complement(sk1))) = join(meet(one,complement(composition(sk1,complement(sk1)))),meet(complement(one),complement(composition(sk1,complement(sk1))))),
inference(subst,[],[refute_0_5473:[bind(X_165,$fot(one)),bind(X_166,$fot(complement(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_8176,plain,
meet(one,complement(composition(A,complement(converse(A))))) = complement(join(complement(one),composition(A,complement(converse(A))))),
inference(subst,[],[refute_0_3514:[bind(X_279,$fot(one)),bind(X_281,$fot(composition(A,complement(converse(A)))))]]) ).
cnf(refute_0_8177,plain,
( join(complement(one),composition(A,complement(converse(A)))) != complement(one)
| meet(one,complement(composition(A,complement(converse(A))))) != complement(join(complement(one),composition(A,complement(converse(A)))))
| meet(one,complement(composition(A,complement(converse(A))))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(A,complement(converse(A))))),complement(join(complement(one),composition(A,complement(converse(A)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_8178,plain,
( meet(one,complement(composition(A,complement(converse(A))))) != complement(join(complement(one),composition(A,complement(converse(A)))))
| meet(one,complement(composition(A,complement(converse(A))))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(A,complement(converse(A)))),complement(one)) )],[refute_0_1936,refute_0_8177]) ).
cnf(refute_0_8179,plain,
meet(one,complement(composition(A,complement(converse(A))))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(A,complement(converse(A))))),complement(join(complement(one),composition(A,complement(converse(A)))))) )],[refute_0_8176,refute_0_8178]) ).
cnf(refute_0_8180,plain,
( complement(complement(one)) != one
| meet(one,complement(composition(A,complement(converse(A))))) != complement(complement(one))
| meet(one,complement(composition(A,complement(converse(A))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(A,complement(converse(A))))),complement(complement(one))) ),[1],$fot(one)]]) ).
cnf(refute_0_8181,plain,
( meet(one,complement(composition(A,complement(converse(A))))) != complement(complement(one))
| meet(one,complement(composition(A,complement(converse(A))))) = one ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3123,refute_0_8180]) ).
cnf(refute_0_8182,plain,
meet(one,complement(composition(A,complement(converse(A))))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(A,complement(converse(A))))),complement(complement(one))) )],[refute_0_8179,refute_0_8181]) ).
cnf(refute_0_8183,plain,
meet(one,complement(composition(sk1,complement(converse(sk1))))) = one,
inference(subst,[],[refute_0_8182:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_8184,plain,
( composition(sk1,complement(converse(sk1))) != composition(sk1,complement(sk1))
| meet(one,complement(composition(sk1,complement(converse(sk1))))) != one
| meet(one,complement(composition(sk1,complement(sk1)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(sk1,complement(converse(sk1))))),one) ),[0,1,0],$fot(composition(sk1,complement(sk1)))]]) ).
cnf(refute_0_8185,plain,
( meet(one,complement(composition(sk1,complement(converse(sk1))))) != one
| meet(one,complement(composition(sk1,complement(sk1)))) = one ),
inference(resolve,[$cnf( $equal(composition(sk1,complement(converse(sk1))),composition(sk1,complement(sk1))) )],[refute_0_5808,refute_0_8184]) ).
cnf(refute_0_8186,plain,
meet(one,complement(composition(sk1,complement(sk1)))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(sk1,complement(converse(sk1))))),one) )],[refute_0_8183,refute_0_8185]) ).
cnf(refute_0_8187,plain,
( complement(composition(sk1,complement(sk1))) != join(meet(one,complement(composition(sk1,complement(sk1)))),meet(complement(one),complement(composition(sk1,complement(sk1)))))
| meet(one,complement(composition(sk1,complement(sk1)))) != one
| complement(composition(sk1,complement(sk1))) = join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(sk1,complement(sk1))),join(meet(one,complement(composition(sk1,complement(sk1)))),meet(complement(one),complement(composition(sk1,complement(sk1)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_8188,plain,
( complement(composition(sk1,complement(sk1))) != join(meet(one,complement(composition(sk1,complement(sk1)))),meet(complement(one),complement(composition(sk1,complement(sk1)))))
| complement(composition(sk1,complement(sk1))) = join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(sk1,complement(sk1)))),one) )],[refute_0_8186,refute_0_8187]) ).
cnf(refute_0_8189,plain,
complement(composition(sk1,complement(sk1))) = join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(composition(sk1,complement(sk1))),join(meet(one,complement(composition(sk1,complement(sk1)))),meet(complement(one),complement(composition(sk1,complement(sk1)))))) )],[refute_0_8175,refute_0_8188]) ).
cnf(refute_0_8190,plain,
meet(complement(one),complement(composition(sk1,complement(sk1)))) = complement(join(one,composition(sk1,complement(sk1)))),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(composition(sk1,complement(sk1)))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_8191,plain,
join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))) = join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))),
introduced(tautology,[refl,[$fot(join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_8192,plain,
( join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))) != join(one,meet(complement(one),complement(composition(sk1,complement(sk1)))))
| meet(complement(one),complement(composition(sk1,complement(sk1)))) != complement(join(one,composition(sk1,complement(sk1))))
| join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))) = join(one,complement(join(one,composition(sk1,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))),join(one,meet(complement(one),complement(composition(sk1,complement(sk1)))))) ),[1,1],$fot(complement(join(one,composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_8193,plain,
( meet(complement(one),complement(composition(sk1,complement(sk1)))) != complement(join(one,composition(sk1,complement(sk1))))
| join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))) = join(one,complement(join(one,composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))),join(one,meet(complement(one),complement(composition(sk1,complement(sk1)))))) )],[refute_0_8191,refute_0_8192]) ).
cnf(refute_0_8194,plain,
join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))) = join(one,complement(join(one,composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(composition(sk1,complement(sk1)))),complement(join(one,composition(sk1,complement(sk1))))) )],[refute_0_8190,refute_0_8193]) ).
cnf(refute_0_8195,plain,
( complement(composition(sk1,complement(sk1))) != join(one,meet(complement(one),complement(composition(sk1,complement(sk1)))))
| join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))) != join(one,complement(join(one,composition(sk1,complement(sk1)))))
| complement(composition(sk1,complement(sk1))) = join(one,complement(join(one,composition(sk1,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(sk1,complement(sk1))),join(one,complement(join(one,composition(sk1,complement(sk1)))))) ),[0],$fot(join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_8196,plain,
( complement(composition(sk1,complement(sk1))) != join(one,meet(complement(one),complement(composition(sk1,complement(sk1)))))
| complement(composition(sk1,complement(sk1))) = join(one,complement(join(one,composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),complement(composition(sk1,complement(sk1))))),join(one,complement(join(one,composition(sk1,complement(sk1)))))) )],[refute_0_8194,refute_0_8195]) ).
cnf(refute_0_8197,plain,
complement(composition(sk1,complement(sk1))) = join(one,complement(join(one,composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(composition(sk1,complement(sk1))),join(one,meet(complement(one),complement(composition(sk1,complement(sk1)))))) )],[refute_0_8189,refute_0_8196]) ).
cnf(refute_0_8198,plain,
converse(complement(composition(complement(sk1),sk1))) = complement(converse(composition(complement(sk1),sk1))),
inference(subst,[],[refute_0_4748:[bind(X_544,$fot(composition(complement(sk1),sk1)))]]) ).
cnf(refute_0_8199,plain,
complement(converse(sk1)) = meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))),bind(X_97,$fot(converse(sk1)))]]) ).
cnf(refute_0_8200,plain,
one = join(meet(one,join(converse(sk1),complement(join(sk1,complement(one))))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(one)),bind(B,$fot(join(converse(sk1),complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8201,plain,
join(converse(sk1),complement(join(sk1,complement(one)))) = meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(join(one,complement(join(converse(sk1),complement(join(sk1,complement(one))))))))),
inference(subst,[],[refute_0_2708:[bind(X_135,$fot(one)),bind(X_136,$fot(join(converse(sk1),complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8202,plain,
join(sk1,join(complement(join(sk1,complement(one))),converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))) = join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))),
inference(subst,[],[refute_0_1591:[bind(C,$fot(converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))))]]) ).
cnf(refute_0_8203,plain,
top = join(complement(join(sk1,complement(one))),converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))),
inference(subst,[],[refute_0_2558:[bind(A,$fot(X_177)),bind(X_11,$fot(complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_8204,plain,
( top != join(complement(join(sk1,complement(one))),converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))
| join(complement(join(sk1,complement(one))),converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(join(sk1,complement(one))),converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))))]]) ).
cnf(refute_0_8205,plain,
join(complement(join(sk1,complement(one))),converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(join(sk1,complement(one))),converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))) )],[refute_0_8203,refute_0_8204]) ).
cnf(refute_0_8206,plain,
( join(complement(join(sk1,complement(one))),converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))) != top
| join(sk1,join(complement(join(sk1,complement(one))),converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))) != join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))
| join(sk1,top) = join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(join(sk1,complement(one))),converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))),join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_8207,plain,
( join(sk1,join(complement(join(sk1,complement(one))),converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))) != join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))
| join(sk1,top) = join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))),top) )],[refute_0_8205,refute_0_8206]) ).
cnf(refute_0_8208,plain,
join(sk1,top) = join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(join(sk1,complement(one))),converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))),join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))) )],[refute_0_8202,refute_0_8207]) ).
cnf(refute_0_8209,plain,
( join(sk1,top) != join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))
| join(sk1,top) != top
| top = join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,top),join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_8210,plain,
( join(sk1,top) != join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))
| top = join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))) ),
inference(resolve,[$cnf( $equal(join(sk1,top),top) )],[refute_0_790,refute_0_8209]) ).
cnf(refute_0_8211,plain,
join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))) = converse(join(one,join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))]]) ).
cnf(refute_0_8212,plain,
( join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))) != converse(join(one,join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))
| top != join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))
| top = converse(join(one,join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))) ),[1],$fot(converse(join(one,join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))))]]) ).
cnf(refute_0_8213,plain,
( top != join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))
| top = converse(join(one,join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))),converse(join(one,join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))) )],[refute_0_8211,refute_0_8212]) ).
cnf(refute_0_8214,plain,
( join(sk1,top) != join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))
| top = converse(join(one,join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))) ),
inference(resolve,[$cnf( $equal(top,join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))) )],[refute_0_8210,refute_0_8213]) ).
cnf(refute_0_8215,plain,
top = converse(join(one,join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177))))),
inference(resolve,[$cnf( $equal(join(sk1,top),join(one,converse(join(X_177,complement(join(converse(complement(join(sk1,complement(one)))),X_177)))))) )],[refute_0_8208,refute_0_8214]) ).
cnf(refute_0_8216,plain,
top = converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(join(converse(complement(join(sk1,complement(one)))),converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))))))),
inference(subst,[],[refute_0_8215:[bind(X_177,$fot(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))))]]) ).
cnf(refute_0_8217,plain,
join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) = join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(X_79,converse(complement(converse(join(sk1,X_79))))))),bind(B,$fot(one))]]) ).
cnf(refute_0_8218,plain,
( join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) != join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))
| join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))) != top
| join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one),top) ),[0],$fot(join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))))]]) ).
cnf(refute_0_8219,plain,
( join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) != join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))
| join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) = top ),
inference(resolve,[$cnf( $equal(join(one,join(X_79,converse(complement(converse(join(sk1,X_79)))))),top) )],[refute_0_7442,refute_0_8218]) ).
cnf(refute_0_8220,plain,
join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) = top,
inference(resolve,[$cnf( $equal(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one),join(one,join(X_79,converse(complement(converse(join(sk1,X_79))))))) )],[refute_0_8217,refute_0_8219]) ).
cnf(refute_0_8221,plain,
join(one,converse(complement(converse(join(sk1,X_79))))) = converse(join(one,complement(converse(join(sk1,X_79))))),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(complement(converse(join(sk1,X_79)))))]]) ).
cnf(refute_0_8222,plain,
join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))) = join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))),
introduced(tautology,[refl,[$fot(join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))))]]) ).
cnf(refute_0_8223,plain,
( join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))) != join(X_79,join(one,converse(complement(converse(join(sk1,X_79))))))
| join(one,converse(complement(converse(join(sk1,X_79))))) != converse(join(one,complement(converse(join(sk1,X_79)))))
| join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))) = join(X_79,converse(join(one,complement(converse(join(sk1,X_79)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))),join(X_79,join(one,converse(complement(converse(join(sk1,X_79))))))) ),[1,1],$fot(converse(join(one,complement(converse(join(sk1,X_79))))))]]) ).
cnf(refute_0_8224,plain,
( join(one,converse(complement(converse(join(sk1,X_79))))) != converse(join(one,complement(converse(join(sk1,X_79)))))
| join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))) = join(X_79,converse(join(one,complement(converse(join(sk1,X_79)))))) ),
inference(resolve,[$cnf( $equal(join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))),join(X_79,join(one,converse(complement(converse(join(sk1,X_79))))))) )],[refute_0_8222,refute_0_8223]) ).
cnf(refute_0_8225,plain,
join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))) = join(X_79,converse(join(one,complement(converse(join(sk1,X_79)))))),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(join(sk1,X_79))))),converse(join(one,complement(converse(join(sk1,X_79)))))) )],[refute_0_8221,refute_0_8224]) ).
cnf(refute_0_8226,plain,
join(X_79,join(converse(complement(converse(join(sk1,X_79)))),one)) = join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))),
inference(subst,[],[refute_0_3874:[bind(X_31,$fot(X_79)),bind(X_32,$fot(converse(complement(converse(join(sk1,X_79)))))),bind(X_33,$fot(one))]]) ).
cnf(refute_0_8227,plain,
join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) = join(X_79,join(converse(complement(converse(join(sk1,X_79)))),one)),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_79)),bind(B,$fot(converse(complement(converse(join(sk1,X_79)))))),bind(C,$fot(one))]]) ).
cnf(refute_0_8228,plain,
( join(X_79,join(converse(complement(converse(join(sk1,X_79)))),one)) != join(X_79,join(one,converse(complement(converse(join(sk1,X_79))))))
| join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) != join(X_79,join(converse(complement(converse(join(sk1,X_79)))),one))
| join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) = join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one))),bind(Y,$fot(join(X_79,join(converse(complement(converse(join(sk1,X_79)))),one)))),bind(Z,$fot(join(X_79,join(one,converse(complement(converse(join(sk1,X_79))))))))]]) ).
cnf(refute_0_8229,plain,
( join(X_79,join(converse(complement(converse(join(sk1,X_79)))),one)) != join(X_79,join(one,converse(complement(converse(join(sk1,X_79))))))
| join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) = join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one),join(X_79,join(converse(complement(converse(join(sk1,X_79)))),one))) )],[refute_0_8227,refute_0_8228]) ).
cnf(refute_0_8230,plain,
join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) = join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))),
inference(resolve,[$cnf( $equal(join(X_79,join(converse(complement(converse(join(sk1,X_79)))),one)),join(X_79,join(one,converse(complement(converse(join(sk1,X_79))))))) )],[refute_0_8226,refute_0_8229]) ).
cnf(refute_0_8231,plain,
( join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))) != join(X_79,converse(join(one,complement(converse(join(sk1,X_79))))))
| join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) != join(X_79,join(one,converse(complement(converse(join(sk1,X_79))))))
| join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) = join(X_79,converse(join(one,complement(converse(join(sk1,X_79)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one))),bind(Y,$fot(join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))))),bind(Z,$fot(join(X_79,converse(join(one,complement(converse(join(sk1,X_79))))))))]]) ).
cnf(refute_0_8232,plain,
( join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))) != join(X_79,converse(join(one,complement(converse(join(sk1,X_79))))))
| join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) = join(X_79,converse(join(one,complement(converse(join(sk1,X_79)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one),join(X_79,join(one,converse(complement(converse(join(sk1,X_79))))))) )],[refute_0_8230,refute_0_8231]) ).
cnf(refute_0_8233,plain,
join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) = join(X_79,converse(join(one,complement(converse(join(sk1,X_79)))))),
inference(resolve,[$cnf( $equal(join(X_79,join(one,converse(complement(converse(join(sk1,X_79)))))),join(X_79,converse(join(one,complement(converse(join(sk1,X_79))))))) )],[refute_0_8225,refute_0_8232]) ).
cnf(refute_0_8234,plain,
( join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) != join(X_79,converse(join(one,complement(converse(join(sk1,X_79))))))
| join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) != top
| join(X_79,converse(join(one,complement(converse(join(sk1,X_79)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one),top) ),[0],$fot(join(X_79,converse(join(one,complement(converse(join(sk1,X_79)))))))]]) ).
cnf(refute_0_8235,plain,
( join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one) != top
| join(X_79,converse(join(one,complement(converse(join(sk1,X_79)))))) = top ),
inference(resolve,[$cnf( $equal(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one),join(X_79,converse(join(one,complement(converse(join(sk1,X_79))))))) )],[refute_0_8233,refute_0_8234]) ).
cnf(refute_0_8236,plain,
join(X_79,converse(join(one,complement(converse(join(sk1,X_79)))))) = top,
inference(resolve,[$cnf( $equal(join(join(X_79,converse(complement(converse(join(sk1,X_79))))),one),top) )],[refute_0_8220,refute_0_8235]) ).
cnf(refute_0_8237,plain,
join(converse(complement(join(sk1,complement(one)))),converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) = top,
inference(subst,[],[refute_0_8236:[bind(X_79,$fot(converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8238,plain,
( join(converse(complement(join(sk1,complement(one)))),converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) != top
| top != converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(join(converse(complement(join(sk1,complement(one)))),converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))))))))
| top = converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(join(converse(complement(join(sk1,complement(one)))),converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))))))))) ),[1,0,1,1,0],$fot(top)]]) ).
cnf(refute_0_8239,plain,
( top != converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(join(converse(complement(join(sk1,complement(one)))),converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))))))))
| top = converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))),top) )],[refute_0_8237,refute_0_8238]) ).
cnf(refute_0_8240,plain,
top = converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))),
inference(resolve,[$cnf( $equal(top,converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(join(converse(complement(join(sk1,complement(one)))),converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))))))))) )],[refute_0_8216,refute_0_8239]) ).
cnf(refute_0_8241,plain,
join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) = complement(join(converse(sk1),complement(join(sk1,complement(one))))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(complement(join(converse(sk1),complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8242,plain,
converse(join(sk1,converse(complement(join(sk1,complement(one)))))) = join(converse(sk1),complement(join(sk1,complement(one)))),
inference(subst,[],[refute_0_1350:[bind(A,$fot(complement(join(sk1,complement(one))))),bind(X_11,$fot(sk1))]]) ).
cnf(refute_0_8243,plain,
complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8244,plain,
( complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))) != complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))
| converse(join(sk1,converse(complement(join(sk1,complement(one)))))) != join(converse(sk1),complement(join(sk1,complement(one))))
| complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(join(converse(sk1),complement(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),[1,0],$fot(join(converse(sk1),complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_8245,plain,
( converse(join(sk1,converse(complement(join(sk1,complement(one)))))) != join(converse(sk1),complement(join(sk1,complement(one))))
| complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(join(converse(sk1),complement(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) )],[refute_0_8243,refute_0_8244]) ).
cnf(refute_0_8246,plain,
complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(join(converse(sk1),complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(sk1,converse(complement(join(sk1,complement(one)))))),join(converse(sk1),complement(join(sk1,complement(one))))) )],[refute_0_8242,refute_0_8245]) ).
cnf(refute_0_8247,plain,
join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8248,plain,
( complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))) != complement(join(converse(sk1),complement(join(sk1,complement(one)))))
| join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))
| join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),[1,1],$fot(complement(join(converse(sk1),complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8249,plain,
( complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))) != complement(join(converse(sk1),complement(join(sk1,complement(one)))))
| join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8247,refute_0_8248]) ).
cnf(refute_0_8250,plain,
join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(join(converse(sk1),complement(join(sk1,complement(one)))))) )],[refute_0_8246,refute_0_8249]) ).
cnf(refute_0_8251,plain,
( converse(complement(top)) != converse(zero)
| converse(zero) != zero
| converse(complement(top)) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(complement(top)))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_8252,plain,
( converse(zero) != zero
| converse(complement(top)) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_1271,refute_0_8251]) ).
cnf(refute_0_8253,plain,
converse(complement(top)) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1322,refute_0_8252]) ).
cnf(refute_0_8254,plain,
join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8255,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))
| join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8256,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8254,refute_0_8255]) ).
cnf(refute_0_8257,plain,
join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(converse(complement(top)),zero) )],[refute_0_8253,refute_0_8256]) ).
cnf(refute_0_8258,plain,
( join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))
| join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one))))))
| join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))),bind(Y,$fot(join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))),bind(Z,$fot(join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8259,plain,
( join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one))))))
| join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8257,refute_0_8258]) ).
cnf(refute_0_8260,plain,
join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one))))))) )],[refute_0_8250,refute_0_8259]) ).
cnf(refute_0_8261,plain,
( join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one))))))
| join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) != complement(join(converse(sk1),complement(join(sk1,complement(one)))))
| join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = complement(join(converse(sk1),complement(join(sk1,complement(one))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))),bind(Y,$fot(join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one)))))))),bind(Z,$fot(complement(join(converse(sk1),complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8262,plain,
( join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) != complement(join(converse(sk1),complement(join(sk1,complement(one)))))
| join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = complement(join(converse(sk1),complement(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one))))))) )],[refute_0_8260,refute_0_8261]) ).
cnf(refute_0_8263,plain,
join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) = complement(join(converse(sk1),complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(zero,complement(join(converse(sk1),complement(join(sk1,complement(one)))))),complement(join(converse(sk1),complement(join(sk1,complement(one)))))) )],[refute_0_8241,refute_0_8262]) ).
cnf(refute_0_8264,plain,
join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),
introduced(tautology,[refl,[$fot(join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8265,plain,
( join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) != complement(join(converse(sk1),complement(join(sk1,complement(one)))))
| join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) != join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))
| join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) ),[1,1],$fot(complement(join(converse(sk1),complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8266,plain,
( join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))) != complement(join(converse(sk1),complement(join(sk1,complement(one)))))
| join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) )],[refute_0_8264,refute_0_8265]) ).
cnf(refute_0_8267,plain,
join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),complement(join(converse(sk1),complement(join(sk1,complement(one)))))) )],[refute_0_8263,refute_0_8266]) ).
cnf(refute_0_8268,plain,
join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top)))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),
inference(subst,[],[refute_0_6976:[bind(X_155,$fot(converse(complement(top)))),bind(X_157,$fot(complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8269,plain,
join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))) = join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top)))),
inference(subst,[],[refute_0_1491:[bind(C,$fot(join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top)))))]]) ).
cnf(refute_0_8270,plain,
( join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top)))) != join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))
| join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))) != join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))
| join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))))),bind(Y,$fot(join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top)))))),bind(Z,$fot(join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))))]]) ).
cnf(refute_0_8271,plain,
( join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top)))) != join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))
| join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))),join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))) )],[refute_0_8269,refute_0_8270]) ).
cnf(refute_0_8272,plain,
join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top)))),join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) )],[refute_0_8268,refute_0_8271]) ).
cnf(refute_0_8273,plain,
join(A,join(B,join(X_156,X_157))) = join(join(A,B),join(X_156,X_157)),
inference(subst,[],[maddux2_join_associativity_2:[bind(C,$fot(join(X_156,X_157)))]]) ).
cnf(refute_0_8274,plain,
join(B,join(X_156,X_157)) = join(X_156,join(X_157,B)),
inference(subst,[],[refute_0_269:[bind(A,$fot(B)),bind(X_31,$fot(X_156)),bind(X_32,$fot(X_157))]]) ).
cnf(refute_0_8275,plain,
( join(A,join(B,join(X_156,X_157))) != join(join(A,B),join(X_156,X_157))
| join(B,join(X_156,X_157)) != join(X_156,join(X_157,B))
| join(A,join(X_156,join(X_157,B))) = join(join(A,B),join(X_156,X_157)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(B,join(X_156,X_157))),join(join(A,B),join(X_156,X_157))) ),[0,1],$fot(join(X_156,join(X_157,B)))]]) ).
cnf(refute_0_8276,plain,
( join(A,join(B,join(X_156,X_157))) != join(join(A,B),join(X_156,X_157))
| join(A,join(X_156,join(X_157,B))) = join(join(A,B),join(X_156,X_157)) ),
inference(resolve,[$cnf( $equal(join(B,join(X_156,X_157)),join(X_156,join(X_157,B))) )],[refute_0_8274,refute_0_8275]) ).
cnf(refute_0_8277,plain,
join(A,join(X_156,join(X_157,B))) = join(join(A,B),join(X_156,X_157)),
inference(resolve,[$cnf( $equal(join(A,join(B,join(X_156,X_157))),join(join(A,B),join(X_156,X_157))) )],[refute_0_8273,refute_0_8276]) ).
cnf(refute_0_8278,plain,
join(join(A,B),join(X_156,X_157)) = join(A,join(B,join(X_156,X_157))),
inference(subst,[],[refute_0_169:[bind(C,$fot(join(X_156,X_157)))]]) ).
cnf(refute_0_8279,plain,
( join(A,join(X_156,join(X_157,B))) != join(join(A,B),join(X_156,X_157))
| join(join(A,B),join(X_156,X_157)) != join(A,join(B,join(X_156,X_157)))
| join(A,join(X_156,join(X_157,B))) = join(A,join(B,join(X_156,X_157))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(X_156,join(X_157,B))),join(A,join(B,join(X_156,X_157)))) ),[0],$fot(join(join(A,B),join(X_156,X_157)))]]) ).
cnf(refute_0_8280,plain,
( join(A,join(X_156,join(X_157,B))) != join(join(A,B),join(X_156,X_157))
| join(A,join(X_156,join(X_157,B))) = join(A,join(B,join(X_156,X_157))) ),
inference(resolve,[$cnf( $equal(join(join(A,B),join(X_156,X_157)),join(A,join(B,join(X_156,X_157)))) )],[refute_0_8278,refute_0_8279]) ).
cnf(refute_0_8281,plain,
join(A,join(X_156,join(X_157,B))) = join(A,join(B,join(X_156,X_157))),
inference(resolve,[$cnf( $equal(join(A,join(X_156,join(X_157,B))),join(join(A,B),join(X_156,X_157))) )],[refute_0_8277,refute_0_8280]) ).
cnf(refute_0_8282,plain,
( join(A,join(X_156,join(X_157,B))) != join(A,join(B,join(X_156,X_157)))
| join(A,join(B,join(X_156,X_157))) = join(A,join(X_156,join(X_157,B))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(X_156,join(X_157,B))))),bind(Y,$fot(join(A,join(B,join(X_156,X_157)))))]]) ).
cnf(refute_0_8283,plain,
join(A,join(B,join(X_156,X_157))) = join(A,join(X_156,join(X_157,B))),
inference(resolve,[$cnf( $equal(join(A,join(X_156,join(X_157,B))),join(A,join(B,join(X_156,X_157)))) )],[refute_0_8281,refute_0_8282]) ).
cnf(refute_0_8284,plain,
join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) = join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))),
inference(subst,[],[refute_0_8283:[bind(A,$fot(one)),bind(B,$fot(converse(complement(top)))),bind(X_156,$fot(one)),bind(X_157,$fot(complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8285,plain,
( join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) != join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top)))))
| join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))) != join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))
| join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))))),bind(Y,$fot(join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))))),bind(Z,$fot(join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))))]]) ).
cnf(refute_0_8286,plain,
( join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))) != join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))
| join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))),join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top)))))) )],[refute_0_8284,refute_0_8285]) ).
cnf(refute_0_8287,plain,
join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(complement(top))))),join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) )],[refute_0_8272,refute_0_8286]) ).
cnf(refute_0_8288,plain,
join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top)))) = join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))),
inference(subst,[],[refute_0_6976:[bind(X_155,$fot(converse(complement(top)))),bind(X_157,$fot(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8289,plain,
( join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) != join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))
| join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top)))) != join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))))
| join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top)))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top)))))),bind(Y,$fot(join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))))),bind(Z,$fot(join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))))]]) ).
cnf(refute_0_8290,plain,
( join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) != join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))
| join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top)))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top)))),join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))))) )],[refute_0_8288,refute_0_8289]) ).
cnf(refute_0_8291,plain,
join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top)))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(top)),join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))),join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) )],[refute_0_8287,refute_0_8290]) ).
cnf(refute_0_8292,plain,
converse(join(one,join(converse(A),X_12))) = join(one,converse(join(converse(A),X_12))),
inference(subst,[],[refute_0_828:[bind(X_12,$fot(join(converse(A),X_12)))]]) ).
cnf(refute_0_8293,plain,
( converse(join(converse(A),X_12)) != join(A,converse(X_12))
| converse(join(one,join(converse(A),X_12))) != join(one,converse(join(converse(A),X_12)))
| converse(join(one,join(converse(A),X_12))) = join(one,join(A,converse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(converse(A),X_12))),join(one,converse(join(converse(A),X_12)))) ),[1,1],$fot(join(A,converse(X_12)))]]) ).
cnf(refute_0_8294,plain,
( converse(join(one,join(converse(A),X_12))) != join(one,converse(join(converse(A),X_12)))
| converse(join(one,join(converse(A),X_12))) = join(one,join(A,converse(X_12))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),X_12)),join(A,converse(X_12))) )],[refute_0_705,refute_0_8293]) ).
cnf(refute_0_8295,plain,
converse(join(one,join(converse(A),X_12))) = join(one,join(A,converse(X_12))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(A),X_12))),join(one,converse(join(converse(A),X_12)))) )],[refute_0_8292,refute_0_8294]) ).
cnf(refute_0_8296,plain,
converse(join(one,join(converse(A),X_12))) = join(A,converse(join(X_12,one))),
inference(subst,[],[refute_0_2789:[bind(X_155,$fot(one)),bind(X_157,$fot(X_12))]]) ).
cnf(refute_0_8297,plain,
( converse(join(one,join(converse(A),X_12))) != join(A,converse(join(X_12,one)))
| converse(join(one,join(converse(A),X_12))) != join(one,join(A,converse(X_12)))
| join(A,converse(join(X_12,one))) = join(one,join(A,converse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(converse(A),X_12))),join(one,join(A,converse(X_12)))) ),[0],$fot(join(A,converse(join(X_12,one))))]]) ).
cnf(refute_0_8298,plain,
( converse(join(one,join(converse(A),X_12))) != join(one,join(A,converse(X_12)))
| join(A,converse(join(X_12,one))) = join(one,join(A,converse(X_12))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(A),X_12))),join(A,converse(join(X_12,one)))) )],[refute_0_8296,refute_0_8297]) ).
cnf(refute_0_8299,plain,
join(A,converse(join(X_12,one))) = join(one,join(A,converse(X_12))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(A),X_12))),join(one,join(A,converse(X_12)))) )],[refute_0_8295,refute_0_8298]) ).
cnf(refute_0_8300,plain,
join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one))) = join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top)))),
inference(subst,[],[refute_0_8299:[bind(A,$fot(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))),bind(X_12,$fot(complement(top)))]]) ).
cnf(refute_0_8301,plain,
( join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one))) != join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top))))
| join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top)))) != join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))
| join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one))))),bind(Y,$fot(join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top)))))),bind(Z,$fot(join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))))]]) ).
cnf(refute_0_8302,plain,
( join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top)))) != join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))
| join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one))),join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top))))) )],[refute_0_8300,refute_0_8301]) ).
cnf(refute_0_8303,plain,
join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(one,join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(complement(top)))),join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) )],[refute_0_8291,refute_0_8302]) ).
cnf(refute_0_8304,plain,
converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))) = join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one))),
inference(subst,[],[refute_0_2789:[bind(A,$fot(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))),bind(X_155,$fot(one)),bind(X_157,$fot(complement(top)))]]) ).
cnf(refute_0_8305,plain,
( converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))) != join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one)))
| join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one))) != join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))
| converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))))),bind(Y,$fot(join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one))))),bind(Z,$fot(join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))))]]) ).
cnf(refute_0_8306,plain,
( join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one))) != join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))
| converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))),join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one)))) )],[refute_0_8304,refute_0_8305]) ).
cnf(refute_0_8307,plain,
converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))) = join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))),converse(join(complement(top),one))),join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) )],[refute_0_8303,refute_0_8306]) ).
cnf(refute_0_8308,plain,
( converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))) != join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))
| join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) != join(one,complement(join(converse(sk1),complement(join(sk1,complement(one))))))
| converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))) = join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))))),bind(Y,$fot(join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))))),bind(Z,$fot(join(one,complement(join(converse(sk1),complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8309,plain,
( join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))) != join(one,complement(join(converse(sk1),complement(join(sk1,complement(one))))))
| converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))) = join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))),join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one)))))))))) )],[refute_0_8307,refute_0_8308]) ).
cnf(refute_0_8310,plain,
converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))) = join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(top)),complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),join(one,complement(join(converse(sk1),complement(join(sk1,complement(one))))))) )],[refute_0_8267,refute_0_8309]) ).
cnf(refute_0_8311,plain,
( converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))) != join(one,complement(join(converse(sk1),complement(join(sk1,complement(one))))))
| top != converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top))))
| top = join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top))))) ),[1],$fot(join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8312,plain,
( top != converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top))))
| top = join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top)))),join(one,complement(join(converse(sk1),complement(join(sk1,complement(one))))))) )],[refute_0_8310,refute_0_8311]) ).
cnf(refute_0_8313,plain,
top = join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(top,converse(join(one,join(converse(join(one,complement(converse(join(sk1,converse(complement(join(sk1,complement(one))))))))),complement(top))))) )],[refute_0_8240,refute_0_8312]) ).
cnf(refute_0_8314,plain,
( top != join(one,complement(join(converse(sk1),complement(join(sk1,complement(one))))))
| join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(join(converse(sk1),complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8315,plain,
join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(join(converse(sk1),complement(join(sk1,complement(one))))))) )],[refute_0_8313,refute_0_8314]) ).
cnf(refute_0_8316,plain,
( join(converse(sk1),complement(join(sk1,complement(one)))) != meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))))))
| join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))) != top
| join(converse(sk1),complement(join(sk1,complement(one)))) = meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),complement(join(sk1,complement(one)))),meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_8317,plain,
( join(converse(sk1),complement(join(sk1,complement(one)))) != meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))))))
| join(converse(sk1),complement(join(sk1,complement(one)))) = meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))),top) )],[refute_0_8315,refute_0_8316]) ).
cnf(refute_0_8318,plain,
join(converse(sk1),complement(join(sk1,complement(one)))) = meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top))),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(sk1,complement(one)))),meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(join(one,complement(join(converse(sk1),complement(join(sk1,complement(one)))))))))) )],[refute_0_8201,refute_0_8317]) ).
cnf(refute_0_8319,plain,
meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))) = meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8320,plain,
( join(one,complement(top)) != one
| meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))) != meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one)))))
| meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))) = meet(one,join(converse(sk1),complement(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))),meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_8321,plain,
( join(one,complement(top)) != one
| meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))) = meet(one,join(converse(sk1),complement(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))),meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one)))))) )],[refute_0_8319,refute_0_8320]) ).
cnf(refute_0_8322,plain,
meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))) = meet(one,join(converse(sk1),complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(one,complement(top)),one) )],[refute_0_1624,refute_0_8321]) ).
cnf(refute_0_8323,plain,
meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top))) = meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(join(one,complement(top)))),bind(X_7,$fot(join(converse(sk1),complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8324,plain,
( meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top))) != meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one)))))
| meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))) != meet(one,join(converse(sk1),complement(join(sk1,complement(one)))))
| meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top))) = meet(one,join(converse(sk1),complement(join(sk1,complement(one))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top))))),bind(Y,$fot(meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))))),bind(Z,$fot(meet(one,join(converse(sk1),complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8325,plain,
( meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))) != meet(one,join(converse(sk1),complement(join(sk1,complement(one)))))
| meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top))) = meet(one,join(converse(sk1),complement(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top))),meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one)))))) )],[refute_0_8323,refute_0_8324]) ).
cnf(refute_0_8326,plain,
meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top))) = meet(one,join(converse(sk1),complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),join(converse(sk1),complement(join(sk1,complement(one))))),meet(one,join(converse(sk1),complement(join(sk1,complement(one)))))) )],[refute_0_8322,refute_0_8325]) ).
cnf(refute_0_8327,plain,
( join(converse(sk1),complement(join(sk1,complement(one)))) != meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top)))
| meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top))) != meet(one,join(converse(sk1),complement(join(sk1,complement(one)))))
| join(converse(sk1),complement(join(sk1,complement(one)))) = meet(one,join(converse(sk1),complement(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(converse(sk1),complement(join(sk1,complement(one)))),meet(one,join(converse(sk1),complement(join(sk1,complement(one)))))) ),[0],$fot(meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top))))]]) ).
cnf(refute_0_8328,plain,
( join(converse(sk1),complement(join(sk1,complement(one)))) != meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top)))
| join(converse(sk1),complement(join(sk1,complement(one)))) = meet(one,join(converse(sk1),complement(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top))),meet(one,join(converse(sk1),complement(join(sk1,complement(one)))))) )],[refute_0_8326,refute_0_8327]) ).
cnf(refute_0_8329,plain,
join(converse(sk1),complement(join(sk1,complement(one)))) = meet(one,join(converse(sk1),complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(sk1,complement(one)))),meet(join(converse(sk1),complement(join(sk1,complement(one)))),join(one,complement(top)))) )],[refute_0_8318,refute_0_8328]) ).
cnf(refute_0_8330,plain,
( join(converse(sk1),complement(join(sk1,complement(one)))) != meet(one,join(converse(sk1),complement(join(sk1,complement(one)))))
| meet(one,join(converse(sk1),complement(join(sk1,complement(one))))) = join(converse(sk1),complement(join(sk1,complement(one)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(converse(sk1),complement(join(sk1,complement(one)))))),bind(Y,$fot(meet(one,join(converse(sk1),complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8331,plain,
meet(one,join(converse(sk1),complement(join(sk1,complement(one))))) = join(converse(sk1),complement(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(sk1,complement(one)))),meet(one,join(converse(sk1),complement(join(sk1,complement(one)))))) )],[refute_0_8329,refute_0_8330]) ).
cnf(refute_0_8332,plain,
( meet(one,join(converse(sk1),complement(join(sk1,complement(one))))) != join(converse(sk1),complement(join(sk1,complement(one))))
| one != join(meet(one,join(converse(sk1),complement(join(sk1,complement(one))))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))
| one = join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,join(converse(sk1),complement(join(sk1,complement(one))))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) ),[1,0],$fot(join(converse(sk1),complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_8333,plain,
( one != join(meet(one,join(converse(sk1),complement(join(sk1,complement(one))))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))
| one = join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(converse(sk1),complement(join(sk1,complement(one))))),join(converse(sk1),complement(join(sk1,complement(one))))) )],[refute_0_8331,refute_0_8332]) ).
cnf(refute_0_8334,plain,
one = join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,join(converse(sk1),complement(join(sk1,complement(one))))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) )],[refute_0_8200,refute_0_8333]) ).
cnf(refute_0_8335,plain,
join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) = complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(join(sk1,complement(one)))),bind(B,$fot(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8336,plain,
join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) = join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8337,plain,
( join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) != complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))
| join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) != join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))
| join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) = join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) ),[1,1],$fot(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8338,plain,
( join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) != complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))
| join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) = join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) )],[refute_0_8336,refute_0_8337]) ).
cnf(refute_0_8339,plain,
join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) = join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) )],[refute_0_8335,refute_0_8338]) ).
cnf(refute_0_8340,plain,
join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) = join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_169:[bind(A,$fot(converse(sk1))),bind(B,$fot(complement(join(sk1,complement(one))))),bind(C,$fot(complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8341,plain,
( join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) != join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))
| join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) != join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))
| join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) = join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))),bind(Y,$fot(join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))),bind(Z,$fot(join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8342,plain,
( join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) != join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))
| join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) = join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) )],[refute_0_8340,refute_0_8341]) ).
cnf(refute_0_8343,plain,
join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) = join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),join(complement(join(sk1,complement(one))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) )],[refute_0_8339,refute_0_8342]) ).
cnf(refute_0_8344,plain,
( join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) != join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))
| one != join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))
| one = join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) ),[1],$fot(join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8345,plain,
( one != join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))
| one = join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) )],[refute_0_8343,refute_0_8344]) ).
cnf(refute_0_8346,plain,
one = join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(one,join(join(converse(sk1),complement(join(sk1,complement(one)))),complement(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) )],[refute_0_8334,refute_0_8345]) ).
cnf(refute_0_8347,plain,
( one != join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))
| join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8348,plain,
join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) )],[refute_0_8346,refute_0_8347]) ).
cnf(refute_0_8349,plain,
( complement(converse(sk1)) != meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))))
| join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) != one
| complement(converse(sk1)) = meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(sk1)),meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_0_8350,plain,
( complement(converse(sk1)) != meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))))
| complement(converse(sk1)) = meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),one) )],[refute_0_8348,refute_0_8349]) ).
cnf(refute_0_8351,plain,
complement(converse(sk1)) = meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(join(converse(sk1),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))))) )],[refute_0_8199,refute_0_8350]) ).
cnf(refute_0_8352,plain,
join(complement(one),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) = complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8353,plain,
join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)) = join(complement(one),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_2226:[bind(A,$fot(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8354,plain,
( join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)) != join(complement(one),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))
| join(complement(one),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) != complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))
| join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)) = complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)))),bind(Y,$fot(join(complement(one),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))),bind(Z,$fot(complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8355,plain,
( join(complement(one),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) != complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))
| join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)) = complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)),join(complement(one),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) )],[refute_0_8353,refute_0_8354]) ).
cnf(refute_0_8356,plain,
join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)) = complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) )],[refute_0_8352,refute_0_8355]) ).
cnf(refute_0_8357,plain,
meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))) = meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))))]]) ).
cnf(refute_0_8358,plain,
( join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)) != complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))
| meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))) != meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)))
| meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))) = meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))),meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)))) ),[1,1],$fot(complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8359,plain,
( join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)) != complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))
| meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))) = meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))),meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)))) )],[refute_0_8357,refute_0_8358]) ).
cnf(refute_0_8360,plain,
meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))) = meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) )],[refute_0_8356,refute_0_8359]) ).
cnf(refute_0_8361,plain,
( complement(converse(sk1)) != meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)))
| meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))) != meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))
| complement(converse(sk1)) = meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(sk1)),meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))) ),[0],$fot(meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))))]]) ).
cnf(refute_0_8362,plain,
( complement(converse(sk1)) != meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)))
| complement(converse(sk1)) = meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one))),meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))) )],[refute_0_8360,refute_0_8361]) ).
cnf(refute_0_8363,plain,
complement(converse(sk1)) = meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),meet(complement(converse(sk1)),join(complement(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),complement(one)))) )],[refute_0_8351,refute_0_8362]) ).
cnf(refute_0_8364,plain,
join(converse(sk1),complement(sk1)) = join(complement(sk1),converse(sk1)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(sk1))),bind(B,$fot(converse(sk1)))]]) ).
cnf(refute_0_8365,plain,
join(meet(one,complement(sk1)),join(X_31,complement(one))) = join(X_31,join(complement(one),meet(one,complement(sk1)))),
inference(subst,[],[refute_0_269:[bind(A,$fot(meet(one,complement(sk1)))),bind(X_32,$fot(complement(one)))]]) ).
cnf(refute_0_8366,plain,
( join(complement(one),meet(one,complement(sk1))) != complement(sk1)
| join(meet(one,complement(sk1)),join(X_31,complement(one))) != join(X_31,join(complement(one),meet(one,complement(sk1))))
| join(meet(one,complement(sk1)),join(X_31,complement(one))) = join(X_31,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(sk1)),join(X_31,complement(one))),join(X_31,join(complement(one),meet(one,complement(sk1))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_8367,plain,
( join(meet(one,complement(sk1)),join(X_31,complement(one))) != join(X_31,join(complement(one),meet(one,complement(sk1))))
| join(meet(one,complement(sk1)),join(X_31,complement(one))) = join(X_31,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(sk1))),complement(sk1)) )],[refute_0_2235,refute_0_8366]) ).
cnf(refute_0_8368,plain,
join(meet(one,complement(sk1)),join(X_31,complement(one))) = join(X_31,complement(sk1)),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),join(X_31,complement(one))),join(X_31,join(complement(one),meet(one,complement(sk1))))) )],[refute_0_8365,refute_0_8367]) ).
cnf(refute_0_8369,plain,
join(meet(one,complement(sk1)),join(X_31,complement(one))) = join(complement(one),join(X_31,meet(one,complement(sk1)))),
inference(subst,[],[refute_0_4586:[bind(X_155,$fot(complement(one))),bind(X_156,$fot(meet(one,complement(sk1)))),bind(X_157,$fot(X_31))]]) ).
cnf(refute_0_8370,plain,
( join(meet(one,complement(sk1)),join(X_31,complement(one))) != join(X_31,complement(sk1))
| join(meet(one,complement(sk1)),join(X_31,complement(one))) != join(complement(one),join(X_31,meet(one,complement(sk1))))
| join(complement(one),join(X_31,meet(one,complement(sk1)))) = join(X_31,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(sk1)),join(X_31,complement(one))),join(X_31,complement(sk1))) ),[0],$fot(join(complement(one),join(X_31,meet(one,complement(sk1)))))]]) ).
cnf(refute_0_8371,plain,
( join(meet(one,complement(sk1)),join(X_31,complement(one))) != join(X_31,complement(sk1))
| join(complement(one),join(X_31,meet(one,complement(sk1)))) = join(X_31,complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),join(X_31,complement(one))),join(complement(one),join(X_31,meet(one,complement(sk1))))) )],[refute_0_8369,refute_0_8370]) ).
cnf(refute_0_8372,plain,
join(complement(one),join(X_31,meet(one,complement(sk1)))) = join(X_31,complement(sk1)),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),join(X_31,complement(one))),join(X_31,complement(sk1))) )],[refute_0_8368,refute_0_8371]) ).
cnf(refute_0_8373,plain,
join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) = join(converse(sk1),complement(sk1)),
inference(subst,[],[refute_0_8372:[bind(X_31,$fot(converse(sk1)))]]) ).
cnf(refute_0_8374,plain,
( join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) != join(converse(sk1),complement(sk1))
| join(converse(sk1),complement(sk1)) != join(complement(sk1),converse(sk1))
| join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) = join(complement(sk1),converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),join(converse(sk1),meet(one,complement(sk1)))))),bind(Y,$fot(join(converse(sk1),complement(sk1)))),bind(Z,$fot(join(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_8375,plain,
( join(converse(sk1),complement(sk1)) != join(complement(sk1),converse(sk1))
| join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) = join(complement(sk1),converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),meet(one,complement(sk1)))),join(converse(sk1),complement(sk1))) )],[refute_0_8373,refute_0_8374]) ).
cnf(refute_0_8376,plain,
join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) = join(complement(sk1),converse(sk1)),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(sk1)),join(complement(sk1),converse(sk1))) )],[refute_0_8364,refute_0_8375]) ).
cnf(refute_0_8377,plain,
join(converse(sk1),complement(join(sk1,complement(one)))) = join(converse(sk1),complement(join(sk1,complement(one)))),
introduced(tautology,[refl,[$fot(join(converse(sk1),complement(join(sk1,complement(one)))))]]) ).
cnf(refute_0_8378,plain,
( complement(join(sk1,complement(one))) != meet(one,complement(sk1))
| join(converse(sk1),complement(join(sk1,complement(one)))) != join(converse(sk1),complement(join(sk1,complement(one))))
| join(converse(sk1),complement(join(sk1,complement(one)))) = join(converse(sk1),meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),complement(join(sk1,complement(one)))),join(converse(sk1),complement(join(sk1,complement(one))))) ),[1,1],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_8379,plain,
( complement(join(sk1,complement(one))) != meet(one,complement(sk1))
| join(converse(sk1),complement(join(sk1,complement(one)))) = join(converse(sk1),meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(sk1,complement(one)))),join(converse(sk1),complement(join(sk1,complement(one))))) )],[refute_0_8377,refute_0_8378]) ).
cnf(refute_0_8380,plain,
join(converse(sk1),complement(join(sk1,complement(one)))) = join(converse(sk1),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(one))),meet(one,complement(sk1))) )],[refute_0_2405,refute_0_8379]) ).
cnf(refute_0_8381,plain,
join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))) = join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8382,plain,
( join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))) != join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))
| join(converse(sk1),complement(join(sk1,complement(one)))) != join(converse(sk1),meet(one,complement(sk1)))
| join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))) = join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))) ),[1,1],$fot(join(converse(sk1),meet(one,complement(sk1))))]]) ).
cnf(refute_0_8383,plain,
( join(converse(sk1),complement(join(sk1,complement(one)))) != join(converse(sk1),meet(one,complement(sk1)))
| join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))) = join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))) )],[refute_0_8381,refute_0_8382]) ).
cnf(refute_0_8384,plain,
join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))) = join(complement(one),join(converse(sk1),meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(sk1,complement(one)))),join(converse(sk1),meet(one,complement(sk1)))) )],[refute_0_8380,refute_0_8383]) ).
cnf(refute_0_8385,plain,
( join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))) != join(complement(one),join(converse(sk1),meet(one,complement(sk1))))
| join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) != join(complement(sk1),converse(sk1))
| join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))) = join(complement(sk1),converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),bind(Y,$fot(join(complement(one),join(converse(sk1),meet(one,complement(sk1)))))),bind(Z,$fot(join(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_8386,plain,
( join(complement(one),join(converse(sk1),meet(one,complement(sk1)))) != join(complement(sk1),converse(sk1))
| join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))) = join(complement(sk1),converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))),join(complement(one),join(converse(sk1),meet(one,complement(sk1))))) )],[refute_0_8384,refute_0_8385]) ).
cnf(refute_0_8387,plain,
join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))) = join(complement(sk1),converse(sk1)),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),meet(one,complement(sk1)))),join(complement(sk1),converse(sk1))) )],[refute_0_8376,refute_0_8386]) ).
cnf(refute_0_8388,plain,
meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))) = meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8389,plain,
( join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))) != join(complement(sk1),converse(sk1))
| meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))) != meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))
| meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))) = meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))),meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) ),[1,1],$fot(join(complement(sk1),converse(sk1)))]]) ).
cnf(refute_0_8390,plain,
( join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))) != join(complement(sk1),converse(sk1))
| meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))) = meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))),meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) )],[refute_0_8388,refute_0_8389]) ).
cnf(refute_0_8391,plain,
meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))) = meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))),join(complement(sk1),converse(sk1))) )],[refute_0_8387,refute_0_8390]) ).
cnf(refute_0_8392,plain,
meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) = meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8393,plain,
( meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))) != meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))
| meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) != meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))
| meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) = meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) ),[1,1],$fot(meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_8394,plain,
( meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))) != meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))
| meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) = meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) )],[refute_0_8392,refute_0_8393]) ).
cnf(refute_0_8395,plain,
meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) = meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))),meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) )],[refute_0_8391,refute_0_8394]) ).
cnf(refute_0_8396,plain,
complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) = complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8397,plain,
( complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) != complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))
| meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) != meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))
| complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) = complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) ),[1,0],$fot(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_8398,plain,
( meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))) != meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))
| complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) = complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) )],[refute_0_8396,refute_0_8397]) ).
cnf(refute_0_8399,plain,
complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) = complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) )],[refute_0_8395,refute_0_8398]) ).
cnf(refute_0_8400,plain,
meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) = meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))),
introduced(tautology,[refl,[$fot(meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8401,plain,
( complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) != complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))
| meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) != meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))
| meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) = meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))),meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))) ),[1,1],$fot(complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_8402,plain,
( complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))) != complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))
| meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) = meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))),meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))) )],[refute_0_8400,refute_0_8401]) ).
cnf(refute_0_8403,plain,
meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) = meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) )],[refute_0_8399,refute_0_8402]) ).
cnf(refute_0_8404,plain,
( complement(converse(sk1)) != meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))
| meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))) != meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))
| complement(converse(sk1)) = meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(sk1)),meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))) ),[0],$fot(meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8405,plain,
( complement(converse(sk1)) != meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))
| complement(converse(sk1)) = meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one))))))))),meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))) )],[refute_0_8403,refute_0_8404]) ).
cnf(refute_0_8406,plain,
complement(converse(sk1)) = meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(one),join(converse(sk1),complement(join(sk1,complement(one)))))))))) )],[refute_0_8363,refute_0_8405]) ).
cnf(refute_0_8407,plain,
meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) = complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))),
inference(subst,[],[refute_0_3404:[bind(X_280,$fot(one)),bind(X_281,$fot(meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))),bind(X_97,$fot(converse(sk1)))]]) ).
cnf(refute_0_8408,plain,
( complement(converse(sk1)) != meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))
| meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) != complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))
| complement(converse(sk1)) = complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(sk1)),complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))) ),[0],$fot(meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_8409,plain,
( complement(converse(sk1)) != meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))
| complement(converse(sk1)) = complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))),complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))) )],[refute_0_8407,refute_0_8408]) ).
cnf(refute_0_8410,plain,
complement(converse(sk1)) = complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),meet(complement(converse(sk1)),complement(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))) )],[refute_0_8406,refute_0_8409]) ).
cnf(refute_0_8411,plain,
join(complement(complement(sk1)),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = complement(complement(sk1)),
inference(subst,[],[refute_0_47:[bind(A,$fot(sk1)),bind(B,$fot(complement(sk1)))]]) ).
cnf(refute_0_8412,plain,
join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(converse(sk1)))))) = complement(complement(converse(sk1))),
inference(subst,[],[refute_0_47:[bind(A,$fot(sk1)),bind(B,$fot(complement(converse(sk1))))]]) ).
cnf(refute_0_8413,plain,
( composition(sk1,complement(converse(sk1))) != composition(sk1,complement(sk1))
| join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(converse(sk1)))))) != complement(complement(converse(sk1)))
| join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = complement(complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(converse(sk1)))))),complement(complement(converse(sk1)))) ),[0,1,1,0],$fot(composition(sk1,complement(sk1)))]]) ).
cnf(refute_0_8414,plain,
( join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(converse(sk1)))))) != complement(complement(converse(sk1)))
| join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = complement(complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(composition(sk1,complement(converse(sk1))),composition(sk1,complement(sk1))) )],[refute_0_5808,refute_0_8413]) ).
cnf(refute_0_8415,plain,
join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = complement(complement(converse(sk1))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(converse(sk1)))))),complement(complement(converse(sk1)))) )],[refute_0_8412,refute_0_8414]) ).
cnf(refute_0_8416,plain,
converse(composition(converse(complement(X_545)),X_19)) = composition(converse(X_19),complement(X_545)),
inference(subst,[],[refute_0_58:[bind(A,$fot(complement(X_545)))]]) ).
cnf(refute_0_8417,plain,
( converse(complement(X_545)) != complement(converse(X_545))
| converse(composition(converse(complement(X_545)),X_19)) != composition(converse(X_19),complement(X_545))
| converse(composition(complement(converse(X_545)),X_19)) = composition(converse(X_19),complement(X_545)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(complement(X_545)),X_19)),composition(converse(X_19),complement(X_545))) ),[0,0,0],$fot(complement(converse(X_545)))]]) ).
cnf(refute_0_8418,plain,
( converse(composition(converse(complement(X_545)),X_19)) != composition(converse(X_19),complement(X_545))
| converse(composition(complement(converse(X_545)),X_19)) = composition(converse(X_19),complement(X_545)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_545)),complement(converse(X_545))) )],[refute_0_5686,refute_0_8417]) ).
cnf(refute_0_8419,plain,
converse(composition(complement(converse(X_545)),X_19)) = composition(converse(X_19),complement(X_545)),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(X_545)),X_19)),composition(converse(X_19),complement(X_545))) )],[refute_0_8416,refute_0_8418]) ).
cnf(refute_0_8420,plain,
converse(composition(complement(converse(composition(sk1,complement(sk1)))),sk1)) = composition(converse(sk1),complement(composition(sk1,complement(sk1)))),
inference(subst,[],[refute_0_8419:[bind(X_19,$fot(sk1)),bind(X_545,$fot(composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_8421,plain,
join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) = join(one,join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))),
inference(subst,[],[refute_0_5843:[bind(A,$fot(one)),bind(B,$fot(complement(join(one,composition(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_8422,plain,
( join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) != complement(composition(complement(sk1),converse(sk1)))
| join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) != join(one,join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))
| join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) = join(one,complement(composition(complement(sk1),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))),join(one,join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))) ),[1,1],$fot(complement(composition(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_8423,plain,
( join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) != join(one,join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))
| join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) = join(one,complement(composition(complement(sk1),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(complement(sk1),converse(sk1))))),complement(composition(complement(sk1),converse(sk1)))) )],[refute_0_4559,refute_0_8422]) ).
cnf(refute_0_8424,plain,
join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) = join(one,complement(composition(complement(sk1),converse(sk1)))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))),join(one,join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))) )],[refute_0_8421,refute_0_8423]) ).
cnf(refute_0_8425,plain,
join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))) = join(one,complement(join(one,composition(complement(sk1),converse(sk1))))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(complement(join(one,composition(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_8426,plain,
( join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) != complement(composition(complement(sk1),converse(sk1)))
| join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))) != join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))
| join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))) = complement(composition(complement(sk1),converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))))),bind(Y,$fot(join(one,complement(join(one,composition(complement(sk1),converse(sk1))))))),bind(Z,$fot(complement(composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_8427,plain,
( join(one,complement(join(one,composition(complement(sk1),converse(sk1))))) != complement(composition(complement(sk1),converse(sk1)))
| join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))) = complement(composition(complement(sk1),converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))),join(one,complement(join(one,composition(complement(sk1),converse(sk1)))))) )],[refute_0_8425,refute_0_8426]) ).
cnf(refute_0_8428,plain,
join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))) = complement(composition(complement(sk1),converse(sk1))),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(complement(sk1),converse(sk1))))),complement(composition(complement(sk1),converse(sk1)))) )],[refute_0_4559,refute_0_8427]) ).
cnf(refute_0_8429,plain,
join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one) = join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))),
inference(subst,[],[refute_0_1401:[bind(A,$fot(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_8430,plain,
( join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one) != join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))
| join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))) != complement(composition(complement(sk1),converse(sk1)))
| join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one) = complement(composition(complement(sk1),converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one))),bind(Y,$fot(join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))))),bind(Z,$fot(complement(composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_8431,plain,
( join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))) != complement(composition(complement(sk1),converse(sk1)))
| join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one) = complement(composition(complement(sk1),converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one),join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))) )],[refute_0_8429,refute_0_8430]) ).
cnf(refute_0_8432,plain,
join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one) = complement(composition(complement(sk1),converse(sk1))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))),complement(composition(complement(sk1),converse(sk1)))) )],[refute_0_8428,refute_0_8431]) ).
cnf(refute_0_8433,plain,
join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))) = join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one),
inference(subst,[],[refute_0_3187:[bind(A,$fot(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))),bind(X_32,$fot(one))]]) ).
cnf(refute_0_8434,plain,
( join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one) != complement(composition(complement(sk1),converse(sk1)))
| join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))) != join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one)
| join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))) = complement(composition(complement(sk1),converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))))),bind(Y,$fot(join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one))),bind(Z,$fot(complement(composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_8435,plain,
( join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one) != complement(composition(complement(sk1),converse(sk1)))
| join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))) = complement(composition(complement(sk1),converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))),join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one)) )],[refute_0_8433,refute_0_8434]) ).
cnf(refute_0_8436,plain,
join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))) = complement(composition(complement(sk1),converse(sk1))),
inference(resolve,[$cnf( $equal(join(join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))),one),complement(composition(complement(sk1),converse(sk1)))) )],[refute_0_8432,refute_0_8435]) ).
cnf(refute_0_8437,plain,
join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) = join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))),
inference(subst,[],[refute_0_8048:[bind(A,$fot(complement(join(one,composition(complement(sk1),converse(sk1)))))),bind(X_276,$fot(one)),bind(X_32,$fot(sk1))]]) ).
cnf(refute_0_8438,plain,
( join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) != join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))))
| join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))) != complement(composition(complement(sk1),converse(sk1)))
| join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) = complement(composition(complement(sk1),converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))))),bind(Y,$fot(join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))))),bind(Z,$fot(complement(composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_8439,plain,
( join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))) != complement(composition(complement(sk1),converse(sk1)))
| join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) = complement(composition(complement(sk1),converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))),join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1)))))))) )],[refute_0_8437,refute_0_8438]) ).
cnf(refute_0_8440,plain,
join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) = complement(composition(complement(sk1),converse(sk1))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(sk1,complement(join(one,composition(complement(sk1),converse(sk1))))))),complement(composition(complement(sk1),converse(sk1)))) )],[refute_0_8436,refute_0_8439]) ).
cnf(refute_0_8441,plain,
( join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) != complement(composition(complement(sk1),converse(sk1)))
| join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) != join(one,complement(composition(complement(sk1),converse(sk1))))
| complement(composition(complement(sk1),converse(sk1))) = join(one,complement(composition(complement(sk1),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))),join(one,complement(composition(complement(sk1),converse(sk1))))) ),[0],$fot(complement(composition(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_8442,plain,
( join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))) != join(one,complement(composition(complement(sk1),converse(sk1))))
| complement(composition(complement(sk1),converse(sk1))) = join(one,complement(composition(complement(sk1),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))),complement(composition(complement(sk1),converse(sk1)))) )],[refute_0_8440,refute_0_8441]) ).
cnf(refute_0_8443,plain,
complement(composition(complement(sk1),converse(sk1))) = join(one,complement(composition(complement(sk1),converse(sk1)))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(join(one,composition(complement(sk1),converse(sk1)))),sk1))),join(one,complement(composition(complement(sk1),converse(sk1))))) )],[refute_0_8424,refute_0_8442]) ).
cnf(refute_0_8444,plain,
( complement(composition(complement(sk1),converse(sk1))) != complement(converse(composition(sk1,complement(sk1))))
| complement(composition(complement(sk1),converse(sk1))) != join(one,complement(composition(complement(sk1),converse(sk1))))
| complement(converse(composition(sk1,complement(sk1)))) = join(one,complement(composition(complement(sk1),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),join(one,complement(composition(complement(sk1),converse(sk1))))) ),[0],$fot(complement(converse(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_8445,plain,
( complement(composition(complement(sk1),converse(sk1))) != join(one,complement(composition(complement(sk1),converse(sk1))))
| complement(converse(composition(sk1,complement(sk1)))) = join(one,complement(composition(complement(sk1),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),complement(converse(composition(sk1,complement(sk1))))) )],[refute_0_5782,refute_0_8444]) ).
cnf(refute_0_8446,plain,
converse(join(one,complement(X_545))) = join(one,converse(complement(X_545))),
inference(subst,[],[refute_0_828:[bind(X_12,$fot(complement(X_545)))]]) ).
cnf(refute_0_8447,plain,
( converse(complement(X_545)) != complement(converse(X_545))
| converse(join(one,complement(X_545))) != join(one,converse(complement(X_545)))
| converse(join(one,complement(X_545))) = join(one,complement(converse(X_545))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(X_545))),join(one,converse(complement(X_545)))) ),[1,1],$fot(complement(converse(X_545)))]]) ).
cnf(refute_0_8448,plain,
( converse(join(one,complement(X_545))) != join(one,converse(complement(X_545)))
| converse(join(one,complement(X_545))) = join(one,complement(converse(X_545))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_545)),complement(converse(X_545))) )],[refute_0_5686,refute_0_8447]) ).
cnf(refute_0_8449,plain,
converse(join(one,complement(X_545))) = join(one,complement(converse(X_545))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(X_545))),join(one,converse(complement(X_545)))) )],[refute_0_8446,refute_0_8448]) ).
cnf(refute_0_8450,plain,
( converse(join(one,complement(X_545))) != join(one,complement(converse(X_545)))
| join(one,complement(converse(X_545))) = converse(join(one,complement(X_545))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,complement(X_545))))),bind(Y,$fot(join(one,complement(converse(X_545)))))]]) ).
cnf(refute_0_8451,plain,
join(one,complement(converse(X_545))) = converse(join(one,complement(X_545))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(X_545))),join(one,complement(converse(X_545)))) )],[refute_0_8449,refute_0_8450]) ).
cnf(refute_0_8452,plain,
join(one,complement(converse(composition(sk1,complement(sk1))))) = converse(join(one,complement(composition(sk1,complement(sk1))))),
inference(subst,[],[refute_0_8451:[bind(X_545,$fot(composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_8453,plain,
join(one,complement(composition(complement(sk1),converse(sk1)))) = join(one,complement(composition(complement(sk1),converse(sk1)))),
introduced(tautology,[refl,[$fot(join(one,complement(composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_8454,plain,
( complement(composition(complement(sk1),converse(sk1))) != complement(converse(composition(sk1,complement(sk1))))
| join(one,complement(composition(complement(sk1),converse(sk1)))) != join(one,complement(composition(complement(sk1),converse(sk1))))
| join(one,complement(composition(complement(sk1),converse(sk1)))) = join(one,complement(converse(composition(sk1,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(complement(sk1),converse(sk1)))),join(one,complement(composition(complement(sk1),converse(sk1))))) ),[1,1],$fot(complement(converse(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_8455,plain,
( complement(composition(complement(sk1),converse(sk1))) != complement(converse(composition(sk1,complement(sk1))))
| join(one,complement(composition(complement(sk1),converse(sk1)))) = join(one,complement(converse(composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(sk1),converse(sk1)))),join(one,complement(composition(complement(sk1),converse(sk1))))) )],[refute_0_8453,refute_0_8454]) ).
cnf(refute_0_8456,plain,
join(one,complement(composition(complement(sk1),converse(sk1)))) = join(one,complement(converse(composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),complement(converse(composition(sk1,complement(sk1))))) )],[refute_0_5782,refute_0_8455]) ).
cnf(refute_0_8457,plain,
( join(one,complement(composition(complement(sk1),converse(sk1)))) != join(one,complement(converse(composition(sk1,complement(sk1)))))
| join(one,complement(converse(composition(sk1,complement(sk1))))) != converse(join(one,complement(composition(sk1,complement(sk1)))))
| join(one,complement(composition(complement(sk1),converse(sk1)))) = converse(join(one,complement(composition(sk1,complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,complement(composition(complement(sk1),converse(sk1)))))),bind(Y,$fot(join(one,complement(converse(composition(sk1,complement(sk1))))))),bind(Z,$fot(converse(join(one,complement(composition(sk1,complement(sk1)))))))]]) ).
cnf(refute_0_8458,plain,
( join(one,complement(converse(composition(sk1,complement(sk1))))) != converse(join(one,complement(composition(sk1,complement(sk1)))))
| join(one,complement(composition(complement(sk1),converse(sk1)))) = converse(join(one,complement(composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(sk1),converse(sk1)))),join(one,complement(converse(composition(sk1,complement(sk1)))))) )],[refute_0_8456,refute_0_8457]) ).
cnf(refute_0_8459,plain,
join(one,complement(composition(complement(sk1),converse(sk1)))) = converse(join(one,complement(composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(sk1,complement(sk1))))),converse(join(one,complement(composition(sk1,complement(sk1)))))) )],[refute_0_8452,refute_0_8458]) ).
cnf(refute_0_8460,plain,
( complement(converse(composition(sk1,complement(sk1)))) != join(one,complement(composition(complement(sk1),converse(sk1))))
| join(one,complement(composition(complement(sk1),converse(sk1)))) != converse(join(one,complement(composition(sk1,complement(sk1)))))
| complement(converse(composition(sk1,complement(sk1)))) = converse(join(one,complement(composition(sk1,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(composition(sk1,complement(sk1)))),converse(join(one,complement(composition(sk1,complement(sk1)))))) ),[0],$fot(join(one,complement(composition(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_8461,plain,
( complement(converse(composition(sk1,complement(sk1)))) != join(one,complement(composition(complement(sk1),converse(sk1))))
| complement(converse(composition(sk1,complement(sk1)))) = converse(join(one,complement(composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(sk1),converse(sk1)))),converse(join(one,complement(composition(sk1,complement(sk1)))))) )],[refute_0_8459,refute_0_8460]) ).
cnf(refute_0_8462,plain,
( complement(composition(complement(sk1),converse(sk1))) != join(one,complement(composition(complement(sk1),converse(sk1))))
| complement(converse(composition(sk1,complement(sk1)))) = converse(join(one,complement(composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(sk1,complement(sk1)))),join(one,complement(composition(complement(sk1),converse(sk1))))) )],[refute_0_8445,refute_0_8461]) ).
cnf(refute_0_8463,plain,
complement(converse(composition(sk1,complement(sk1)))) = converse(join(one,complement(composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),join(one,complement(composition(complement(sk1),converse(sk1))))) )],[refute_0_8443,refute_0_8462]) ).
cnf(refute_0_8464,plain,
( complement(converse(composition(sk1,complement(sk1)))) != converse(join(one,complement(composition(sk1,complement(sk1)))))
| converse(join(one,complement(composition(sk1,complement(sk1))))) = complement(converse(composition(sk1,complement(sk1)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(composition(sk1,complement(sk1)))))),bind(Y,$fot(converse(join(one,complement(composition(sk1,complement(sk1)))))))]]) ).
cnf(refute_0_8465,plain,
converse(join(one,complement(composition(sk1,complement(sk1))))) = complement(converse(composition(sk1,complement(sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(sk1,complement(sk1)))),converse(join(one,complement(composition(sk1,complement(sk1)))))) )],[refute_0_8463,refute_0_8464]) ).
cnf(refute_0_8466,plain,
join(one,converse(complement(composition(sk1,complement(sk1))))) = converse(join(one,complement(composition(sk1,complement(sk1))))),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(complement(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_8467,plain,
( converse(join(one,complement(composition(sk1,complement(sk1))))) != complement(converse(composition(sk1,complement(sk1))))
| join(one,converse(complement(composition(sk1,complement(sk1))))) != converse(join(one,complement(composition(sk1,complement(sk1)))))
| join(one,converse(complement(composition(sk1,complement(sk1))))) = complement(converse(composition(sk1,complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,converse(complement(composition(sk1,complement(sk1))))))),bind(Y,$fot(converse(join(one,complement(composition(sk1,complement(sk1))))))),bind(Z,$fot(complement(converse(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_8468,plain,
( converse(join(one,complement(composition(sk1,complement(sk1))))) != complement(converse(composition(sk1,complement(sk1))))
| join(one,converse(complement(composition(sk1,complement(sk1))))) = complement(converse(composition(sk1,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(composition(sk1,complement(sk1))))),converse(join(one,complement(composition(sk1,complement(sk1)))))) )],[refute_0_8466,refute_0_8467]) ).
cnf(refute_0_8469,plain,
join(one,converse(complement(composition(sk1,complement(sk1))))) = complement(converse(composition(sk1,complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(composition(sk1,complement(sk1))))),complement(converse(composition(sk1,complement(sk1))))) )],[refute_0_8465,refute_0_8468]) ).
cnf(refute_0_8470,plain,
composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1) = composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1),
introduced(tautology,[refl,[$fot(composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1))]]) ).
cnf(refute_0_8471,plain,
( composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1) != composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1)
| join(one,converse(complement(composition(sk1,complement(sk1))))) != complement(converse(composition(sk1,complement(sk1))))
| composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1) = composition(complement(converse(composition(sk1,complement(sk1)))),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1),composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1)) ),[1,0],$fot(complement(converse(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_8472,plain,
( join(one,converse(complement(composition(sk1,complement(sk1))))) != complement(converse(composition(sk1,complement(sk1))))
| composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1) = composition(complement(converse(composition(sk1,complement(sk1)))),sk1) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1),composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1)) )],[refute_0_8470,refute_0_8471]) ).
cnf(refute_0_8473,plain,
composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1) = composition(complement(converse(composition(sk1,complement(sk1)))),sk1),
inference(resolve,[$cnf( $equal(join(one,converse(complement(composition(sk1,complement(sk1))))),complement(converse(composition(sk1,complement(sk1))))) )],[refute_0_8469,refute_0_8472]) ).
cnf(refute_0_8474,plain,
complement(converse(complement(converse(complement(complement(X_116)))))) = join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),meet(complement(X_116),complement(converse(complement(converse(complement(complement(X_116)))))))),
inference(subst,[],[refute_0_1899:[bind(X_117,$fot(complement(converse(complement(converse(complement(complement(X_116))))))))]]) ).
cnf(refute_0_8475,plain,
meet(complement(X_116),complement(converse(complement(converse(complement(complement(X_116))))))) = zero,
inference(subst,[],[refute_0_6465:[bind(X_298,$fot(complement(X_116)))]]) ).
cnf(refute_0_8476,plain,
( complement(converse(complement(converse(complement(complement(X_116)))))) != join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),meet(complement(X_116),complement(converse(complement(converse(complement(complement(X_116))))))))
| meet(complement(X_116),complement(converse(complement(converse(complement(complement(X_116))))))) != zero
| complement(converse(complement(converse(complement(complement(X_116)))))) = join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(complement(complement(X_116)))))),join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),meet(complement(X_116),complement(converse(complement(converse(complement(complement(X_116))))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_8477,plain,
( complement(converse(complement(converse(complement(complement(X_116)))))) != join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),meet(complement(X_116),complement(converse(complement(converse(complement(complement(X_116))))))))
| complement(converse(complement(converse(complement(complement(X_116)))))) = join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(X_116),complement(converse(complement(converse(complement(complement(X_116))))))),zero) )],[refute_0_8475,refute_0_8476]) ).
cnf(refute_0_8478,plain,
complement(converse(complement(converse(complement(complement(X_116)))))) = join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(complement(X_116)))))),join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),meet(complement(X_116),complement(converse(complement(converse(complement(complement(X_116))))))))) )],[refute_0_8474,refute_0_8477]) ).
cnf(refute_0_8479,plain,
complement(complement(X_116)) = X_116,
inference(subst,[],[refute_0_623:[bind(X_97,$fot(X_116))]]) ).
cnf(refute_0_8480,plain,
converse(complement(complement(X_116))) = converse(complement(complement(X_116))),
introduced(tautology,[refl,[$fot(converse(complement(complement(X_116))))]]) ).
cnf(refute_0_8481,plain,
( complement(complement(X_116)) != X_116
| converse(complement(complement(X_116))) != converse(complement(complement(X_116)))
| converse(complement(complement(X_116))) = converse(X_116) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(X_116))),converse(complement(complement(X_116)))) ),[1,0],$fot(X_116)]]) ).
cnf(refute_0_8482,plain,
( complement(complement(X_116)) != X_116
| converse(complement(complement(X_116))) = converse(X_116) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_116))),converse(complement(complement(X_116)))) )],[refute_0_8480,refute_0_8481]) ).
cnf(refute_0_8483,plain,
converse(complement(complement(X_116))) = converse(X_116),
inference(resolve,[$cnf( $equal(complement(complement(X_116)),X_116) )],[refute_0_8479,refute_0_8482]) ).
cnf(refute_0_8484,plain,
complement(converse(complement(complement(X_116)))) = complement(converse(complement(complement(X_116)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(complement(X_116)))))]]) ).
cnf(refute_0_8485,plain,
( complement(converse(complement(complement(X_116)))) != complement(converse(complement(complement(X_116))))
| converse(complement(complement(X_116))) != converse(X_116)
| complement(converse(complement(complement(X_116)))) = complement(converse(X_116)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(X_116)))),complement(converse(complement(complement(X_116))))) ),[1,0],$fot(converse(X_116))]]) ).
cnf(refute_0_8486,plain,
( converse(complement(complement(X_116))) != converse(X_116)
| complement(converse(complement(complement(X_116)))) = complement(converse(X_116)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_116)))),complement(converse(complement(complement(X_116))))) )],[refute_0_8484,refute_0_8485]) ).
cnf(refute_0_8487,plain,
complement(converse(complement(complement(X_116)))) = complement(converse(X_116)),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_116))),converse(X_116)) )],[refute_0_8483,refute_0_8486]) ).
cnf(refute_0_8488,plain,
converse(complement(converse(complement(complement(X_116))))) = converse(complement(converse(complement(complement(X_116))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(complement(X_116))))))]]) ).
cnf(refute_0_8489,plain,
( complement(converse(complement(complement(X_116)))) != complement(converse(X_116))
| converse(complement(converse(complement(complement(X_116))))) != converse(complement(converse(complement(complement(X_116)))))
| converse(complement(converse(complement(complement(X_116))))) = converse(complement(converse(X_116))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_116))))),converse(complement(converse(complement(complement(X_116)))))) ),[1,0],$fot(complement(converse(X_116)))]]) ).
cnf(refute_0_8490,plain,
( complement(converse(complement(complement(X_116)))) != complement(converse(X_116))
| converse(complement(converse(complement(complement(X_116))))) = converse(complement(converse(X_116))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_116))))),converse(complement(converse(complement(complement(X_116)))))) )],[refute_0_8488,refute_0_8489]) ).
cnf(refute_0_8491,plain,
converse(complement(converse(complement(complement(X_116))))) = converse(complement(converse(X_116))),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_116)))),complement(converse(X_116))) )],[refute_0_8487,refute_0_8490]) ).
cnf(refute_0_8492,plain,
complement(converse(complement(converse(complement(complement(X_116)))))) = complement(converse(complement(converse(complement(complement(X_116)))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(complement(complement(X_116)))))))]]) ).
cnf(refute_0_8493,plain,
( complement(converse(complement(converse(complement(complement(X_116)))))) != complement(converse(complement(converse(complement(complement(X_116))))))
| converse(complement(converse(complement(complement(X_116))))) != converse(complement(converse(X_116)))
| complement(converse(complement(converse(complement(complement(X_116)))))) = complement(converse(complement(converse(X_116)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(complement(complement(X_116)))))),complement(converse(complement(converse(complement(complement(X_116))))))) ),[1,0],$fot(converse(complement(converse(X_116))))]]) ).
cnf(refute_0_8494,plain,
( converse(complement(converse(complement(complement(X_116))))) != converse(complement(converse(X_116)))
| complement(converse(complement(converse(complement(complement(X_116)))))) = complement(converse(complement(converse(X_116)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(complement(X_116)))))),complement(converse(complement(converse(complement(complement(X_116))))))) )],[refute_0_8492,refute_0_8493]) ).
cnf(refute_0_8495,plain,
complement(converse(complement(converse(complement(complement(X_116)))))) = complement(converse(complement(converse(X_116)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_116))))),converse(complement(converse(X_116)))) )],[refute_0_8491,refute_0_8494]) ).
cnf(refute_0_8496,plain,
( complement(converse(complement(converse(complement(complement(X_116)))))) != complement(converse(complement(converse(X_116))))
| complement(converse(complement(converse(complement(complement(X_116)))))) != join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero)
| complement(converse(complement(converse(X_116)))) = join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(complement(complement(X_116)))))),join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero)) ),[0],$fot(complement(converse(complement(converse(X_116)))))]]) ).
cnf(refute_0_8497,plain,
( complement(converse(complement(converse(complement(complement(X_116)))))) != join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero)
| complement(converse(complement(converse(X_116)))) = join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(complement(X_116)))))),complement(converse(complement(converse(X_116))))) )],[refute_0_8495,refute_0_8496]) ).
cnf(refute_0_8498,plain,
meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))) = meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))),
introduced(tautology,[refl,[$fot(meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))))]]) ).
cnf(refute_0_8499,plain,
( complement(converse(complement(converse(complement(complement(X_116)))))) != complement(converse(complement(converse(X_116))))
| meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))) != meet(X_116,complement(converse(complement(converse(complement(complement(X_116)))))))
| meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))) = meet(X_116,complement(converse(complement(converse(X_116))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))),meet(X_116,complement(converse(complement(converse(complement(complement(X_116)))))))) ),[1,1],$fot(complement(converse(complement(converse(X_116)))))]]) ).
cnf(refute_0_8500,plain,
( complement(converse(complement(converse(complement(complement(X_116)))))) != complement(converse(complement(converse(X_116))))
| meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))) = meet(X_116,complement(converse(complement(converse(X_116))))) ),
inference(resolve,[$cnf( $equal(meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))),meet(X_116,complement(converse(complement(converse(complement(complement(X_116)))))))) )],[refute_0_8498,refute_0_8499]) ).
cnf(refute_0_8501,plain,
meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))) = meet(X_116,complement(converse(complement(converse(X_116))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(complement(X_116)))))),complement(converse(complement(converse(X_116))))) )],[refute_0_8495,refute_0_8500]) ).
cnf(refute_0_8502,plain,
meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116) = meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(X_116)),bind(X_7,$fot(complement(converse(complement(converse(complement(complement(X_116))))))))]]) ).
cnf(refute_0_8503,plain,
join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)) = meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)))]]) ).
cnf(refute_0_8504,plain,
( join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)) != meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)
| meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116) != meet(X_116,complement(converse(complement(converse(complement(complement(X_116)))))))
| join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)) = meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)))),bind(Y,$fot(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116))),bind(Z,$fot(meet(X_116,complement(converse(complement(converse(complement(complement(X_116)))))))))]]) ).
cnf(refute_0_8505,plain,
( meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116) != meet(X_116,complement(converse(complement(converse(complement(complement(X_116)))))))
| join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)) = meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)),meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)) )],[refute_0_8503,refute_0_8504]) ).
cnf(refute_0_8506,plain,
join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)) = meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),meet(X_116,complement(converse(complement(converse(complement(complement(X_116)))))))) )],[refute_0_8502,refute_0_8505]) ).
cnf(refute_0_8507,plain,
join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) = join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116))),bind(B,$fot(zero))]]) ).
cnf(refute_0_8508,plain,
( join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) != join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116))
| join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)) != meet(X_116,complement(converse(complement(converse(complement(complement(X_116)))))))
| join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) = meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero))),bind(Y,$fot(join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)))),bind(Z,$fot(meet(X_116,complement(converse(complement(converse(complement(complement(X_116)))))))))]]) ).
cnf(refute_0_8509,plain,
( join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)) != meet(X_116,complement(converse(complement(converse(complement(complement(X_116)))))))
| join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) = meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero),join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116))) )],[refute_0_8507,refute_0_8508]) ).
cnf(refute_0_8510,plain,
join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) = meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116)),meet(X_116,complement(converse(complement(converse(complement(complement(X_116)))))))) )],[refute_0_8506,refute_0_8509]) ).
cnf(refute_0_8511,plain,
( join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) != meet(X_116,complement(converse(complement(converse(complement(complement(X_116)))))))
| meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))) != meet(X_116,complement(converse(complement(converse(X_116)))))
| join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) = meet(X_116,complement(converse(complement(converse(X_116))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero))),bind(Y,$fot(meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))))),bind(Z,$fot(meet(X_116,complement(converse(complement(converse(X_116)))))))]]) ).
cnf(refute_0_8512,plain,
( meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))) != meet(X_116,complement(converse(complement(converse(X_116)))))
| join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) = meet(X_116,complement(converse(complement(converse(X_116))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero),meet(X_116,complement(converse(complement(converse(complement(complement(X_116)))))))) )],[refute_0_8510,refute_0_8511]) ).
cnf(refute_0_8513,plain,
join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) = meet(X_116,complement(converse(complement(converse(X_116))))),
inference(resolve,[$cnf( $equal(meet(X_116,complement(converse(complement(converse(complement(complement(X_116))))))),meet(X_116,complement(converse(complement(converse(X_116)))))) )],[refute_0_8501,refute_0_8512]) ).
cnf(refute_0_8514,plain,
( complement(converse(complement(converse(X_116)))) != join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero)
| join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero) != meet(X_116,complement(converse(complement(converse(X_116)))))
| complement(converse(complement(converse(X_116)))) = meet(X_116,complement(converse(complement(converse(X_116))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(converse(X_116)))),meet(X_116,complement(converse(complement(converse(X_116)))))) ),[0],$fot(join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero))]]) ).
cnf(refute_0_8515,plain,
( complement(converse(complement(converse(X_116)))) != join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero)
| complement(converse(complement(converse(X_116)))) = meet(X_116,complement(converse(complement(converse(X_116))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero),meet(X_116,complement(converse(complement(converse(X_116)))))) )],[refute_0_8513,refute_0_8514]) ).
cnf(refute_0_8516,plain,
( complement(converse(complement(converse(complement(complement(X_116)))))) != join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero)
| complement(converse(complement(converse(X_116)))) = meet(X_116,complement(converse(complement(converse(X_116))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(X_116)))),join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero)) )],[refute_0_8497,refute_0_8515]) ).
cnf(refute_0_8517,plain,
complement(converse(complement(converse(X_116)))) = meet(X_116,complement(converse(complement(converse(X_116))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(complement(X_116)))))),join(meet(complement(converse(complement(converse(complement(complement(X_116)))))),X_116),zero)) )],[refute_0_8478,refute_0_8516]) ).
cnf(refute_0_8518,plain,
complement(converse(complement(converse(composition(join(one,X_198),X_199))))) = meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))),
inference(subst,[],[refute_0_8517:[bind(X_116,$fot(composition(join(one,X_198),X_199)))]]) ).
cnf(refute_0_8519,plain,
converse(composition(join(X_11,converse(A)),X_19)) = composition(converse(X_19),converse(join(X_11,converse(A)))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(join(X_11,converse(A)))),bind(B,$fot(X_19))]]) ).
cnf(refute_0_8520,plain,
( converse(composition(join(X_11,converse(A)),X_19)) != composition(converse(X_19),converse(join(X_11,converse(A))))
| converse(join(X_11,converse(A))) != join(converse(X_11),A)
| converse(composition(join(X_11,converse(A)),X_19)) = composition(converse(X_19),join(converse(X_11),A)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_11,converse(A)),X_19)),composition(converse(X_19),converse(join(X_11,converse(A))))) ),[1,1],$fot(join(converse(X_11),A))]]) ).
cnf(refute_0_8521,plain,
( converse(composition(join(X_11,converse(A)),X_19)) != composition(converse(X_19),converse(join(X_11,converse(A))))
| converse(composition(join(X_11,converse(A)),X_19)) = composition(converse(X_19),join(converse(X_11),A)) ),
inference(resolve,[$cnf( $equal(converse(join(X_11,converse(A))),join(converse(X_11),A)) )],[refute_0_1350,refute_0_8520]) ).
cnf(refute_0_8522,plain,
converse(composition(join(X_11,converse(A)),X_19)) = composition(converse(X_19),join(converse(X_11),A)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_11,converse(A)),X_19)),composition(converse(X_19),converse(join(X_11,converse(A))))) )],[refute_0_8519,refute_0_8521]) ).
cnf(refute_0_8523,plain,
converse(composition(join(X_198,converse(one)),X_199)) = composition(converse(X_199),join(converse(X_198),one)),
inference(subst,[],[refute_0_8522:[bind(A,$fot(one)),bind(X_11,$fot(X_198)),bind(X_19,$fot(X_199))]]) ).
cnf(refute_0_8524,plain,
( converse(composition(join(X_198,converse(one)),X_199)) != composition(converse(X_199),join(converse(X_198),one))
| converse(one) != one
| converse(composition(join(X_198,one),X_199)) = composition(converse(X_199),join(converse(X_198),one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_198,converse(one)),X_199)),composition(converse(X_199),join(converse(X_198),one))) ),[0,0,0,1],$fot(one)]]) ).
cnf(refute_0_8525,plain,
( converse(composition(join(X_198,converse(one)),X_199)) != composition(converse(X_199),join(converse(X_198),one))
| converse(composition(join(X_198,one),X_199)) = composition(converse(X_199),join(converse(X_198),one)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_8524]) ).
cnf(refute_0_8526,plain,
converse(composition(join(X_198,one),X_199)) = composition(converse(X_199),join(converse(X_198),one)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_198,converse(one)),X_199)),composition(converse(X_199),join(converse(X_198),one))) )],[refute_0_8523,refute_0_8525]) ).
cnf(refute_0_8527,plain,
join(converse(one),X_198) = join(converse(one),X_198),
introduced(tautology,[refl,[$fot(join(converse(one),X_198))]]) ).
cnf(refute_0_8528,plain,
( converse(one) != one
| join(converse(one),X_198) != join(converse(one),X_198)
| join(converse(one),X_198) = join(one,X_198) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_198),join(converse(one),X_198)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_8529,plain,
( converse(one) != one
| join(converse(one),X_198) = join(one,X_198) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_198),join(converse(one),X_198)) )],[refute_0_8527,refute_0_8528]) ).
cnf(refute_0_8530,plain,
join(converse(one),X_198) = join(one,X_198),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_8529]) ).
cnf(refute_0_8531,plain,
composition(join(converse(one),X_198),X_199) = composition(join(converse(one),X_198),X_199),
introduced(tautology,[refl,[$fot(composition(join(converse(one),X_198),X_199))]]) ).
cnf(refute_0_8532,plain,
( composition(join(converse(one),X_198),X_199) != composition(join(converse(one),X_198),X_199)
| join(converse(one),X_198) != join(one,X_198)
| composition(join(converse(one),X_198),X_199) = composition(join(one,X_198),X_199) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),X_198),X_199),composition(join(converse(one),X_198),X_199)) ),[1,0],$fot(join(one,X_198))]]) ).
cnf(refute_0_8533,plain,
( join(converse(one),X_198) != join(one,X_198)
| composition(join(converse(one),X_198),X_199) = composition(join(one,X_198),X_199) ),
inference(resolve,[$cnf( $equal(composition(join(converse(one),X_198),X_199),composition(join(converse(one),X_198),X_199)) )],[refute_0_8531,refute_0_8532]) ).
cnf(refute_0_8534,plain,
composition(join(converse(one),X_198),X_199) = composition(join(one,X_198),X_199),
inference(resolve,[$cnf( $equal(join(converse(one),X_198),join(one,X_198)) )],[refute_0_8530,refute_0_8533]) ).
cnf(refute_0_8535,plain,
converse(composition(join(converse(one),X_198),X_199)) = converse(composition(join(converse(one),X_198),X_199)),
introduced(tautology,[refl,[$fot(converse(composition(join(converse(one),X_198),X_199)))]]) ).
cnf(refute_0_8536,plain,
( composition(join(converse(one),X_198),X_199) != composition(join(one,X_198),X_199)
| converse(composition(join(converse(one),X_198),X_199)) != converse(composition(join(converse(one),X_198),X_199))
| converse(composition(join(converse(one),X_198),X_199)) = converse(composition(join(one,X_198),X_199)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(one),X_198),X_199)),converse(composition(join(converse(one),X_198),X_199))) ),[1,0],$fot(composition(join(one,X_198),X_199))]]) ).
cnf(refute_0_8537,plain,
( composition(join(converse(one),X_198),X_199) != composition(join(one,X_198),X_199)
| converse(composition(join(converse(one),X_198),X_199)) = converse(composition(join(one,X_198),X_199)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(one),X_198),X_199)),converse(composition(join(converse(one),X_198),X_199))) )],[refute_0_8535,refute_0_8536]) ).
cnf(refute_0_8538,plain,
converse(composition(join(converse(one),X_198),X_199)) = converse(composition(join(one,X_198),X_199)),
inference(resolve,[$cnf( $equal(composition(join(converse(one),X_198),X_199),composition(join(one,X_198),X_199)) )],[refute_0_8534,refute_0_8537]) ).
cnf(refute_0_8539,plain,
converse(composition(join(converse(A),X_12),X_19)) = composition(converse(X_19),converse(join(converse(A),X_12))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(join(converse(A),X_12))),bind(B,$fot(X_19))]]) ).
cnf(refute_0_8540,plain,
( converse(composition(join(converse(A),X_12),X_19)) != composition(converse(X_19),converse(join(converse(A),X_12)))
| converse(join(converse(A),X_12)) != join(A,converse(X_12))
| converse(composition(join(converse(A),X_12),X_19)) = composition(converse(X_19),join(A,converse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(A),X_12),X_19)),composition(converse(X_19),converse(join(converse(A),X_12)))) ),[1,1],$fot(join(A,converse(X_12)))]]) ).
cnf(refute_0_8541,plain,
( converse(composition(join(converse(A),X_12),X_19)) != composition(converse(X_19),converse(join(converse(A),X_12)))
| converse(composition(join(converse(A),X_12),X_19)) = composition(converse(X_19),join(A,converse(X_12))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),X_12)),join(A,converse(X_12))) )],[refute_0_705,refute_0_8540]) ).
cnf(refute_0_8542,plain,
converse(composition(join(converse(A),X_12),X_19)) = composition(converse(X_19),join(A,converse(X_12))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(A),X_12),X_19)),composition(converse(X_19),converse(join(converse(A),X_12)))) )],[refute_0_8539,refute_0_8541]) ).
cnf(refute_0_8543,plain,
( converse(composition(join(converse(A),X_12),X_19)) != composition(converse(X_19),join(A,converse(X_12)))
| composition(converse(X_19),join(A,converse(X_12))) = converse(composition(join(converse(A),X_12),X_19)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(join(converse(A),X_12),X_19)))),bind(Y,$fot(composition(converse(X_19),join(A,converse(X_12)))))]]) ).
cnf(refute_0_8544,plain,
composition(converse(X_19),join(A,converse(X_12))) = converse(composition(join(converse(A),X_12),X_19)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(A),X_12),X_19)),composition(converse(X_19),join(A,converse(X_12)))) )],[refute_0_8542,refute_0_8543]) ).
cnf(refute_0_8545,plain,
composition(converse(X_199),join(one,converse(X_198))) = converse(composition(join(converse(one),X_198),X_199)),
inference(subst,[],[refute_0_8544:[bind(A,$fot(one)),bind(X_12,$fot(X_198)),bind(X_19,$fot(X_199))]]) ).
cnf(refute_0_8546,plain,
converse(composition(join(converse(X_194),one),X_196)) = composition(converse(X_196),join(X_194,converse(one))),
inference(subst,[],[refute_0_8542:[bind(A,$fot(X_194)),bind(X_12,$fot(one)),bind(X_19,$fot(X_196))]]) ).
cnf(refute_0_8547,plain,
( converse(composition(join(converse(X_194),one),X_196)) != composition(converse(X_196),join(X_194,converse(one)))
| converse(one) != one
| converse(composition(join(converse(X_194),one),X_196)) = composition(converse(X_196),join(X_194,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X_194),one),X_196)),composition(converse(X_196),join(X_194,converse(one)))) ),[1,1,1],$fot(one)]]) ).
cnf(refute_0_8548,plain,
( converse(composition(join(converse(X_194),one),X_196)) != composition(converse(X_196),join(X_194,converse(one)))
| converse(composition(join(converse(X_194),one),X_196)) = composition(converse(X_196),join(X_194,one)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_8547]) ).
cnf(refute_0_8549,plain,
converse(composition(join(converse(X_194),one),X_196)) = composition(converse(X_196),join(X_194,one)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_194),one),X_196)),composition(converse(X_196),join(X_194,converse(one)))) )],[refute_0_8546,refute_0_8548]) ).
cnf(refute_0_8550,plain,
converse(composition(converse(join(one,X_194)),X_196)) = composition(converse(X_196),join(one,X_194)),
inference(subst,[],[refute_0_58:[bind(A,$fot(join(one,X_194))),bind(X_19,$fot(X_196))]]) ).
cnf(refute_0_8551,plain,
join(one,converse(X_194)) = converse(join(one,X_194)),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(X_194))]]) ).
cnf(refute_0_8552,plain,
composition(join(one,converse(X_194)),X_196) = composition(join(one,converse(X_194)),X_196),
introduced(tautology,[refl,[$fot(composition(join(one,converse(X_194)),X_196))]]) ).
cnf(refute_0_8553,plain,
( composition(join(one,converse(X_194)),X_196) != composition(join(one,converse(X_194)),X_196)
| join(one,converse(X_194)) != converse(join(one,X_194))
| composition(join(one,converse(X_194)),X_196) = composition(converse(join(one,X_194)),X_196) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(X_194)),X_196),composition(join(one,converse(X_194)),X_196)) ),[1,0],$fot(converse(join(one,X_194)))]]) ).
cnf(refute_0_8554,plain,
( join(one,converse(X_194)) != converse(join(one,X_194))
| composition(join(one,converse(X_194)),X_196) = composition(converse(join(one,X_194)),X_196) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X_194)),X_196),composition(join(one,converse(X_194)),X_196)) )],[refute_0_8552,refute_0_8553]) ).
cnf(refute_0_8555,plain,
composition(join(one,converse(X_194)),X_196) = composition(converse(join(one,X_194)),X_196),
inference(resolve,[$cnf( $equal(join(one,converse(X_194)),converse(join(one,X_194))) )],[refute_0_8551,refute_0_8554]) ).
cnf(refute_0_8556,plain,
converse(composition(join(one,converse(X_194)),X_196)) = converse(composition(join(one,converse(X_194)),X_196)),
introduced(tautology,[refl,[$fot(converse(composition(join(one,converse(X_194)),X_196)))]]) ).
cnf(refute_0_8557,plain,
( composition(join(one,converse(X_194)),X_196) != composition(converse(join(one,X_194)),X_196)
| converse(composition(join(one,converse(X_194)),X_196)) != converse(composition(join(one,converse(X_194)),X_196))
| converse(composition(join(one,converse(X_194)),X_196)) = converse(composition(converse(join(one,X_194)),X_196)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,converse(X_194)),X_196)),converse(composition(join(one,converse(X_194)),X_196))) ),[1,0],$fot(composition(converse(join(one,X_194)),X_196))]]) ).
cnf(refute_0_8558,plain,
( composition(join(one,converse(X_194)),X_196) != composition(converse(join(one,X_194)),X_196)
| converse(composition(join(one,converse(X_194)),X_196)) = converse(composition(converse(join(one,X_194)),X_196)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,converse(X_194)),X_196)),converse(composition(join(one,converse(X_194)),X_196))) )],[refute_0_8556,refute_0_8557]) ).
cnf(refute_0_8559,plain,
converse(composition(join(one,converse(X_194)),X_196)) = converse(composition(converse(join(one,X_194)),X_196)),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X_194)),X_196),composition(converse(join(one,X_194)),X_196)) )],[refute_0_8555,refute_0_8558]) ).
cnf(refute_0_8560,plain,
( converse(composition(converse(join(one,X_194)),X_196)) != composition(converse(X_196),join(one,X_194))
| converse(composition(join(one,converse(X_194)),X_196)) != converse(composition(converse(join(one,X_194)),X_196))
| converse(composition(join(one,converse(X_194)),X_196)) = composition(converse(X_196),join(one,X_194)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(composition(join(one,converse(X_194)),X_196)))),bind(Y,$fot(converse(composition(converse(join(one,X_194)),X_196)))),bind(Z,$fot(composition(converse(X_196),join(one,X_194))))]]) ).
cnf(refute_0_8561,plain,
( converse(composition(converse(join(one,X_194)),X_196)) != composition(converse(X_196),join(one,X_194))
| converse(composition(join(one,converse(X_194)),X_196)) = composition(converse(X_196),join(one,X_194)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,converse(X_194)),X_196)),converse(composition(converse(join(one,X_194)),X_196))) )],[refute_0_8559,refute_0_8560]) ).
cnf(refute_0_8562,plain,
converse(composition(join(one,converse(X_194)),X_196)) = composition(converse(X_196),join(one,X_194)),
inference(resolve,[$cnf( $equal(converse(composition(converse(join(one,X_194)),X_196)),composition(converse(X_196),join(one,X_194))) )],[refute_0_8550,refute_0_8561]) ).
cnf(refute_0_8563,plain,
converse(composition(join(converse(X_194),X_195),X_196)) = composition(converse(X_196),join(X_194,converse(X_195))),
inference(subst,[],[refute_0_8542:[bind(A,$fot(X_194)),bind(X_12,$fot(X_195)),bind(X_19,$fot(X_196))]]) ).
cnf(refute_0_8564,plain,
join(X_195,converse(X_194)) = join(converse(X_194),X_195),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_195)),bind(B,$fot(converse(X_194)))]]) ).
cnf(refute_0_8565,plain,
( join(X_195,converse(X_194)) != join(converse(X_194),X_195)
| join(converse(X_194),X_195) = join(X_195,converse(X_194)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_195,converse(X_194)))),bind(Y,$fot(join(converse(X_194),X_195)))]]) ).
cnf(refute_0_8566,plain,
join(converse(X_194),X_195) = join(X_195,converse(X_194)),
inference(resolve,[$cnf( $equal(join(X_195,converse(X_194)),join(converse(X_194),X_195)) )],[refute_0_8564,refute_0_8565]) ).
cnf(refute_0_8567,plain,
( converse(composition(join(converse(X_194),X_195),X_196)) != composition(converse(X_196),join(X_194,converse(X_195)))
| join(converse(X_194),X_195) != join(X_195,converse(X_194))
| converse(composition(join(X_195,converse(X_194)),X_196)) = composition(converse(X_196),join(X_194,converse(X_195))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X_194),X_195),X_196)),composition(converse(X_196),join(X_194,converse(X_195)))) ),[0,0,0],$fot(join(X_195,converse(X_194)))]]) ).
cnf(refute_0_8568,plain,
( converse(composition(join(converse(X_194),X_195),X_196)) != composition(converse(X_196),join(X_194,converse(X_195)))
| converse(composition(join(X_195,converse(X_194)),X_196)) = composition(converse(X_196),join(X_194,converse(X_195))) ),
inference(resolve,[$cnf( $equal(join(converse(X_194),X_195),join(X_195,converse(X_194))) )],[refute_0_8566,refute_0_8567]) ).
cnf(refute_0_8569,plain,
converse(composition(join(X_195,converse(X_194)),X_196)) = composition(converse(X_196),join(X_194,converse(X_195))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_194),X_195),X_196)),composition(converse(X_196),join(X_194,converse(X_195)))) )],[refute_0_8563,refute_0_8568]) ).
cnf(refute_0_8570,plain,
composition(converse(X_196),join(X_194,converse(X_195))) = converse(composition(join(converse(X_194),X_195),X_196)),
inference(subst,[],[refute_0_8544:[bind(A,$fot(X_194)),bind(X_12,$fot(X_195)),bind(X_19,$fot(X_196))]]) ).
cnf(refute_0_8571,plain,
( composition(converse(X_196),join(X_194,converse(X_195))) != converse(composition(join(converse(X_194),X_195),X_196))
| converse(composition(join(X_195,converse(X_194)),X_196)) != composition(converse(X_196),join(X_194,converse(X_195)))
| converse(composition(join(X_195,converse(X_194)),X_196)) = converse(composition(join(converse(X_194),X_195),X_196)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_195,converse(X_194)),X_196)),composition(converse(X_196),join(X_194,converse(X_195)))) ),[1],$fot(converse(composition(join(converse(X_194),X_195),X_196)))]]) ).
cnf(refute_0_8572,plain,
( converse(composition(join(X_195,converse(X_194)),X_196)) != composition(converse(X_196),join(X_194,converse(X_195)))
| converse(composition(join(X_195,converse(X_194)),X_196)) = converse(composition(join(converse(X_194),X_195),X_196)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_196),join(X_194,converse(X_195))),converse(composition(join(converse(X_194),X_195),X_196))) )],[refute_0_8570,refute_0_8571]) ).
cnf(refute_0_8573,plain,
converse(composition(join(X_195,converse(X_194)),X_196)) = converse(composition(join(converse(X_194),X_195),X_196)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_195,converse(X_194)),X_196)),composition(converse(X_196),join(X_194,converse(X_195)))) )],[refute_0_8569,refute_0_8572]) ).
cnf(refute_0_8574,plain,
( converse(composition(join(X_195,converse(X_194)),X_196)) != converse(composition(join(converse(X_194),X_195),X_196))
| converse(composition(join(converse(X_194),X_195),X_196)) = converse(composition(join(X_195,converse(X_194)),X_196)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(join(X_195,converse(X_194)),X_196)))),bind(Y,$fot(converse(composition(join(converse(X_194),X_195),X_196))))]]) ).
cnf(refute_0_8575,plain,
converse(composition(join(converse(X_194),X_195),X_196)) = converse(composition(join(X_195,converse(X_194)),X_196)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_195,converse(X_194)),X_196)),converse(composition(join(converse(X_194),X_195),X_196))) )],[refute_0_8573,refute_0_8574]) ).
cnf(refute_0_8576,plain,
converse(composition(join(converse(X_194),one),X_196)) = converse(composition(join(one,converse(X_194)),X_196)),
inference(subst,[],[refute_0_8575:[bind(X_195,$fot(one))]]) ).
cnf(refute_0_8577,plain,
( converse(composition(join(converse(X_194),one),X_196)) != converse(composition(join(one,converse(X_194)),X_196))
| converse(composition(join(one,converse(X_194)),X_196)) != composition(converse(X_196),join(one,X_194))
| converse(composition(join(converse(X_194),one),X_196)) = composition(converse(X_196),join(one,X_194)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(composition(join(converse(X_194),one),X_196)))),bind(Y,$fot(converse(composition(join(one,converse(X_194)),X_196)))),bind(Z,$fot(composition(converse(X_196),join(one,X_194))))]]) ).
cnf(refute_0_8578,plain,
( converse(composition(join(one,converse(X_194)),X_196)) != composition(converse(X_196),join(one,X_194))
| converse(composition(join(converse(X_194),one),X_196)) = composition(converse(X_196),join(one,X_194)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_194),one),X_196)),converse(composition(join(one,converse(X_194)),X_196))) )],[refute_0_8576,refute_0_8577]) ).
cnf(refute_0_8579,plain,
converse(composition(join(converse(X_194),one),X_196)) = composition(converse(X_196),join(one,X_194)),
inference(resolve,[$cnf( $equal(converse(composition(join(one,converse(X_194)),X_196)),composition(converse(X_196),join(one,X_194))) )],[refute_0_8562,refute_0_8578]) ).
cnf(refute_0_8580,plain,
( converse(composition(join(converse(X_194),one),X_196)) != composition(converse(X_196),join(X_194,one))
| converse(composition(join(converse(X_194),one),X_196)) != composition(converse(X_196),join(one,X_194))
| composition(converse(X_196),join(one,X_194)) = composition(converse(X_196),join(X_194,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X_194),one),X_196)),composition(converse(X_196),join(X_194,one))) ),[0],$fot(composition(converse(X_196),join(one,X_194)))]]) ).
cnf(refute_0_8581,plain,
( converse(composition(join(converse(X_194),one),X_196)) != composition(converse(X_196),join(X_194,one))
| composition(converse(X_196),join(one,X_194)) = composition(converse(X_196),join(X_194,one)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_194),one),X_196)),composition(converse(X_196),join(one,X_194))) )],[refute_0_8579,refute_0_8580]) ).
cnf(refute_0_8582,plain,
composition(converse(X_196),join(one,X_194)) = composition(converse(X_196),join(X_194,one)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_194),one),X_196)),composition(converse(X_196),join(X_194,one))) )],[refute_0_8549,refute_0_8581]) ).
cnf(refute_0_8583,plain,
( composition(converse(X_196),join(one,X_194)) != composition(converse(X_196),join(X_194,one))
| composition(converse(X_196),join(X_194,one)) = composition(converse(X_196),join(one,X_194)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(converse(X_196),join(one,X_194)))),bind(Y,$fot(composition(converse(X_196),join(X_194,one))))]]) ).
cnf(refute_0_8584,plain,
composition(converse(X_196),join(X_194,one)) = composition(converse(X_196),join(one,X_194)),
inference(resolve,[$cnf( $equal(composition(converse(X_196),join(one,X_194)),composition(converse(X_196),join(X_194,one))) )],[refute_0_8582,refute_0_8583]) ).
cnf(refute_0_8585,plain,
composition(converse(X_199),join(converse(X_198),one)) = composition(converse(X_199),join(one,converse(X_198))),
inference(subst,[],[refute_0_8584:[bind(X_194,$fot(converse(X_198))),bind(X_196,$fot(X_199))]]) ).
cnf(refute_0_8586,plain,
( composition(converse(X_199),join(converse(X_198),one)) != composition(converse(X_199),join(one,converse(X_198)))
| composition(converse(X_199),join(one,converse(X_198))) != converse(composition(join(converse(one),X_198),X_199))
| composition(converse(X_199),join(converse(X_198),one)) = converse(composition(join(converse(one),X_198),X_199)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(converse(X_199),join(converse(X_198),one)))),bind(Y,$fot(composition(converse(X_199),join(one,converse(X_198))))),bind(Z,$fot(converse(composition(join(converse(one),X_198),X_199))))]]) ).
cnf(refute_0_8587,plain,
( composition(converse(X_199),join(one,converse(X_198))) != converse(composition(join(converse(one),X_198),X_199))
| composition(converse(X_199),join(converse(X_198),one)) = converse(composition(join(converse(one),X_198),X_199)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_199),join(converse(X_198),one)),composition(converse(X_199),join(one,converse(X_198)))) )],[refute_0_8585,refute_0_8586]) ).
cnf(refute_0_8588,plain,
composition(converse(X_199),join(converse(X_198),one)) = converse(composition(join(converse(one),X_198),X_199)),
inference(resolve,[$cnf( $equal(composition(converse(X_199),join(one,converse(X_198))),converse(composition(join(converse(one),X_198),X_199))) )],[refute_0_8545,refute_0_8587]) ).
cnf(refute_0_8589,plain,
( composition(converse(X_199),join(converse(X_198),one)) != converse(composition(join(converse(one),X_198),X_199))
| converse(composition(join(converse(one),X_198),X_199)) != converse(composition(join(one,X_198),X_199))
| composition(converse(X_199),join(converse(X_198),one)) = converse(composition(join(one,X_198),X_199)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(converse(X_199),join(converse(X_198),one)))),bind(Y,$fot(converse(composition(join(converse(one),X_198),X_199)))),bind(Z,$fot(converse(composition(join(one,X_198),X_199))))]]) ).
cnf(refute_0_8590,plain,
( converse(composition(join(converse(one),X_198),X_199)) != converse(composition(join(one,X_198),X_199))
| composition(converse(X_199),join(converse(X_198),one)) = converse(composition(join(one,X_198),X_199)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_199),join(converse(X_198),one)),converse(composition(join(converse(one),X_198),X_199))) )],[refute_0_8588,refute_0_8589]) ).
cnf(refute_0_8591,plain,
composition(converse(X_199),join(converse(X_198),one)) = converse(composition(join(one,X_198),X_199)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(one),X_198),X_199)),converse(composition(join(one,X_198),X_199))) )],[refute_0_8538,refute_0_8590]) ).
cnf(refute_0_8592,plain,
( composition(converse(X_199),join(converse(X_198),one)) != converse(composition(join(one,X_198),X_199))
| converse(composition(join(X_198,one),X_199)) != composition(converse(X_199),join(converse(X_198),one))
| converse(composition(join(X_198,one),X_199)) = converse(composition(join(one,X_198),X_199)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_198,one),X_199)),composition(converse(X_199),join(converse(X_198),one))) ),[1],$fot(converse(composition(join(one,X_198),X_199)))]]) ).
cnf(refute_0_8593,plain,
( converse(composition(join(X_198,one),X_199)) != composition(converse(X_199),join(converse(X_198),one))
| converse(composition(join(X_198,one),X_199)) = converse(composition(join(one,X_198),X_199)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_199),join(converse(X_198),one)),converse(composition(join(one,X_198),X_199))) )],[refute_0_8591,refute_0_8592]) ).
cnf(refute_0_8594,plain,
converse(composition(join(X_198,one),X_199)) = converse(composition(join(one,X_198),X_199)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_198,one),X_199)),composition(converse(X_199),join(converse(X_198),one))) )],[refute_0_8526,refute_0_8593]) ).
cnf(refute_0_8595,plain,
( converse(composition(join(X_198,one),X_199)) != converse(composition(join(one,X_198),X_199))
| converse(composition(join(one,X_198),X_199)) = converse(composition(join(X_198,one),X_199)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(join(X_198,one),X_199)))),bind(Y,$fot(converse(composition(join(one,X_198),X_199))))]]) ).
cnf(refute_0_8596,plain,
converse(composition(join(one,X_198),X_199)) = converse(composition(join(X_198,one),X_199)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_198,one),X_199)),converse(composition(join(one,X_198),X_199))) )],[refute_0_8594,refute_0_8595]) ).
cnf(refute_0_8597,plain,
( complement(converse(complement(converse(composition(join(one,X_198),X_199))))) != meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199))))))
| converse(composition(join(one,X_198),X_199)) != converse(composition(join(X_198,one),X_199))
| complement(converse(complement(converse(composition(join(X_198,one),X_199))))) = meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(composition(join(one,X_198),X_199))))),meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199))))))) ),[0,0,0,0],$fot(converse(composition(join(X_198,one),X_199)))]]) ).
cnf(refute_0_8598,plain,
( complement(converse(complement(converse(composition(join(one,X_198),X_199))))) != meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199))))))
| complement(converse(complement(converse(composition(join(X_198,one),X_199))))) = meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,X_198),X_199)),converse(composition(join(X_198,one),X_199))) )],[refute_0_8596,refute_0_8597]) ).
cnf(refute_0_8599,plain,
complement(converse(complement(converse(composition(join(X_198,one),X_199))))) = meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(join(one,X_198),X_199))))),meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199))))))) )],[refute_0_8518,refute_0_8598]) ).
cnf(refute_0_8600,plain,
( complement(converse(complement(converse(X_116)))) != meet(X_116,complement(converse(complement(converse(X_116)))))
| meet(X_116,complement(converse(complement(converse(X_116))))) = complement(converse(complement(converse(X_116)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(complement(converse(X_116)))))),bind(Y,$fot(meet(X_116,complement(converse(complement(converse(X_116)))))))]]) ).
cnf(refute_0_8601,plain,
meet(X_116,complement(converse(complement(converse(X_116))))) = complement(converse(complement(converse(X_116)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(X_116)))),meet(X_116,complement(converse(complement(converse(X_116)))))) )],[refute_0_8517,refute_0_8600]) ).
cnf(refute_0_8602,plain,
meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))) = complement(converse(complement(converse(composition(join(one,X_198),X_199))))),
inference(subst,[],[refute_0_8601:[bind(X_116,$fot(composition(join(one,X_198),X_199)))]]) ).
cnf(refute_0_8603,plain,
( complement(converse(complement(converse(composition(join(X_198,one),X_199))))) != meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199))))))
| meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))) != complement(converse(complement(converse(composition(join(one,X_198),X_199)))))
| complement(converse(complement(converse(composition(join(X_198,one),X_199))))) = complement(converse(complement(converse(composition(join(one,X_198),X_199))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(converse(composition(join(X_198,one),X_199))))),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))) ),[0],$fot(meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))))]]) ).
cnf(refute_0_8604,plain,
( complement(converse(complement(converse(composition(join(X_198,one),X_199))))) != meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199))))))
| complement(converse(complement(converse(composition(join(X_198,one),X_199))))) = complement(converse(complement(converse(composition(join(one,X_198),X_199))))) ),
inference(resolve,[$cnf( $equal(meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))) )],[refute_0_8602,refute_0_8603]) ).
cnf(refute_0_8605,plain,
complement(converse(complement(converse(composition(join(X_198,one),X_199))))) = complement(converse(complement(converse(composition(join(one,X_198),X_199))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(join(X_198,one),X_199))))),meet(composition(join(one,X_198),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199))))))) )],[refute_0_8599,refute_0_8604]) ).
cnf(refute_0_8606,plain,
complement(complement(composition(join(X_198,one),X_199))) = composition(join(X_198,one),X_199),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(composition(join(X_198,one),X_199)))]]) ).
cnf(refute_0_8607,plain,
converse(converse(composition(join(X_198,one),X_199))) = composition(join(X_198,one),X_199),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(join(X_198,one),X_199)))]]) ).
cnf(refute_0_8608,plain,
complement(converse(converse(composition(join(X_198,one),X_199)))) = complement(converse(converse(composition(join(X_198,one),X_199)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(join(X_198,one),X_199)))))]]) ).
cnf(refute_0_8609,plain,
( complement(converse(converse(composition(join(X_198,one),X_199)))) != complement(converse(converse(composition(join(X_198,one),X_199))))
| converse(converse(composition(join(X_198,one),X_199))) != composition(join(X_198,one),X_199)
| complement(converse(converse(composition(join(X_198,one),X_199)))) = complement(composition(join(X_198,one),X_199)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(join(X_198,one),X_199)))),complement(converse(converse(composition(join(X_198,one),X_199))))) ),[1,0],$fot(composition(join(X_198,one),X_199))]]) ).
cnf(refute_0_8610,plain,
( converse(converse(composition(join(X_198,one),X_199))) != composition(join(X_198,one),X_199)
| complement(converse(converse(composition(join(X_198,one),X_199)))) = complement(composition(join(X_198,one),X_199)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(join(X_198,one),X_199)))),complement(converse(converse(composition(join(X_198,one),X_199))))) )],[refute_0_8608,refute_0_8609]) ).
cnf(refute_0_8611,plain,
complement(converse(converse(composition(join(X_198,one),X_199)))) = complement(composition(join(X_198,one),X_199)),
inference(resolve,[$cnf( $equal(converse(converse(composition(join(X_198,one),X_199))),composition(join(X_198,one),X_199)) )],[refute_0_8607,refute_0_8610]) ).
cnf(refute_0_8612,plain,
converse(complement(converse(composition(join(X_198,one),X_199)))) = complement(converse(converse(composition(join(X_198,one),X_199)))),
inference(subst,[],[refute_0_4748:[bind(X_544,$fot(converse(composition(join(X_198,one),X_199))))]]) ).
cnf(refute_0_8613,plain,
( complement(converse(converse(composition(join(X_198,one),X_199)))) != complement(composition(join(X_198,one),X_199))
| converse(complement(converse(composition(join(X_198,one),X_199)))) != complement(converse(converse(composition(join(X_198,one),X_199))))
| converse(complement(converse(composition(join(X_198,one),X_199)))) = complement(composition(join(X_198,one),X_199)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(complement(converse(composition(join(X_198,one),X_199)))))),bind(Y,$fot(complement(converse(converse(composition(join(X_198,one),X_199)))))),bind(Z,$fot(complement(composition(join(X_198,one),X_199))))]]) ).
cnf(refute_0_8614,plain,
( complement(converse(converse(composition(join(X_198,one),X_199)))) != complement(composition(join(X_198,one),X_199))
| converse(complement(converse(composition(join(X_198,one),X_199)))) = complement(composition(join(X_198,one),X_199)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(join(X_198,one),X_199)))),complement(converse(converse(composition(join(X_198,one),X_199))))) )],[refute_0_8612,refute_0_8613]) ).
cnf(refute_0_8615,plain,
converse(complement(converse(composition(join(X_198,one),X_199)))) = complement(composition(join(X_198,one),X_199)),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(join(X_198,one),X_199)))),complement(composition(join(X_198,one),X_199))) )],[refute_0_8611,refute_0_8614]) ).
cnf(refute_0_8616,plain,
complement(converse(complement(converse(composition(join(X_198,one),X_199))))) = complement(converse(complement(converse(composition(join(X_198,one),X_199))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(composition(join(X_198,one),X_199))))))]]) ).
cnf(refute_0_8617,plain,
( complement(converse(complement(converse(composition(join(X_198,one),X_199))))) != complement(converse(complement(converse(composition(join(X_198,one),X_199)))))
| converse(complement(converse(composition(join(X_198,one),X_199)))) != complement(composition(join(X_198,one),X_199))
| complement(converse(complement(converse(composition(join(X_198,one),X_199))))) = complement(complement(composition(join(X_198,one),X_199))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(composition(join(X_198,one),X_199))))),complement(converse(complement(converse(composition(join(X_198,one),X_199)))))) ),[1,0],$fot(complement(composition(join(X_198,one),X_199)))]]) ).
cnf(refute_0_8618,plain,
( converse(complement(converse(composition(join(X_198,one),X_199)))) != complement(composition(join(X_198,one),X_199))
| complement(converse(complement(converse(composition(join(X_198,one),X_199))))) = complement(complement(composition(join(X_198,one),X_199))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(join(X_198,one),X_199))))),complement(converse(complement(converse(composition(join(X_198,one),X_199)))))) )],[refute_0_8616,refute_0_8617]) ).
cnf(refute_0_8619,plain,
complement(converse(complement(converse(composition(join(X_198,one),X_199))))) = complement(complement(composition(join(X_198,one),X_199))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(join(X_198,one),X_199)))),complement(composition(join(X_198,one),X_199))) )],[refute_0_8615,refute_0_8618]) ).
cnf(refute_0_8620,plain,
( complement(complement(composition(join(X_198,one),X_199))) != composition(join(X_198,one),X_199)
| complement(converse(complement(converse(composition(join(X_198,one),X_199))))) != complement(complement(composition(join(X_198,one),X_199)))
| complement(converse(complement(converse(composition(join(X_198,one),X_199))))) = composition(join(X_198,one),X_199) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(complement(converse(composition(join(X_198,one),X_199))))))),bind(Y,$fot(complement(complement(composition(join(X_198,one),X_199))))),bind(Z,$fot(composition(join(X_198,one),X_199)))]]) ).
cnf(refute_0_8621,plain,
( complement(complement(composition(join(X_198,one),X_199))) != composition(join(X_198,one),X_199)
| complement(converse(complement(converse(composition(join(X_198,one),X_199))))) = composition(join(X_198,one),X_199) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(join(X_198,one),X_199))))),complement(complement(composition(join(X_198,one),X_199)))) )],[refute_0_8619,refute_0_8620]) ).
cnf(refute_0_8622,plain,
complement(converse(complement(converse(composition(join(X_198,one),X_199))))) = composition(join(X_198,one),X_199),
inference(resolve,[$cnf( $equal(complement(complement(composition(join(X_198,one),X_199))),composition(join(X_198,one),X_199)) )],[refute_0_8606,refute_0_8621]) ).
cnf(refute_0_8623,plain,
( complement(converse(complement(converse(composition(join(X_198,one),X_199))))) != complement(converse(complement(converse(composition(join(one,X_198),X_199)))))
| complement(converse(complement(converse(composition(join(X_198,one),X_199))))) != composition(join(X_198,one),X_199)
| composition(join(X_198,one),X_199) = complement(converse(complement(converse(composition(join(one,X_198),X_199))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(composition(join(X_198,one),X_199))))),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))) ),[0],$fot(composition(join(X_198,one),X_199))]]) ).
cnf(refute_0_8624,plain,
( complement(converse(complement(converse(composition(join(X_198,one),X_199))))) != complement(converse(complement(converse(composition(join(one,X_198),X_199)))))
| composition(join(X_198,one),X_199) = complement(converse(complement(converse(composition(join(one,X_198),X_199))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(join(X_198,one),X_199))))),composition(join(X_198,one),X_199)) )],[refute_0_8622,refute_0_8623]) ).
cnf(refute_0_8625,plain,
complement(complement(composition(join(one,X_198),X_199))) = composition(join(one,X_198),X_199),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(composition(join(one,X_198),X_199)))]]) ).
cnf(refute_0_8626,plain,
converse(converse(composition(join(one,X_198),X_199))) = composition(join(one,X_198),X_199),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(join(one,X_198),X_199)))]]) ).
cnf(refute_0_8627,plain,
complement(converse(converse(composition(join(one,X_198),X_199)))) = complement(converse(converse(composition(join(one,X_198),X_199)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(join(one,X_198),X_199)))))]]) ).
cnf(refute_0_8628,plain,
( complement(converse(converse(composition(join(one,X_198),X_199)))) != complement(converse(converse(composition(join(one,X_198),X_199))))
| converse(converse(composition(join(one,X_198),X_199))) != composition(join(one,X_198),X_199)
| complement(converse(converse(composition(join(one,X_198),X_199)))) = complement(composition(join(one,X_198),X_199)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(join(one,X_198),X_199)))),complement(converse(converse(composition(join(one,X_198),X_199))))) ),[1,0],$fot(composition(join(one,X_198),X_199))]]) ).
cnf(refute_0_8629,plain,
( converse(converse(composition(join(one,X_198),X_199))) != composition(join(one,X_198),X_199)
| complement(converse(converse(composition(join(one,X_198),X_199)))) = complement(composition(join(one,X_198),X_199)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(join(one,X_198),X_199)))),complement(converse(converse(composition(join(one,X_198),X_199))))) )],[refute_0_8627,refute_0_8628]) ).
cnf(refute_0_8630,plain,
complement(converse(converse(composition(join(one,X_198),X_199)))) = complement(composition(join(one,X_198),X_199)),
inference(resolve,[$cnf( $equal(converse(converse(composition(join(one,X_198),X_199))),composition(join(one,X_198),X_199)) )],[refute_0_8626,refute_0_8629]) ).
cnf(refute_0_8631,plain,
converse(complement(converse(composition(join(one,X_198),X_199)))) = complement(converse(converse(composition(join(one,X_198),X_199)))),
inference(subst,[],[refute_0_4748:[bind(X_544,$fot(converse(composition(join(one,X_198),X_199))))]]) ).
cnf(refute_0_8632,plain,
( complement(converse(converse(composition(join(one,X_198),X_199)))) != complement(composition(join(one,X_198),X_199))
| converse(complement(converse(composition(join(one,X_198),X_199)))) != complement(converse(converse(composition(join(one,X_198),X_199))))
| converse(complement(converse(composition(join(one,X_198),X_199)))) = complement(composition(join(one,X_198),X_199)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(complement(converse(composition(join(one,X_198),X_199)))))),bind(Y,$fot(complement(converse(converse(composition(join(one,X_198),X_199)))))),bind(Z,$fot(complement(composition(join(one,X_198),X_199))))]]) ).
cnf(refute_0_8633,plain,
( complement(converse(converse(composition(join(one,X_198),X_199)))) != complement(composition(join(one,X_198),X_199))
| converse(complement(converse(composition(join(one,X_198),X_199)))) = complement(composition(join(one,X_198),X_199)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(join(one,X_198),X_199)))),complement(converse(converse(composition(join(one,X_198),X_199))))) )],[refute_0_8631,refute_0_8632]) ).
cnf(refute_0_8634,plain,
converse(complement(converse(composition(join(one,X_198),X_199)))) = complement(composition(join(one,X_198),X_199)),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(join(one,X_198),X_199)))),complement(composition(join(one,X_198),X_199))) )],[refute_0_8630,refute_0_8633]) ).
cnf(refute_0_8635,plain,
complement(converse(complement(converse(composition(join(one,X_198),X_199))))) = complement(converse(complement(converse(composition(join(one,X_198),X_199))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(composition(join(one,X_198),X_199))))))]]) ).
cnf(refute_0_8636,plain,
( complement(converse(complement(converse(composition(join(one,X_198),X_199))))) != complement(converse(complement(converse(composition(join(one,X_198),X_199)))))
| converse(complement(converse(composition(join(one,X_198),X_199)))) != complement(composition(join(one,X_198),X_199))
| complement(converse(complement(converse(composition(join(one,X_198),X_199))))) = complement(complement(composition(join(one,X_198),X_199))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(composition(join(one,X_198),X_199))))),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))) ),[1,0],$fot(complement(composition(join(one,X_198),X_199)))]]) ).
cnf(refute_0_8637,plain,
( converse(complement(converse(composition(join(one,X_198),X_199)))) != complement(composition(join(one,X_198),X_199))
| complement(converse(complement(converse(composition(join(one,X_198),X_199))))) = complement(complement(composition(join(one,X_198),X_199))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(join(one,X_198),X_199))))),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))) )],[refute_0_8635,refute_0_8636]) ).
cnf(refute_0_8638,plain,
complement(converse(complement(converse(composition(join(one,X_198),X_199))))) = complement(complement(composition(join(one,X_198),X_199))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(join(one,X_198),X_199)))),complement(composition(join(one,X_198),X_199))) )],[refute_0_8634,refute_0_8637]) ).
cnf(refute_0_8639,plain,
( complement(complement(composition(join(one,X_198),X_199))) != composition(join(one,X_198),X_199)
| complement(converse(complement(converse(composition(join(one,X_198),X_199))))) != complement(complement(composition(join(one,X_198),X_199)))
| complement(converse(complement(converse(composition(join(one,X_198),X_199))))) = composition(join(one,X_198),X_199) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(complement(converse(composition(join(one,X_198),X_199))))))),bind(Y,$fot(complement(complement(composition(join(one,X_198),X_199))))),bind(Z,$fot(composition(join(one,X_198),X_199)))]]) ).
cnf(refute_0_8640,plain,
( complement(complement(composition(join(one,X_198),X_199))) != composition(join(one,X_198),X_199)
| complement(converse(complement(converse(composition(join(one,X_198),X_199))))) = composition(join(one,X_198),X_199) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(join(one,X_198),X_199))))),complement(complement(composition(join(one,X_198),X_199)))) )],[refute_0_8638,refute_0_8639]) ).
cnf(refute_0_8641,plain,
complement(converse(complement(converse(composition(join(one,X_198),X_199))))) = composition(join(one,X_198),X_199),
inference(resolve,[$cnf( $equal(complement(complement(composition(join(one,X_198),X_199))),composition(join(one,X_198),X_199)) )],[refute_0_8625,refute_0_8640]) ).
cnf(refute_0_8642,plain,
( complement(converse(complement(converse(composition(join(one,X_198),X_199))))) != composition(join(one,X_198),X_199)
| composition(join(X_198,one),X_199) != complement(converse(complement(converse(composition(join(one,X_198),X_199)))))
| composition(join(X_198,one),X_199) = composition(join(one,X_198),X_199) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_198,one),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))) ),[1],$fot(composition(join(one,X_198),X_199))]]) ).
cnf(refute_0_8643,plain,
( composition(join(X_198,one),X_199) != complement(converse(complement(converse(composition(join(one,X_198),X_199)))))
| composition(join(X_198,one),X_199) = composition(join(one,X_198),X_199) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(join(one,X_198),X_199))))),composition(join(one,X_198),X_199)) )],[refute_0_8641,refute_0_8642]) ).
cnf(refute_0_8644,plain,
( complement(converse(complement(converse(composition(join(X_198,one),X_199))))) != complement(converse(complement(converse(composition(join(one,X_198),X_199)))))
| composition(join(X_198,one),X_199) = composition(join(one,X_198),X_199) ),
inference(resolve,[$cnf( $equal(composition(join(X_198,one),X_199),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))) )],[refute_0_8624,refute_0_8643]) ).
cnf(refute_0_8645,plain,
composition(join(X_198,one),X_199) = composition(join(one,X_198),X_199),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(join(X_198,one),X_199))))),complement(converse(complement(converse(composition(join(one,X_198),X_199)))))) )],[refute_0_8605,refute_0_8644]) ).
cnf(refute_0_8646,plain,
composition(join(converse(complement(composition(sk1,complement(sk1)))),one),sk1) = composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1),
inference(subst,[],[refute_0_8645:[bind(X_198,$fot(converse(complement(composition(sk1,complement(sk1)))))),bind(X_199,$fot(sk1))]]) ).
cnf(refute_0_8647,plain,
join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)) = composition(join(converse(complement(composition(sk1,complement(sk1)))),one),sk1),
inference(subst,[],[refute_0_5660:[bind(X_209,$fot(converse(complement(composition(sk1,complement(sk1)))))),bind(X_211,$fot(sk1))]]) ).
cnf(refute_0_8648,plain,
( composition(join(converse(complement(composition(sk1,complement(sk1)))),one),sk1) != composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1)
| join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)) != composition(join(converse(complement(composition(sk1,complement(sk1)))),one),sk1)
| join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)) = composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)))),bind(Y,$fot(composition(join(converse(complement(composition(sk1,complement(sk1)))),one),sk1))),bind(Z,$fot(composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1)))]]) ).
cnf(refute_0_8649,plain,
( composition(join(converse(complement(composition(sk1,complement(sk1)))),one),sk1) != composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1)
| join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)) = composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1) ),
inference(resolve,[$cnf( $equal(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)),composition(join(converse(complement(composition(sk1,complement(sk1)))),one),sk1)) )],[refute_0_8647,refute_0_8648]) ).
cnf(refute_0_8650,plain,
join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)) = composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(sk1,complement(sk1)))),one),sk1),composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1)) )],[refute_0_8646,refute_0_8649]) ).
cnf(refute_0_8651,plain,
( composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1) != composition(complement(converse(composition(sk1,complement(sk1)))),sk1)
| join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)) != composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1)
| join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)) = composition(complement(converse(composition(sk1,complement(sk1)))),sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)))),bind(Y,$fot(composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1))),bind(Z,$fot(composition(complement(converse(composition(sk1,complement(sk1)))),sk1)))]]) ).
cnf(refute_0_8652,plain,
( composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1) != composition(complement(converse(composition(sk1,complement(sk1)))),sk1)
| join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)) = composition(complement(converse(composition(sk1,complement(sk1)))),sk1) ),
inference(resolve,[$cnf( $equal(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)),composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1)) )],[refute_0_8650,refute_0_8651]) ).
cnf(refute_0_8653,plain,
join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)) = composition(complement(converse(composition(sk1,complement(sk1)))),sk1),
inference(resolve,[$cnf( $equal(composition(join(one,converse(complement(composition(sk1,complement(sk1))))),sk1),composition(complement(converse(composition(sk1,complement(sk1)))),sk1)) )],[refute_0_8473,refute_0_8652]) ).
cnf(refute_0_8654,plain,
converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))) = converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))),
introduced(tautology,[refl,[$fot(converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))))]]) ).
cnf(refute_0_8655,plain,
( converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))) != converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)))
| join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)) != composition(complement(converse(composition(sk1,complement(sk1)))),sk1)
| converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))) = converse(composition(complement(converse(composition(sk1,complement(sk1)))),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))),converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)))) ),[1,0],$fot(composition(complement(converse(composition(sk1,complement(sk1)))),sk1))]]) ).
cnf(refute_0_8656,plain,
( join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)) != composition(complement(converse(composition(sk1,complement(sk1)))),sk1)
| converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))) = converse(composition(complement(converse(composition(sk1,complement(sk1)))),sk1)) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))),converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)))) )],[refute_0_8654,refute_0_8655]) ).
cnf(refute_0_8657,plain,
converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))) = converse(composition(complement(converse(composition(sk1,complement(sk1)))),sk1)),
inference(resolve,[$cnf( $equal(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)),composition(complement(converse(composition(sk1,complement(sk1)))),sk1)) )],[refute_0_8653,refute_0_8656]) ).
cnf(refute_0_8658,plain,
( converse(composition(complement(converse(composition(sk1,complement(sk1)))),sk1)) != composition(converse(sk1),complement(composition(sk1,complement(sk1))))
| converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))) != converse(composition(complement(converse(composition(sk1,complement(sk1)))),sk1))
| converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))) = composition(converse(sk1),complement(composition(sk1,complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))))),bind(Y,$fot(converse(composition(complement(converse(composition(sk1,complement(sk1)))),sk1)))),bind(Z,$fot(composition(converse(sk1),complement(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_8659,plain,
( converse(composition(complement(converse(composition(sk1,complement(sk1)))),sk1)) != composition(converse(sk1),complement(composition(sk1,complement(sk1))))
| converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))) = composition(converse(sk1),complement(composition(sk1,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))),converse(composition(complement(converse(composition(sk1,complement(sk1)))),sk1))) )],[refute_0_8657,refute_0_8658]) ).
cnf(refute_0_8660,plain,
converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))) = composition(converse(sk1),complement(composition(sk1,complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(sk1,complement(sk1)))),sk1)),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) )],[refute_0_8420,refute_0_8659]) ).
cnf(refute_0_8661,plain,
converse(join(X_11,converse(composition(converse(X_54),X_55)))) = join(converse(X_11),composition(converse(X_54),X_55)),
inference(subst,[],[refute_0_1350:[bind(A,$fot(composition(converse(X_54),X_55)))]]) ).
cnf(refute_0_8662,plain,
converse(composition(converse(X_54),X_55)) = composition(converse(X_55),X_54),
inference(subst,[],[refute_0_58:[bind(A,$fot(X_54)),bind(X_19,$fot(X_55))]]) ).
cnf(refute_0_8663,plain,
( converse(composition(converse(X_54),X_55)) != composition(converse(X_55),X_54)
| converse(join(X_11,converse(composition(converse(X_54),X_55)))) != join(converse(X_11),composition(converse(X_54),X_55))
| converse(join(X_11,composition(converse(X_55),X_54))) = join(converse(X_11),composition(converse(X_54),X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_11,converse(composition(converse(X_54),X_55)))),join(converse(X_11),composition(converse(X_54),X_55))) ),[0,0,1],$fot(composition(converse(X_55),X_54))]]) ).
cnf(refute_0_8664,plain,
( converse(join(X_11,converse(composition(converse(X_54),X_55)))) != join(converse(X_11),composition(converse(X_54),X_55))
| converse(join(X_11,composition(converse(X_55),X_54))) = join(converse(X_11),composition(converse(X_54),X_55)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_54),X_55)),composition(converse(X_55),X_54)) )],[refute_0_8662,refute_0_8663]) ).
cnf(refute_0_8665,plain,
converse(join(X_11,composition(converse(X_55),X_54))) = join(converse(X_11),composition(converse(X_54),X_55)),
inference(resolve,[$cnf( $equal(converse(join(X_11,converse(composition(converse(X_54),X_55)))),join(converse(X_11),composition(converse(X_54),X_55))) )],[refute_0_8661,refute_0_8664]) ).
cnf(refute_0_8666,plain,
( converse(join(X_11,composition(converse(X_55),X_54))) != join(converse(X_11),composition(converse(X_54),X_55))
| join(converse(X_11),composition(converse(X_54),X_55)) = converse(join(X_11,composition(converse(X_55),X_54))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_11,composition(converse(X_55),X_54))))),bind(Y,$fot(join(converse(X_11),composition(converse(X_54),X_55))))]]) ).
cnf(refute_0_8667,plain,
join(converse(X_11),composition(converse(X_54),X_55)) = converse(join(X_11,composition(converse(X_55),X_54))),
inference(resolve,[$cnf( $equal(converse(join(X_11,composition(converse(X_55),X_54))),join(converse(X_11),composition(converse(X_54),X_55))) )],[refute_0_8665,refute_0_8666]) ).
cnf(refute_0_8668,plain,
join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))),
inference(subst,[],[refute_0_8667:[bind(X_11,$fot(sk1)),bind(X_54,$fot(sk1)),bind(X_55,$fot(complement(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_8669,plain,
( converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))) != composition(converse(sk1),complement(composition(sk1,complement(sk1))))
| join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) != converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)))
| join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = composition(converse(sk1),complement(composition(sk1,complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))))),bind(Y,$fot(converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))))),bind(Z,$fot(composition(converse(sk1),complement(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_8670,plain,
( converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))) != composition(converse(sk1),complement(composition(sk1,complement(sk1))))
| join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = composition(converse(sk1),complement(composition(sk1,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))),converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1)))) )],[refute_0_8668,refute_0_8669]) ).
cnf(refute_0_8671,plain,
join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = composition(converse(sk1),complement(composition(sk1,complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(join(sk1,composition(converse(complement(composition(sk1,complement(sk1)))),sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) )],[refute_0_8660,refute_0_8670]) ).
cnf(refute_0_8672,plain,
join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))),
introduced(tautology,[refl,[$fot(join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_8673,plain,
( complement(complement(converse(sk1))) != converse(sk1)
| join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) != join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1)))))
| join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))),join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1)))))) ),[1,0],$fot(converse(sk1))]]) ).
cnf(refute_0_8674,plain,
( complement(complement(converse(sk1))) != converse(sk1)
| join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))),join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1)))))) )],[refute_0_8672,refute_0_8673]) ).
cnf(refute_0_8675,plain,
join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(sk1))),converse(sk1)) )],[refute_0_3426,refute_0_8674]) ).
cnf(refute_0_8676,plain,
( join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) != join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1)))))
| join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) != composition(converse(sk1),complement(composition(sk1,complement(sk1))))
| join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = composition(converse(sk1),complement(composition(sk1,complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))))),bind(Y,$fot(join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))))),bind(Z,$fot(composition(converse(sk1),complement(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_8677,plain,
( join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) != composition(converse(sk1),complement(composition(sk1,complement(sk1))))
| join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = composition(converse(sk1),complement(composition(sk1,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))),join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1)))))) )],[refute_0_8675,refute_0_8676]) ).
cnf(refute_0_8678,plain,
join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) = composition(converse(sk1),complement(composition(sk1,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(converse(sk1),composition(converse(sk1),complement(composition(sk1,complement(sk1))))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) )],[refute_0_8671,refute_0_8677]) ).
cnf(refute_0_8679,plain,
( join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) != complement(complement(converse(sk1)))
| join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) != composition(converse(sk1),complement(composition(sk1,complement(sk1))))
| composition(converse(sk1),complement(composition(sk1,complement(sk1)))) = complement(complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))),complement(complement(converse(sk1)))) ),[0],$fot(composition(converse(sk1),complement(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_8680,plain,
( join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) != complement(complement(converse(sk1)))
| composition(converse(sk1),complement(composition(sk1,complement(sk1)))) = complement(complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) )],[refute_0_8678,refute_0_8679]) ).
cnf(refute_0_8681,plain,
( complement(complement(converse(sk1))) != converse(sk1)
| composition(converse(sk1),complement(composition(sk1,complement(sk1)))) != complement(complement(converse(sk1)))
| composition(converse(sk1),complement(composition(sk1,complement(sk1)))) = converse(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(sk1),complement(composition(sk1,complement(sk1)))),complement(complement(converse(sk1)))) ),[1],$fot(converse(sk1))]]) ).
cnf(refute_0_8682,plain,
( composition(converse(sk1),complement(composition(sk1,complement(sk1)))) != complement(complement(converse(sk1)))
| composition(converse(sk1),complement(composition(sk1,complement(sk1)))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(sk1))),converse(sk1)) )],[refute_0_3426,refute_0_8681]) ).
cnf(refute_0_8683,plain,
( join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) != complement(complement(converse(sk1)))
| composition(converse(sk1),complement(composition(sk1,complement(sk1)))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(composition(converse(sk1),complement(composition(sk1,complement(sk1)))),complement(complement(converse(sk1)))) )],[refute_0_8680,refute_0_8682]) ).
cnf(refute_0_8684,plain,
composition(converse(sk1),complement(composition(sk1,complement(sk1)))) = converse(sk1),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(sk1))),composition(converse(sk1),complement(composition(sk1,complement(sk1))))),complement(complement(converse(sk1)))) )],[refute_0_8415,refute_0_8683]) ).
cnf(refute_0_8685,plain,
( composition(converse(sk1),complement(composition(sk1,complement(sk1)))) != converse(sk1)
| join(complement(complement(sk1)),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) != complement(complement(sk1))
| join(complement(complement(sk1)),converse(sk1)) = complement(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(sk1)),composition(converse(sk1),complement(composition(sk1,complement(sk1))))),complement(complement(sk1))) ),[0,1],$fot(converse(sk1))]]) ).
cnf(refute_0_8686,plain,
( join(complement(complement(sk1)),composition(converse(sk1),complement(composition(sk1,complement(sk1))))) != complement(complement(sk1))
| join(complement(complement(sk1)),converse(sk1)) = complement(complement(sk1)) ),
inference(resolve,[$cnf( $equal(composition(converse(sk1),complement(composition(sk1,complement(sk1)))),converse(sk1)) )],[refute_0_8684,refute_0_8685]) ).
cnf(refute_0_8687,plain,
join(complement(complement(sk1)),converse(sk1)) = complement(complement(sk1)),
inference(resolve,[$cnf( $equal(join(complement(complement(sk1)),composition(converse(sk1),complement(composition(sk1,complement(sk1))))),complement(complement(sk1))) )],[refute_0_8411,refute_0_8686]) ).
cnf(refute_0_8688,plain,
( join(A,converse(sk1)) != join(converse(sk1),A)
| join(converse(sk1),A) = join(A,converse(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,converse(sk1)))),bind(Y,$fot(join(converse(sk1),A)))]]) ).
cnf(refute_0_8689,plain,
join(converse(sk1),A) = join(A,converse(sk1)),
inference(resolve,[$cnf( $equal(join(A,converse(sk1)),join(converse(sk1),A)) )],[refute_0_8124,refute_0_8688]) ).
cnf(refute_0_8690,plain,
join(converse(sk1),sk1) = join(sk1,converse(sk1)),
inference(subst,[],[refute_0_8689:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_8691,plain,
join(converse(sk1),complement(complement(sk1))) = join(converse(sk1),complement(complement(sk1))),
introduced(tautology,[refl,[$fot(join(converse(sk1),complement(complement(sk1))))]]) ).
cnf(refute_0_8692,plain,
( complement(complement(sk1)) != sk1
| join(converse(sk1),complement(complement(sk1))) != join(converse(sk1),complement(complement(sk1)))
| join(converse(sk1),complement(complement(sk1))) = join(converse(sk1),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),complement(complement(sk1))),join(converse(sk1),complement(complement(sk1)))) ),[1,1],$fot(sk1)]]) ).
cnf(refute_0_8693,plain,
( complement(complement(sk1)) != sk1
| join(converse(sk1),complement(complement(sk1))) = join(converse(sk1),sk1) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(complement(sk1))),join(converse(sk1),complement(complement(sk1)))) )],[refute_0_8691,refute_0_8692]) ).
cnf(refute_0_8694,plain,
join(converse(sk1),complement(complement(sk1))) = join(converse(sk1),sk1),
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_2273,refute_0_8693]) ).
cnf(refute_0_8695,plain,
( join(converse(sk1),complement(complement(sk1))) != join(converse(sk1),sk1)
| join(converse(sk1),sk1) != join(sk1,converse(sk1))
| join(converse(sk1),complement(complement(sk1))) = join(sk1,converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),complement(complement(sk1))))),bind(Y,$fot(join(converse(sk1),sk1))),bind(Z,$fot(join(sk1,converse(sk1))))]]) ).
cnf(refute_0_8696,plain,
( join(converse(sk1),sk1) != join(sk1,converse(sk1))
| join(converse(sk1),complement(complement(sk1))) = join(sk1,converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(complement(sk1))),join(converse(sk1),sk1)) )],[refute_0_8694,refute_0_8695]) ).
cnf(refute_0_8697,plain,
join(converse(sk1),complement(complement(sk1))) = join(sk1,converse(sk1)),
inference(resolve,[$cnf( $equal(join(converse(sk1),sk1),join(sk1,converse(sk1))) )],[refute_0_8690,refute_0_8696]) ).
cnf(refute_0_8698,plain,
join(A,join(complement(X_543),meet(X_543,converse(complement(converse(X_543)))))) = join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(complement(X_543))),bind(X_32,$fot(meet(X_543,converse(complement(converse(X_543))))))]]) ).
cnf(refute_0_8699,plain,
( join(A,join(complement(X_543),meet(X_543,converse(complement(converse(X_543)))))) != join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))
| join(complement(X_543),meet(X_543,converse(complement(converse(X_543))))) != converse(complement(converse(X_543)))
| join(A,converse(complement(converse(X_543)))) = join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(complement(X_543),meet(X_543,converse(complement(converse(X_543)))))),join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))) ),[0,1],$fot(converse(complement(converse(X_543))))]]) ).
cnf(refute_0_8700,plain,
( join(A,join(complement(X_543),meet(X_543,converse(complement(converse(X_543)))))) != join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))
| join(A,converse(complement(converse(X_543)))) = join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)) ),
inference(resolve,[$cnf( $equal(join(complement(X_543),meet(X_543,converse(complement(converse(X_543))))),converse(complement(converse(X_543)))) )],[refute_0_4680,refute_0_8699]) ).
cnf(refute_0_8701,plain,
join(A,converse(complement(converse(X_543)))) = join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)),
inference(resolve,[$cnf( $equal(join(A,join(complement(X_543),meet(X_543,converse(complement(converse(X_543)))))),join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))) )],[refute_0_8698,refute_0_8700]) ).
cnf(refute_0_8702,plain,
converse(converse(X_543)) = X_543,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_543))]]) ).
cnf(refute_0_8703,plain,
complement(converse(converse(X_543))) = complement(converse(converse(X_543))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X_543))))]]) ).
cnf(refute_0_8704,plain,
( complement(converse(converse(X_543))) != complement(converse(converse(X_543)))
| converse(converse(X_543)) != X_543
| complement(converse(converse(X_543))) = complement(X_543) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_543))),complement(converse(converse(X_543)))) ),[1,0],$fot(X_543)]]) ).
cnf(refute_0_8705,plain,
( converse(converse(X_543)) != X_543
| complement(converse(converse(X_543))) = complement(X_543) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_543))),complement(converse(converse(X_543)))) )],[refute_0_8703,refute_0_8704]) ).
cnf(refute_0_8706,plain,
complement(converse(converse(X_543))) = complement(X_543),
inference(resolve,[$cnf( $equal(converse(converse(X_543)),X_543) )],[refute_0_8702,refute_0_8705]) ).
cnf(refute_0_8707,plain,
converse(complement(converse(X_543))) = complement(converse(converse(X_543))),
inference(subst,[],[refute_0_4748:[bind(X_544,$fot(converse(X_543)))]]) ).
cnf(refute_0_8708,plain,
( complement(converse(converse(X_543))) != complement(X_543)
| converse(complement(converse(X_543))) != complement(converse(converse(X_543)))
| converse(complement(converse(X_543))) = complement(X_543) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(complement(converse(X_543))))),bind(Y,$fot(complement(converse(converse(X_543))))),bind(Z,$fot(complement(X_543)))]]) ).
cnf(refute_0_8709,plain,
( complement(converse(converse(X_543))) != complement(X_543)
| converse(complement(converse(X_543))) = complement(X_543) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_543))),complement(converse(converse(X_543)))) )],[refute_0_8707,refute_0_8708]) ).
cnf(refute_0_8710,plain,
converse(complement(converse(X_543))) = complement(X_543),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_543))),complement(X_543)) )],[refute_0_8706,refute_0_8709]) ).
cnf(refute_0_8711,plain,
join(A,converse(complement(converse(X_543)))) = join(A,converse(complement(converse(X_543)))),
introduced(tautology,[refl,[$fot(join(A,converse(complement(converse(X_543)))))]]) ).
cnf(refute_0_8712,plain,
( converse(complement(converse(X_543))) != complement(X_543)
| join(A,converse(complement(converse(X_543)))) != join(A,converse(complement(converse(X_543))))
| join(A,converse(complement(converse(X_543)))) = join(A,complement(X_543)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(complement(converse(X_543)))),join(A,converse(complement(converse(X_543))))) ),[1,1],$fot(complement(X_543))]]) ).
cnf(refute_0_8713,plain,
( converse(complement(converse(X_543))) != complement(X_543)
| join(A,converse(complement(converse(X_543)))) = join(A,complement(X_543)) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(converse(X_543)))),join(A,converse(complement(converse(X_543))))) )],[refute_0_8711,refute_0_8712]) ).
cnf(refute_0_8714,plain,
join(A,converse(complement(converse(X_543)))) = join(A,complement(X_543)),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_543))),complement(X_543)) )],[refute_0_8710,refute_0_8713]) ).
cnf(refute_0_8715,plain,
( join(A,converse(complement(converse(X_543)))) != join(A,complement(X_543))
| join(A,converse(complement(converse(X_543)))) != join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))
| join(A,complement(X_543)) = join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(complement(converse(X_543)))),join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))) ),[0],$fot(join(A,complement(X_543)))]]) ).
cnf(refute_0_8716,plain,
( join(A,converse(complement(converse(X_543)))) != join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))
| join(A,complement(X_543)) = join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(converse(X_543)))),join(A,complement(X_543))) )],[refute_0_8714,refute_0_8715]) ).
cnf(refute_0_8717,plain,
meet(X_543,complement(X_543)) = zero,
inference(subst,[],[refute_0_486:[bind(A,$fot(X_543))]]) ).
cnf(refute_0_8718,plain,
meet(X_543,converse(complement(converse(X_543)))) = meet(X_543,converse(complement(converse(X_543)))),
introduced(tautology,[refl,[$fot(meet(X_543,converse(complement(converse(X_543)))))]]) ).
cnf(refute_0_8719,plain,
( converse(complement(converse(X_543))) != complement(X_543)
| meet(X_543,converse(complement(converse(X_543)))) != meet(X_543,converse(complement(converse(X_543))))
| meet(X_543,converse(complement(converse(X_543)))) = meet(X_543,complement(X_543)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_543,converse(complement(converse(X_543)))),meet(X_543,converse(complement(converse(X_543))))) ),[1,1],$fot(complement(X_543))]]) ).
cnf(refute_0_8720,plain,
( converse(complement(converse(X_543))) != complement(X_543)
| meet(X_543,converse(complement(converse(X_543)))) = meet(X_543,complement(X_543)) ),
inference(resolve,[$cnf( $equal(meet(X_543,converse(complement(converse(X_543)))),meet(X_543,converse(complement(converse(X_543))))) )],[refute_0_8718,refute_0_8719]) ).
cnf(refute_0_8721,plain,
meet(X_543,converse(complement(converse(X_543)))) = meet(X_543,complement(X_543)),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_543))),complement(X_543)) )],[refute_0_8710,refute_0_8720]) ).
cnf(refute_0_8722,plain,
( meet(X_543,complement(X_543)) != zero
| meet(X_543,converse(complement(converse(X_543)))) != meet(X_543,complement(X_543))
| meet(X_543,converse(complement(converse(X_543)))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X_543,converse(complement(converse(X_543)))))),bind(Y,$fot(meet(X_543,complement(X_543)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_8723,plain,
( meet(X_543,complement(X_543)) != zero
| meet(X_543,converse(complement(converse(X_543)))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_543,converse(complement(converse(X_543)))),meet(X_543,complement(X_543))) )],[refute_0_8721,refute_0_8722]) ).
cnf(refute_0_8724,plain,
meet(X_543,converse(complement(converse(X_543)))) = zero,
inference(resolve,[$cnf( $equal(meet(X_543,complement(X_543)),zero) )],[refute_0_8717,refute_0_8723]) ).
cnf(refute_0_8725,plain,
join(meet(X_543,converse(complement(converse(X_543)))),A) = join(meet(X_543,converse(complement(converse(X_543)))),A),
introduced(tautology,[refl,[$fot(join(meet(X_543,converse(complement(converse(X_543)))),A))]]) ).
cnf(refute_0_8726,plain,
( join(meet(X_543,converse(complement(converse(X_543)))),A) != join(meet(X_543,converse(complement(converse(X_543)))),A)
| meet(X_543,converse(complement(converse(X_543)))) != zero
| join(meet(X_543,converse(complement(converse(X_543)))),A) = join(zero,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_543,converse(complement(converse(X_543)))),A),join(meet(X_543,converse(complement(converse(X_543)))),A)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8727,plain,
( meet(X_543,converse(complement(converse(X_543)))) != zero
| join(meet(X_543,converse(complement(converse(X_543)))),A) = join(zero,A) ),
inference(resolve,[$cnf( $equal(join(meet(X_543,converse(complement(converse(X_543)))),A),join(meet(X_543,converse(complement(converse(X_543)))),A)) )],[refute_0_8725,refute_0_8726]) ).
cnf(refute_0_8728,plain,
join(meet(X_543,converse(complement(converse(X_543)))),A) = join(zero,A),
inference(resolve,[$cnf( $equal(meet(X_543,converse(complement(converse(X_543)))),zero) )],[refute_0_8724,refute_0_8727]) ).
cnf(refute_0_8729,plain,
( join(meet(X_543,converse(complement(converse(X_543)))),A) != join(zero,A)
| join(zero,A) != A
| join(meet(X_543,converse(complement(converse(X_543)))),A) = A ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(X_543,converse(complement(converse(X_543)))),A))),bind(Y,$fot(join(zero,A))),bind(Z,$fot(A))]]) ).
cnf(refute_0_8730,plain,
( join(zero,A) != A
| join(meet(X_543,converse(complement(converse(X_543)))),A) = A ),
inference(resolve,[$cnf( $equal(join(meet(X_543,converse(complement(converse(X_543)))),A),join(zero,A)) )],[refute_0_8728,refute_0_8729]) ).
cnf(refute_0_8731,plain,
join(meet(X_543,converse(complement(converse(X_543)))),A) = A,
inference(resolve,[$cnf( $equal(join(zero,A),A) )],[refute_0_1385,refute_0_8730]) ).
cnf(refute_0_8732,plain,
join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)) = join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)),
introduced(tautology,[refl,[$fot(join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)))]]) ).
cnf(refute_0_8733,plain,
( join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)) != join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))
| join(meet(X_543,converse(complement(converse(X_543)))),A) != A
| join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)) = join(complement(X_543),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)),join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_8734,plain,
( join(meet(X_543,converse(complement(converse(X_543)))),A) != A
| join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)) = join(complement(X_543),A) ),
inference(resolve,[$cnf( $equal(join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)),join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))) )],[refute_0_8732,refute_0_8733]) ).
cnf(refute_0_8735,plain,
join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)) = join(complement(X_543),A),
inference(resolve,[$cnf( $equal(join(meet(X_543,converse(complement(converse(X_543)))),A),A) )],[refute_0_8731,refute_0_8734]) ).
cnf(refute_0_8736,plain,
( join(A,complement(X_543)) != join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))
| join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)) != join(complement(X_543),A)
| join(A,complement(X_543)) = join(complement(X_543),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,complement(X_543)),join(complement(X_543),A)) ),[0],$fot(join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)))]]) ).
cnf(refute_0_8737,plain,
( join(A,complement(X_543)) != join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))
| join(A,complement(X_543)) = join(complement(X_543),A) ),
inference(resolve,[$cnf( $equal(join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A)),join(complement(X_543),A)) )],[refute_0_8735,refute_0_8736]) ).
cnf(refute_0_8738,plain,
( join(A,converse(complement(converse(X_543)))) != join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))
| join(A,complement(X_543)) = join(complement(X_543),A) ),
inference(resolve,[$cnf( $equal(join(A,complement(X_543)),join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))) )],[refute_0_8716,refute_0_8737]) ).
cnf(refute_0_8739,plain,
join(A,complement(X_543)) = join(complement(X_543),A),
inference(resolve,[$cnf( $equal(join(A,converse(complement(converse(X_543)))),join(complement(X_543),join(meet(X_543,converse(complement(converse(X_543)))),A))) )],[refute_0_8701,refute_0_8738]) ).
cnf(refute_0_8740,plain,
( join(A,complement(X_543)) != join(complement(X_543),A)
| join(complement(X_543),A) = join(A,complement(X_543)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,complement(X_543)))),bind(Y,$fot(join(complement(X_543),A)))]]) ).
cnf(refute_0_8741,plain,
join(complement(X_543),A) = join(A,complement(X_543)),
inference(resolve,[$cnf( $equal(join(A,complement(X_543)),join(complement(X_543),A)) )],[refute_0_8739,refute_0_8740]) ).
cnf(refute_0_8742,plain,
join(complement(complement(sk1)),converse(sk1)) = join(converse(sk1),complement(complement(sk1))),
inference(subst,[],[refute_0_8741:[bind(A,$fot(converse(sk1))),bind(X_543,$fot(complement(sk1)))]]) ).
cnf(refute_0_8743,plain,
( join(complement(complement(sk1)),converse(sk1)) != join(converse(sk1),complement(complement(sk1)))
| join(converse(sk1),complement(complement(sk1))) != join(sk1,converse(sk1))
| join(complement(complement(sk1)),converse(sk1)) = join(sk1,converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(sk1)),converse(sk1)))),bind(Y,$fot(join(converse(sk1),complement(complement(sk1))))),bind(Z,$fot(join(sk1,converse(sk1))))]]) ).
cnf(refute_0_8744,plain,
( join(converse(sk1),complement(complement(sk1))) != join(sk1,converse(sk1))
| join(complement(complement(sk1)),converse(sk1)) = join(sk1,converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(sk1)),converse(sk1)),join(converse(sk1),complement(complement(sk1)))) )],[refute_0_8742,refute_0_8743]) ).
cnf(refute_0_8745,plain,
join(complement(complement(sk1)),converse(sk1)) = join(sk1,converse(sk1)),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(complement(sk1))),join(sk1,converse(sk1))) )],[refute_0_8697,refute_0_8744]) ).
cnf(refute_0_8746,plain,
( join(complement(complement(sk1)),converse(sk1)) != complement(complement(sk1))
| join(complement(complement(sk1)),converse(sk1)) != join(sk1,converse(sk1))
| join(sk1,converse(sk1)) = complement(complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(sk1)),converse(sk1)),complement(complement(sk1))) ),[0],$fot(join(sk1,converse(sk1)))]]) ).
cnf(refute_0_8747,plain,
( join(complement(complement(sk1)),converse(sk1)) != complement(complement(sk1))
| join(sk1,converse(sk1)) = complement(complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(sk1)),converse(sk1)),join(sk1,converse(sk1))) )],[refute_0_8745,refute_0_8746]) ).
cnf(refute_0_8748,plain,
( complement(complement(sk1)) != sk1
| join(sk1,converse(sk1)) != complement(complement(sk1))
| join(sk1,converse(sk1)) = sk1 ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(sk1)),complement(complement(sk1))) ),[1],$fot(sk1)]]) ).
cnf(refute_0_8749,plain,
( join(sk1,converse(sk1)) != complement(complement(sk1))
| join(sk1,converse(sk1)) = sk1 ),
inference(resolve,[$cnf( $equal(complement(complement(sk1)),sk1) )],[refute_0_2273,refute_0_8748]) ).
cnf(refute_0_8750,plain,
( join(complement(complement(sk1)),converse(sk1)) != complement(complement(sk1))
| join(sk1,converse(sk1)) = sk1 ),
inference(resolve,[$cnf( $equal(join(sk1,converse(sk1)),complement(complement(sk1))) )],[refute_0_8747,refute_0_8749]) ).
cnf(refute_0_8751,plain,
join(sk1,converse(sk1)) = sk1,
inference(resolve,[$cnf( $equal(join(complement(complement(sk1)),converse(sk1)),complement(complement(sk1))) )],[refute_0_8687,refute_0_8750]) ).
cnf(refute_0_8752,plain,
( join(converse(sk1),sk1) != join(sk1,converse(sk1))
| join(sk1,converse(sk1)) != sk1
| join(converse(sk1),sk1) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),sk1))),bind(Y,$fot(join(sk1,converse(sk1)))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_8753,plain,
( join(sk1,converse(sk1)) != sk1
| join(converse(sk1),sk1) = sk1 ),
inference(resolve,[$cnf( $equal(join(converse(sk1),sk1),join(sk1,converse(sk1))) )],[refute_0_8690,refute_0_8752]) ).
cnf(refute_0_8754,plain,
join(converse(sk1),sk1) = sk1,
inference(resolve,[$cnf( $equal(join(sk1,converse(sk1)),sk1) )],[refute_0_8751,refute_0_8753]) ).
cnf(refute_0_8755,plain,
meet(join(sk1,complement(one)),top) = join(sk1,complement(one)),
inference(subst,[],[refute_0_1906:[bind(X_97,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_8756,plain,
join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))) = top,
inference(subst,[],[refute_0_3456:[bind(X_11,$fot(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))),bind(X_145,$fot(sk1))]]) ).
cnf(refute_0_8757,plain,
one = join(meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_152:[bind(A,$fot(one)),bind(B,$fot(join(sk1,converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8758,plain,
complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))) = meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))))),
inference(subst,[],[refute_0_1092:[bind(X_97,$fot(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8759,plain,
top = converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(join(converse(complement(join(sk1,complement(one)))),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))))),
inference(subst,[],[refute_0_8215:[bind(X_177,$fot(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8760,plain,
join(converse(complement(join(sk1,complement(one)))),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = top,
inference(subst,[],[refute_0_4873:[bind(X_53,$fot(converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8761,plain,
( join(converse(complement(join(sk1,complement(one)))),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) != top
| top != converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(join(converse(complement(join(sk1,complement(one)))),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))))
| top = converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(join(converse(complement(join(sk1,complement(one)))),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))))) ),[1,0,1,1,0],$fot(top)]]) ).
cnf(refute_0_8762,plain,
( top != converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(join(converse(complement(join(sk1,complement(one)))),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))))
| top = converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),top) )],[refute_0_8760,refute_0_8761]) ).
cnf(refute_0_8763,plain,
top = converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top)))),
inference(resolve,[$cnf( $equal(top,converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(join(converse(complement(join(sk1,complement(one)))),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))))) )],[refute_0_8759,refute_0_8762]) ).
cnf(refute_0_8764,plain,
meet(top,join(sk1,converse(complement(join(sk1,complement(one)))))) = join(sk1,converse(complement(join(sk1,complement(one))))),
inference(subst,[],[refute_0_3072:[bind(X_105,$fot(join(sk1,converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8765,plain,
complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8766,plain,
( complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))) != complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one)))))))
| meet(top,join(sk1,converse(complement(join(sk1,complement(one)))))) != join(sk1,converse(complement(join(sk1,complement(one)))))
| complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(join(sk1,converse(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))),complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one)))))))) ),[1,0],$fot(join(sk1,converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8767,plain,
( meet(top,join(sk1,converse(complement(join(sk1,complement(one)))))) != join(sk1,converse(complement(join(sk1,complement(one)))))
| complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(join(sk1,converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))),complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one)))))))) )],[refute_0_8765,refute_0_8766]) ).
cnf(refute_0_8768,plain,
complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(join(sk1,converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(top,join(sk1,converse(complement(join(sk1,complement(one)))))),join(sk1,converse(complement(join(sk1,complement(one)))))) )],[refute_0_8764,refute_0_8767]) ).
cnf(refute_0_8769,plain,
join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(top)),bind(B,$fot(join(sk1,converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8770,plain,
( complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))) != complement(join(sk1,converse(complement(join(sk1,complement(one))))))
| join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))) != complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one)))))))
| join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(join(sk1,converse(complement(join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))),bind(Y,$fot(complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))))),bind(Z,$fot(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8771,plain,
( complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))) != complement(join(sk1,converse(complement(join(sk1,complement(one))))))
| join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(join(sk1,converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one)))))))) )],[refute_0_8769,refute_0_8770]) ).
cnf(refute_0_8772,plain,
join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(join(sk1,converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(sk1,converse(complement(join(sk1,complement(one))))))),complement(join(sk1,converse(complement(join(sk1,complement(one))))))) )],[refute_0_8768,refute_0_8771]) ).
cnf(refute_0_8773,plain,
join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8774,plain,
( join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))) != complement(join(sk1,converse(complement(join(sk1,complement(one))))))
| join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),[1,1],$fot(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8775,plain,
( join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))) != complement(join(sk1,converse(complement(join(sk1,complement(one))))))
| join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8773,refute_0_8774]) ).
cnf(refute_0_8776,plain,
join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(join(sk1,converse(complement(join(sk1,complement(one))))))) )],[refute_0_8772,refute_0_8775]) ).
cnf(refute_0_8777,plain,
join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top))) = join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_6976:[bind(X_155,$fot(complement(top))),bind(X_157,$fot(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8778,plain,
join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))) = join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top))),
inference(subst,[],[refute_0_1491:[bind(C,$fot(join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top))))]]) ).
cnf(refute_0_8779,plain,
( join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top))) != join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))) != join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))
| join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))) = join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))))),bind(Y,$fot(join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top))))),bind(Z,$fot(join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8780,plain,
( join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top))) != join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))) = join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))),join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))) )],[refute_0_8778,refute_0_8779]) ).
cnf(refute_0_8781,plain,
join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))) = join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top))),join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8777,refute_0_8780]) ).
cnf(refute_0_8782,plain,
join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))),
inference(subst,[],[refute_0_8283:[bind(A,$fot(one)),bind(B,$fot(complement(top))),bind(X_156,$fot(one)),bind(X_157,$fot(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8783,plain,
( join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) != join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top))))
| join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))) != join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))),bind(Y,$fot(join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))))),bind(Z,$fot(join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8784,plain,
( join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))) != join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))),join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top))))) )],[refute_0_8782,refute_0_8783]) ).
cnf(refute_0_8785,plain,
join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(complement(join(sk1,converse(complement(join(sk1,complement(one)))))),complement(top)))),join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8781,refute_0_8784]) ).
cnf(refute_0_8786,plain,
( join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))
| join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) != join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))),bind(Y,$fot(join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))),bind(Z,$fot(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8787,plain,
( join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))
| join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))),join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8785,refute_0_8786]) ).
cnf(refute_0_8788,plain,
join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) )],[refute_0_8776,refute_0_8787]) ).
cnf(refute_0_8789,plain,
converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))) = converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))))]]) ).
cnf(refute_0_8790,plain,
( converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))) != converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))
| join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) != join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))
| converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))) = converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))),converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))) ),[1,0],$fot(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8791,plain,
( join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) != join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))
| converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))) = converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))),converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))) )],[refute_0_8789,refute_0_8790]) ).
cnf(refute_0_8792,plain,
converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))) = converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) )],[refute_0_8788,refute_0_8791]) ).
cnf(refute_0_8793,plain,
converse(join(one,join(X_11,X_12))) = join(one,converse(join(X_11,X_12))),
inference(subst,[],[refute_0_828:[bind(X_12,$fot(join(X_11,X_12)))]]) ).
cnf(refute_0_8794,plain,
( converse(join(X_11,X_12)) != converse(join(X_12,X_11))
| converse(join(one,join(X_11,X_12))) != join(one,converse(join(X_11,X_12)))
| converse(join(one,join(X_11,X_12))) = join(one,converse(join(X_12,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_11,X_12))),join(one,converse(join(X_11,X_12)))) ),[1,1],$fot(converse(join(X_12,X_11)))]]) ).
cnf(refute_0_8795,plain,
( converse(join(one,join(X_11,X_12))) != join(one,converse(join(X_11,X_12)))
| converse(join(one,join(X_11,X_12))) = join(one,converse(join(X_12,X_11))) ),
inference(resolve,[$cnf( $equal(converse(join(X_11,X_12)),converse(join(X_12,X_11))) )],[refute_0_855,refute_0_8794]) ).
cnf(refute_0_8796,plain,
converse(join(one,join(X_11,X_12))) = join(one,converse(join(X_12,X_11))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_11,X_12))),join(one,converse(join(X_11,X_12)))) )],[refute_0_8793,refute_0_8795]) ).
cnf(refute_0_8797,plain,
join(one,converse(join(X_12,X_11))) = converse(join(one,join(X_12,X_11))),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(join(X_12,X_11)))]]) ).
cnf(refute_0_8798,plain,
( converse(join(one,join(X_11,X_12))) != join(one,converse(join(X_12,X_11)))
| join(one,converse(join(X_12,X_11))) != converse(join(one,join(X_12,X_11)))
| converse(join(one,join(X_11,X_12))) = converse(join(one,join(X_12,X_11))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,join(X_11,X_12))),converse(join(one,join(X_12,X_11)))) ),[0],$fot(join(one,converse(join(X_12,X_11))))]]) ).
cnf(refute_0_8799,plain,
( converse(join(one,join(X_11,X_12))) != join(one,converse(join(X_12,X_11)))
| converse(join(one,join(X_11,X_12))) = converse(join(one,join(X_12,X_11))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_12,X_11))),converse(join(one,join(X_12,X_11)))) )],[refute_0_8797,refute_0_8798]) ).
cnf(refute_0_8800,plain,
converse(join(one,join(X_11,X_12))) = converse(join(one,join(X_12,X_11))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_11,X_12))),join(one,converse(join(X_12,X_11)))) )],[refute_0_8796,refute_0_8799]) ).
cnf(refute_0_8801,plain,
( converse(join(one,join(X_11,X_12))) != converse(join(one,join(X_12,X_11)))
| converse(join(one,join(X_12,X_11))) = converse(join(one,join(X_11,X_12))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,join(X_11,X_12))))),bind(Y,$fot(converse(join(one,join(X_12,X_11)))))]]) ).
cnf(refute_0_8802,plain,
converse(join(one,join(X_12,X_11))) = converse(join(one,join(X_11,X_12))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_11,X_12))),converse(join(one,join(X_12,X_11)))) )],[refute_0_8800,refute_0_8801]) ).
cnf(refute_0_8803,plain,
converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top)))) = converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))),
inference(subst,[],[refute_0_8802:[bind(X_11,$fot(complement(top))),bind(X_12,$fot(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8804,plain,
( converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))) != converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top)))) != converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))
| converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top)))) = converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top)))))),bind(Y,$fot(converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))))),bind(Z,$fot(converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8805,plain,
( converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))) != converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top)))) = converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top)))),converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))) )],[refute_0_8803,refute_0_8804]) ).
cnf(refute_0_8806,plain,
converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top)))) = converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(top),join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))),converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8792,refute_0_8805]) ).
cnf(refute_0_8807,plain,
( converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top)))) != converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| top != converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top))))
| top = converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top))))) ),[1],$fot(converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8808,plain,
( top != converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top))))
| top = converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top)))),converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8806,refute_0_8807]) ).
cnf(refute_0_8809,plain,
top = converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(top,converse(join(one,join(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))),complement(top))))) )],[refute_0_8763,refute_0_8808]) ).
cnf(refute_0_8810,plain,
( top != converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8811,plain,
converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8809,refute_0_8810]) ).
cnf(refute_0_8812,plain,
( complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))) != meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))))
| converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) != top
| complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))) = meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_8813,plain,
( complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))) != meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))))
| complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))) = meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),top) )],[refute_0_8811,refute_0_8812]) ).
cnf(refute_0_8814,plain,
complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))) = meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))),
inference(resolve,[$cnf( $equal(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(converse(join(one,complement(join(sk1,converse(complement(join(sk1,complement(one))))))))))))) )],[refute_0_8758,refute_0_8813]) ).
cnf(refute_0_8815,plain,
complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))) = join(sk1,converse(complement(join(sk1,complement(one))))),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(join(sk1,converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8816,plain,
( complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))) != join(sk1,converse(complement(join(sk1,complement(one)))))
| complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))) != meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top))))
| join(sk1,converse(complement(join(sk1,complement(one))))) = meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top))))) ),[0],$fot(join(sk1,converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8817,plain,
( complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))) != meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top))))
| join(sk1,converse(complement(join(sk1,complement(one))))) = meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))) ),
inference(resolve,[$cnf( $equal(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),join(sk1,converse(complement(join(sk1,complement(one)))))) )],[refute_0_8815,refute_0_8816]) ).
cnf(refute_0_8818,plain,
meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8819,plain,
( complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))) != join(sk1,converse(complement(join(sk1,complement(one)))))
| meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) != meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),[1,1],$fot(join(sk1,converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8820,plain,
( complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))) != join(sk1,converse(complement(join(sk1,complement(one)))))
| meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8818,refute_0_8819]) ).
cnf(refute_0_8821,plain,
meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),join(sk1,converse(complement(join(sk1,complement(one)))))) )],[refute_0_8815,refute_0_8820]) ).
cnf(refute_0_8822,plain,
meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8823,plain,
( converse(join(one,complement(top))) != one
| meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) != meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_8824,plain,
( converse(join(one,complement(top))) != one
| meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8822,refute_0_8823]) ).
cnf(refute_0_8825,plain,
meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(top))),one) )],[refute_0_1631,refute_0_8824]) ).
cnf(refute_0_8826,plain,
( meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) != meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) != meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))
| meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))),bind(Y,$fot(meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))),bind(Z,$fot(meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8827,plain,
( meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) != meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))
| meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8825,refute_0_8826]) ).
cnf(refute_0_8828,plain,
meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) = meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))) )],[refute_0_8821,refute_0_8827]) ).
cnf(refute_0_8829,plain,
meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))) = meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(converse(join(one,complement(top))))),bind(X_7,$fot(complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8830,plain,
( meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))) != meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))
| meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) != meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))
| meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))) = meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))))),bind(Y,$fot(meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))))),bind(Z,$fot(meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8831,plain,
( meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))) != meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))
| meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))) = meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))),meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8829,refute_0_8830]) ).
cnf(refute_0_8832,plain,
meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))) = meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(top))),complement(complement(join(sk1,converse(complement(join(sk1,complement(one)))))))),meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))) )],[refute_0_8828,refute_0_8831]) ).
cnf(refute_0_8833,plain,
( join(sk1,converse(complement(join(sk1,complement(one))))) != meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top))))
| meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))) != meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))
| join(sk1,converse(complement(join(sk1,complement(one))))) = meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,converse(complement(join(sk1,complement(one))))),meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))) ),[0],$fot(meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))))]]) ).
cnf(refute_0_8834,plain,
( join(sk1,converse(complement(join(sk1,complement(one))))) != meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top))))
| join(sk1,converse(complement(join(sk1,complement(one))))) = meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top)))),meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))) )],[refute_0_8832,refute_0_8833]) ).
cnf(refute_0_8835,plain,
( complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))) != meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top))))
| join(sk1,converse(complement(join(sk1,complement(one))))) = meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(join(sk1,complement(one))))),meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top))))) )],[refute_0_8817,refute_0_8834]) ).
cnf(refute_0_8836,plain,
join(sk1,converse(complement(join(sk1,complement(one))))) = meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),meet(complement(complement(join(sk1,converse(complement(join(sk1,complement(one))))))),converse(join(one,complement(top))))) )],[refute_0_8814,refute_0_8835]) ).
cnf(refute_0_8837,plain,
( join(sk1,converse(complement(join(sk1,complement(one))))) != meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))
| meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))) = join(sk1,converse(complement(join(sk1,complement(one))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,converse(complement(join(sk1,complement(one))))))),bind(Y,$fot(meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8838,plain,
meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))) = join(sk1,converse(complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(join(sk1,complement(one))))),meet(one,join(sk1,converse(complement(join(sk1,complement(one))))))) )],[refute_0_8836,refute_0_8837]) ).
cnf(refute_0_8839,plain,
( meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))) != join(sk1,converse(complement(join(sk1,complement(one)))))
| one != join(meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))
| one = join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))) ),[1,0],$fot(join(sk1,converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8840,plain,
( one != join(meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))
| one = join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))),join(sk1,converse(complement(join(sk1,complement(one)))))) )],[refute_0_8838,refute_0_8839]) ).
cnf(refute_0_8841,plain,
one = join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,join(sk1,converse(complement(join(sk1,complement(one)))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8757,refute_0_8840]) ).
cnf(refute_0_8842,plain,
join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))) = join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8843,plain,
( join(complement(one),converse(complement(join(sk1,complement(one))))) != converse(complement(meet(one,join(sk1,complement(one)))))
| join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))) != join(sk1,join(complement(one),converse(complement(join(sk1,complement(one))))))
| join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))) = join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))),join(sk1,join(complement(one),converse(complement(join(sk1,complement(one))))))) ),[1,1],$fot(converse(complement(meet(one,join(sk1,complement(one))))))]]) ).
cnf(refute_0_8844,plain,
( join(complement(one),converse(complement(join(sk1,complement(one))))) != converse(complement(meet(one,join(sk1,complement(one)))))
| join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))) = join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))),join(sk1,join(complement(one),converse(complement(join(sk1,complement(one))))))) )],[refute_0_8842,refute_0_8843]) ).
cnf(refute_0_8845,plain,
join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))) = join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(join(sk1,complement(one))))),converse(complement(meet(one,join(sk1,complement(one)))))) )],[refute_0_1768,refute_0_8844]) ).
cnf(refute_0_8846,plain,
join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))) = join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_4153:[bind(X_155,$fot(sk1)),bind(X_156,$fot(complement(one))),bind(X_157,$fot(converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8847,plain,
( join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))) != join(sk1,join(complement(one),converse(complement(join(sk1,complement(one))))))
| join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))) != join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))
| join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))) = join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))),bind(Y,$fot(join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))))),bind(Z,$fot(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8848,plain,
( join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))) != join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))
| join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))) = join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))),join(sk1,join(complement(one),converse(complement(join(sk1,complement(one))))))) )],[refute_0_8846,refute_0_8847]) ).
cnf(refute_0_8849,plain,
join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))) = join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(one),converse(complement(join(sk1,complement(one)))))),join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_8845,refute_0_8848]) ).
cnf(refute_0_8850,plain,
complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8851,plain,
( complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))) != complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))
| join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))) != join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))
| complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) ),[1,0],$fot(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8852,plain,
( join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))) != join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))
| complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) )],[refute_0_8850,refute_0_8851]) ).
cnf(refute_0_8853,plain,
complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))) = complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))),join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_8849,refute_0_8852]) ).
cnf(refute_0_8854,plain,
join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8855,plain,
( complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))) != complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))
| join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))
| join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))),join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))) ),[1,1],$fot(complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8856,plain,
( complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))) != complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))
| join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))),join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8854,refute_0_8855]) ).
cnf(refute_0_8857,plain,
join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) )],[refute_0_8853,refute_0_8856]) ).
cnf(refute_0_8858,plain,
join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))),
introduced(tautology,[refl,[$fot(join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8859,plain,
( join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))
| join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))) != join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))))
| join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))),join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))))) ),[1,1],$fot(join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8860,plain,
( join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))
| join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))),join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))))) )],[refute_0_8858,refute_0_8859]) ).
cnf(refute_0_8861,plain,
join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))) = join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))),join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) )],[refute_0_8857,refute_0_8860]) ).
cnf(refute_0_8862,plain,
join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))),
inference(subst,[],[refute_0_169:[bind(A,$fot(sk1)),bind(B,$fot(converse(complement(join(sk1,complement(one)))))),bind(C,$fot(complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8863,plain,
( join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))))
| join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))) != join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))
| join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))))),bind(Y,$fot(join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))))),bind(Z,$fot(join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))))]]) ).
cnf(refute_0_8864,plain,
( join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))) != join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))
| join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))),join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))))) )],[refute_0_8862,refute_0_8863]) ).
cnf(refute_0_8865,plain,
join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) = join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))),join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))) )],[refute_0_8861,refute_0_8864]) ).
cnf(refute_0_8866,plain,
( join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))) != join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))
| one != join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))
| one = join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))) ),[1],$fot(join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8867,plain,
( one != join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))
| one = join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one)))))))),join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))) )],[refute_0_8865,refute_0_8866]) ).
cnf(refute_0_8868,plain,
one = join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))),
inference(resolve,[$cnf( $equal(one,join(join(sk1,converse(complement(join(sk1,complement(one))))),complement(join(complement(one),join(sk1,converse(complement(join(sk1,complement(one))))))))) )],[refute_0_8841,refute_0_8867]) ).
cnf(refute_0_8869,plain,
join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(sk1))))) = join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(join(sk1,converse(complement(sk1)))))),bind(B,$fot(converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8870,plain,
join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))) = join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8871,plain,
( converse(complement(meet(one,join(sk1,complement(one))))) != converse(complement(sk1))
| join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))) != join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))
| join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))) = join(sk1,converse(complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))),join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))) ),[1,1],$fot(converse(complement(sk1)))]]) ).
cnf(refute_0_8872,plain,
( converse(complement(meet(one,join(sk1,complement(one))))) != converse(complement(sk1))
| join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))) = join(sk1,converse(complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))),join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))) )],[refute_0_8870,refute_0_8871]) ).
cnf(refute_0_8873,plain,
join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))) = join(sk1,converse(complement(sk1))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,join(sk1,complement(one))))),converse(complement(sk1))) )],[refute_0_2337,refute_0_8872]) ).
cnf(refute_0_8874,plain,
complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))) = complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))]]) ).
cnf(refute_0_8875,plain,
( complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))) != complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))
| join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))) != join(sk1,converse(complement(sk1)))
| complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))) = complement(join(sk1,converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) ),[1,0],$fot(join(sk1,converse(complement(sk1))))]]) ).
cnf(refute_0_8876,plain,
( join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))) != join(sk1,converse(complement(sk1)))
| complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))) = complement(join(sk1,converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) )],[refute_0_8874,refute_0_8875]) ).
cnf(refute_0_8877,plain,
complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))) = complement(join(sk1,converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))),join(sk1,converse(complement(sk1)))) )],[refute_0_8873,refute_0_8876]) ).
cnf(refute_0_8878,plain,
join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) = join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_8879,plain,
( complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))) != complement(join(sk1,converse(complement(sk1))))
| join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) != join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))
| join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) = join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))),join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) ),[1,1],$fot(complement(join(sk1,converse(complement(sk1)))))]]) ).
cnf(refute_0_8880,plain,
( complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))) != complement(join(sk1,converse(complement(sk1))))
| join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) = join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))),join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) )],[refute_0_8878,refute_0_8879]) ).
cnf(refute_0_8881,plain,
join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) = join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))),complement(join(sk1,converse(complement(sk1))))) )],[refute_0_8877,refute_0_8880]) ).
cnf(refute_0_8882,plain,
( join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) != join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(sk1)))))
| join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(sk1))))) != join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))
| join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) = join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))),bind(Y,$fot(join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(sk1))))))),bind(Z,$fot(join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8883,plain,
( join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(sk1))))) != join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))
| join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) = join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))),join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(sk1)))))) )],[refute_0_8881,refute_0_8882]) ).
cnf(refute_0_8884,plain,
join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) = join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(sk1))))),join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) )],[refute_0_8869,refute_0_8883]) ).
cnf(refute_0_8885,plain,
join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) = join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))),
introduced(tautology,[refl,[$fot(join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))))]]) ).
cnf(refute_0_8886,plain,
( join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) != join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))
| join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) != join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))
| join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) = join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))),join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))) ),[1,1],$fot(join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8887,plain,
( join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))) != join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))
| join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) = join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))),join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))) )],[refute_0_8885,refute_0_8886]) ).
cnf(refute_0_8888,plain,
join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) = join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))),join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) )],[refute_0_8884,refute_0_8887]) ).
cnf(refute_0_8889,plain,
( join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))) != join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))))
| one != join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))
| one = join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))) ),[1],$fot(join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8890,plain,
( one != join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))
| one = join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one))))))))),join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))))) )],[refute_0_8888,refute_0_8889]) ).
cnf(refute_0_8891,plain,
one = join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(one,join(sk1,join(converse(complement(join(sk1,complement(one)))),complement(join(sk1,converse(complement(meet(one,join(sk1,complement(one)))))))))) )],[refute_0_8868,refute_0_8890]) ).
cnf(refute_0_8892,plain,
join(complement(join(sk1,converse(complement(sk1)))),converse(meet(one,complement(sk1)))) = join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(meet(one,complement(sk1))))),bind(B,$fot(complement(join(sk1,converse(complement(sk1))))))]]) ).
cnf(refute_0_8893,plain,
join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))) = join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_8894,plain,
( converse(complement(join(sk1,complement(one)))) != converse(meet(one,complement(sk1)))
| join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))) != join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))
| join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))) = join(complement(join(sk1,converse(complement(sk1)))),converse(meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))),join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) ),[1,1],$fot(converse(meet(one,complement(sk1))))]]) ).
cnf(refute_0_8895,plain,
( converse(complement(join(sk1,complement(one)))) != converse(meet(one,complement(sk1)))
| join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))) = join(complement(join(sk1,converse(complement(sk1)))),converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))),join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) )],[refute_0_8893,refute_0_8894]) ).
cnf(refute_0_8896,plain,
join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))) = join(complement(join(sk1,converse(complement(sk1)))),converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(join(sk1,complement(one)))),converse(meet(one,complement(sk1)))) )],[refute_0_2511,refute_0_8895]) ).
cnf(refute_0_8897,plain,
( join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))) != join(complement(join(sk1,converse(complement(sk1)))),converse(meet(one,complement(sk1))))
| join(complement(join(sk1,converse(complement(sk1)))),converse(meet(one,complement(sk1)))) != join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))
| join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))) = join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))))),bind(Y,$fot(join(complement(join(sk1,converse(complement(sk1)))),converse(meet(one,complement(sk1)))))),bind(Z,$fot(join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))))]]) ).
cnf(refute_0_8898,plain,
( join(complement(join(sk1,converse(complement(sk1)))),converse(meet(one,complement(sk1)))) != join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))
| join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))) = join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))),join(complement(join(sk1,converse(complement(sk1)))),converse(meet(one,complement(sk1))))) )],[refute_0_8896,refute_0_8897]) ).
cnf(refute_0_8899,plain,
join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))) = join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,converse(complement(sk1)))),converse(meet(one,complement(sk1)))),join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) )],[refute_0_8892,refute_0_8898]) ).
cnf(refute_0_8900,plain,
join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) = join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_8901,plain,
( join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))) != join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))
| join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) != join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))))
| join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) = join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))),join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))))) ),[1,1],$fot(join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))))]]) ).
cnf(refute_0_8902,plain,
( join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))) != join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))
| join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) = join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))),join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))))) )],[refute_0_8900,refute_0_8901]) ).
cnf(refute_0_8903,plain,
join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) = join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))),join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) )],[refute_0_8899,refute_0_8902]) ).
cnf(refute_0_8904,plain,
( join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))) != join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))))
| one != join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))))
| one = join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))))) ),[1],$fot(join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))))]]) ).
cnf(refute_0_8905,plain,
( one != join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))))
| one = join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one)))))),join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))))) )],[refute_0_8903,refute_0_8904]) ).
cnf(refute_0_8906,plain,
one = join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))),
inference(resolve,[$cnf( $equal(one,join(sk1,join(complement(join(sk1,converse(complement(sk1)))),converse(complement(join(sk1,complement(one))))))) )],[refute_0_8891,refute_0_8905]) ).
cnf(refute_0_8907,plain,
meet(converse(sk1),complement(sk1)) = meet(complement(sk1),converse(sk1)),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(sk1))),bind(X_7,$fot(converse(sk1)))]]) ).
cnf(refute_0_8908,plain,
complement(join(sk1,complement(converse(sk1)))) = meet(converse(sk1),complement(sk1)),
inference(subst,[],[refute_0_3735:[bind(X_298,$fot(converse(sk1))),bind(X_299,$fot(sk1))]]) ).
cnf(refute_0_8909,plain,
( complement(join(sk1,complement(converse(sk1)))) != meet(converse(sk1),complement(sk1))
| meet(converse(sk1),complement(sk1)) != meet(complement(sk1),converse(sk1))
| complement(join(sk1,complement(converse(sk1)))) = meet(complement(sk1),converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(sk1,complement(converse(sk1)))))),bind(Y,$fot(meet(converse(sk1),complement(sk1)))),bind(Z,$fot(meet(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_8910,plain,
( meet(converse(sk1),complement(sk1)) != meet(complement(sk1),converse(sk1))
| complement(join(sk1,complement(converse(sk1)))) = meet(complement(sk1),converse(sk1)) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(converse(sk1)))),meet(converse(sk1),complement(sk1))) )],[refute_0_8908,refute_0_8909]) ).
cnf(refute_0_8911,plain,
complement(join(sk1,complement(converse(sk1)))) = meet(complement(sk1),converse(sk1)),
inference(resolve,[$cnf( $equal(meet(converse(sk1),complement(sk1)),meet(complement(sk1),converse(sk1))) )],[refute_0_8907,refute_0_8910]) ).
cnf(refute_0_8912,plain,
join(sk1,converse(complement(sk1))) = join(sk1,converse(complement(sk1))),
introduced(tautology,[refl,[$fot(join(sk1,converse(complement(sk1))))]]) ).
cnf(refute_0_8913,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| join(sk1,converse(complement(sk1))) != join(sk1,converse(complement(sk1)))
| join(sk1,converse(complement(sk1))) = join(sk1,complement(converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(complement(sk1))),join(sk1,converse(complement(sk1)))) ),[1,1],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_8914,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| join(sk1,converse(complement(sk1))) = join(sk1,complement(converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(sk1))),join(sk1,converse(complement(sk1)))) )],[refute_0_8912,refute_0_8913]) ).
cnf(refute_0_8915,plain,
join(sk1,converse(complement(sk1))) = join(sk1,complement(converse(sk1))),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_4366,refute_0_8914]) ).
cnf(refute_0_8916,plain,
complement(join(sk1,converse(complement(sk1)))) = complement(join(sk1,converse(complement(sk1)))),
introduced(tautology,[refl,[$fot(complement(join(sk1,converse(complement(sk1)))))]]) ).
cnf(refute_0_8917,plain,
( complement(join(sk1,converse(complement(sk1)))) != complement(join(sk1,converse(complement(sk1))))
| join(sk1,converse(complement(sk1))) != join(sk1,complement(converse(sk1)))
| complement(join(sk1,converse(complement(sk1)))) = complement(join(sk1,complement(converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,converse(complement(sk1)))),complement(join(sk1,converse(complement(sk1))))) ),[1,0],$fot(join(sk1,complement(converse(sk1))))]]) ).
cnf(refute_0_8918,plain,
( join(sk1,converse(complement(sk1))) != join(sk1,complement(converse(sk1)))
| complement(join(sk1,converse(complement(sk1)))) = complement(join(sk1,complement(converse(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(complement(sk1)))),complement(join(sk1,converse(complement(sk1))))) )],[refute_0_8916,refute_0_8917]) ).
cnf(refute_0_8919,plain,
complement(join(sk1,converse(complement(sk1)))) = complement(join(sk1,complement(converse(sk1)))),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(sk1))),join(sk1,complement(converse(sk1)))) )],[refute_0_8915,refute_0_8918]) ).
cnf(refute_0_8920,plain,
( complement(join(sk1,complement(converse(sk1)))) != meet(complement(sk1),converse(sk1))
| complement(join(sk1,converse(complement(sk1)))) != complement(join(sk1,complement(converse(sk1))))
| complement(join(sk1,converse(complement(sk1)))) = meet(complement(sk1),converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(sk1,converse(complement(sk1)))))),bind(Y,$fot(complement(join(sk1,complement(converse(sk1)))))),bind(Z,$fot(meet(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_8921,plain,
( complement(join(sk1,complement(converse(sk1)))) != meet(complement(sk1),converse(sk1))
| complement(join(sk1,converse(complement(sk1)))) = meet(complement(sk1),converse(sk1)) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(complement(sk1)))),complement(join(sk1,complement(converse(sk1))))) )],[refute_0_8919,refute_0_8920]) ).
cnf(refute_0_8922,plain,
complement(join(sk1,converse(complement(sk1)))) = meet(complement(sk1),converse(sk1)),
inference(resolve,[$cnf( $equal(complement(join(sk1,complement(converse(sk1)))),meet(complement(sk1),converse(sk1))) )],[refute_0_8911,refute_0_8921]) ).
cnf(refute_0_8923,plain,
join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))) = join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))))]]) ).
cnf(refute_0_8924,plain,
( complement(join(sk1,converse(complement(sk1)))) != meet(complement(sk1),converse(sk1))
| join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))) != join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))
| join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))) = join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))),join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) ),[1,1],$fot(meet(complement(sk1),converse(sk1)))]]) ).
cnf(refute_0_8925,plain,
( complement(join(sk1,converse(complement(sk1)))) != meet(complement(sk1),converse(sk1))
| join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))) = join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))),join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) )],[refute_0_8923,refute_0_8924]) ).
cnf(refute_0_8926,plain,
join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))) = join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(complement(sk1)))),meet(complement(sk1),converse(sk1))) )],[refute_0_8922,refute_0_8925]) ).
cnf(refute_0_8927,plain,
join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) = join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))),
introduced(tautology,[refl,[$fot(join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))))]]) ).
cnf(refute_0_8928,plain,
( join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))) != join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))
| join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) != join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))))
| join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) = join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))),join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))))) ),[1,1],$fot(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_8929,plain,
( join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))) != join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))
| join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) = join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))),join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))))) )],[refute_0_8927,refute_0_8928]) ).
cnf(refute_0_8930,plain,
join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) = join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))),join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))) )],[refute_0_8926,refute_0_8929]) ).
cnf(refute_0_8931,plain,
( join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))) != join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))
| one != join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))))
| one = join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))))) ),[1],$fot(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_8932,plain,
( one != join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))))
| one = join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1)))))),join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))) )],[refute_0_8930,refute_0_8931]) ).
cnf(refute_0_8933,plain,
one = join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))),
inference(resolve,[$cnf( $equal(one,join(sk1,join(converse(meet(one,complement(sk1))),complement(join(sk1,converse(complement(sk1))))))) )],[refute_0_8906,refute_0_8932]) ).
cnf(refute_0_8934,plain,
( one != join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))
| join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_8935,plain,
join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))) = one,
inference(resolve,[$cnf( $equal(one,join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))) )],[refute_0_8933,refute_0_8934]) ).
cnf(refute_0_8936,plain,
( join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))) != top
| join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))) != one
| join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))),top) ),[0,1,0,0],$fot(one)]]) ).
cnf(refute_0_8937,plain,
( join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))) != top
| join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) = top ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))),one) )],[refute_0_8935,refute_0_8936]) ).
cnf(refute_0_8938,plain,
join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))),top) )],[refute_0_8756,refute_0_8937]) ).
cnf(refute_0_8939,plain,
join(converse(join(sk1,meet(complement(sk1),converse(sk1)))),complement(sk1)) = join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))),
inference(subst,[],[refute_0_3646:[bind(X_190,$fot(converse(join(sk1,meet(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_8940,plain,
join(A,join(complement(one),meet(one,complement(sk1)))) = join(complement(one),join(meet(one,complement(sk1)),A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(complement(one))),bind(X_32,$fot(meet(one,complement(sk1))))]]) ).
cnf(refute_0_8941,plain,
( join(A,join(complement(one),meet(one,complement(sk1)))) != join(complement(one),join(meet(one,complement(sk1)),A))
| join(complement(one),meet(one,complement(sk1))) != complement(sk1)
| join(A,complement(sk1)) = join(complement(one),join(meet(one,complement(sk1)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(complement(one),meet(one,complement(sk1)))),join(complement(one),join(meet(one,complement(sk1)),A))) ),[0,1],$fot(complement(sk1))]]) ).
cnf(refute_0_8942,plain,
( join(A,join(complement(one),meet(one,complement(sk1)))) != join(complement(one),join(meet(one,complement(sk1)),A))
| join(A,complement(sk1)) = join(complement(one),join(meet(one,complement(sk1)),A)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(sk1))),complement(sk1)) )],[refute_0_2235,refute_0_8941]) ).
cnf(refute_0_8943,plain,
join(A,complement(sk1)) = join(complement(one),join(meet(one,complement(sk1)),A)),
inference(resolve,[$cnf( $equal(join(A,join(complement(one),meet(one,complement(sk1)))),join(complement(one),join(meet(one,complement(sk1)),A))) )],[refute_0_8940,refute_0_8942]) ).
cnf(refute_0_8944,plain,
( join(A,complement(sk1)) != join(complement(one),join(meet(one,complement(sk1)),A))
| join(complement(one),join(meet(one,complement(sk1)),A)) = join(A,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,complement(sk1)))),bind(Y,$fot(join(complement(one),join(meet(one,complement(sk1)),A))))]]) ).
cnf(refute_0_8945,plain,
join(complement(one),join(meet(one,complement(sk1)),A)) = join(A,complement(sk1)),
inference(resolve,[$cnf( $equal(join(A,complement(sk1)),join(complement(one),join(meet(one,complement(sk1)),A))) )],[refute_0_8943,refute_0_8944]) ).
cnf(refute_0_8946,plain,
join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) = join(converse(join(sk1,meet(complement(sk1),converse(sk1)))),complement(sk1)),
inference(subst,[],[refute_0_8945:[bind(A,$fot(converse(join(sk1,meet(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_8947,plain,
( join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) != join(converse(join(sk1,meet(complement(sk1),converse(sk1)))),complement(sk1))
| join(converse(join(sk1,meet(complement(sk1),converse(sk1)))),complement(sk1)) != join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))
| join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) = join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))))),bind(Y,$fot(join(converse(join(sk1,meet(complement(sk1),converse(sk1)))),complement(sk1)))),bind(Z,$fot(join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_8948,plain,
( join(converse(join(sk1,meet(complement(sk1),converse(sk1)))),complement(sk1)) != join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))
| join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) = join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))),join(converse(join(sk1,meet(complement(sk1),converse(sk1)))),complement(sk1))) )],[refute_0_8946,refute_0_8947]) ).
cnf(refute_0_8949,plain,
join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) = join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))),
inference(resolve,[$cnf( $equal(join(converse(join(sk1,meet(complement(sk1),converse(sk1)))),complement(sk1)),join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) )],[refute_0_8939,refute_0_8948]) ).
cnf(refute_0_8950,plain,
join(meet(one,complement(sk1)),converse(join(meet(complement(sk1),converse(sk1)),sk1))) = join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1))))),
inference(subst,[],[refute_0_2734:[bind(A,$fot(meet(one,complement(sk1)))),bind(X_25,$fot(meet(complement(sk1),converse(sk1)))),bind(X_26,$fot(sk1))]]) ).
cnf(refute_0_8951,plain,
converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))) = join(meet(one,complement(sk1)),converse(join(meet(complement(sk1),converse(sk1)),sk1))),
inference(subst,[],[refute_0_2789:[bind(A,$fot(meet(one,complement(sk1)))),bind(X_155,$fot(sk1)),bind(X_157,$fot(meet(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_8952,plain,
( converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))) != join(meet(one,complement(sk1)),converse(join(meet(complement(sk1),converse(sk1)),sk1)))
| join(meet(one,complement(sk1)),converse(join(meet(complement(sk1),converse(sk1)),sk1))) != join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))
| converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))) = join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))),bind(Y,$fot(join(meet(one,complement(sk1)),converse(join(meet(complement(sk1),converse(sk1)),sk1))))),bind(Z,$fot(join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_8953,plain,
( join(meet(one,complement(sk1)),converse(join(meet(complement(sk1),converse(sk1)),sk1))) != join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))
| converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))) = join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))),join(meet(one,complement(sk1)),converse(join(meet(complement(sk1),converse(sk1)),sk1)))) )],[refute_0_8951,refute_0_8952]) ).
cnf(refute_0_8954,plain,
converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))) = join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(sk1)),converse(join(meet(complement(sk1),converse(sk1)),sk1))),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) )],[refute_0_8950,refute_0_8953]) ).
cnf(refute_0_8955,plain,
join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))),
introduced(tautology,[refl,[$fot(join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_8956,plain,
( converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))) != join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))
| join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) != join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))
| join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))),join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))) ),[1,1],$fot(join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_8957,plain,
( converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))) != join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))
| join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))),join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))) )],[refute_0_8955,refute_0_8956]) ).
cnf(refute_0_8958,plain,
join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) )],[refute_0_8954,refute_0_8957]) ).
cnf(refute_0_8959,plain,
join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_8960,plain,
( complement(converse(one)) != complement(one)
| join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) != join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))
| join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))),join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_8961,plain,
( complement(converse(one)) != complement(one)
| join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))),join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))) )],[refute_0_8959,refute_0_8960]) ).
cnf(refute_0_8962,plain,
join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(one)) )],[refute_0_1729,refute_0_8961]) ).
cnf(refute_0_8963,plain,
( join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) != join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))
| join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) != join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1))))))
| join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))))),bind(Y,$fot(join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))))),bind(Z,$fot(join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1))))))))]]) ).
cnf(refute_0_8964,plain,
( join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) != join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1))))))
| join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))),join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))) )],[refute_0_8962,refute_0_8963]) ).
cnf(refute_0_8965,plain,
join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))),join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1))))))) )],[refute_0_8958,refute_0_8964]) ).
cnf(refute_0_8966,plain,
( join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) != join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1))))))
| join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) != join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))
| join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))))),bind(Y,$fot(join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))))),bind(Z,$fot(join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_8967,plain,
( join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) != join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))
| join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))),join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1))))))) )],[refute_0_8965,refute_0_8966]) ).
cnf(refute_0_8968,plain,
join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) = join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(sk1)),converse(join(sk1,meet(complement(sk1),converse(sk1)))))),join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) )],[refute_0_8949,refute_0_8967]) ).
cnf(refute_0_8969,plain,
join(complement(converse(one)),converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1))) = join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))),
inference(subst,[],[refute_0_2734:[bind(A,$fot(complement(converse(one)))),bind(X_25,$fot(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))),bind(X_26,$fot(sk1))]]) ).
cnf(refute_0_8970,plain,
join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) = join(complement(converse(one)),converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)))),bind(B,$fot(complement(converse(one))))]]) ).
cnf(refute_0_8971,plain,
( join(complement(converse(one)),converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1))) != join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))
| join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) != join(complement(converse(one)),converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)))
| join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) = join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))))),bind(Y,$fot(join(complement(converse(one)),converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1))))),bind(Z,$fot(join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))))]]) ).
cnf(refute_0_8972,plain,
( join(complement(converse(one)),converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1))) != join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))
| join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) = join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))),join(complement(converse(one)),converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)))) )],[refute_0_8970,refute_0_8971]) ).
cnf(refute_0_8973,plain,
join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) = join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1))),join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))) )],[refute_0_8969,refute_0_8972]) ).
cnf(refute_0_8974,plain,
( join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) != join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))
| join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) != join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))
| join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) = join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))))),bind(Y,$fot(join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))))),bind(Z,$fot(join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_8975,plain,
( join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))) != join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))
| join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) = join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))),join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))))))) )],[refute_0_8973,refute_0_8974]) ).
cnf(refute_0_8976,plain,
join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) = join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),converse(join(sk1,join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1)))))),join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) )],[refute_0_8968,refute_0_8975]) ).
cnf(refute_0_8977,plain,
( join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) != join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))
| join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) != top
| join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))),top) ),[0],$fot(join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_8978,plain,
( join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))) != top
| join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))),join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) )],[refute_0_8976,refute_0_8977]) ).
cnf(refute_0_8979,plain,
join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(join(converse(meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))),sk1)),complement(converse(one))),top) )],[refute_0_8938,refute_0_8978]) ).
cnf(refute_0_8980,plain,
join(sk1,zero) = sk1,
inference(subst,[],[refute_0_940:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_8981,plain,
meet(converse(join(sk1,complement(one))),complement(join(sk1,converse(join(sk1,complement(one)))))) = zero,
inference(subst,[],[refute_0_7417:[bind(X_298,$fot(converse(join(sk1,complement(one))))),bind(X_40,$fot(sk1))]]) ).
cnf(refute_0_8982,plain,
meet(one,complement(join(sk1,converse(sk1)))) = complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(one,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_8983,plain,
complement(meet(one,complement(join(sk1,converse(sk1))))) = join(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))),
inference(subst,[],[refute_0_1502:[bind(X_97,$fot(complement(meet(one,complement(join(sk1,converse(sk1))))))),bind(X_98,$fot(one))]]) ).
cnf(refute_0_8984,plain,
meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) = complement(complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_8985,plain,
complement(join(sk1,converse(sk1))) = join(meet(complement(one),complement(join(sk1,converse(sk1)))),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))),
inference(subst,[],[refute_0_1502:[bind(X_97,$fot(complement(join(sk1,converse(sk1))))),bind(X_98,$fot(complement(one)))]]) ).
cnf(refute_0_8986,plain,
complement(one) = meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(join(one,complement(join(sk1,converse(sk1))))))),
inference(subst,[],[refute_0_1562:[bind(X_135,$fot(complement(join(sk1,converse(sk1))))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_8987,plain,
join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(join(sk1,converse(join(one,complement(join(sk1,converse(sk1)))))))))) = top,
inference(subst,[],[refute_0_7459:[bind(X_79,$fot(converse(join(one,complement(join(sk1,converse(sk1)))))))]]) ).
cnf(refute_0_8988,plain,
top = join(sk1,converse(join(one,complement(join(sk1,converse(sk1)))))),
inference(subst,[],[refute_0_6912:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_8989,plain,
( top != join(sk1,converse(join(one,complement(join(sk1,converse(sk1))))))
| join(sk1,converse(join(one,complement(join(sk1,converse(sk1)))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(sk1,converse(join(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_8990,plain,
join(sk1,converse(join(one,complement(join(sk1,converse(sk1)))))) = top,
inference(resolve,[$cnf( $equal(top,join(sk1,converse(join(one,complement(join(sk1,converse(sk1))))))) )],[refute_0_8988,refute_0_8989]) ).
cnf(refute_0_8991,plain,
( join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(join(sk1,converse(join(one,complement(join(sk1,converse(sk1)))))))))) != top
| join(sk1,converse(join(one,complement(join(sk1,converse(sk1)))))) != top
| join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(join(sk1,converse(join(one,complement(join(sk1,converse(sk1)))))))))),top) ),[0,1,1,0,0],$fot(top)]]) ).
cnf(refute_0_8992,plain,
( join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(join(sk1,converse(join(one,complement(join(sk1,converse(sk1)))))))))) != top
| join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))) = top ),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(one,complement(join(sk1,converse(sk1)))))),top) )],[refute_0_8990,refute_0_8991]) ).
cnf(refute_0_8993,plain,
join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))) = top,
inference(resolve,[$cnf( $equal(join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(join(sk1,converse(join(one,complement(join(sk1,converse(sk1)))))))))),top) )],[refute_0_8987,refute_0_8992]) ).
cnf(refute_0_8994,plain,
join(one,join(one,complement(join(sk1,converse(sk1))))) = join(one,complement(join(sk1,converse(sk1)))),
inference(subst,[],[refute_0_1491:[bind(C,$fot(complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_8995,plain,
join(zero,complement(join(sk1,converse(sk1)))) = complement(join(sk1,converse(sk1))),
inference(subst,[],[refute_0_670:[bind(X_97,$fot(complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_8996,plain,
join(one,join(zero,complement(join(sk1,converse(sk1))))) = join(one,join(zero,complement(join(sk1,converse(sk1))))),
introduced(tautology,[refl,[$fot(join(one,join(zero,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_8997,plain,
( join(one,join(zero,complement(join(sk1,converse(sk1))))) != join(one,join(zero,complement(join(sk1,converse(sk1)))))
| join(zero,complement(join(sk1,converse(sk1)))) != complement(join(sk1,converse(sk1)))
| join(one,join(zero,complement(join(sk1,converse(sk1))))) = join(one,complement(join(sk1,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(zero,complement(join(sk1,converse(sk1))))),join(one,join(zero,complement(join(sk1,converse(sk1)))))) ),[1,1],$fot(complement(join(sk1,converse(sk1))))]]) ).
cnf(refute_0_8998,plain,
( join(zero,complement(join(sk1,converse(sk1)))) != complement(join(sk1,converse(sk1)))
| join(one,join(zero,complement(join(sk1,converse(sk1))))) = join(one,complement(join(sk1,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,join(zero,complement(join(sk1,converse(sk1))))),join(one,join(zero,complement(join(sk1,converse(sk1)))))) )],[refute_0_8996,refute_0_8997]) ).
cnf(refute_0_8999,plain,
join(one,join(zero,complement(join(sk1,converse(sk1))))) = join(one,complement(join(sk1,converse(sk1)))),
inference(resolve,[$cnf( $equal(join(zero,complement(join(sk1,converse(sk1)))),complement(join(sk1,converse(sk1)))) )],[refute_0_8995,refute_0_8998]) ).
cnf(refute_0_9000,plain,
join(zero,join(one,complement(join(sk1,converse(sk1))))) = join(one,join(zero,complement(join(sk1,converse(sk1))))),
inference(subst,[],[refute_0_4153:[bind(X_155,$fot(one)),bind(X_156,$fot(zero)),bind(X_157,$fot(complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_9001,plain,
( join(one,join(zero,complement(join(sk1,converse(sk1))))) != join(one,complement(join(sk1,converse(sk1))))
| join(zero,join(one,complement(join(sk1,converse(sk1))))) != join(one,join(zero,complement(join(sk1,converse(sk1)))))
| join(zero,join(one,complement(join(sk1,converse(sk1))))) = join(one,complement(join(sk1,converse(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,join(one,complement(join(sk1,converse(sk1))))))),bind(Y,$fot(join(one,join(zero,complement(join(sk1,converse(sk1))))))),bind(Z,$fot(join(one,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9002,plain,
( join(one,join(zero,complement(join(sk1,converse(sk1))))) != join(one,complement(join(sk1,converse(sk1))))
| join(zero,join(one,complement(join(sk1,converse(sk1))))) = join(one,complement(join(sk1,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(one,complement(join(sk1,converse(sk1))))),join(one,join(zero,complement(join(sk1,converse(sk1)))))) )],[refute_0_9000,refute_0_9001]) ).
cnf(refute_0_9003,plain,
join(zero,join(one,complement(join(sk1,converse(sk1))))) = join(one,complement(join(sk1,converse(sk1)))),
inference(resolve,[$cnf( $equal(join(one,join(zero,complement(join(sk1,converse(sk1))))),join(one,complement(join(sk1,converse(sk1))))) )],[refute_0_8999,refute_0_9002]) ).
cnf(refute_0_9004,plain,
converse(converse(join(one,complement(join(sk1,converse(sk1)))))) = join(one,complement(join(sk1,converse(sk1)))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9005,plain,
join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))),
introduced(tautology,[refl,[$fot(join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_9006,plain,
( converse(converse(join(one,complement(join(sk1,converse(sk1)))))) != join(one,complement(join(sk1,converse(sk1))))
| join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))) != join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1)))))))
| join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(zero,join(one,complement(join(sk1,converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))),join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) ),[1,1],$fot(join(one,complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_9007,plain,
( converse(converse(join(one,complement(join(sk1,converse(sk1)))))) != join(one,complement(join(sk1,converse(sk1))))
| join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(zero,join(one,complement(join(sk1,converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))),join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9005,refute_0_9006]) ).
cnf(refute_0_9008,plain,
join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(zero,join(one,complement(join(sk1,converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),join(one,complement(join(sk1,converse(sk1))))) )],[refute_0_9004,refute_0_9007]) ).
cnf(refute_0_9009,plain,
join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_9010,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) != join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))
| join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))),join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_9011,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))),join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9009,refute_0_9010]) ).
cnf(refute_0_9012,plain,
join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_948,refute_0_9011]) ).
cnf(refute_0_9013,plain,
( join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) != join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1)))))))
| join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))) != join(zero,join(one,complement(join(sk1,converse(sk1)))))
| join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(zero,join(one,complement(join(sk1,converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))))),bind(Y,$fot(join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))))),bind(Z,$fot(join(zero,join(one,complement(join(sk1,converse(sk1)))))))]]) ).
cnf(refute_0_9014,plain,
( join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))) != join(zero,join(one,complement(join(sk1,converse(sk1)))))
| join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(zero,join(one,complement(join(sk1,converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))),join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9012,refute_0_9013]) ).
cnf(refute_0_9015,plain,
join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(zero,join(one,complement(join(sk1,converse(sk1))))),
inference(resolve,[$cnf( $equal(join(zero,converse(converse(join(one,complement(join(sk1,converse(sk1))))))),join(zero,join(one,complement(join(sk1,converse(sk1)))))) )],[refute_0_9008,refute_0_9014]) ).
cnf(refute_0_9016,plain,
( join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) != join(zero,join(one,complement(join(sk1,converse(sk1)))))
| join(zero,join(one,complement(join(sk1,converse(sk1))))) != join(one,complement(join(sk1,converse(sk1))))
| join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(one,complement(join(sk1,converse(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))))),bind(Y,$fot(join(zero,join(one,complement(join(sk1,converse(sk1))))))),bind(Z,$fot(join(one,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9017,plain,
( join(zero,join(one,complement(join(sk1,converse(sk1))))) != join(one,complement(join(sk1,converse(sk1))))
| join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(one,complement(join(sk1,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))),join(zero,join(one,complement(join(sk1,converse(sk1)))))) )],[refute_0_9015,refute_0_9016]) ).
cnf(refute_0_9018,plain,
join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) = join(one,complement(join(sk1,converse(sk1)))),
inference(resolve,[$cnf( $equal(join(zero,join(one,complement(join(sk1,converse(sk1))))),join(one,complement(join(sk1,converse(sk1))))) )],[refute_0_9003,refute_0_9017]) ).
cnf(refute_0_9019,plain,
join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) = join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))))]]) ).
cnf(refute_0_9020,plain,
( join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) != join(one,complement(join(sk1,converse(sk1))))
| join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) != join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))))
| join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) = join(one,join(one,complement(join(sk1,converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))),join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))))) ),[1,1],$fot(join(one,complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_9021,plain,
( join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))) != join(one,complement(join(sk1,converse(sk1))))
| join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) = join(one,join(one,complement(join(sk1,converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))),join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))))) )],[refute_0_9019,refute_0_9020]) ).
cnf(refute_0_9022,plain,
join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) = join(one,join(one,complement(join(sk1,converse(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))),join(one,complement(join(sk1,converse(sk1))))) )],[refute_0_9018,refute_0_9021]) ).
cnf(refute_0_9023,plain,
( join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) != join(one,join(one,complement(join(sk1,converse(sk1)))))
| join(one,join(one,complement(join(sk1,converse(sk1))))) != join(one,complement(join(sk1,converse(sk1))))
| join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) = join(one,complement(join(sk1,converse(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))))),bind(Y,$fot(join(one,join(one,complement(join(sk1,converse(sk1))))))),bind(Z,$fot(join(one,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9024,plain,
( join(one,join(one,complement(join(sk1,converse(sk1))))) != join(one,complement(join(sk1,converse(sk1))))
| join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) = join(one,complement(join(sk1,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))),join(one,join(one,complement(join(sk1,converse(sk1)))))) )],[refute_0_9022,refute_0_9023]) ).
cnf(refute_0_9025,plain,
join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) = join(one,complement(join(sk1,converse(sk1)))),
inference(resolve,[$cnf( $equal(join(one,join(one,complement(join(sk1,converse(sk1))))),join(one,complement(join(sk1,converse(sk1))))) )],[refute_0_8994,refute_0_9024]) ).
cnf(refute_0_9026,plain,
join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))) = join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))),
inference(subst,[],[refute_0_6976:[bind(X_155,$fot(complement(converse(top)))),bind(X_157,$fot(converse(converse(join(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_9027,plain,
( join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) != join(one,complement(join(sk1,converse(sk1))))
| join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))) != join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))))
| join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))) = join(one,complement(join(sk1,converse(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))))),bind(Y,$fot(join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))))),bind(Z,$fot(join(one,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9028,plain,
( join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))) != join(one,complement(join(sk1,converse(sk1))))
| join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))) = join(one,complement(join(sk1,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))),join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1))))))))) )],[refute_0_9026,refute_0_9027]) ).
cnf(refute_0_9029,plain,
join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))) = join(one,complement(join(sk1,converse(sk1)))),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(top)),converse(converse(join(one,complement(join(sk1,converse(sk1)))))))),join(one,complement(join(sk1,converse(sk1))))) )],[refute_0_9025,refute_0_9028]) ).
cnf(refute_0_9030,plain,
( join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))) != join(one,complement(join(sk1,converse(sk1))))
| join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))) != top
| join(one,complement(join(sk1,converse(sk1)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))),top) ),[0],$fot(join(one,complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_9031,plain,
( join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))) != top
| join(one,complement(join(sk1,converse(sk1)))) = top ),
inference(resolve,[$cnf( $equal(join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))),join(one,complement(join(sk1,converse(sk1))))) )],[refute_0_9029,refute_0_9030]) ).
cnf(refute_0_9032,plain,
join(one,complement(join(sk1,converse(sk1)))) = top,
inference(resolve,[$cnf( $equal(join(one,join(converse(converse(join(one,complement(join(sk1,converse(sk1)))))),complement(converse(top)))),top) )],[refute_0_8993,refute_0_9031]) ).
cnf(refute_0_9033,plain,
( complement(one) != meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(join(one,complement(join(sk1,converse(sk1)))))))
| join(one,complement(join(sk1,converse(sk1)))) != top
| complement(one) = meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(join(one,complement(join(sk1,converse(sk1)))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_9034,plain,
( complement(one) != meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(join(one,complement(join(sk1,converse(sk1)))))))
| complement(one) = meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(sk1,converse(sk1)))),top) )],[refute_0_9032,refute_0_9033]) ).
cnf(refute_0_9035,plain,
complement(one) = meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(join(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_8986,refute_0_9034]) ).
cnf(refute_0_9036,plain,
meet(join(sk1,converse(sk1)),top) = join(sk1,converse(sk1)),
inference(subst,[],[refute_0_1906:[bind(X_97,$fot(join(sk1,converse(sk1))))]]) ).
cnf(refute_0_9037,plain,
complement(meet(join(sk1,converse(sk1)),top)) = complement(meet(join(sk1,converse(sk1)),top)),
introduced(tautology,[refl,[$fot(complement(meet(join(sk1,converse(sk1)),top)))]]) ).
cnf(refute_0_9038,plain,
( complement(meet(join(sk1,converse(sk1)),top)) != complement(meet(join(sk1,converse(sk1)),top))
| meet(join(sk1,converse(sk1)),top) != join(sk1,converse(sk1))
| complement(meet(join(sk1,converse(sk1)),top)) = complement(join(sk1,converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(sk1,converse(sk1)),top)),complement(meet(join(sk1,converse(sk1)),top))) ),[1,0],$fot(join(sk1,converse(sk1)))]]) ).
cnf(refute_0_9039,plain,
( meet(join(sk1,converse(sk1)),top) != join(sk1,converse(sk1))
| complement(meet(join(sk1,converse(sk1)),top)) = complement(join(sk1,converse(sk1))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,converse(sk1)),top)),complement(meet(join(sk1,converse(sk1)),top))) )],[refute_0_9037,refute_0_9038]) ).
cnf(refute_0_9040,plain,
complement(meet(join(sk1,converse(sk1)),top)) = complement(join(sk1,converse(sk1))),
inference(resolve,[$cnf( $equal(meet(join(sk1,converse(sk1)),top),join(sk1,converse(sk1))) )],[refute_0_9036,refute_0_9039]) ).
cnf(refute_0_9041,plain,
join(complement(join(sk1,converse(sk1))),complement(top)) = complement(meet(join(sk1,converse(sk1)),top)),
inference(subst,[],[refute_0_1144:[bind(A,$fot(join(sk1,converse(sk1)))),bind(B,$fot(top))]]) ).
cnf(refute_0_9042,plain,
( complement(meet(join(sk1,converse(sk1)),top)) != complement(join(sk1,converse(sk1)))
| join(complement(join(sk1,converse(sk1))),complement(top)) != complement(meet(join(sk1,converse(sk1)),top))
| join(complement(join(sk1,converse(sk1))),complement(top)) = complement(join(sk1,converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(join(sk1,converse(sk1))),complement(top)))),bind(Y,$fot(complement(meet(join(sk1,converse(sk1)),top)))),bind(Z,$fot(complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_9043,plain,
( complement(meet(join(sk1,converse(sk1)),top)) != complement(join(sk1,converse(sk1)))
| join(complement(join(sk1,converse(sk1))),complement(top)) = complement(join(sk1,converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,converse(sk1))),complement(top)),complement(meet(join(sk1,converse(sk1)),top))) )],[refute_0_9041,refute_0_9042]) ).
cnf(refute_0_9044,plain,
join(complement(join(sk1,converse(sk1))),complement(top)) = complement(join(sk1,converse(sk1))),
inference(resolve,[$cnf( $equal(complement(meet(join(sk1,converse(sk1)),top)),complement(join(sk1,converse(sk1)))) )],[refute_0_9040,refute_0_9043]) ).
cnf(refute_0_9045,plain,
meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))) = meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))))]]) ).
cnf(refute_0_9046,plain,
( join(complement(join(sk1,converse(sk1))),complement(top)) != complement(join(sk1,converse(sk1)))
| meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))) != meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top)))
| meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))) = meet(complement(one),complement(join(sk1,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))),meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top)))) ),[1,1],$fot(complement(join(sk1,converse(sk1))))]]) ).
cnf(refute_0_9047,plain,
( join(complement(join(sk1,converse(sk1))),complement(top)) != complement(join(sk1,converse(sk1)))
| meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))) = meet(complement(one),complement(join(sk1,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))),meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top)))) )],[refute_0_9045,refute_0_9046]) ).
cnf(refute_0_9048,plain,
meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))) = meet(complement(one),complement(join(sk1,converse(sk1)))),
inference(resolve,[$cnf( $equal(join(complement(join(sk1,converse(sk1))),complement(top)),complement(join(sk1,converse(sk1)))) )],[refute_0_9044,refute_0_9047]) ).
cnf(refute_0_9049,plain,
( complement(one) != meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top)))
| meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))) != meet(complement(one),complement(join(sk1,converse(sk1))))
| complement(one) = meet(complement(one),complement(join(sk1,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(join(sk1,converse(sk1))))) ),[0],$fot(meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))))]]) ).
cnf(refute_0_9050,plain,
( complement(one) != meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top)))
| complement(one) = meet(complement(one),complement(join(sk1,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top))),meet(complement(one),complement(join(sk1,converse(sk1))))) )],[refute_0_9048,refute_0_9049]) ).
cnf(refute_0_9051,plain,
complement(one) = meet(complement(one),complement(join(sk1,converse(sk1)))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(join(sk1,converse(sk1))),complement(top)))) )],[refute_0_9035,refute_0_9050]) ).
cnf(refute_0_9052,plain,
( complement(one) != meet(complement(one),complement(join(sk1,converse(sk1))))
| meet(complement(one),complement(join(sk1,converse(sk1)))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9053,plain,
meet(complement(one),complement(join(sk1,converse(sk1)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(join(sk1,converse(sk1))))) )],[refute_0_9051,refute_0_9052]) ).
cnf(refute_0_9054,plain,
( complement(join(sk1,converse(sk1))) != join(meet(complement(one),complement(join(sk1,converse(sk1)))),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one))))
| meet(complement(one),complement(join(sk1,converse(sk1)))) != complement(one)
| complement(join(sk1,converse(sk1))) = join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,converse(sk1))),join(meet(complement(one),complement(join(sk1,converse(sk1)))),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_9055,plain,
( complement(join(sk1,converse(sk1))) != join(meet(complement(one),complement(join(sk1,converse(sk1)))),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one))))
| complement(join(sk1,converse(sk1))) = join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(join(sk1,converse(sk1)))),complement(one)) )],[refute_0_9053,refute_0_9054]) ).
cnf(refute_0_9056,plain,
complement(join(sk1,converse(sk1))) = join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(sk1))),join(meet(complement(one),complement(join(sk1,converse(sk1)))),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one))))) )],[refute_0_8985,refute_0_9055]) ).
cnf(refute_0_9057,plain,
join(complement(one),complement(complement(join(sk1,converse(sk1))))) = complement(meet(one,complement(join(sk1,converse(sk1))))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_9058,plain,
join(complement(complement(join(sk1,converse(sk1)))),complement(one)) = join(complement(one),complement(complement(join(sk1,converse(sk1))))),
inference(subst,[],[refute_0_2226:[bind(A,$fot(complement(complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9059,plain,
( join(complement(complement(join(sk1,converse(sk1)))),complement(one)) != join(complement(one),complement(complement(join(sk1,converse(sk1)))))
| join(complement(one),complement(complement(join(sk1,converse(sk1))))) != complement(meet(one,complement(join(sk1,converse(sk1)))))
| join(complement(complement(join(sk1,converse(sk1)))),complement(one)) = complement(meet(one,complement(join(sk1,converse(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))),bind(Y,$fot(join(complement(one),complement(complement(join(sk1,converse(sk1))))))),bind(Z,$fot(complement(meet(one,complement(join(sk1,converse(sk1)))))))]]) ).
cnf(refute_0_9060,plain,
( join(complement(one),complement(complement(join(sk1,converse(sk1))))) != complement(meet(one,complement(join(sk1,converse(sk1)))))
| join(complement(complement(join(sk1,converse(sk1)))),complement(one)) = complement(meet(one,complement(join(sk1,converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(join(sk1,converse(sk1)))),complement(one)),join(complement(one),complement(complement(join(sk1,converse(sk1)))))) )],[refute_0_9058,refute_0_9059]) ).
cnf(refute_0_9061,plain,
join(complement(complement(join(sk1,converse(sk1)))),complement(one)) = complement(meet(one,complement(join(sk1,converse(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(complement(join(sk1,converse(sk1))))),complement(meet(one,complement(join(sk1,converse(sk1)))))) )],[refute_0_9057,refute_0_9060]) ).
cnf(refute_0_9062,plain,
meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))) = meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))))]]) ).
cnf(refute_0_9063,plain,
( join(complement(complement(join(sk1,converse(sk1)))),complement(one)) != complement(meet(one,complement(join(sk1,converse(sk1)))))
| meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))) != meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))
| meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))) = meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))),meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) ),[1,1],$fot(complement(meet(one,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9064,plain,
( join(complement(complement(join(sk1,converse(sk1)))),complement(one)) != complement(meet(one,complement(join(sk1,converse(sk1)))))
| meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))) = meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))),meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) )],[refute_0_9062,refute_0_9063]) ).
cnf(refute_0_9065,plain,
meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))) = meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(complement(join(sk1,converse(sk1)))),complement(one)),complement(meet(one,complement(join(sk1,converse(sk1)))))) )],[refute_0_9061,refute_0_9064]) ).
cnf(refute_0_9066,plain,
complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) = complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))))]]) ).
cnf(refute_0_9067,plain,
( complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) != complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))))
| meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))) != meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))
| complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) = complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))),complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))))) ),[1,0],$fot(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))))]]) ).
cnf(refute_0_9068,plain,
( meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))) != meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))
| complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) = complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))),complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))))) )],[refute_0_9066,refute_0_9067]) ).
cnf(refute_0_9069,plain,
complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) = complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))),meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))) )],[refute_0_9065,refute_0_9068]) ).
cnf(refute_0_9070,plain,
join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) = complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))),
inference(subst,[],[refute_0_1144:[bind(A,$fot(one)),bind(B,$fot(join(complement(complement(join(sk1,converse(sk1)))),complement(one))))]]) ).
cnf(refute_0_9071,plain,
( complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) != complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))))
| join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) != complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))))
| join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) = complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))))),bind(Y,$fot(complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))))),bind(Z,$fot(complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))))))]]) ).
cnf(refute_0_9072,plain,
( complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) != complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))))
| join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) = complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))),complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one))))) )],[refute_0_9070,refute_0_9071]) ).
cnf(refute_0_9073,plain,
join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) = complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(complement(join(sk1,converse(sk1)))),complement(one)))),complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9069,refute_0_9072]) ).
cnf(refute_0_9074,plain,
( complement(join(sk1,converse(sk1))) != join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one))))
| join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))) != complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))))
| complement(join(sk1,converse(sk1))) = complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(sk1,converse(sk1))),complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))))) ),[0],$fot(join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))))]]) ).
cnf(refute_0_9075,plain,
( complement(join(sk1,converse(sk1))) != join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one))))
| complement(join(sk1,converse(sk1))) = complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one)))),complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9073,refute_0_9074]) ).
cnf(refute_0_9076,plain,
complement(join(sk1,converse(sk1))) = complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(sk1))),join(complement(one),complement(join(complement(complement(join(sk1,converse(sk1)))),complement(one))))) )],[refute_0_9056,refute_0_9075]) ).
cnf(refute_0_9077,plain,
( complement(join(sk1,converse(sk1))) != complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))))
| complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))) = complement(join(sk1,converse(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(sk1,converse(sk1))))),bind(Y,$fot(complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))))))]]) ).
cnf(refute_0_9078,plain,
complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))) = complement(join(sk1,converse(sk1))),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(sk1))),complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9076,refute_0_9077]) ).
cnf(refute_0_9079,plain,
( complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))) != complement(join(sk1,converse(sk1)))
| meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) != complement(complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))))
| meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) = complement(complement(join(sk1,converse(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))),complement(complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))))) ),[1,0],$fot(complement(join(sk1,converse(sk1))))]]) ).
cnf(refute_0_9080,plain,
( meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) != complement(complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))))
| meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) = complement(complement(join(sk1,converse(sk1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))),complement(join(sk1,converse(sk1)))) )],[refute_0_9078,refute_0_9079]) ).
cnf(refute_0_9081,plain,
meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) = complement(complement(join(sk1,converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))),complement(complement(meet(one,complement(meet(one,complement(join(sk1,converse(sk1))))))))) )],[refute_0_8984,refute_0_9080]) ).
cnf(refute_0_9082,plain,
complement(complement(join(sk1,converse(sk1)))) = join(sk1,converse(sk1)),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(join(sk1,converse(sk1))))]]) ).
cnf(refute_0_9083,plain,
( complement(complement(join(sk1,converse(sk1)))) != join(sk1,converse(sk1))
| meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) != complement(complement(join(sk1,converse(sk1))))
| meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) = join(sk1,converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))),complement(complement(join(sk1,converse(sk1))))) ),[1],$fot(join(sk1,converse(sk1)))]]) ).
cnf(refute_0_9084,plain,
( meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) != complement(complement(join(sk1,converse(sk1))))
| meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) = join(sk1,converse(sk1)) ),
inference(resolve,[$cnf( $equal(complement(complement(join(sk1,converse(sk1)))),join(sk1,converse(sk1))) )],[refute_0_9082,refute_0_9083]) ).
cnf(refute_0_9085,plain,
meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) = join(sk1,converse(sk1)),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))),complement(complement(join(sk1,converse(sk1))))) )],[refute_0_9081,refute_0_9084]) ).
cnf(refute_0_9086,plain,
( complement(meet(one,complement(join(sk1,converse(sk1))))) != join(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))
| meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))) != join(sk1,converse(sk1))
| complement(meet(one,complement(join(sk1,converse(sk1))))) = join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(join(sk1,converse(sk1))))),join(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))) ),[1,0],$fot(join(sk1,converse(sk1)))]]) ).
cnf(refute_0_9087,plain,
( complement(meet(one,complement(join(sk1,converse(sk1))))) != join(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))
| complement(meet(one,complement(join(sk1,converse(sk1))))) = join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))),join(sk1,converse(sk1))) )],[refute_0_9085,refute_0_9086]) ).
cnf(refute_0_9088,plain,
complement(meet(one,complement(join(sk1,converse(sk1))))) = join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(join(sk1,converse(sk1))))),join(meet(one,complement(meet(one,complement(join(sk1,converse(sk1)))))),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))) )],[refute_0_8983,refute_0_9087]) ).
cnf(refute_0_9089,plain,
join(converse(sk1),complement(one)) = join(complement(one),converse(sk1)),
inference(subst,[],[refute_0_2226:[bind(A,$fot(converse(sk1)))]]) ).
cnf(refute_0_9090,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| join(converse(sk1),complement(one)) != join(complement(one),converse(sk1))
| join(converse(sk1),complement(one)) = converse(join(sk1,complement(one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),complement(one)))),bind(Y,$fot(join(complement(one),converse(sk1)))),bind(Z,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_9091,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| join(converse(sk1),complement(one)) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(one)),join(complement(one),converse(sk1))) )],[refute_0_9089,refute_0_9090]) ).
cnf(refute_0_9092,plain,
join(converse(sk1),complement(one)) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),converse(join(sk1,complement(one)))) )],[refute_0_5141,refute_0_9091]) ).
cnf(refute_0_9093,plain,
converse(converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))) = join(one,meet(one,complement(join(sk1,converse(sk1))))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,meet(one,complement(join(sk1,converse(sk1)))))))]]) ).
cnf(refute_0_9094,plain,
join(one,join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) = join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_9095,plain,
converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) = converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))),
inference(subst,[],[refute_0_853:[bind(X_11,$fot(sk1)),bind(X_12,$fot(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))))]]) ).
cnf(refute_0_9096,plain,
one = join(meet(one,join(sk1,converse(sk1))),meet(complement(join(sk1,converse(sk1))),one)),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(join(sk1,converse(sk1)))),bind(X_117,$fot(one))]]) ).
cnf(refute_0_9097,plain,
join(sk1,converse(sk1)) = meet(join(sk1,converse(sk1)),join(one,complement(join(one,complement(join(sk1,converse(sk1))))))),
inference(subst,[],[refute_0_2708:[bind(X_135,$fot(one)),bind(X_136,$fot(join(sk1,converse(sk1))))]]) ).
cnf(refute_0_9098,plain,
( join(one,complement(join(sk1,converse(sk1)))) != top
| join(sk1,converse(sk1)) != meet(join(sk1,converse(sk1)),join(one,complement(join(one,complement(join(sk1,converse(sk1)))))))
| join(sk1,converse(sk1)) = meet(join(sk1,converse(sk1)),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(sk1)),meet(join(sk1,converse(sk1)),join(one,complement(join(one,complement(join(sk1,converse(sk1)))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_9099,plain,
( join(sk1,converse(sk1)) != meet(join(sk1,converse(sk1)),join(one,complement(join(one,complement(join(sk1,converse(sk1)))))))
| join(sk1,converse(sk1)) = meet(join(sk1,converse(sk1)),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(sk1,converse(sk1)))),top) )],[refute_0_9032,refute_0_9098]) ).
cnf(refute_0_9100,plain,
join(sk1,converse(sk1)) = meet(join(sk1,converse(sk1)),join(one,complement(top))),
inference(resolve,[$cnf( $equal(join(sk1,converse(sk1)),meet(join(sk1,converse(sk1)),join(one,complement(join(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9097,refute_0_9099]) ).
cnf(refute_0_9101,plain,
meet(join(one,complement(top)),join(sk1,converse(sk1))) = meet(join(one,complement(top)),join(sk1,converse(sk1))),
introduced(tautology,[refl,[$fot(meet(join(one,complement(top)),join(sk1,converse(sk1))))]]) ).
cnf(refute_0_9102,plain,
( join(one,complement(top)) != one
| meet(join(one,complement(top)),join(sk1,converse(sk1))) != meet(join(one,complement(top)),join(sk1,converse(sk1)))
| meet(join(one,complement(top)),join(sk1,converse(sk1))) = meet(one,join(sk1,converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,complement(top)),join(sk1,converse(sk1))),meet(join(one,complement(top)),join(sk1,converse(sk1)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_9103,plain,
( join(one,complement(top)) != one
| meet(join(one,complement(top)),join(sk1,converse(sk1))) = meet(one,join(sk1,converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),join(sk1,converse(sk1))),meet(join(one,complement(top)),join(sk1,converse(sk1)))) )],[refute_0_9101,refute_0_9102]) ).
cnf(refute_0_9104,plain,
meet(join(one,complement(top)),join(sk1,converse(sk1))) = meet(one,join(sk1,converse(sk1))),
inference(resolve,[$cnf( $equal(join(one,complement(top)),one) )],[refute_0_1624,refute_0_9103]) ).
cnf(refute_0_9105,plain,
meet(join(sk1,converse(sk1)),join(one,complement(top))) = meet(join(one,complement(top)),join(sk1,converse(sk1))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(join(one,complement(top)))),bind(X_7,$fot(join(sk1,converse(sk1))))]]) ).
cnf(refute_0_9106,plain,
( meet(join(one,complement(top)),join(sk1,converse(sk1))) != meet(one,join(sk1,converse(sk1)))
| meet(join(sk1,converse(sk1)),join(one,complement(top))) != meet(join(one,complement(top)),join(sk1,converse(sk1)))
| meet(join(sk1,converse(sk1)),join(one,complement(top))) = meet(one,join(sk1,converse(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(sk1,converse(sk1)),join(one,complement(top))))),bind(Y,$fot(meet(join(one,complement(top)),join(sk1,converse(sk1))))),bind(Z,$fot(meet(one,join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_9107,plain,
( meet(join(one,complement(top)),join(sk1,converse(sk1))) != meet(one,join(sk1,converse(sk1)))
| meet(join(sk1,converse(sk1)),join(one,complement(top))) = meet(one,join(sk1,converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,converse(sk1)),join(one,complement(top))),meet(join(one,complement(top)),join(sk1,converse(sk1)))) )],[refute_0_9105,refute_0_9106]) ).
cnf(refute_0_9108,plain,
meet(join(sk1,converse(sk1)),join(one,complement(top))) = meet(one,join(sk1,converse(sk1))),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),join(sk1,converse(sk1))),meet(one,join(sk1,converse(sk1)))) )],[refute_0_9104,refute_0_9107]) ).
cnf(refute_0_9109,plain,
( join(sk1,converse(sk1)) != meet(join(sk1,converse(sk1)),join(one,complement(top)))
| meet(join(sk1,converse(sk1)),join(one,complement(top))) != meet(one,join(sk1,converse(sk1)))
| join(sk1,converse(sk1)) = meet(one,join(sk1,converse(sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,converse(sk1)),meet(one,join(sk1,converse(sk1)))) ),[0],$fot(meet(join(sk1,converse(sk1)),join(one,complement(top))))]]) ).
cnf(refute_0_9110,plain,
( join(sk1,converse(sk1)) != meet(join(sk1,converse(sk1)),join(one,complement(top)))
| join(sk1,converse(sk1)) = meet(one,join(sk1,converse(sk1))) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,converse(sk1)),join(one,complement(top))),meet(one,join(sk1,converse(sk1)))) )],[refute_0_9108,refute_0_9109]) ).
cnf(refute_0_9111,plain,
join(sk1,converse(sk1)) = meet(one,join(sk1,converse(sk1))),
inference(resolve,[$cnf( $equal(join(sk1,converse(sk1)),meet(join(sk1,converse(sk1)),join(one,complement(top)))) )],[refute_0_9100,refute_0_9110]) ).
cnf(refute_0_9112,plain,
( join(sk1,converse(sk1)) != meet(one,join(sk1,converse(sk1)))
| meet(one,join(sk1,converse(sk1))) = join(sk1,converse(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(sk1,converse(sk1)))),bind(Y,$fot(meet(one,join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_9113,plain,
meet(one,join(sk1,converse(sk1))) = join(sk1,converse(sk1)),
inference(resolve,[$cnf( $equal(join(sk1,converse(sk1)),meet(one,join(sk1,converse(sk1)))) )],[refute_0_9111,refute_0_9112]) ).
cnf(refute_0_9114,plain,
( meet(one,join(sk1,converse(sk1))) != join(sk1,converse(sk1))
| one != join(meet(one,join(sk1,converse(sk1))),meet(complement(join(sk1,converse(sk1))),one))
| one = join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,join(sk1,converse(sk1))),meet(complement(join(sk1,converse(sk1))),one))) ),[1,0],$fot(join(sk1,converse(sk1)))]]) ).
cnf(refute_0_9115,plain,
( one != join(meet(one,join(sk1,converse(sk1))),meet(complement(join(sk1,converse(sk1))),one))
| one = join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one)) ),
inference(resolve,[$cnf( $equal(meet(one,join(sk1,converse(sk1))),join(sk1,converse(sk1))) )],[refute_0_9113,refute_0_9114]) ).
cnf(refute_0_9116,plain,
one = join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,join(sk1,converse(sk1))),meet(complement(join(sk1,converse(sk1))),one))) )],[refute_0_9096,refute_0_9115]) ).
cnf(refute_0_9117,plain,
meet(complement(join(sk1,converse(sk1))),one) = meet(one,complement(join(sk1,converse(sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_9118,plain,
join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)) = join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)),
introduced(tautology,[refl,[$fot(join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)))]]) ).
cnf(refute_0_9119,plain,
( join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)) != join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))
| meet(complement(join(sk1,converse(sk1))),one) != meet(one,complement(join(sk1,converse(sk1))))
| join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)) = join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)),join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))) ),[1,1],$fot(meet(one,complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_9120,plain,
( meet(complement(join(sk1,converse(sk1))),one) != meet(one,complement(join(sk1,converse(sk1))))
| join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)) = join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)),join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))) )],[refute_0_9118,refute_0_9119]) ).
cnf(refute_0_9121,plain,
join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)) = join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(join(sk1,converse(sk1))),one),meet(one,complement(join(sk1,converse(sk1))))) )],[refute_0_9117,refute_0_9120]) ).
cnf(refute_0_9122,plain,
join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))) = join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))),
introduced(tautology,[refl,[$fot(join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))))]]) ).
cnf(refute_0_9123,plain,
( join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)) != join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))
| join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))) != join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)))
| join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))) = join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))),join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)))) ),[1,1],$fot(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9124,plain,
( join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)) != join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))
| join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))) = join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))),join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)))) )],[refute_0_9122,refute_0_9123]) ).
cnf(refute_0_9125,plain,
join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))) = join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)),join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))) )],[refute_0_9121,refute_0_9124]) ).
cnf(refute_0_9126,plain,
join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one)) = join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))),
inference(subst,[],[refute_0_169:[bind(A,$fot(sk1)),bind(B,$fot(converse(sk1))),bind(C,$fot(meet(complement(join(sk1,converse(sk1))),one)))]]) ).
cnf(refute_0_9127,plain,
( join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one)) != join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)))
| join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))) != join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))
| join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one)) = join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one)))),bind(Y,$fot(join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))))),bind(Z,$fot(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_9128,plain,
( join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))) != join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))
| join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one)) = join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one)),join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one)))) )],[refute_0_9126,refute_0_9127]) ).
cnf(refute_0_9129,plain,
join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one)) = join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(sk1),meet(complement(join(sk1,converse(sk1))),one))),join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))) )],[refute_0_9125,refute_0_9128]) ).
cnf(refute_0_9130,plain,
( join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one)) != join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))
| one != join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one))
| one = join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one))) ),[1],$fot(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))))]]) ).
cnf(refute_0_9131,plain,
( one != join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one))
| one = join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one)),join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))) )],[refute_0_9129,refute_0_9130]) ).
cnf(refute_0_9132,plain,
one = join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))),
inference(resolve,[$cnf( $equal(one,join(join(sk1,converse(sk1)),meet(complement(join(sk1,converse(sk1))),one))) )],[refute_0_9116,refute_0_9131]) ).
cnf(refute_0_9133,plain,
( one != join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))
| join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_9134,plain,
join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))) = one,
inference(resolve,[$cnf( $equal(one,join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))) )],[refute_0_9132,refute_0_9133]) ).
cnf(refute_0_9135,plain,
( converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) != converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))))
| join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))) != one
| converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)),converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_9136,plain,
( converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) != converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))))
| converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) = converse(one) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))),one) )],[refute_0_9134,refute_0_9135]) ).
cnf(refute_0_9137,plain,
converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)),converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9095,refute_0_9136]) ).
cnf(refute_0_9138,plain,
join(sk1,converse(join(meet(one,complement(join(sk1,converse(sk1)))),sk1))) = join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),
inference(subst,[],[refute_0_2734:[bind(A,$fot(sk1)),bind(X_25,$fot(meet(one,complement(join(sk1,converse(sk1)))))),bind(X_26,$fot(sk1))]]) ).
cnf(refute_0_9139,plain,
converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))) = join(sk1,converse(join(meet(one,complement(join(sk1,converse(sk1)))),sk1))),
inference(subst,[],[refute_0_2789:[bind(A,$fot(sk1)),bind(X_155,$fot(sk1)),bind(X_157,$fot(meet(one,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9140,plain,
( converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))) != join(sk1,converse(join(meet(one,complement(join(sk1,converse(sk1)))),sk1)))
| join(sk1,converse(join(meet(one,complement(join(sk1,converse(sk1)))),sk1))) != join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))) = join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))))),bind(Y,$fot(join(sk1,converse(join(meet(one,complement(join(sk1,converse(sk1)))),sk1))))),bind(Z,$fot(join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))))]]) ).
cnf(refute_0_9141,plain,
( join(sk1,converse(join(meet(one,complement(join(sk1,converse(sk1)))),sk1))) != join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))) = join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))),join(sk1,converse(join(meet(one,complement(join(sk1,converse(sk1)))),sk1)))) )],[refute_0_9139,refute_0_9140]) ).
cnf(refute_0_9142,plain,
converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))) = join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(meet(one,complement(join(sk1,converse(sk1)))),sk1))),join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9138,refute_0_9141]) ).
cnf(refute_0_9143,plain,
( converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) != converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))))
| converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))) != join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) = join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)))),bind(Y,$fot(converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))))),bind(Z,$fot(join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))))]]) ).
cnf(refute_0_9144,plain,
( converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))) != join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) = join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)),converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9095,refute_0_9143]) ).
cnf(refute_0_9145,plain,
converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) = join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),
inference(resolve,[$cnf( $equal(converse(join(sk1,join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))))),join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9142,refute_0_9144]) ).
cnf(refute_0_9146,plain,
( converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) != converse(one)
| converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) != join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)),converse(one)) ),[0],$fot(join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_9147,plain,
( converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) != converse(one)
| join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)),join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9145,refute_0_9146]) ).
cnf(refute_0_9148,plain,
( converse(one) != one
| join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) != converse(one)
| join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_9149,plain,
( join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) != converse(one)
| join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_9148]) ).
cnf(refute_0_9150,plain,
( converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)) != converse(one)
| join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = one ),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),converse(one)) )],[refute_0_9147,refute_0_9149]) ).
cnf(refute_0_9151,plain,
join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = one,
inference(resolve,[$cnf( $equal(converse(join(join(converse(sk1),meet(one,complement(join(sk1,converse(sk1))))),sk1)),converse(one)) )],[refute_0_9137,refute_0_9150]) ).
cnf(refute_0_9152,plain,
( join(one,join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) != join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) != one
| join(one,one) = join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))),join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_9153,plain,
( join(one,join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) != join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| join(one,one) = join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),one) )],[refute_0_9151,refute_0_9152]) ).
cnf(refute_0_9154,plain,
join(one,one) = join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))),join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9094,refute_0_9153]) ).
cnf(refute_0_9155,plain,
( join(one,one) != join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| join(one,one) != one
| one = join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,one),join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_9156,plain,
( join(one,one) != join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| one = join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1471,refute_0_9155]) ).
cnf(refute_0_9157,plain,
join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1)))))) = join(one,meet(one,complement(join(sk1,converse(sk1))))),
inference(subst,[],[refute_0_687:[bind(X_33,$fot(meet(one,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9158,plain,
converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_9159,plain,
( converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) != converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1)))))) != join(one,meet(one,complement(join(sk1,converse(sk1)))))
| converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) ),[1,0],$fot(join(one,meet(one,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9160,plain,
( join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1)))))) != join(one,meet(one,complement(join(sk1,converse(sk1)))))
| converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9158,refute_0_9159]) ).
cnf(refute_0_9161,plain,
converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1)))))),join(one,meet(one,complement(join(sk1,converse(sk1)))))) )],[refute_0_9157,refute_0_9160]) ).
cnf(refute_0_9162,plain,
join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))]]) ).
cnf(refute_0_9163,plain,
( converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) != converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))
| join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) != converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))))),bind(Y,$fot(converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))))),bind(Z,$fot(converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_9164,plain,
( converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) != converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))
| join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9162,refute_0_9163]) ).
cnf(refute_0_9165,plain,
join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) = converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))) )],[refute_0_9161,refute_0_9164]) ).
cnf(refute_0_9166,plain,
( join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))) != converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))
| one != join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| one = converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) ),[1],$fot(converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))))]]) ).
cnf(refute_0_9167,plain,
( one != join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| one = converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1))))))),converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))) )],[refute_0_9165,refute_0_9166]) ).
cnf(refute_0_9168,plain,
( join(one,one) != join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))
| one = converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))) ),
inference(resolve,[$cnf( $equal(one,join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9156,refute_0_9167]) ).
cnf(refute_0_9169,plain,
one = converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))),
inference(resolve,[$cnf( $equal(join(one,one),join(one,converse(join(sk1,meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9154,refute_0_9168]) ).
cnf(refute_0_9170,plain,
( one != converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))
| converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_9171,plain,
converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))) = one,
inference(resolve,[$cnf( $equal(one,converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))) )],[refute_0_9169,refute_0_9170]) ).
cnf(refute_0_9172,plain,
( converse(converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))) != join(one,meet(one,complement(join(sk1,converse(sk1)))))
| converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))) != one
| converse(one) = join(one,meet(one,complement(join(sk1,converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))),join(one,meet(one,complement(join(sk1,converse(sk1)))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_9173,plain,
( converse(converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))) != join(one,meet(one,complement(join(sk1,converse(sk1)))))
| converse(one) = join(one,meet(one,complement(join(sk1,converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,complement(join(sk1,converse(sk1)))))),one) )],[refute_0_9171,refute_0_9172]) ).
cnf(refute_0_9174,plain,
converse(one) = join(one,meet(one,complement(join(sk1,converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,meet(one,complement(join(sk1,converse(sk1))))))),join(one,meet(one,complement(join(sk1,converse(sk1)))))) )],[refute_0_9093,refute_0_9173]) ).
cnf(refute_0_9175,plain,
( converse(one) != join(one,meet(one,complement(join(sk1,converse(sk1)))))
| converse(one) != one
| one = join(one,meet(one,complement(join(sk1,converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(one),join(one,meet(one,complement(join(sk1,converse(sk1)))))) ),[0],$fot(one)]]) ).
cnf(refute_0_9176,plain,
( converse(one) != join(one,meet(one,complement(join(sk1,converse(sk1)))))
| one = join(one,meet(one,complement(join(sk1,converse(sk1))))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_9175]) ).
cnf(refute_0_9177,plain,
one = join(one,meet(one,complement(join(sk1,converse(sk1))))),
inference(resolve,[$cnf( $equal(converse(one),join(one,meet(one,complement(join(sk1,converse(sk1)))))) )],[refute_0_9174,refute_0_9176]) ).
cnf(refute_0_9178,plain,
( one != join(one,meet(one,complement(join(sk1,converse(sk1)))))
| join(one,meet(one,complement(join(sk1,converse(sk1))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(one,complement(join(sk1,converse(sk1)))))))]]) ).
cnf(refute_0_9179,plain,
join(one,meet(one,complement(join(sk1,converse(sk1))))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(one,complement(join(sk1,converse(sk1)))))) )],[refute_0_9177,refute_0_9178]) ).
cnf(refute_0_9180,plain,
complement(complement(meet(one,complement(join(sk1,converse(sk1)))))) = meet(one,complement(join(sk1,converse(sk1)))),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(meet(one,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9181,plain,
join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))) = join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))),
introduced(tautology,[refl,[$fot(join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_9182,plain,
( complement(complement(meet(one,complement(join(sk1,converse(sk1)))))) != meet(one,complement(join(sk1,converse(sk1))))
| join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))) != join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1)))))))
| join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))) = join(one,meet(one,complement(join(sk1,converse(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))),join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1)))))))) ),[1,1],$fot(meet(one,complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_9183,plain,
( complement(complement(meet(one,complement(join(sk1,converse(sk1)))))) != meet(one,complement(join(sk1,converse(sk1))))
| join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))) = join(one,meet(one,complement(join(sk1,converse(sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))),join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9181,refute_0_9182]) ).
cnf(refute_0_9184,plain,
join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))) = join(one,meet(one,complement(join(sk1,converse(sk1))))),
inference(resolve,[$cnf( $equal(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),meet(one,complement(join(sk1,converse(sk1))))) )],[refute_0_9180,refute_0_9183]) ).
cnf(refute_0_9185,plain,
( join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))) != join(one,meet(one,complement(join(sk1,converse(sk1)))))
| join(one,meet(one,complement(join(sk1,converse(sk1))))) != one
| join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))))),bind(Y,$fot(join(one,meet(one,complement(join(sk1,converse(sk1))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_9186,plain,
( join(one,meet(one,complement(join(sk1,converse(sk1))))) != one
| join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))),join(one,meet(one,complement(join(sk1,converse(sk1)))))) )],[refute_0_9184,refute_0_9185]) ).
cnf(refute_0_9187,plain,
join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))) = one,
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(join(sk1,converse(sk1))))),one) )],[refute_0_9179,refute_0_9186]) ).
cnf(refute_0_9188,plain,
join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one) = join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))),
inference(subst,[],[refute_0_1401:[bind(A,$fot(complement(complement(meet(one,complement(join(sk1,converse(sk1))))))))]]) ).
cnf(refute_0_9189,plain,
( join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one) != join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1)))))))
| join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))) != one
| join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))),bind(Y,$fot(join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_9190,plain,
( join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))) != one
| join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one) = one ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one),join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1)))))))) )],[refute_0_9188,refute_0_9189]) ).
cnf(refute_0_9191,plain,
join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one) = one,
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(one,complement(join(sk1,converse(sk1))))))),one) )],[refute_0_9187,refute_0_9190]) ).
cnf(refute_0_9192,plain,
complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)) = complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))]]) ).
cnf(refute_0_9193,plain,
( complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)) != complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))
| join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one) != one
| complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_9194,plain,
( join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one) != one
| complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) )],[refute_0_9192,refute_0_9193]) ).
cnf(refute_0_9195,plain,
complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one),one) )],[refute_0_9191,refute_0_9194]) ).
cnf(refute_0_9196,plain,
join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) = join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))),
introduced(tautology,[refl,[$fot(join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))))]]) ).
cnf(refute_0_9197,plain,
( complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)) != complement(one)
| join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) != join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))
| join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) = join(converse(sk1),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))),join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_9198,plain,
( complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)) != complement(one)
| join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) = join(converse(sk1),complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))),join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))) )],[refute_0_9196,refute_0_9197]) ).
cnf(refute_0_9199,plain,
join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) = join(converse(sk1),complement(one)),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)),complement(one)) )],[refute_0_9195,refute_0_9198]) ).
cnf(refute_0_9200,plain,
( join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) != join(converse(sk1),complement(one))
| join(converse(sk1),complement(one)) != converse(join(sk1,complement(one)))
| join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) = converse(join(sk1,complement(one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))))),bind(Y,$fot(join(converse(sk1),complement(one)))),bind(Z,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_9201,plain,
( join(converse(sk1),complement(one)) != converse(join(sk1,complement(one)))
| join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))),join(converse(sk1),complement(one))) )],[refute_0_9199,refute_0_9200]) ).
cnf(refute_0_9202,plain,
join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(one)),converse(join(sk1,complement(one)))) )],[refute_0_9092,refute_0_9201]) ).
cnf(refute_0_9203,plain,
join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))) = join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))),
introduced(tautology,[refl,[$fot(join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))))]]) ).
cnf(refute_0_9204,plain,
( join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) != converse(join(sk1,complement(one)))
| join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))) != join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))))
| join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))) = join(sk1,converse(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))),join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))))) ),[1,1],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_9205,plain,
( join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) != converse(join(sk1,complement(one)))
| join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))) = join(sk1,converse(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))),join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))))) )],[refute_0_9203,refute_0_9204]) ).
cnf(refute_0_9206,plain,
join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))) = join(sk1,converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))),converse(join(sk1,complement(one)))) )],[refute_0_9202,refute_0_9205]) ).
cnf(refute_0_9207,plain,
join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) = join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))),
inference(subst,[],[refute_0_169:[bind(A,$fot(sk1)),bind(B,$fot(converse(sk1))),bind(C,$fot(complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))))]]) ).
cnf(refute_0_9208,plain,
( join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) != join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))))
| join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))) != join(sk1,converse(join(sk1,complement(one))))
| join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) = join(sk1,converse(join(sk1,complement(one)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))))),bind(Y,$fot(join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))))),bind(Z,$fot(join(sk1,converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_9209,plain,
( join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))) != join(sk1,converse(join(sk1,complement(one))))
| join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) = join(sk1,converse(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))),join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))))) )],[refute_0_9207,refute_0_9208]) ).
cnf(refute_0_9210,plain,
join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) = join(sk1,converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(join(sk1,join(converse(sk1),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))),join(sk1,converse(join(sk1,complement(one))))) )],[refute_0_9206,refute_0_9209]) ).
cnf(refute_0_9211,plain,
( complement(meet(one,complement(join(sk1,converse(sk1))))) != join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))
| join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))) != join(sk1,converse(join(sk1,complement(one))))
| complement(meet(one,complement(join(sk1,converse(sk1))))) = join(sk1,converse(join(sk1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(join(sk1,converse(sk1))))),join(sk1,converse(join(sk1,complement(one))))) ),[0],$fot(join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))))]]) ).
cnf(refute_0_9212,plain,
( complement(meet(one,complement(join(sk1,converse(sk1))))) != join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))
| complement(meet(one,complement(join(sk1,converse(sk1))))) = join(sk1,converse(join(sk1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one))),join(sk1,converse(join(sk1,complement(one))))) )],[refute_0_9210,refute_0_9211]) ).
cnf(refute_0_9213,plain,
complement(meet(one,complement(join(sk1,converse(sk1))))) = join(sk1,converse(join(sk1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(join(sk1,converse(sk1))))),join(join(sk1,converse(sk1)),complement(join(complement(complement(meet(one,complement(join(sk1,converse(sk1)))))),one)))) )],[refute_0_9088,refute_0_9212]) ).
cnf(refute_0_9214,plain,
( complement(meet(one,complement(join(sk1,converse(sk1))))) != join(sk1,converse(join(sk1,complement(one))))
| meet(one,complement(join(sk1,converse(sk1)))) != complement(complement(meet(one,complement(join(sk1,converse(sk1))))))
| meet(one,complement(join(sk1,converse(sk1)))) = complement(join(sk1,converse(join(sk1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(sk1,converse(sk1)))),complement(complement(meet(one,complement(join(sk1,converse(sk1))))))) ),[1,0],$fot(join(sk1,converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_9215,plain,
( meet(one,complement(join(sk1,converse(sk1)))) != complement(complement(meet(one,complement(join(sk1,converse(sk1))))))
| meet(one,complement(join(sk1,converse(sk1)))) = complement(join(sk1,converse(join(sk1,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(join(sk1,converse(sk1))))),join(sk1,converse(join(sk1,complement(one))))) )],[refute_0_9213,refute_0_9214]) ).
cnf(refute_0_9216,plain,
meet(one,complement(join(sk1,converse(sk1)))) = complement(join(sk1,converse(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(sk1,converse(sk1)))),complement(complement(meet(one,complement(join(sk1,converse(sk1))))))) )],[refute_0_8982,refute_0_9215]) ).
cnf(refute_0_9217,plain,
( meet(one,complement(join(sk1,converse(sk1)))) != complement(join(sk1,converse(join(sk1,complement(one)))))
| complement(join(sk1,converse(join(sk1,complement(one))))) = meet(one,complement(join(sk1,converse(sk1)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(one,complement(join(sk1,converse(sk1)))))),bind(Y,$fot(complement(join(sk1,converse(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_9218,plain,
complement(join(sk1,converse(join(sk1,complement(one))))) = meet(one,complement(join(sk1,converse(sk1)))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(sk1,converse(sk1)))),complement(join(sk1,converse(join(sk1,complement(one)))))) )],[refute_0_9216,refute_0_9217]) ).
cnf(refute_0_9219,plain,
( complement(join(sk1,converse(join(sk1,complement(one))))) != meet(one,complement(join(sk1,converse(sk1))))
| meet(converse(join(sk1,complement(one))),complement(join(sk1,converse(join(sk1,complement(one)))))) != zero
| meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(sk1,complement(one))),complement(join(sk1,converse(join(sk1,complement(one)))))),zero) ),[0,1],$fot(meet(one,complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_9220,plain,
( meet(converse(join(sk1,complement(one))),complement(join(sk1,converse(join(sk1,complement(one)))))) != zero
| meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(join(sk1,complement(one))))),meet(one,complement(join(sk1,converse(sk1))))) )],[refute_0_9218,refute_0_9219]) ).
cnf(refute_0_9221,plain,
meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,complement(one))),complement(join(sk1,converse(join(sk1,complement(one)))))),zero) )],[refute_0_8981,refute_0_9220]) ).
cnf(refute_0_9222,plain,
meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))) = meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))),
introduced(tautology,[refl,[$fot(meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))))]]) ).
cnf(refute_0_9223,plain,
( meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))) != meet(complement(sk1),meet(one,converse(join(sk1,complement(one)))))
| meet(one,converse(join(sk1,complement(one)))) != converse(sk1)
| meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))) = meet(complement(sk1),converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))),meet(complement(sk1),meet(one,converse(join(sk1,complement(one)))))) ),[1,1],$fot(converse(sk1))]]) ).
cnf(refute_0_9224,plain,
( meet(one,converse(join(sk1,complement(one)))) != converse(sk1)
| meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))) = meet(complement(sk1),converse(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))),meet(complement(sk1),meet(one,converse(join(sk1,complement(one)))))) )],[refute_0_9222,refute_0_9223]) ).
cnf(refute_0_9225,plain,
meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))) = meet(complement(sk1),converse(sk1)),
inference(resolve,[$cnf( $equal(meet(one,converse(join(sk1,complement(one)))),converse(sk1)) )],[refute_0_5998,refute_0_9224]) ).
cnf(refute_0_9226,plain,
meet(complement(sk1),meet(converse(join(sk1,complement(one))),one)) = meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))),
inference(subst,[],[refute_0_6314:[bind(X_318,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_9227,plain,
( meet(complement(sk1),meet(converse(join(sk1,complement(one))),one)) != meet(complement(sk1),meet(one,converse(join(sk1,complement(one)))))
| meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))) != meet(complement(sk1),converse(sk1))
| meet(complement(sk1),meet(converse(join(sk1,complement(one))),one)) = meet(complement(sk1),converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(sk1),meet(converse(join(sk1,complement(one))),one)))),bind(Y,$fot(meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))))),bind(Z,$fot(meet(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_9228,plain,
( meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))) != meet(complement(sk1),converse(sk1))
| meet(complement(sk1),meet(converse(join(sk1,complement(one))),one)) = meet(complement(sk1),converse(sk1)) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(converse(join(sk1,complement(one))),one)),meet(complement(sk1),meet(one,converse(join(sk1,complement(one)))))) )],[refute_0_9226,refute_0_9227]) ).
cnf(refute_0_9229,plain,
meet(complement(sk1),meet(converse(join(sk1,complement(one))),one)) = meet(complement(sk1),converse(sk1)),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(one,converse(join(sk1,complement(one))))),meet(complement(sk1),converse(sk1))) )],[refute_0_9225,refute_0_9228]) ).
cnf(refute_0_9230,plain,
meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))) = meet(complement(sk1),meet(converse(join(sk1,complement(one))),one)),
inference(subst,[],[refute_0_6325:[bind(X_316,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_9231,plain,
( meet(complement(sk1),meet(converse(join(sk1,complement(one))),one)) != meet(complement(sk1),converse(sk1))
| meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))) != meet(complement(sk1),meet(converse(join(sk1,complement(one))),one))
| meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))) = meet(complement(sk1),converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))))),bind(Y,$fot(meet(complement(sk1),meet(converse(join(sk1,complement(one))),one)))),bind(Z,$fot(meet(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_9232,plain,
( meet(complement(sk1),meet(converse(join(sk1,complement(one))),one)) != meet(complement(sk1),converse(sk1))
| meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))) = meet(complement(sk1),converse(sk1)) ),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))),meet(complement(sk1),meet(converse(join(sk1,complement(one))),one))) )],[refute_0_9230,refute_0_9231]) ).
cnf(refute_0_9233,plain,
meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))) = meet(complement(sk1),converse(sk1)),
inference(resolve,[$cnf( $equal(meet(complement(sk1),meet(converse(join(sk1,complement(one))),one)),meet(complement(sk1),converse(sk1))) )],[refute_0_9229,refute_0_9232]) ).
cnf(refute_0_9234,plain,
complement(join(sk1,converse(sk1))) = complement(join(sk1,converse(sk1))),
introduced(tautology,[refl,[$fot(complement(join(sk1,converse(sk1))))]]) ).
cnf(refute_0_9235,plain,
( complement(join(sk1,converse(sk1))) != complement(join(sk1,converse(sk1)))
| join(sk1,converse(sk1)) != sk1
| complement(join(sk1,converse(sk1))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(sk1,converse(sk1))),complement(join(sk1,converse(sk1)))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_9236,plain,
( join(sk1,converse(sk1)) != sk1
| complement(join(sk1,converse(sk1))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(sk1))),complement(join(sk1,converse(sk1)))) )],[refute_0_9234,refute_0_9235]) ).
cnf(refute_0_9237,plain,
complement(join(sk1,converse(sk1))) = complement(sk1),
inference(resolve,[$cnf( $equal(join(sk1,converse(sk1)),sk1) )],[refute_0_8751,refute_0_9236]) ).
cnf(refute_0_9238,plain,
meet(one,complement(join(sk1,converse(sk1)))) = meet(one,complement(join(sk1,converse(sk1)))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(sk1,converse(sk1)))))]]) ).
cnf(refute_0_9239,plain,
( complement(join(sk1,converse(sk1))) != complement(sk1)
| meet(one,complement(join(sk1,converse(sk1)))) != meet(one,complement(join(sk1,converse(sk1))))
| meet(one,complement(join(sk1,converse(sk1)))) = meet(one,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(sk1,converse(sk1)))),meet(one,complement(join(sk1,converse(sk1))))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_9240,plain,
( complement(join(sk1,converse(sk1))) != complement(sk1)
| meet(one,complement(join(sk1,converse(sk1)))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(sk1,converse(sk1)))),meet(one,complement(join(sk1,converse(sk1))))) )],[refute_0_9238,refute_0_9239]) ).
cnf(refute_0_9241,plain,
meet(one,complement(join(sk1,converse(sk1)))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(join(sk1,converse(sk1))),complement(sk1)) )],[refute_0_9237,refute_0_9240]) ).
cnf(refute_0_9242,plain,
meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) = meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))),
introduced(tautology,[refl,[$fot(meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))))]]) ).
cnf(refute_0_9243,plain,
( meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) != meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1)))))
| meet(one,complement(join(sk1,converse(sk1)))) != meet(one,complement(sk1))
| meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) = meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))),meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1)))))) ),[1,1],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_9244,plain,
( meet(one,complement(join(sk1,converse(sk1)))) != meet(one,complement(sk1))
| meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) = meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))),meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1)))))) )],[refute_0_9242,refute_0_9243]) ).
cnf(refute_0_9245,plain,
meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) = meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(sk1,converse(sk1)))),meet(one,complement(sk1))) )],[refute_0_9241,refute_0_9244]) ).
cnf(refute_0_9246,plain,
( meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) != meet(converse(join(sk1,complement(one))),meet(one,complement(sk1)))
| meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))) != meet(complement(sk1),converse(sk1))
| meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) = meet(complement(sk1),converse(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))))),bind(Y,$fot(meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))))),bind(Z,$fot(meet(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_9247,plain,
( meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))) != meet(complement(sk1),converse(sk1))
| meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) = meet(complement(sk1),converse(sk1)) ),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))),meet(converse(join(sk1,complement(one))),meet(one,complement(sk1)))) )],[refute_0_9245,refute_0_9246]) ).
cnf(refute_0_9248,plain,
meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) = meet(complement(sk1),converse(sk1)),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,complement(one))),meet(one,complement(sk1))),meet(complement(sk1),converse(sk1))) )],[refute_0_9233,refute_0_9247]) ).
cnf(refute_0_9249,plain,
( meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) != meet(complement(sk1),converse(sk1))
| meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) != zero
| meet(complement(sk1),converse(sk1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))),zero) ),[0],$fot(meet(complement(sk1),converse(sk1)))]]) ).
cnf(refute_0_9250,plain,
( meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))) != zero
| meet(complement(sk1),converse(sk1)) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))),meet(complement(sk1),converse(sk1))) )],[refute_0_9248,refute_0_9249]) ).
cnf(refute_0_9251,plain,
meet(complement(sk1),converse(sk1)) = zero,
inference(resolve,[$cnf( $equal(meet(converse(join(sk1,complement(one))),meet(one,complement(join(sk1,converse(sk1))))),zero) )],[refute_0_9221,refute_0_9250]) ).
cnf(refute_0_9252,plain,
join(sk1,meet(complement(sk1),converse(sk1))) = join(sk1,meet(complement(sk1),converse(sk1))),
introduced(tautology,[refl,[$fot(join(sk1,meet(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_9253,plain,
( join(sk1,meet(complement(sk1),converse(sk1))) != join(sk1,meet(complement(sk1),converse(sk1)))
| meet(complement(sk1),converse(sk1)) != zero
| join(sk1,meet(complement(sk1),converse(sk1))) = join(sk1,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,meet(complement(sk1),converse(sk1))),join(sk1,meet(complement(sk1),converse(sk1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_9254,plain,
( meet(complement(sk1),converse(sk1)) != zero
| join(sk1,meet(complement(sk1),converse(sk1))) = join(sk1,zero) ),
inference(resolve,[$cnf( $equal(join(sk1,meet(complement(sk1),converse(sk1))),join(sk1,meet(complement(sk1),converse(sk1)))) )],[refute_0_9252,refute_0_9253]) ).
cnf(refute_0_9255,plain,
join(sk1,meet(complement(sk1),converse(sk1))) = join(sk1,zero),
inference(resolve,[$cnf( $equal(meet(complement(sk1),converse(sk1)),zero) )],[refute_0_9251,refute_0_9254]) ).
cnf(refute_0_9256,plain,
( join(sk1,meet(complement(sk1),converse(sk1))) != join(sk1,zero)
| join(sk1,zero) != sk1
| join(sk1,meet(complement(sk1),converse(sk1))) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(sk1,meet(complement(sk1),converse(sk1))))),bind(Y,$fot(join(sk1,zero))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_9257,plain,
( join(sk1,zero) != sk1
| join(sk1,meet(complement(sk1),converse(sk1))) = sk1 ),
inference(resolve,[$cnf( $equal(join(sk1,meet(complement(sk1),converse(sk1))),join(sk1,zero)) )],[refute_0_9255,refute_0_9256]) ).
cnf(refute_0_9258,plain,
join(sk1,meet(complement(sk1),converse(sk1))) = sk1,
inference(resolve,[$cnf( $equal(join(sk1,zero),sk1) )],[refute_0_8980,refute_0_9257]) ).
cnf(refute_0_9259,plain,
converse(join(sk1,meet(complement(sk1),converse(sk1)))) = converse(join(sk1,meet(complement(sk1),converse(sk1)))),
introduced(tautology,[refl,[$fot(converse(join(sk1,meet(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_9260,plain,
( converse(join(sk1,meet(complement(sk1),converse(sk1)))) != converse(join(sk1,meet(complement(sk1),converse(sk1))))
| join(sk1,meet(complement(sk1),converse(sk1))) != sk1
| converse(join(sk1,meet(complement(sk1),converse(sk1)))) = converse(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,meet(complement(sk1),converse(sk1)))),converse(join(sk1,meet(complement(sk1),converse(sk1))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_9261,plain,
( join(sk1,meet(complement(sk1),converse(sk1))) != sk1
| converse(join(sk1,meet(complement(sk1),converse(sk1)))) = converse(sk1) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,meet(complement(sk1),converse(sk1)))),converse(join(sk1,meet(complement(sk1),converse(sk1))))) )],[refute_0_9259,refute_0_9260]) ).
cnf(refute_0_9262,plain,
converse(join(sk1,meet(complement(sk1),converse(sk1)))) = converse(sk1),
inference(resolve,[$cnf( $equal(join(sk1,meet(complement(sk1),converse(sk1))),sk1) )],[refute_0_9258,refute_0_9261]) ).
cnf(refute_0_9263,plain,
join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) = join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))),
introduced(tautology,[refl,[$fot(join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_9264,plain,
( converse(join(sk1,meet(complement(sk1),converse(sk1)))) != converse(sk1)
| join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) != join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))
| join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) = join(complement(sk1),converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))),join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) ),[1,1],$fot(converse(sk1))]]) ).
cnf(refute_0_9265,plain,
( converse(join(sk1,meet(complement(sk1),converse(sk1)))) != converse(sk1)
| join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) = join(complement(sk1),converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))),join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1)))))) )],[refute_0_9263,refute_0_9264]) ).
cnf(refute_0_9266,plain,
join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) = join(complement(sk1),converse(sk1)),
inference(resolve,[$cnf( $equal(converse(join(sk1,meet(complement(sk1),converse(sk1)))),converse(sk1)) )],[refute_0_9262,refute_0_9265]) ).
cnf(refute_0_9267,plain,
( join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) != join(complement(sk1),converse(sk1))
| join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) != top
| join(complement(sk1),converse(sk1)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))),top) ),[0],$fot(join(complement(sk1),converse(sk1)))]]) ).
cnf(refute_0_9268,plain,
( join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))) != top
| join(complement(sk1),converse(sk1)) = top ),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))),join(complement(sk1),converse(sk1))) )],[refute_0_9266,refute_0_9267]) ).
cnf(refute_0_9269,plain,
join(complement(sk1),converse(sk1)) = top,
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(join(sk1,meet(complement(sk1),converse(sk1))))),top) )],[refute_0_8979,refute_0_9268]) ).
cnf(refute_0_9270,plain,
meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))) = meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))),
introduced(tautology,[refl,[$fot(meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))]]) ).
cnf(refute_0_9271,plain,
( join(complement(sk1),converse(sk1)) != top
| meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))) != meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))
| meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))) = meet(join(sk1,complement(one)),top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))),meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_9272,plain,
( join(complement(sk1),converse(sk1)) != top
| meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))) = meet(join(sk1,complement(one)),top) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))),meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) )],[refute_0_9270,refute_0_9271]) ).
cnf(refute_0_9273,plain,
meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))) = meet(join(sk1,complement(one)),top),
inference(resolve,[$cnf( $equal(join(complement(sk1),converse(sk1)),top) )],[refute_0_9269,refute_0_9272]) ).
cnf(refute_0_9274,plain,
( meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))) != meet(join(sk1,complement(one)),top)
| meet(join(sk1,complement(one)),top) != join(sk1,complement(one))
| meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))) = join(sk1,complement(one)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))),bind(Y,$fot(meet(join(sk1,complement(one)),top))),bind(Z,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_9275,plain,
( meet(join(sk1,complement(one)),top) != join(sk1,complement(one))
| meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))) = join(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))),meet(join(sk1,complement(one)),top)) )],[refute_0_9273,refute_0_9274]) ).
cnf(refute_0_9276,plain,
meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))) = join(sk1,complement(one)),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),top),join(sk1,complement(one))) )],[refute_0_8755,refute_0_9275]) ).
cnf(refute_0_9277,plain,
meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) = meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))),
introduced(tautology,[refl,[$fot(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))]]) ).
cnf(refute_0_9278,plain,
( meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))) != join(sk1,complement(one))
| meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) != meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))
| meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) = meet(one,join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) ),[1,1],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_9279,plain,
( meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))) != join(sk1,complement(one))
| meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) = meet(one,join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) )],[refute_0_9277,refute_0_9278]) ).
cnf(refute_0_9280,plain,
meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) = meet(one,join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))),join(sk1,complement(one))) )],[refute_0_9276,refute_0_9279]) ).
cnf(refute_0_9281,plain,
( meet(one,join(sk1,complement(one))) != sk1
| meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) != meet(one,join(sk1,complement(one)))
| meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))),bind(Y,$fot(meet(one,join(sk1,complement(one))))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_9282,plain,
( meet(one,join(sk1,complement(one))) != sk1
| meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) = sk1 ),
inference(resolve,[$cnf( $equal(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))),meet(one,join(sk1,complement(one)))) )],[refute_0_9280,refute_0_9281]) ).
cnf(refute_0_9283,plain,
meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) = sk1,
inference(resolve,[$cnf( $equal(meet(one,join(sk1,complement(one))),sk1) )],[refute_0_2329,refute_0_9282]) ).
cnf(refute_0_9284,plain,
join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) = join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))),
introduced(tautology,[refl,[$fot(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))]]) ).
cnf(refute_0_9285,plain,
( join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) != join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))
| meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) != sk1
| join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) = join(converse(sk1),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))),join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) ),[1,1],$fot(sk1)]]) ).
cnf(refute_0_9286,plain,
( meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))) != sk1
| join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) = join(converse(sk1),sk1) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))),join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) )],[refute_0_9284,refute_0_9285]) ).
cnf(refute_0_9287,plain,
join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) = join(converse(sk1),sk1),
inference(resolve,[$cnf( $equal(meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))),sk1) )],[refute_0_9283,refute_0_9286]) ).
cnf(refute_0_9288,plain,
( join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) != join(converse(sk1),sk1)
| join(converse(sk1),sk1) != sk1
| join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))),bind(Y,$fot(join(converse(sk1),sk1))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_9289,plain,
( join(converse(sk1),sk1) != sk1
| join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) = sk1 ),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))),join(converse(sk1),sk1)) )],[refute_0_9287,refute_0_9288]) ).
cnf(refute_0_9290,plain,
join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) = sk1,
inference(resolve,[$cnf( $equal(join(converse(sk1),sk1),sk1) )],[refute_0_8754,refute_0_9289]) ).
cnf(refute_0_9291,plain,
complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) = complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))),
introduced(tautology,[refl,[$fot(complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_9292,plain,
( complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) != complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))
| join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) != sk1
| complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))),complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_9293,plain,
( join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))) != sk1
| complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))),complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))) )],[refute_0_9291,refute_0_9292]) ).
cnf(refute_0_9294,plain,
complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) = complement(sk1),
inference(resolve,[$cnf( $equal(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))),sk1) )],[refute_0_9290,refute_0_9293]) ).
cnf(refute_0_9295,plain,
( complement(converse(sk1)) != complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))
| complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))) != complement(sk1)
| complement(converse(sk1)) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(sk1)),complement(sk1)) ),[0],$fot(complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))))]]) ).
cnf(refute_0_9296,plain,
( complement(converse(sk1)) != complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))
| complement(converse(sk1)) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1)))))),complement(sk1)) )],[refute_0_9294,refute_0_9295]) ).
cnf(refute_0_9297,plain,
complement(converse(sk1)) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),complement(join(converse(sk1),meet(one,meet(join(sk1,complement(one)),join(complement(sk1),converse(sk1))))))) )],[refute_0_8410,refute_0_9296]) ).
cnf(refute_0_9298,plain,
composition(complement(converse(sk1)),sk1) = composition(complement(converse(sk1)),sk1),
introduced(tautology,[refl,[$fot(composition(complement(converse(sk1)),sk1))]]) ).
cnf(refute_0_9299,plain,
( complement(converse(sk1)) != complement(sk1)
| composition(complement(converse(sk1)),sk1) != composition(complement(converse(sk1)),sk1)
| composition(complement(converse(sk1)),sk1) = composition(complement(sk1),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(sk1)),sk1),composition(complement(converse(sk1)),sk1)) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_9300,plain,
( complement(converse(sk1)) != complement(sk1)
| composition(complement(converse(sk1)),sk1) = composition(complement(sk1),sk1) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(sk1)),sk1),composition(complement(converse(sk1)),sk1)) )],[refute_0_9298,refute_0_9299]) ).
cnf(refute_0_9301,plain,
composition(complement(converse(sk1)),sk1) = composition(complement(sk1),sk1),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),complement(sk1)) )],[refute_0_9297,refute_0_9300]) ).
cnf(refute_0_9302,plain,
complement(composition(complement(converse(sk1)),sk1)) = complement(composition(complement(converse(sk1)),sk1)),
introduced(tautology,[refl,[$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_9303,plain,
( complement(composition(complement(converse(sk1)),sk1)) != complement(composition(complement(converse(sk1)),sk1))
| composition(complement(converse(sk1)),sk1) != composition(complement(sk1),sk1)
| complement(composition(complement(converse(sk1)),sk1)) = complement(composition(complement(sk1),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),complement(composition(complement(converse(sk1)),sk1))) ),[1,0],$fot(composition(complement(sk1),sk1))]]) ).
cnf(refute_0_9304,plain,
( composition(complement(converse(sk1)),sk1) != composition(complement(sk1),sk1)
| complement(composition(complement(converse(sk1)),sk1)) = complement(composition(complement(sk1),sk1)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_9302,refute_0_9303]) ).
cnf(refute_0_9305,plain,
complement(composition(complement(converse(sk1)),sk1)) = complement(composition(complement(sk1),sk1)),
inference(resolve,[$cnf( $equal(composition(complement(converse(sk1)),sk1),composition(complement(sk1),sk1)) )],[refute_0_9301,refute_0_9304]) ).
cnf(refute_0_9306,plain,
( complement(composition(complement(converse(sk1)),sk1)) != complement(composition(complement(sk1),sk1))
| complement(composition(complement(converse(sk1)),sk1)) != join(one,complement(join(one,composition(top,sk1))))
| complement(composition(complement(sk1),sk1)) = join(one,complement(join(one,composition(top,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),join(one,complement(join(one,composition(top,sk1))))) ),[0],$fot(complement(composition(complement(sk1),sk1)))]]) ).
cnf(refute_0_9307,plain,
( complement(composition(complement(converse(sk1)),sk1)) != join(one,complement(join(one,composition(top,sk1))))
| complement(composition(complement(sk1),sk1)) = join(one,complement(join(one,composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),complement(composition(complement(sk1),sk1))) )],[refute_0_9305,refute_0_9306]) ).
cnf(refute_0_9308,plain,
complement(composition(complement(sk1),sk1)) = join(one,complement(join(one,composition(top,sk1)))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(sk1)),sk1)),join(one,complement(join(one,composition(top,sk1))))) )],[refute_0_7372,refute_0_9307]) ).
cnf(refute_0_9309,plain,
( complement(composition(complement(sk1),sk1)) != join(one,complement(join(one,composition(top,sk1))))
| join(one,complement(join(one,composition(top,sk1)))) = complement(composition(complement(sk1),sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(complement(sk1),sk1)))),bind(Y,$fot(join(one,complement(join(one,composition(top,sk1))))))]]) ).
cnf(refute_0_9310,plain,
join(one,complement(join(one,composition(top,sk1)))) = complement(composition(complement(sk1),sk1)),
inference(resolve,[$cnf( $equal(complement(composition(complement(sk1),sk1)),join(one,complement(join(one,composition(top,sk1))))) )],[refute_0_9308,refute_0_9309]) ).
cnf(refute_0_9311,plain,
converse(join(one,complement(join(one,composition(top,sk1))))) = converse(join(one,complement(join(one,composition(top,sk1))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(join(one,composition(top,sk1))))))]]) ).
cnf(refute_0_9312,plain,
( converse(join(one,complement(join(one,composition(top,sk1))))) != converse(join(one,complement(join(one,composition(top,sk1)))))
| join(one,complement(join(one,composition(top,sk1)))) != complement(composition(complement(sk1),sk1))
| converse(join(one,complement(join(one,composition(top,sk1))))) = converse(complement(composition(complement(sk1),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(one,composition(top,sk1))))),converse(join(one,complement(join(one,composition(top,sk1)))))) ),[1,0],$fot(complement(composition(complement(sk1),sk1)))]]) ).
cnf(refute_0_9313,plain,
( join(one,complement(join(one,composition(top,sk1)))) != complement(composition(complement(sk1),sk1))
| converse(join(one,complement(join(one,composition(top,sk1))))) = converse(complement(composition(complement(sk1),sk1))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(one,composition(top,sk1))))),converse(join(one,complement(join(one,composition(top,sk1)))))) )],[refute_0_9311,refute_0_9312]) ).
cnf(refute_0_9314,plain,
converse(join(one,complement(join(one,composition(top,sk1))))) = converse(complement(composition(complement(sk1),sk1))),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(top,sk1)))),complement(composition(complement(sk1),sk1))) )],[refute_0_9310,refute_0_9313]) ).
cnf(refute_0_9315,plain,
( converse(complement(composition(complement(sk1),sk1))) != complement(converse(composition(complement(sk1),sk1)))
| converse(join(one,complement(join(one,composition(top,sk1))))) != converse(complement(composition(complement(sk1),sk1)))
| converse(join(one,complement(join(one,composition(top,sk1))))) = complement(converse(composition(complement(sk1),sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,complement(join(one,composition(top,sk1))))))),bind(Y,$fot(converse(complement(composition(complement(sk1),sk1))))),bind(Z,$fot(complement(converse(composition(complement(sk1),sk1)))))]]) ).
cnf(refute_0_9316,plain,
( converse(complement(composition(complement(sk1),sk1))) != complement(converse(composition(complement(sk1),sk1)))
| converse(join(one,complement(join(one,composition(top,sk1))))) = complement(converse(composition(complement(sk1),sk1))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(one,composition(top,sk1))))),converse(complement(composition(complement(sk1),sk1)))) )],[refute_0_9314,refute_0_9315]) ).
cnf(refute_0_9317,plain,
converse(join(one,complement(join(one,composition(top,sk1))))) = complement(converse(composition(complement(sk1),sk1))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(sk1),sk1))),complement(converse(composition(complement(sk1),sk1)))) )],[refute_0_8198,refute_0_9316]) ).
cnf(refute_0_9318,plain,
join(one,complement(converse(join(one,composition(top,sk1))))) = converse(join(one,complement(join(one,composition(top,sk1))))),
inference(subst,[],[refute_0_8451:[bind(X_545,$fot(join(one,composition(top,sk1))))]]) ).
cnf(refute_0_9319,plain,
( converse(join(one,complement(join(one,composition(top,sk1))))) != complement(converse(composition(complement(sk1),sk1)))
| join(one,complement(converse(join(one,composition(top,sk1))))) != converse(join(one,complement(join(one,composition(top,sk1)))))
| join(one,complement(converse(join(one,composition(top,sk1))))) = complement(converse(composition(complement(sk1),sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,complement(converse(join(one,composition(top,sk1))))))),bind(Y,$fot(converse(join(one,complement(join(one,composition(top,sk1))))))),bind(Z,$fot(complement(converse(composition(complement(sk1),sk1)))))]]) ).
cnf(refute_0_9320,plain,
( converse(join(one,complement(join(one,composition(top,sk1))))) != complement(converse(composition(complement(sk1),sk1)))
| join(one,complement(converse(join(one,composition(top,sk1))))) = complement(converse(composition(complement(sk1),sk1))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(one,composition(top,sk1))))),converse(join(one,complement(join(one,composition(top,sk1)))))) )],[refute_0_9318,refute_0_9319]) ).
cnf(refute_0_9321,plain,
join(one,complement(converse(join(one,composition(top,sk1))))) = complement(converse(composition(complement(sk1),sk1))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(one,composition(top,sk1))))),complement(converse(composition(complement(sk1),sk1)))) )],[refute_0_9317,refute_0_9320]) ).
cnf(refute_0_9322,plain,
complement(complement(converse(join(one,composition(top,sk1))))) = join(complement(join(one,complement(converse(join(one,composition(top,sk1)))))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)),
inference(subst,[],[refute_0_3237:[bind(X_259,$fot(one)),bind(X_97,$fot(complement(converse(join(one,composition(top,sk1))))))]]) ).
cnf(refute_0_9323,plain,
complement(composition(converse(sk1),complement(sk1))) = join(meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))),meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(converse(join(one,composition(top,sk1))))),bind(X_117,$fot(complement(composition(converse(sk1),complement(sk1)))))]]) ).
cnf(refute_0_9324,plain,
complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) = meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))))),
inference(subst,[],[refute_0_5828:[bind(X_170,$fot(one)),bind(X_97,$fot(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))))]]) ).
cnf(refute_0_9325,plain,
join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,meet(complement(sk1),composition(top,sk1)))))) = top,
inference(subst,[],[refute_0_3456:[bind(X_11,$fot(meet(complement(sk1),composition(top,sk1)))),bind(X_145,$fot(one))]]) ).
cnf(refute_0_9326,plain,
( join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,meet(complement(sk1),composition(top,sk1)))))) != top
| join(one,meet(complement(sk1),composition(top,sk1))) != join(one,composition(top,sk1))
| join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,meet(complement(sk1),composition(top,sk1)))))),top) ),[0,1,0,0],$fot(join(one,composition(top,sk1)))]]) ).
cnf(refute_0_9327,plain,
( join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,meet(complement(sk1),composition(top,sk1)))))) != top
| join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))) = top ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(sk1),composition(top,sk1))),join(one,composition(top,sk1))) )],[refute_0_7180,refute_0_9326]) ).
cnf(refute_0_9328,plain,
join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,meet(complement(sk1),composition(top,sk1)))))),top) )],[refute_0_9325,refute_0_9327]) ).
cnf(refute_0_9329,plain,
join(complement(converse(join(one,composition(top,sk1)))),converse(join(meet(complement(sk1),composition(top,sk1)),one))) = join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))),
inference(subst,[],[refute_0_8299:[bind(A,$fot(complement(converse(join(one,composition(top,sk1)))))),bind(X_12,$fot(meet(complement(sk1),composition(top,sk1))))]]) ).
cnf(refute_0_9330,plain,
join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))) = join(complement(converse(join(one,composition(top,sk1)))),converse(join(meet(complement(sk1),composition(top,sk1)),one))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(converse(join(meet(complement(sk1),composition(top,sk1)),one)))),bind(B,$fot(complement(converse(join(one,composition(top,sk1))))))]]) ).
cnf(refute_0_9331,plain,
( join(complement(converse(join(one,composition(top,sk1)))),converse(join(meet(complement(sk1),composition(top,sk1)),one))) != join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))))
| join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))) != join(complement(converse(join(one,composition(top,sk1)))),converse(join(meet(complement(sk1),composition(top,sk1)),one)))
| join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))) = join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))))),bind(Y,$fot(join(complement(converse(join(one,composition(top,sk1)))),converse(join(meet(complement(sk1),composition(top,sk1)),one))))),bind(Z,$fot(join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))))))]]) ).
cnf(refute_0_9332,plain,
( join(complement(converse(join(one,composition(top,sk1)))),converse(join(meet(complement(sk1),composition(top,sk1)),one))) != join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))))
| join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))) = join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))),join(complement(converse(join(one,composition(top,sk1)))),converse(join(meet(complement(sk1),composition(top,sk1)),one)))) )],[refute_0_9330,refute_0_9331]) ).
cnf(refute_0_9333,plain,
join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))) = join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,composition(top,sk1)))),converse(join(meet(complement(sk1),composition(top,sk1)),one))),join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))))) )],[refute_0_9329,refute_0_9332]) ).
cnf(refute_0_9334,plain,
( join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))) != join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))))
| join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))) != top
| join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))),top) ),[0],$fot(join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))))]]) ).
cnf(refute_0_9335,plain,
( join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))) != top
| join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))),join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))))) )],[refute_0_9333,refute_0_9334]) ).
cnf(refute_0_9336,plain,
join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(meet(complement(sk1),composition(top,sk1)),one)),complement(converse(join(one,composition(top,sk1))))),top) )],[refute_0_9328,refute_0_9335]) ).
cnf(refute_0_9337,plain,
join(complement(converse(join(one,composition(top,sk1)))),composition(converse(sk1),complement(sk1))) = join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(converse(join(one,composition(top,sk1)))))),bind(B,$fot(composition(converse(sk1),complement(sk1))))]]) ).
cnf(refute_0_9338,plain,
converse(composition(converse(complement(sk1)),X_19)) = composition(converse(X_19),complement(sk1)),
inference(subst,[],[refute_0_58:[bind(A,$fot(complement(sk1)))]]) ).
cnf(refute_0_9339,plain,
( converse(complement(sk1)) != complement(converse(sk1))
| converse(composition(converse(complement(sk1)),X_19)) != composition(converse(X_19),complement(sk1))
| converse(composition(complement(converse(sk1)),X_19)) = composition(converse(X_19),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(complement(sk1)),X_19)),composition(converse(X_19),complement(sk1))) ),[0,0,0],$fot(complement(converse(sk1)))]]) ).
cnf(refute_0_9340,plain,
( converse(composition(converse(complement(sk1)),X_19)) != composition(converse(X_19),complement(sk1))
| converse(composition(complement(converse(sk1)),X_19)) = composition(converse(X_19),complement(sk1)) ),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_4366,refute_0_9339]) ).
cnf(refute_0_9341,plain,
converse(composition(complement(converse(sk1)),X_19)) = composition(converse(X_19),complement(sk1)),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(sk1)),X_19)),composition(converse(X_19),complement(sk1))) )],[refute_0_9338,refute_0_9340]) ).
cnf(refute_0_9342,plain,
converse(composition(complement(converse(sk1)),sk1)) = composition(converse(sk1),complement(sk1)),
inference(subst,[],[refute_0_9341:[bind(X_19,$fot(sk1))]]) ).
cnf(refute_0_9343,plain,
meet(complement(sk1),composition(top,sk1)) = complement(complement(meet(complement(sk1),composition(top,sk1)))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(meet(complement(sk1),composition(top,sk1))))]]) ).
cnf(refute_0_9344,plain,
( complement(meet(complement(sk1),composition(top,sk1))) != complement(composition(complement(converse(sk1)),sk1))
| meet(complement(sk1),composition(top,sk1)) != complement(complement(meet(complement(sk1),composition(top,sk1))))
| meet(complement(sk1),composition(top,sk1)) = complement(complement(composition(complement(converse(sk1)),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),composition(top,sk1)),complement(complement(meet(complement(sk1),composition(top,sk1))))) ),[1,0],$fot(complement(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_9345,plain,
( meet(complement(sk1),composition(top,sk1)) != complement(complement(meet(complement(sk1),composition(top,sk1))))
| meet(complement(sk1),composition(top,sk1)) = complement(complement(composition(complement(converse(sk1)),sk1))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(sk1),composition(top,sk1))),complement(composition(complement(converse(sk1)),sk1))) )],[refute_0_7329,refute_0_9344]) ).
cnf(refute_0_9346,plain,
meet(complement(sk1),composition(top,sk1)) = complement(complement(composition(complement(converse(sk1)),sk1))),
inference(resolve,[$cnf( $equal(meet(complement(sk1),composition(top,sk1)),complement(complement(meet(complement(sk1),composition(top,sk1))))) )],[refute_0_9343,refute_0_9345]) ).
cnf(refute_0_9347,plain,
complement(complement(composition(complement(converse(sk1)),sk1))) = composition(complement(converse(sk1)),sk1),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_9348,plain,
( complement(complement(composition(complement(converse(sk1)),sk1))) != composition(complement(converse(sk1)),sk1)
| meet(complement(sk1),composition(top,sk1)) != complement(complement(composition(complement(converse(sk1)),sk1)))
| meet(complement(sk1),composition(top,sk1)) = composition(complement(converse(sk1)),sk1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),composition(top,sk1)),complement(complement(composition(complement(converse(sk1)),sk1)))) ),[1],$fot(composition(complement(converse(sk1)),sk1))]]) ).
cnf(refute_0_9349,plain,
( meet(complement(sk1),composition(top,sk1)) != complement(complement(composition(complement(converse(sk1)),sk1)))
| meet(complement(sk1),composition(top,sk1)) = composition(complement(converse(sk1)),sk1) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(converse(sk1)),sk1))),composition(complement(converse(sk1)),sk1)) )],[refute_0_9347,refute_0_9348]) ).
cnf(refute_0_9350,plain,
meet(complement(sk1),composition(top,sk1)) = composition(complement(converse(sk1)),sk1),
inference(resolve,[$cnf( $equal(meet(complement(sk1),composition(top,sk1)),complement(complement(composition(complement(converse(sk1)),sk1)))) )],[refute_0_9346,refute_0_9349]) ).
cnf(refute_0_9351,plain,
converse(meet(complement(sk1),composition(top,sk1))) = converse(meet(complement(sk1),composition(top,sk1))),
introduced(tautology,[refl,[$fot(converse(meet(complement(sk1),composition(top,sk1))))]]) ).
cnf(refute_0_9352,plain,
( converse(meet(complement(sk1),composition(top,sk1))) != converse(meet(complement(sk1),composition(top,sk1)))
| meet(complement(sk1),composition(top,sk1)) != composition(complement(converse(sk1)),sk1)
| converse(meet(complement(sk1),composition(top,sk1))) = converse(composition(complement(converse(sk1)),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(complement(sk1),composition(top,sk1))),converse(meet(complement(sk1),composition(top,sk1)))) ),[1,0],$fot(composition(complement(converse(sk1)),sk1))]]) ).
cnf(refute_0_9353,plain,
( meet(complement(sk1),composition(top,sk1)) != composition(complement(converse(sk1)),sk1)
| converse(meet(complement(sk1),composition(top,sk1))) = converse(composition(complement(converse(sk1)),sk1)) ),
inference(resolve,[$cnf( $equal(converse(meet(complement(sk1),composition(top,sk1))),converse(meet(complement(sk1),composition(top,sk1)))) )],[refute_0_9351,refute_0_9352]) ).
cnf(refute_0_9354,plain,
converse(meet(complement(sk1),composition(top,sk1))) = converse(composition(complement(converse(sk1)),sk1)),
inference(resolve,[$cnf( $equal(meet(complement(sk1),composition(top,sk1)),composition(complement(converse(sk1)),sk1)) )],[refute_0_9350,refute_0_9353]) ).
cnf(refute_0_9355,plain,
( converse(composition(complement(converse(sk1)),sk1)) != composition(converse(sk1),complement(sk1))
| converse(meet(complement(sk1),composition(top,sk1))) != converse(composition(complement(converse(sk1)),sk1))
| converse(meet(complement(sk1),composition(top,sk1))) = composition(converse(sk1),complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(meet(complement(sk1),composition(top,sk1))))),bind(Y,$fot(converse(composition(complement(converse(sk1)),sk1)))),bind(Z,$fot(composition(converse(sk1),complement(sk1))))]]) ).
cnf(refute_0_9356,plain,
( converse(composition(complement(converse(sk1)),sk1)) != composition(converse(sk1),complement(sk1))
| converse(meet(complement(sk1),composition(top,sk1))) = composition(converse(sk1),complement(sk1)) ),
inference(resolve,[$cnf( $equal(converse(meet(complement(sk1),composition(top,sk1))),converse(composition(complement(converse(sk1)),sk1))) )],[refute_0_9354,refute_0_9355]) ).
cnf(refute_0_9357,plain,
converse(meet(complement(sk1),composition(top,sk1))) = composition(converse(sk1),complement(sk1)),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(sk1)),sk1)),composition(converse(sk1),complement(sk1))) )],[refute_0_9342,refute_0_9356]) ).
cnf(refute_0_9358,plain,
join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))) = join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))),
introduced(tautology,[refl,[$fot(join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))))]]) ).
cnf(refute_0_9359,plain,
( converse(meet(complement(sk1),composition(top,sk1))) != composition(converse(sk1),complement(sk1))
| join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))) != join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))
| join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))) = join(complement(converse(join(one,composition(top,sk1)))),composition(converse(sk1),complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))),join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) ),[1,1],$fot(composition(converse(sk1),complement(sk1)))]]) ).
cnf(refute_0_9360,plain,
( converse(meet(complement(sk1),composition(top,sk1))) != composition(converse(sk1),complement(sk1))
| join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))) = join(complement(converse(join(one,composition(top,sk1)))),composition(converse(sk1),complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))),join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) )],[refute_0_9358,refute_0_9359]) ).
cnf(refute_0_9361,plain,
join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))) = join(complement(converse(join(one,composition(top,sk1)))),composition(converse(sk1),complement(sk1))),
inference(resolve,[$cnf( $equal(converse(meet(complement(sk1),composition(top,sk1))),composition(converse(sk1),complement(sk1))) )],[refute_0_9357,refute_0_9360]) ).
cnf(refute_0_9362,plain,
( join(complement(converse(join(one,composition(top,sk1)))),composition(converse(sk1),complement(sk1))) != join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))
| join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))) != join(complement(converse(join(one,composition(top,sk1)))),composition(converse(sk1),complement(sk1)))
| join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))) = join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))))),bind(Y,$fot(join(complement(converse(join(one,composition(top,sk1)))),composition(converse(sk1),complement(sk1))))),bind(Z,$fot(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))))]]) ).
cnf(refute_0_9363,plain,
( join(complement(converse(join(one,composition(top,sk1)))),composition(converse(sk1),complement(sk1))) != join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))
| join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))) = join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))),join(complement(converse(join(one,composition(top,sk1)))),composition(converse(sk1),complement(sk1)))) )],[refute_0_9361,refute_0_9362]) ).
cnf(refute_0_9364,plain,
join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))) = join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,composition(top,sk1)))),composition(converse(sk1),complement(sk1))),join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) )],[refute_0_9337,refute_0_9363]) ).
cnf(refute_0_9365,plain,
join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) = join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))))]]) ).
cnf(refute_0_9366,plain,
( join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))) != join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))
| join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) != join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))))
| join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) = join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))),join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))))) ),[1,1],$fot(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))]]) ).
cnf(refute_0_9367,plain,
( join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))) != join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))
| join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) = join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))),join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))))) )],[refute_0_9365,refute_0_9366]) ).
cnf(refute_0_9368,plain,
join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) = join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1)))),join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) )],[refute_0_9364,refute_0_9367]) ).
cnf(refute_0_9369,plain,
( join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) != join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))
| join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) != top
| join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))),top) ),[0],$fot(join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))))]]) ).
cnf(refute_0_9370,plain,
( join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))) != top
| join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) = top ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))),join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))) )],[refute_0_9368,refute_0_9369]) ).
cnf(refute_0_9371,plain,
join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(join(one,composition(top,sk1)))),converse(meet(complement(sk1),composition(top,sk1))))),top) )],[refute_0_9336,refute_0_9370]) ).
cnf(refute_0_9372,plain,
( complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) != meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))))))
| join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) != top
| complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) = meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_9373,plain,
( complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) != meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))))))
| complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) = meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),top) )],[refute_0_9371,refute_0_9372]) ).
cnf(refute_0_9374,plain,
complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) = meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))),
inference(resolve,[$cnf( $equal(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(join(one,join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))))))) )],[refute_0_9324,refute_0_9373]) ).
cnf(refute_0_9375,plain,
meet(converse(join(one,composition(top,sk1))),complement(composition(converse(sk1),complement(sk1)))) = meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(complement(composition(converse(sk1),complement(sk1))))),bind(X_7,$fot(converse(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_9376,plain,
complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) = meet(converse(join(one,composition(top,sk1))),complement(composition(converse(sk1),complement(sk1)))),
inference(subst,[],[refute_0_3735:[bind(X_298,$fot(converse(join(one,composition(top,sk1))))),bind(X_299,$fot(composition(converse(sk1),complement(sk1))))]]) ).
cnf(refute_0_9377,plain,
( complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) != meet(converse(join(one,composition(top,sk1))),complement(composition(converse(sk1),complement(sk1))))
| meet(converse(join(one,composition(top,sk1))),complement(composition(converse(sk1),complement(sk1)))) != meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1))))
| complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) = meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))))),bind(Y,$fot(meet(converse(join(one,composition(top,sk1))),complement(composition(converse(sk1),complement(sk1)))))),bind(Z,$fot(meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1))))))]]) ).
cnf(refute_0_9378,plain,
( meet(converse(join(one,composition(top,sk1))),complement(composition(converse(sk1),complement(sk1)))) != meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1))))
| complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) = meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),meet(converse(join(one,composition(top,sk1))),complement(composition(converse(sk1),complement(sk1))))) )],[refute_0_9376,refute_0_9377]) ).
cnf(refute_0_9379,plain,
complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) = meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))),
inference(resolve,[$cnf( $equal(meet(converse(join(one,composition(top,sk1))),complement(composition(converse(sk1),complement(sk1)))),meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1))))) )],[refute_0_9375,refute_0_9378]) ).
cnf(refute_0_9380,plain,
( complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) != meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1))))
| complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) != meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top)))
| meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))) = meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top)))) ),[0],$fot(meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_9381,plain,
( complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) != meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top)))
| meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))) = meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1))))) )],[refute_0_9379,refute_0_9380]) ).
cnf(refute_0_9382,plain,
meet(one,converse(join(one,composition(top,sk1)))) = one,
inference(subst,[],[refute_0_1410:[bind(X_12,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_9383,plain,
meet(converse(join(one,composition(top,sk1))),one) = meet(one,converse(join(one,composition(top,sk1)))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(converse(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_9384,plain,
( meet(converse(join(one,composition(top,sk1))),one) != meet(one,converse(join(one,composition(top,sk1))))
| meet(one,converse(join(one,composition(top,sk1)))) != one
| meet(converse(join(one,composition(top,sk1))),one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(join(one,composition(top,sk1))),one))),bind(Y,$fot(meet(one,converse(join(one,composition(top,sk1)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_9385,plain,
( meet(one,converse(join(one,composition(top,sk1)))) != one
| meet(converse(join(one,composition(top,sk1))),one) = one ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,composition(top,sk1))),one),meet(one,converse(join(one,composition(top,sk1))))) )],[refute_0_9383,refute_0_9384]) ).
cnf(refute_0_9386,plain,
meet(converse(join(one,composition(top,sk1))),one) = one,
inference(resolve,[$cnf( $equal(meet(one,converse(join(one,composition(top,sk1)))),one) )],[refute_0_9382,refute_0_9385]) ).
cnf(refute_0_9387,plain,
join(complement(one),composition(converse(sk1),complement(sk1))) = complement(one),
inference(subst,[],[refute_0_1663:[bind(X_60,$fot(sk1))]]) ).
cnf(refute_0_9388,plain,
join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))) = join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))),
introduced(tautology,[refl,[$fot(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))]]) ).
cnf(refute_0_9389,plain,
( join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))) != join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))
| meet(top,complement(one)) != complement(one)
| join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))) = join(complement(one),composition(converse(sk1),complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))),join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_9390,plain,
( meet(top,complement(one)) != complement(one)
| join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))) = join(complement(one),composition(converse(sk1),complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))),join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))) )],[refute_0_9388,refute_0_9389]) ).
cnf(refute_0_9391,plain,
join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))) = join(complement(one),composition(converse(sk1),complement(sk1))),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_4957,refute_0_9390]) ).
cnf(refute_0_9392,plain,
( join(complement(one),composition(converse(sk1),complement(sk1))) != complement(one)
| join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))) != join(complement(one),composition(converse(sk1),complement(sk1)))
| join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))) = complement(one) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))),bind(Y,$fot(join(complement(one),composition(converse(sk1),complement(sk1))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_9393,plain,
( join(complement(one),composition(converse(sk1),complement(sk1))) != complement(one)
| join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))),join(complement(one),composition(converse(sk1),complement(sk1)))) )],[refute_0_9391,refute_0_9392]) ).
cnf(refute_0_9394,plain,
join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(sk1),complement(sk1))),complement(one)) )],[refute_0_9387,refute_0_9393]) ).
cnf(refute_0_9395,plain,
complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))) = complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))]]) ).
cnf(refute_0_9396,plain,
( complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))) != complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))
| join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))) != complement(one)
| complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_9397,plain,
( join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))) != complement(one)
| complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) )],[refute_0_9395,refute_0_9396]) ).
cnf(refute_0_9398,plain,
complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))),complement(one)) )],[refute_0_9394,refute_0_9397]) ).
cnf(refute_0_9399,plain,
( complement(complement(one)) != one
| complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))) != complement(complement(one))
| complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))),bind(Y,$fot(complement(complement(one)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_9400,plain,
( complement(complement(one)) != one
| complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))) = one ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))),complement(complement(one))) )],[refute_0_9398,refute_0_9399]) ).
cnf(refute_0_9401,plain,
complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))) = one,
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3123,refute_0_9400]) ).
cnf(refute_0_9402,plain,
meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) = meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))),
introduced(tautology,[refl,[$fot(meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))))]]) ).
cnf(refute_0_9403,plain,
( complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))) != one
| meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) != meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))
| meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) = meet(converse(join(one,composition(top,sk1))),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))),meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_9404,plain,
( complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))) != one
| meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) = meet(converse(join(one,composition(top,sk1))),one) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))),meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))) )],[refute_0_9402,refute_0_9403]) ).
cnf(refute_0_9405,plain,
meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) = meet(converse(join(one,composition(top,sk1))),one),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))),one) )],[refute_0_9401,refute_0_9404]) ).
cnf(refute_0_9406,plain,
( meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) != meet(converse(join(one,composition(top,sk1))),one)
| meet(converse(join(one,composition(top,sk1))),one) != one
| meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))))),bind(Y,$fot(meet(converse(join(one,composition(top,sk1))),one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_9407,plain,
( meet(converse(join(one,composition(top,sk1))),one) != one
| meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) = one ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))),meet(converse(join(one,composition(top,sk1))),one)) )],[refute_0_9405,refute_0_9406]) ).
cnf(refute_0_9408,plain,
meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) = one,
inference(resolve,[$cnf( $equal(meet(converse(join(one,composition(top,sk1))),one),one) )],[refute_0_9386,refute_0_9407]) ).
cnf(refute_0_9409,plain,
complement(join(meet(top,complement(one)),join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))) = meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))),
inference(subst,[],[refute_0_4801:[bind(X_298,$fot(converse(join(one,composition(top,sk1))))),bind(X_31,$fot(meet(top,complement(one)))),bind(X_32,$fot(composition(converse(sk1),complement(sk1))))]]) ).
cnf(refute_0_9410,plain,
meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))) = complement(join(meet(top,complement(one)),join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))),
inference(subst,[],[refute_0_4975:[bind(X_279,$fot(top)),bind(X_299,$fot(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))))]]) ).
cnf(refute_0_9411,plain,
( complement(join(meet(top,complement(one)),join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))) != meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))
| meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))) != complement(join(meet(top,complement(one)),join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))))
| meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))) = meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))))),bind(Y,$fot(complement(join(meet(top,complement(one)),join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))))),bind(Z,$fot(meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))))]]) ).
cnf(refute_0_9412,plain,
( complement(join(meet(top,complement(one)),join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))) != meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))
| meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))) = meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))),complement(join(meet(top,complement(one)),join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))))) )],[refute_0_9410,refute_0_9411]) ).
cnf(refute_0_9413,plain,
meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))) = meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))),meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))) )],[refute_0_9409,refute_0_9412]) ).
cnf(refute_0_9414,plain,
meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) = meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(join(one,complement(top)))),bind(X_7,$fot(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))))]]) ).
cnf(refute_0_9415,plain,
( meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) != meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))))
| meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))) != meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))
| meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) = meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))))),bind(Y,$fot(meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))))),bind(Z,$fot(meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))))]]) ).
cnf(refute_0_9416,plain,
( meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))) != meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))
| meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) = meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))),meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))))) )],[refute_0_9414,refute_0_9415]) ).
cnf(refute_0_9417,plain,
meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) = meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1))))))),meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))) )],[refute_0_9413,refute_0_9416]) ).
cnf(refute_0_9418,plain,
( meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) != meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))
| meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) != one
| meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))))),bind(Y,$fot(meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_9419,plain,
( meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))) != one
| meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) = one ),
inference(resolve,[$cnf( $equal(meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))),meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1)))))) )],[refute_0_9417,refute_0_9418]) ).
cnf(refute_0_9420,plain,
meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) = one,
inference(resolve,[$cnf( $equal(meet(converse(join(one,composition(top,sk1))),complement(join(meet(top,complement(one)),composition(converse(sk1),complement(sk1))))),one) )],[refute_0_9408,refute_0_9419]) ).
cnf(refute_0_9421,plain,
( meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))) != meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top)))
| meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))) != one
| meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))),one) ),[0],$fot(meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))))]]) ).
cnf(refute_0_9422,plain,
( meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))) != meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top)))
| meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))) = one ),
inference(resolve,[$cnf( $equal(meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top))),one) )],[refute_0_9420,refute_0_9421]) ).
cnf(refute_0_9423,plain,
( complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))) != meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top)))
| meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))) = one ),
inference(resolve,[$cnf( $equal(meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))),meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top)))) )],[refute_0_9381,refute_0_9422]) ).
cnf(refute_0_9424,plain,
meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))) = one,
inference(resolve,[$cnf( $equal(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),meet(complement(join(composition(converse(sk1),complement(sk1)),complement(converse(join(one,composition(top,sk1)))))),join(one,complement(top)))) )],[refute_0_9374,refute_0_9423]) ).
cnf(refute_0_9425,plain,
( complement(composition(converse(sk1),complement(sk1))) != join(meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))),meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))))
| meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))) != one
| complement(composition(converse(sk1),complement(sk1))) = join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(sk1),complement(sk1))),join(meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))),meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_9426,plain,
( complement(composition(converse(sk1),complement(sk1))) != join(meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))),meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))))
| complement(composition(converse(sk1),complement(sk1))) = join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))),one) )],[refute_0_9424,refute_0_9425]) ).
cnf(refute_0_9427,plain,
complement(composition(converse(sk1),complement(sk1))) = join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(composition(converse(sk1),complement(sk1))),join(meet(complement(composition(converse(sk1),complement(sk1))),converse(join(one,composition(top,sk1)))),meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))))) )],[refute_0_9323,refute_0_9426]) ).
cnf(refute_0_9428,plain,
join(one,converse(composition(top,sk1))) = converse(join(one,composition(top,sk1))),
inference(subst,[],[refute_0_1405:[bind(X_12,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_9429,plain,
join(top,converse(complement(sk1))) = top,
inference(subst,[],[refute_0_459:[bind(X_31,$fot(converse(complement(sk1))))]]) ).
cnf(refute_0_9430,plain,
composition(join(top,converse(complement(sk1))),sk1) = composition(join(top,converse(complement(sk1))),sk1),
introduced(tautology,[refl,[$fot(composition(join(top,converse(complement(sk1))),sk1))]]) ).
cnf(refute_0_9431,plain,
( composition(join(top,converse(complement(sk1))),sk1) != composition(join(top,converse(complement(sk1))),sk1)
| join(top,converse(complement(sk1))) != top
| composition(join(top,converse(complement(sk1))),sk1) = composition(top,sk1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,converse(complement(sk1))),sk1),composition(join(top,converse(complement(sk1))),sk1)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_9432,plain,
( join(top,converse(complement(sk1))) != top
| composition(join(top,converse(complement(sk1))),sk1) = composition(top,sk1) ),
inference(resolve,[$cnf( $equal(composition(join(top,converse(complement(sk1))),sk1),composition(join(top,converse(complement(sk1))),sk1)) )],[refute_0_9430,refute_0_9431]) ).
cnf(refute_0_9433,plain,
composition(join(top,converse(complement(sk1))),sk1) = composition(top,sk1),
inference(resolve,[$cnf( $equal(join(top,converse(complement(sk1))),top) )],[refute_0_9429,refute_0_9432]) ).
cnf(refute_0_9434,plain,
join(composition(top,sk1),composition(converse(complement(sk1)),sk1)) = composition(join(top,converse(complement(sk1))),sk1),
inference(subst,[],[refute_0_6401:[bind(A,$fot(top)),bind(B,$fot(converse(complement(sk1)))),bind(C,$fot(sk1))]]) ).
cnf(refute_0_9435,plain,
( composition(join(top,converse(complement(sk1))),sk1) != composition(top,sk1)
| join(composition(top,sk1),composition(converse(complement(sk1)),sk1)) != composition(join(top,converse(complement(sk1))),sk1)
| join(composition(top,sk1),composition(converse(complement(sk1)),sk1)) = composition(top,sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(composition(top,sk1),composition(converse(complement(sk1)),sk1)))),bind(Y,$fot(composition(join(top,converse(complement(sk1))),sk1))),bind(Z,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_9436,plain,
( composition(join(top,converse(complement(sk1))),sk1) != composition(top,sk1)
| join(composition(top,sk1),composition(converse(complement(sk1)),sk1)) = composition(top,sk1) ),
inference(resolve,[$cnf( $equal(join(composition(top,sk1),composition(converse(complement(sk1)),sk1)),composition(join(top,converse(complement(sk1))),sk1)) )],[refute_0_9434,refute_0_9435]) ).
cnf(refute_0_9437,plain,
join(composition(top,sk1),composition(converse(complement(sk1)),sk1)) = composition(top,sk1),
inference(resolve,[$cnf( $equal(composition(join(top,converse(complement(sk1))),sk1),composition(top,sk1)) )],[refute_0_9433,refute_0_9436]) ).
cnf(refute_0_9438,plain,
converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))) = converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))),
introduced(tautology,[refl,[$fot(converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))))]]) ).
cnf(refute_0_9439,plain,
( converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))) != converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1)))
| join(composition(top,sk1),composition(converse(complement(sk1)),sk1)) != composition(top,sk1)
| converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))) = converse(composition(top,sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))),converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1)))) ),[1,0],$fot(composition(top,sk1))]]) ).
cnf(refute_0_9440,plain,
( join(composition(top,sk1),composition(converse(complement(sk1)),sk1)) != composition(top,sk1)
| converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))) = converse(composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))),converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1)))) )],[refute_0_9438,refute_0_9439]) ).
cnf(refute_0_9441,plain,
converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))) = converse(composition(top,sk1)),
inference(resolve,[$cnf( $equal(join(composition(top,sk1),composition(converse(complement(sk1)),sk1)),composition(top,sk1)) )],[refute_0_9437,refute_0_9440]) ).
cnf(refute_0_9442,plain,
join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))) = converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))),
inference(subst,[],[refute_0_8667:[bind(X_11,$fot(composition(top,sk1))),bind(X_54,$fot(sk1)),bind(X_55,$fot(complement(sk1)))]]) ).
cnf(refute_0_9443,plain,
( converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))) != converse(composition(top,sk1))
| join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))) != converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1)))
| join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))) = converse(composition(top,sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))))),bind(Y,$fot(converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))))),bind(Z,$fot(converse(composition(top,sk1))))]]) ).
cnf(refute_0_9444,plain,
( converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))) != converse(composition(top,sk1))
| join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))) = converse(composition(top,sk1)) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))),converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1)))) )],[refute_0_9442,refute_0_9443]) ).
cnf(refute_0_9445,plain,
join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))) = converse(composition(top,sk1)),
inference(resolve,[$cnf( $equal(converse(join(composition(top,sk1),composition(converse(complement(sk1)),sk1))),converse(composition(top,sk1))) )],[refute_0_9441,refute_0_9444]) ).
cnf(refute_0_9446,plain,
join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))) = join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))),
introduced(tautology,[refl,[$fot(join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))))]]) ).
cnf(refute_0_9447,plain,
( join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))) != converse(composition(top,sk1))
| join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))) != join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))))
| join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))) = join(one,converse(composition(top,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))),join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))))) ),[1,1],$fot(converse(composition(top,sk1)))]]) ).
cnf(refute_0_9448,plain,
( join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))) != converse(composition(top,sk1))
| join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))) = join(one,converse(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))),join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))))) )],[refute_0_9446,refute_0_9447]) ).
cnf(refute_0_9449,plain,
join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))) = join(one,converse(composition(top,sk1))),
inference(resolve,[$cnf( $equal(join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))),converse(composition(top,sk1))) )],[refute_0_9445,refute_0_9448]) ).
cnf(refute_0_9450,plain,
( join(one,converse(composition(top,sk1))) != converse(join(one,composition(top,sk1)))
| join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))) != join(one,converse(composition(top,sk1)))
| join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))) = converse(join(one,composition(top,sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))))),bind(Y,$fot(join(one,converse(composition(top,sk1))))),bind(Z,$fot(converse(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_9451,plain,
( join(one,converse(composition(top,sk1))) != converse(join(one,composition(top,sk1)))
| join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))) = converse(join(one,composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))),join(one,converse(composition(top,sk1)))) )],[refute_0_9449,refute_0_9450]) ).
cnf(refute_0_9452,plain,
join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))) = converse(join(one,composition(top,sk1))),
inference(resolve,[$cnf( $equal(join(one,converse(composition(top,sk1))),converse(join(one,composition(top,sk1)))) )],[refute_0_9428,refute_0_9451]) ).
cnf(refute_0_9453,plain,
join(one,join(meet(complement(one),converse(join(one,X_354))),C)) = join(join(one,meet(complement(one),converse(join(one,X_354)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(one)),bind(B,$fot(meet(complement(one),converse(join(one,X_354)))))]]) ).
cnf(refute_0_9454,plain,
converse(join(one,X_354)) = join(one,meet(complement(one),converse(join(one,X_354)))),
inference(subst,[],[refute_0_3228:[bind(X_12,$fot(X_354))]]) ).
cnf(refute_0_9455,plain,
( converse(join(one,X_354)) != join(one,meet(complement(one),converse(join(one,X_354))))
| join(one,meet(complement(one),converse(join(one,X_354)))) = converse(join(one,X_354)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,X_354)))),bind(Y,$fot(join(one,meet(complement(one),converse(join(one,X_354))))))]]) ).
cnf(refute_0_9456,plain,
join(one,meet(complement(one),converse(join(one,X_354)))) = converse(join(one,X_354)),
inference(resolve,[$cnf( $equal(converse(join(one,X_354)),join(one,meet(complement(one),converse(join(one,X_354))))) )],[refute_0_9454,refute_0_9455]) ).
cnf(refute_0_9457,plain,
( join(one,join(meet(complement(one),converse(join(one,X_354))),C)) != join(join(one,meet(complement(one),converse(join(one,X_354)))),C)
| join(one,meet(complement(one),converse(join(one,X_354)))) != converse(join(one,X_354))
| join(one,join(meet(complement(one),converse(join(one,X_354))),C)) = join(converse(join(one,X_354)),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(meet(complement(one),converse(join(one,X_354))),C)),join(join(one,meet(complement(one),converse(join(one,X_354)))),C)) ),[1,0],$fot(converse(join(one,X_354)))]]) ).
cnf(refute_0_9458,plain,
( join(one,join(meet(complement(one),converse(join(one,X_354))),C)) != join(join(one,meet(complement(one),converse(join(one,X_354)))),C)
| join(one,join(meet(complement(one),converse(join(one,X_354))),C)) = join(converse(join(one,X_354)),C) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),converse(join(one,X_354)))),converse(join(one,X_354))) )],[refute_0_9456,refute_0_9457]) ).
cnf(refute_0_9459,plain,
join(one,join(meet(complement(one),converse(join(one,X_354))),C)) = join(converse(join(one,X_354)),C),
inference(resolve,[$cnf( $equal(join(one,join(meet(complement(one),converse(join(one,X_354))),C)),join(join(one,meet(complement(one),converse(join(one,X_354)))),C)) )],[refute_0_9453,refute_0_9458]) ).
cnf(refute_0_9460,plain,
join(A,join(one,meet(complement(one),converse(join(one,X_354))))) = join(one,join(meet(complement(one),converse(join(one,X_354))),A)),
inference(subst,[],[refute_0_269:[bind(X_31,$fot(one)),bind(X_32,$fot(meet(complement(one),converse(join(one,X_354)))))]]) ).
cnf(refute_0_9461,plain,
( join(A,join(one,meet(complement(one),converse(join(one,X_354))))) != join(one,join(meet(complement(one),converse(join(one,X_354))),A))
| join(one,meet(complement(one),converse(join(one,X_354)))) != converse(join(one,X_354))
| join(A,converse(join(one,X_354))) = join(one,join(meet(complement(one),converse(join(one,X_354))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(one,meet(complement(one),converse(join(one,X_354))))),join(one,join(meet(complement(one),converse(join(one,X_354))),A))) ),[0,1],$fot(converse(join(one,X_354)))]]) ).
cnf(refute_0_9462,plain,
( join(A,join(one,meet(complement(one),converse(join(one,X_354))))) != join(one,join(meet(complement(one),converse(join(one,X_354))),A))
| join(A,converse(join(one,X_354))) = join(one,join(meet(complement(one),converse(join(one,X_354))),A)) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),converse(join(one,X_354)))),converse(join(one,X_354))) )],[refute_0_9456,refute_0_9461]) ).
cnf(refute_0_9463,plain,
join(A,converse(join(one,X_354))) = join(one,join(meet(complement(one),converse(join(one,X_354))),A)),
inference(resolve,[$cnf( $equal(join(A,join(one,meet(complement(one),converse(join(one,X_354))))),join(one,join(meet(complement(one),converse(join(one,X_354))),A))) )],[refute_0_9460,refute_0_9462]) ).
cnf(refute_0_9464,plain,
( join(A,converse(join(one,X_354))) != join(one,join(meet(complement(one),converse(join(one,X_354))),A))
| join(one,join(meet(complement(one),converse(join(one,X_354))),A)) = join(A,converse(join(one,X_354))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,converse(join(one,X_354))))),bind(Y,$fot(join(one,join(meet(complement(one),converse(join(one,X_354))),A))))]]) ).
cnf(refute_0_9465,plain,
join(one,join(meet(complement(one),converse(join(one,X_354))),A)) = join(A,converse(join(one,X_354))),
inference(resolve,[$cnf( $equal(join(A,converse(join(one,X_354))),join(one,join(meet(complement(one),converse(join(one,X_354))),A))) )],[refute_0_9463,refute_0_9464]) ).
cnf(refute_0_9466,plain,
join(one,join(meet(complement(one),converse(join(one,X_354))),C)) = join(C,converse(join(one,X_354))),
inference(subst,[],[refute_0_9465:[bind(A,$fot(C))]]) ).
cnf(refute_0_9467,plain,
( join(one,join(meet(complement(one),converse(join(one,X_354))),C)) != join(C,converse(join(one,X_354)))
| join(one,join(meet(complement(one),converse(join(one,X_354))),C)) != join(converse(join(one,X_354)),C)
| join(C,converse(join(one,X_354))) = join(converse(join(one,X_354)),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(meet(complement(one),converse(join(one,X_354))),C)),join(converse(join(one,X_354)),C)) ),[0],$fot(join(C,converse(join(one,X_354))))]]) ).
cnf(refute_0_9468,plain,
( join(one,join(meet(complement(one),converse(join(one,X_354))),C)) != join(converse(join(one,X_354)),C)
| join(C,converse(join(one,X_354))) = join(converse(join(one,X_354)),C) ),
inference(resolve,[$cnf( $equal(join(one,join(meet(complement(one),converse(join(one,X_354))),C)),join(C,converse(join(one,X_354)))) )],[refute_0_9466,refute_0_9467]) ).
cnf(refute_0_9469,plain,
join(converse(join(one,X_354)),C) = join(one,join(converse(X_354),C)),
inference(subst,[],[refute_0_1345:[bind(X_58,$fot(X_354))]]) ).
cnf(refute_0_9470,plain,
( join(C,converse(join(one,X_354))) != join(converse(join(one,X_354)),C)
| join(converse(join(one,X_354)),C) != join(one,join(converse(X_354),C))
| join(C,converse(join(one,X_354))) = join(one,join(converse(X_354),C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(C,converse(join(one,X_354))),join(one,join(converse(X_354),C))) ),[0],$fot(join(converse(join(one,X_354)),C))]]) ).
cnf(refute_0_9471,plain,
( join(C,converse(join(one,X_354))) != join(converse(join(one,X_354)),C)
| join(C,converse(join(one,X_354))) = join(one,join(converse(X_354),C)) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,X_354)),C),join(one,join(converse(X_354),C))) )],[refute_0_9469,refute_0_9470]) ).
cnf(refute_0_9472,plain,
( join(one,join(meet(complement(one),converse(join(one,X_354))),C)) != join(converse(join(one,X_354)),C)
| join(C,converse(join(one,X_354))) = join(one,join(converse(X_354),C)) ),
inference(resolve,[$cnf( $equal(join(C,converse(join(one,X_354))),join(converse(join(one,X_354)),C)) )],[refute_0_9468,refute_0_9471]) ).
cnf(refute_0_9473,plain,
join(C,converse(join(one,X_354))) = join(one,join(converse(X_354),C)),
inference(resolve,[$cnf( $equal(join(one,join(meet(complement(one),converse(join(one,X_354))),C)),join(converse(join(one,X_354)),C)) )],[refute_0_9459,refute_0_9472]) ).
cnf(refute_0_9474,plain,
join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))) = join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))),
inference(subst,[],[refute_0_9473:[bind(C,$fot(composition(converse(sk1),complement(sk1)))),bind(X_354,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_9475,plain,
( join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))) != join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))))
| join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))) != converse(join(one,composition(top,sk1)))
| join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))) = converse(join(one,composition(top,sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))))),bind(Y,$fot(join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))))),bind(Z,$fot(converse(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_9476,plain,
( join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))) != converse(join(one,composition(top,sk1)))
| join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))) = converse(join(one,composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))),join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1))))) )],[refute_0_9474,refute_0_9475]) ).
cnf(refute_0_9477,plain,
join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))) = converse(join(one,composition(top,sk1))),
inference(resolve,[$cnf( $equal(join(one,join(converse(composition(top,sk1)),composition(converse(sk1),complement(sk1)))),converse(join(one,composition(top,sk1)))) )],[refute_0_9452,refute_0_9476]) ).
cnf(refute_0_9478,plain,
complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))) = complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))),
introduced(tautology,[refl,[$fot(complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))))]]) ).
cnf(refute_0_9479,plain,
( complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))) != complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))))
| join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))) != converse(join(one,composition(top,sk1)))
| complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))) = complement(converse(join(one,composition(top,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))),complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))))) ),[1,0],$fot(converse(join(one,composition(top,sk1))))]]) ).
cnf(refute_0_9480,plain,
( join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))) != converse(join(one,composition(top,sk1)))
| complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))) = complement(converse(join(one,composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))),complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))))) )],[refute_0_9478,refute_0_9479]) ).
cnf(refute_0_9481,plain,
complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))) = complement(converse(join(one,composition(top,sk1)))),
inference(resolve,[$cnf( $equal(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))),converse(join(one,composition(top,sk1)))) )],[refute_0_9477,refute_0_9480]) ).
cnf(refute_0_9482,plain,
complement(join(converse(join(one,composition(top,sk1))),composition(converse(sk1),complement(sk1)))) = complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))),
inference(subst,[],[refute_0_3210:[bind(A,$fot(composition(converse(sk1),complement(sk1)))),bind(B,$fot(converse(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_9483,plain,
meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))) = complement(join(converse(join(one,composition(top,sk1))),composition(converse(sk1),complement(sk1)))),
inference(subst,[],[refute_0_4347:[bind(X_299,$fot(composition(converse(sk1),complement(sk1)))),bind(X_97,$fot(converse(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_9484,plain,
( complement(join(converse(join(one,composition(top,sk1))),composition(converse(sk1),complement(sk1)))) != complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))))
| meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))) != complement(join(converse(join(one,composition(top,sk1))),composition(converse(sk1),complement(sk1))))
| meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))) = complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))))),bind(Y,$fot(complement(join(converse(join(one,composition(top,sk1))),composition(converse(sk1),complement(sk1)))))),bind(Z,$fot(complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))))))]]) ).
cnf(refute_0_9485,plain,
( complement(join(converse(join(one,composition(top,sk1))),composition(converse(sk1),complement(sk1)))) != complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))))
| meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))) = complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))),complement(join(converse(join(one,composition(top,sk1))),composition(converse(sk1),complement(sk1))))) )],[refute_0_9483,refute_0_9484]) ).
cnf(refute_0_9486,plain,
meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))) = complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))),
inference(resolve,[$cnf( $equal(complement(join(converse(join(one,composition(top,sk1))),composition(converse(sk1),complement(sk1)))),complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))))) )],[refute_0_9482,refute_0_9485]) ).
cnf(refute_0_9487,plain,
( complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))) != complement(converse(join(one,composition(top,sk1))))
| meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))) != complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))))
| meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))) = complement(converse(join(one,composition(top,sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))))),bind(Y,$fot(complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))))),bind(Z,$fot(complement(converse(join(one,composition(top,sk1))))))]]) ).
cnf(refute_0_9488,plain,
( complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))) != complement(converse(join(one,composition(top,sk1))))
| meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))) = complement(converse(join(one,composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))),complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1)))))) )],[refute_0_9486,refute_0_9487]) ).
cnf(refute_0_9489,plain,
meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))) = complement(converse(join(one,composition(top,sk1)))),
inference(resolve,[$cnf( $equal(complement(join(composition(converse(sk1),complement(sk1)),converse(join(one,composition(top,sk1))))),complement(converse(join(one,composition(top,sk1))))) )],[refute_0_9481,refute_0_9488]) ).
cnf(refute_0_9490,plain,
join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))) = join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))),
introduced(tautology,[refl,[$fot(join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))))]]) ).
cnf(refute_0_9491,plain,
( join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))) != join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))))
| meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))) != complement(converse(join(one,composition(top,sk1))))
| join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))) = join(one,complement(converse(join(one,composition(top,sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))),join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))))) ),[1,1],$fot(complement(converse(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_9492,plain,
( meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))) != complement(converse(join(one,composition(top,sk1))))
| join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))) = join(one,complement(converse(join(one,composition(top,sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))),join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))))) )],[refute_0_9490,refute_0_9491]) ).
cnf(refute_0_9493,plain,
join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))) = join(one,complement(converse(join(one,composition(top,sk1))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))),complement(converse(join(one,composition(top,sk1))))) )],[refute_0_9489,refute_0_9492]) ).
cnf(refute_0_9494,plain,
( complement(composition(converse(sk1),complement(sk1))) != join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))))
| join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))) != join(one,complement(converse(join(one,composition(top,sk1)))))
| complement(composition(converse(sk1),complement(sk1))) = join(one,complement(converse(join(one,composition(top,sk1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(converse(sk1),complement(sk1))),join(one,complement(converse(join(one,composition(top,sk1)))))) ),[0],$fot(join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))))]]) ).
cnf(refute_0_9495,plain,
( complement(composition(converse(sk1),complement(sk1))) != join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))))
| complement(composition(converse(sk1),complement(sk1))) = join(one,complement(converse(join(one,composition(top,sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1))))),join(one,complement(converse(join(one,composition(top,sk1)))))) )],[refute_0_9493,refute_0_9494]) ).
cnf(refute_0_9496,plain,
complement(composition(converse(sk1),complement(sk1))) = join(one,complement(converse(join(one,composition(top,sk1))))),
inference(resolve,[$cnf( $equal(complement(composition(converse(sk1),complement(sk1))),join(one,meet(complement(converse(join(one,composition(top,sk1)))),complement(composition(converse(sk1),complement(sk1)))))) )],[refute_0_9427,refute_0_9495]) ).
cnf(refute_0_9497,plain,
( complement(composition(converse(sk1),complement(sk1))) != join(one,complement(converse(join(one,composition(top,sk1)))))
| join(one,complement(converse(join(one,composition(top,sk1))))) = complement(composition(converse(sk1),complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(converse(sk1),complement(sk1))))),bind(Y,$fot(join(one,complement(converse(join(one,composition(top,sk1)))))))]]) ).
cnf(refute_0_9498,plain,
join(one,complement(converse(join(one,composition(top,sk1))))) = complement(composition(converse(sk1),complement(sk1))),
inference(resolve,[$cnf( $equal(complement(composition(converse(sk1),complement(sk1))),join(one,complement(converse(join(one,composition(top,sk1)))))) )],[refute_0_9496,refute_0_9497]) ).
cnf(refute_0_9499,plain,
( complement(complement(converse(join(one,composition(top,sk1))))) != join(complement(join(one,complement(converse(join(one,composition(top,sk1)))))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))
| join(one,complement(converse(join(one,composition(top,sk1))))) != complement(composition(converse(sk1),complement(sk1)))
| complement(complement(converse(join(one,composition(top,sk1))))) = join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(join(one,composition(top,sk1))))),join(complement(join(one,complement(converse(join(one,composition(top,sk1)))))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))) ),[1,0,0],$fot(complement(composition(converse(sk1),complement(sk1))))]]) ).
cnf(refute_0_9500,plain,
( complement(complement(converse(join(one,composition(top,sk1))))) != join(complement(join(one,complement(converse(join(one,composition(top,sk1)))))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))
| complement(complement(converse(join(one,composition(top,sk1))))) = join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(one,composition(top,sk1))))),complement(composition(converse(sk1),complement(sk1)))) )],[refute_0_9498,refute_0_9499]) ).
cnf(refute_0_9501,plain,
complement(complement(converse(join(one,composition(top,sk1))))) = join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)),
inference(resolve,[$cnf( $equal(complement(complement(converse(join(one,composition(top,sk1))))),join(complement(join(one,complement(converse(join(one,composition(top,sk1)))))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))) )],[refute_0_9322,refute_0_9500]) ).
cnf(refute_0_9502,plain,
complement(complement(converse(join(one,composition(top,sk1))))) = converse(join(one,composition(top,sk1))),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(converse(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_9503,plain,
( complement(complement(converse(join(one,composition(top,sk1))))) != converse(join(one,composition(top,sk1)))
| complement(complement(converse(join(one,composition(top,sk1))))) != join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))
| converse(join(one,composition(top,sk1))) = join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(join(one,composition(top,sk1))))),join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))) ),[0],$fot(converse(join(one,composition(top,sk1))))]]) ).
cnf(refute_0_9504,plain,
( complement(complement(converse(join(one,composition(top,sk1))))) != join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))
| converse(join(one,composition(top,sk1))) = join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(join(one,composition(top,sk1))))),converse(join(one,composition(top,sk1)))) )],[refute_0_9502,refute_0_9503]) ).
cnf(refute_0_9505,plain,
join(composition(converse(sk1),complement(sk1)),one) = join(one,composition(converse(sk1),complement(sk1))),
inference(subst,[],[refute_0_1401:[bind(A,$fot(composition(converse(sk1),complement(sk1))))]]) ).
cnf(refute_0_9506,plain,
meet(one,complement(complement(converse(join(one,composition(top,sk1)))))) = meet(one,complement(complement(converse(join(one,composition(top,sk1)))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(converse(join(one,composition(top,sk1)))))))]]) ).
cnf(refute_0_9507,plain,
( complement(complement(converse(join(one,composition(top,sk1))))) != converse(join(one,composition(top,sk1)))
| meet(one,complement(complement(converse(join(one,composition(top,sk1)))))) != meet(one,complement(complement(converse(join(one,composition(top,sk1))))))
| meet(one,complement(complement(converse(join(one,composition(top,sk1)))))) = meet(one,converse(join(one,composition(top,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(converse(join(one,composition(top,sk1)))))),meet(one,complement(complement(converse(join(one,composition(top,sk1))))))) ),[1,1],$fot(converse(join(one,composition(top,sk1))))]]) ).
cnf(refute_0_9508,plain,
( complement(complement(converse(join(one,composition(top,sk1))))) != converse(join(one,composition(top,sk1)))
| meet(one,complement(complement(converse(join(one,composition(top,sk1)))))) = meet(one,converse(join(one,composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(join(one,composition(top,sk1)))))),meet(one,complement(complement(converse(join(one,composition(top,sk1))))))) )],[refute_0_9506,refute_0_9507]) ).
cnf(refute_0_9509,plain,
meet(one,complement(complement(converse(join(one,composition(top,sk1)))))) = meet(one,converse(join(one,composition(top,sk1)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(join(one,composition(top,sk1))))),converse(join(one,composition(top,sk1)))) )],[refute_0_9502,refute_0_9508]) ).
cnf(refute_0_9510,plain,
( meet(one,complement(complement(converse(join(one,composition(top,sk1)))))) != meet(one,converse(join(one,composition(top,sk1))))
| meet(one,converse(join(one,composition(top,sk1)))) != one
| meet(one,complement(complement(converse(join(one,composition(top,sk1)))))) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(one,complement(complement(converse(join(one,composition(top,sk1)))))))),bind(Y,$fot(meet(one,converse(join(one,composition(top,sk1)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_9511,plain,
( meet(one,converse(join(one,composition(top,sk1)))) != one
| meet(one,complement(complement(converse(join(one,composition(top,sk1)))))) = one ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(join(one,composition(top,sk1)))))),meet(one,converse(join(one,composition(top,sk1))))) )],[refute_0_9509,refute_0_9510]) ).
cnf(refute_0_9512,plain,
meet(one,complement(complement(converse(join(one,composition(top,sk1)))))) = one,
inference(resolve,[$cnf( $equal(meet(one,converse(join(one,composition(top,sk1)))),one) )],[refute_0_9382,refute_0_9511]) ).
cnf(refute_0_9513,plain,
meet(complement(complement(converse(join(one,composition(top,sk1))))),one) = meet(one,complement(complement(converse(join(one,composition(top,sk1)))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(complement(converse(join(one,composition(top,sk1)))))))]]) ).
cnf(refute_0_9514,plain,
( meet(complement(complement(converse(join(one,composition(top,sk1))))),one) != meet(one,complement(complement(converse(join(one,composition(top,sk1))))))
| meet(one,complement(complement(converse(join(one,composition(top,sk1)))))) != one
| meet(complement(complement(converse(join(one,composition(top,sk1))))),one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(complement(converse(join(one,composition(top,sk1))))),one))),bind(Y,$fot(meet(one,complement(complement(converse(join(one,composition(top,sk1)))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_9515,plain,
( meet(one,complement(complement(converse(join(one,composition(top,sk1)))))) != one
| meet(complement(complement(converse(join(one,composition(top,sk1))))),one) = one ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(join(one,composition(top,sk1))))),one),meet(one,complement(complement(converse(join(one,composition(top,sk1))))))) )],[refute_0_9513,refute_0_9514]) ).
cnf(refute_0_9516,plain,
meet(complement(complement(converse(join(one,composition(top,sk1))))),one) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(join(one,composition(top,sk1)))))),one) )],[refute_0_9512,refute_0_9515]) ).
cnf(refute_0_9517,plain,
join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)),
introduced(tautology,[refl,[$fot(join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)))]]) ).
cnf(refute_0_9518,plain,
( join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) != join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))
| meet(complement(complement(converse(join(one,composition(top,sk1))))),one) != one
| join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(composition(converse(sk1),complement(sk1)),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)),join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_9519,plain,
( meet(complement(complement(converse(join(one,composition(top,sk1))))),one) != one
| join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(composition(converse(sk1),complement(sk1)),one) ),
inference(resolve,[$cnf( $equal(join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)),join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))) )],[refute_0_9517,refute_0_9518]) ).
cnf(refute_0_9520,plain,
join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(composition(converse(sk1),complement(sk1)),one),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(join(one,composition(top,sk1))))),one),one) )],[refute_0_9516,refute_0_9519]) ).
cnf(refute_0_9521,plain,
complement(complement(composition(converse(sk1),complement(sk1)))) = composition(converse(sk1),complement(sk1)),
inference(subst,[],[refute_0_623:[bind(X_97,$fot(composition(converse(sk1),complement(sk1))))]]) ).
cnf(refute_0_9522,plain,
join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)),
introduced(tautology,[refl,[$fot(join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)))]]) ).
cnf(refute_0_9523,plain,
( complement(complement(composition(converse(sk1),complement(sk1)))) != composition(converse(sk1),complement(sk1))
| join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) != join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))
| join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)),join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))) ),[1,0],$fot(composition(converse(sk1),complement(sk1)))]]) ).
cnf(refute_0_9524,plain,
( complement(complement(composition(converse(sk1),complement(sk1)))) != composition(converse(sk1),complement(sk1))
| join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)),join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))) )],[refute_0_9522,refute_0_9523]) ).
cnf(refute_0_9525,plain,
join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)),
inference(resolve,[$cnf( $equal(complement(complement(composition(converse(sk1),complement(sk1)))),composition(converse(sk1),complement(sk1))) )],[refute_0_9521,refute_0_9524]) ).
cnf(refute_0_9526,plain,
( join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) != join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))
| join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) != join(composition(converse(sk1),complement(sk1)),one)
| join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(composition(converse(sk1),complement(sk1)),one) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)))),bind(Y,$fot(join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)))),bind(Z,$fot(join(composition(converse(sk1),complement(sk1)),one)))]]) ).
cnf(refute_0_9527,plain,
( join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) != join(composition(converse(sk1),complement(sk1)),one)
| join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(composition(converse(sk1),complement(sk1)),one) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)),join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))) )],[refute_0_9525,refute_0_9526]) ).
cnf(refute_0_9528,plain,
join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(composition(converse(sk1),complement(sk1)),one),
inference(resolve,[$cnf( $equal(join(composition(converse(sk1),complement(sk1)),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)),join(composition(converse(sk1),complement(sk1)),one)) )],[refute_0_9520,refute_0_9527]) ).
cnf(refute_0_9529,plain,
( join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) != join(composition(converse(sk1),complement(sk1)),one)
| join(composition(converse(sk1),complement(sk1)),one) != join(one,composition(converse(sk1),complement(sk1)))
| join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(one,composition(converse(sk1),complement(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)))),bind(Y,$fot(join(composition(converse(sk1),complement(sk1)),one))),bind(Z,$fot(join(one,composition(converse(sk1),complement(sk1)))))]]) ).
cnf(refute_0_9530,plain,
( join(composition(converse(sk1),complement(sk1)),one) != join(one,composition(converse(sk1),complement(sk1)))
| join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(one,composition(converse(sk1),complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)),join(composition(converse(sk1),complement(sk1)),one)) )],[refute_0_9528,refute_0_9529]) ).
cnf(refute_0_9531,plain,
join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) = join(one,composition(converse(sk1),complement(sk1))),
inference(resolve,[$cnf( $equal(join(composition(converse(sk1),complement(sk1)),one),join(one,composition(converse(sk1),complement(sk1)))) )],[refute_0_9505,refute_0_9530]) ).
cnf(refute_0_9532,plain,
( converse(join(one,composition(top,sk1))) != join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))
| join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)) != join(one,composition(converse(sk1),complement(sk1)))
| converse(join(one,composition(top,sk1))) = join(one,composition(converse(sk1),complement(sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,composition(top,sk1))),join(one,composition(converse(sk1),complement(sk1)))) ),[0],$fot(join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)))]]) ).
cnf(refute_0_9533,plain,
( converse(join(one,composition(top,sk1))) != join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))
| converse(join(one,composition(top,sk1))) = join(one,composition(converse(sk1),complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one)),join(one,composition(converse(sk1),complement(sk1)))) )],[refute_0_9531,refute_0_9532]) ).
cnf(refute_0_9534,plain,
( complement(complement(converse(join(one,composition(top,sk1))))) != join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))
| converse(join(one,composition(top,sk1))) = join(one,composition(converse(sk1),complement(sk1))) ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(top,sk1))),join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))) )],[refute_0_9504,refute_0_9533]) ).
cnf(refute_0_9535,plain,
converse(join(one,composition(top,sk1))) = join(one,composition(converse(sk1),complement(sk1))),
inference(resolve,[$cnf( $equal(complement(complement(converse(join(one,composition(top,sk1))))),join(complement(complement(composition(converse(sk1),complement(sk1)))),meet(complement(complement(converse(join(one,composition(top,sk1))))),one))) )],[refute_0_9501,refute_0_9534]) ).
cnf(refute_0_9536,plain,
( converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) != converse(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))
| join(sk1,converse(complement(converse(meet(one,complement(sk1)))))) != converse(complement(converse(meet(one,complement(sk1)))))
| converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) = converse(converse(complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)),converse(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))) ),[1,0],$fot(converse(complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_9537,plain,
( converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) != converse(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))
| converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) = converse(converse(complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))),converse(complement(converse(meet(one,complement(sk1)))))) )],[refute_0_3723,refute_0_9536]) ).
cnf(refute_0_9538,plain,
converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) = converse(converse(complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)),converse(join(sk1,converse(complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_4259,refute_0_9537]) ).
cnf(refute_0_9539,plain,
( converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) != converse(converse(complement(converse(meet(one,complement(sk1))))))
| converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) != join(converse(sk1),complement(converse(meet(one,complement(sk1)))))
| join(converse(sk1),complement(converse(meet(one,complement(sk1))))) = converse(converse(complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)),converse(converse(complement(converse(meet(one,complement(sk1))))))) ),[0],$fot(join(converse(sk1),complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_9540,plain,
( converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) != converse(converse(complement(converse(meet(one,complement(sk1))))))
| join(converse(sk1),complement(converse(meet(one,complement(sk1))))) = converse(converse(complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)),join(converse(sk1),complement(converse(meet(one,complement(sk1)))))) )],[refute_0_4262,refute_0_9539]) ).
cnf(refute_0_9541,plain,
( converse(converse(complement(converse(meet(one,complement(sk1)))))) != complement(converse(meet(one,complement(sk1))))
| join(converse(sk1),complement(converse(meet(one,complement(sk1))))) != converse(converse(complement(converse(meet(one,complement(sk1))))))
| join(converse(sk1),complement(converse(meet(one,complement(sk1))))) = complement(converse(meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),complement(converse(meet(one,complement(sk1))))),converse(converse(complement(converse(meet(one,complement(sk1))))))) ),[1],$fot(complement(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_9542,plain,
( join(converse(sk1),complement(converse(meet(one,complement(sk1))))) != converse(converse(complement(converse(meet(one,complement(sk1))))))
| join(converse(sk1),complement(converse(meet(one,complement(sk1))))) = complement(converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(meet(one,complement(sk1)))))),complement(converse(meet(one,complement(sk1))))) )],[refute_0_4274,refute_0_9541]) ).
cnf(refute_0_9543,plain,
( converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)) != converse(converse(complement(converse(meet(one,complement(sk1))))))
| join(converse(sk1),complement(converse(meet(one,complement(sk1))))) = complement(converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(converse(meet(one,complement(sk1))))),converse(converse(complement(converse(meet(one,complement(sk1))))))) )],[refute_0_9540,refute_0_9542]) ).
cnf(refute_0_9544,plain,
join(converse(sk1),complement(converse(meet(one,complement(sk1))))) = complement(converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(meet(one,complement(sk1))))),sk1)),converse(converse(complement(converse(meet(one,complement(sk1))))))) )],[refute_0_9538,refute_0_9543]) ).
cnf(refute_0_9545,plain,
join(converse(sk1),converse(sk1)) = converse(sk1),
inference(subst,[],[refute_0_3181:[bind(X_268,$fot(converse(sk1)))]]) ).
cnf(refute_0_9546,plain,
join(complement(one),join(converse(sk1),converse(sk1))) = join(complement(one),join(converse(sk1),converse(sk1))),
introduced(tautology,[refl,[$fot(join(complement(one),join(converse(sk1),converse(sk1))))]]) ).
cnf(refute_0_9547,plain,
( join(complement(one),join(converse(sk1),converse(sk1))) != join(complement(one),join(converse(sk1),converse(sk1)))
| join(converse(sk1),converse(sk1)) != converse(sk1)
| join(complement(one),join(converse(sk1),converse(sk1))) = join(complement(one),converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(sk1),converse(sk1))),join(complement(one),join(converse(sk1),converse(sk1)))) ),[1,1],$fot(converse(sk1))]]) ).
cnf(refute_0_9548,plain,
( join(converse(sk1),converse(sk1)) != converse(sk1)
| join(complement(one),join(converse(sk1),converse(sk1))) = join(complement(one),converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),converse(sk1))),join(complement(one),join(converse(sk1),converse(sk1)))) )],[refute_0_9546,refute_0_9547]) ).
cnf(refute_0_9549,plain,
join(complement(one),join(converse(sk1),converse(sk1))) = join(complement(one),converse(sk1)),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(sk1)),converse(sk1)) )],[refute_0_9545,refute_0_9548]) ).
cnf(refute_0_9550,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| join(complement(one),join(converse(sk1),converse(sk1))) != join(complement(one),converse(sk1))
| join(complement(one),join(converse(sk1),converse(sk1))) = converse(join(sk1,complement(one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(one),join(converse(sk1),converse(sk1))))),bind(Y,$fot(join(complement(one),converse(sk1)))),bind(Z,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_9551,plain,
( join(complement(one),converse(sk1)) != converse(join(sk1,complement(one)))
| join(complement(one),join(converse(sk1),converse(sk1))) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),converse(sk1))),join(complement(one),converse(sk1))) )],[refute_0_9549,refute_0_9550]) ).
cnf(refute_0_9552,plain,
join(complement(one),join(converse(sk1),converse(sk1))) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(sk1)),converse(join(sk1,complement(one)))) )],[refute_0_5141,refute_0_9551]) ).
cnf(refute_0_9553,plain,
join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))) = join(X_31,join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_269:[bind(A,$fot(meet(one,complement(converse(complement(join(sk1,complement(one)))))))),bind(X_32,$fot(complement(one)))]]) ).
cnf(refute_0_9554,plain,
complement(converse(complement(join(sk1,complement(one))))) = join(meet(complement(converse(complement(join(sk1,complement(one))))),one),meet(complement(one),complement(converse(complement(join(sk1,complement(one))))))),
inference(subst,[],[refute_0_1899:[bind(X_116,$fot(one)),bind(X_117,$fot(complement(converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_9555,plain,
( complement(one) != meet(complement(one),complement(converse(complement(join(sk1,complement(one))))))
| meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_9556,plain,
meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(converse(complement(join(sk1,complement(one))))))) )],[refute_0_2877,refute_0_9555]) ).
cnf(refute_0_9557,plain,
( complement(converse(complement(join(sk1,complement(one))))) != join(meet(complement(converse(complement(join(sk1,complement(one))))),one),meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))))
| meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))) != complement(one)
| complement(converse(complement(join(sk1,complement(one))))) = join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(join(sk1,complement(one))))),join(meet(complement(converse(complement(join(sk1,complement(one))))),one),meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_9558,plain,
( complement(converse(complement(join(sk1,complement(one))))) != join(meet(complement(converse(complement(join(sk1,complement(one))))),one),meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))))
| complement(converse(complement(join(sk1,complement(one))))) = join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))),complement(one)) )],[refute_0_9556,refute_0_9557]) ).
cnf(refute_0_9559,plain,
complement(converse(complement(join(sk1,complement(one))))) = join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(sk1,complement(one))))),join(meet(complement(converse(complement(join(sk1,complement(one))))),one),meet(complement(one),complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_9554,refute_0_9558]) ).
cnf(refute_0_9560,plain,
meet(complement(converse(complement(join(sk1,complement(one))))),one) = meet(one,complement(converse(complement(join(sk1,complement(one)))))),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(one)),bind(X_7,$fot(complement(converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_9561,plain,
join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)) = join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)))]]) ).
cnf(refute_0_9562,plain,
( join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)) != join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one))
| meet(complement(converse(complement(join(sk1,complement(one))))),one) != meet(one,complement(converse(complement(join(sk1,complement(one))))))
| join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)) = join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)),join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one))) ),[1,1],$fot(meet(one,complement(converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_9563,plain,
( meet(complement(converse(complement(join(sk1,complement(one))))),one) != meet(one,complement(converse(complement(join(sk1,complement(one))))))
| join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)) = join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)),join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one))) )],[refute_0_9561,refute_0_9562]) ).
cnf(refute_0_9564,plain,
join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)) = join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(join(sk1,complement(one))))),one),meet(one,complement(converse(complement(join(sk1,complement(one))))))) )],[refute_0_9560,refute_0_9563]) ).
cnf(refute_0_9565,plain,
join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one)) = join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)),
inference(subst,[],[refute_0_2226:[bind(A,$fot(meet(complement(converse(complement(join(sk1,complement(one))))),one)))]]) ).
cnf(refute_0_9566,plain,
( join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)) != join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one)) != join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one))
| join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one)) = join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)))),bind(Z,$fot(join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_9567,plain,
( join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)) != join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one)) = join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one)),join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one))) )],[refute_0_9565,refute_0_9566]) ).
cnf(refute_0_9568,plain,
join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one)) = join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(complement(join(sk1,complement(one))))),one)),join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_9564,refute_0_9567]) ).
cnf(refute_0_9569,plain,
( complement(converse(complement(join(sk1,complement(one))))) != join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one))
| join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one)) != join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| complement(converse(complement(join(sk1,complement(one))))) = join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(join(sk1,complement(one))))),join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),[0],$fot(join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one)))]]) ).
cnf(refute_0_9570,plain,
( complement(converse(complement(join(sk1,complement(one))))) != join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one))
| complement(converse(complement(join(sk1,complement(one))))) = join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one)),join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_9568,refute_0_9569]) ).
cnf(refute_0_9571,plain,
complement(converse(complement(join(sk1,complement(one))))) = join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(sk1,complement(one))))),join(meet(complement(converse(complement(join(sk1,complement(one))))),one),complement(one))) )],[refute_0_9559,refute_0_9570]) ).
cnf(refute_0_9572,plain,
( complement(converse(complement(join(sk1,complement(one))))) != join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))) = complement(converse(complement(join(sk1,complement(one))))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(complement(join(sk1,complement(one))))))),bind(Y,$fot(join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_9573,plain,
join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))) = complement(converse(complement(join(sk1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(sk1,complement(one))))),join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_9571,refute_0_9572]) ).
cnf(refute_0_9574,plain,
( join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))) != complement(converse(complement(join(sk1,complement(one)))))
| join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))) != join(X_31,join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))) = join(X_31,complement(converse(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))),join(X_31,join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))))) ),[1,1],$fot(complement(converse(complement(join(sk1,complement(one))))))]]) ).
cnf(refute_0_9575,plain,
( join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))) != join(X_31,join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))) = join(X_31,complement(converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))),complement(converse(complement(join(sk1,complement(one)))))) )],[refute_0_9573,refute_0_9574]) ).
cnf(refute_0_9576,plain,
join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))) = join(X_31,complement(converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))),join(X_31,join(complement(one),meet(one,complement(converse(complement(join(sk1,complement(one))))))))) )],[refute_0_9553,refute_0_9575]) ).
cnf(refute_0_9577,plain,
join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))) = join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),
inference(subst,[],[refute_0_4586:[bind(X_155,$fot(complement(one))),bind(X_156,$fot(meet(one,complement(converse(complement(join(sk1,complement(one)))))))),bind(X_157,$fot(X_31))]]) ).
cnf(refute_0_9578,plain,
( join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))) != join(X_31,complement(converse(complement(join(sk1,complement(one))))))
| join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))) != join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = join(X_31,complement(converse(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))),join(X_31,complement(converse(complement(join(sk1,complement(one))))))) ),[0],$fot(join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_9579,plain,
( join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))) != join(X_31,complement(converse(complement(join(sk1,complement(one))))))
| join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = join(X_31,complement(converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))),join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) )],[refute_0_9577,refute_0_9578]) ).
cnf(refute_0_9580,plain,
join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = join(X_31,complement(converse(complement(join(sk1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(one))),join(X_31,complement(converse(complement(join(sk1,complement(one))))))) )],[refute_0_9576,refute_0_9579]) ).
cnf(refute_0_9581,plain,
join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))) = join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))),
introduced(tautology,[refl,[$fot(join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))))]]) ).
cnf(refute_0_9582,plain,
( join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))) != join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))
| meet(one,complement(converse(complement(join(sk1,complement(one)))))) != meet(one,complement(converse(meet(one,complement(sk1)))))
| join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))) = join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) ),[1,1],$fot(meet(one,complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_9583,plain,
( meet(one,complement(converse(complement(join(sk1,complement(one)))))) != meet(one,complement(converse(meet(one,complement(sk1)))))
| join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))) = join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))) ),
inference(resolve,[$cnf( $equal(join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) )],[refute_0_9581,refute_0_9582]) ).
cnf(refute_0_9584,plain,
join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))) = join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(join(sk1,complement(one)))))),meet(one,complement(converse(meet(one,complement(sk1)))))) )],[refute_0_2519,refute_0_9583]) ).
cnf(refute_0_9585,plain,
join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))))]]) ).
cnf(refute_0_9586,plain,
( join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))) != join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))
| join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) != join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))))
| join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) ),[1,1],$fot(join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_9587,plain,
( join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))) != join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))
| join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))))) )],[refute_0_9585,refute_0_9586]) ).
cnf(refute_0_9588,plain,
join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) = join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))),
inference(resolve,[$cnf( $equal(join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one))))))),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) )],[refute_0_9584,refute_0_9587]) ).
cnf(refute_0_9589,plain,
( join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) != join(X_31,complement(converse(complement(join(sk1,complement(one))))))
| join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) != join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))))
| join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) = join(X_31,complement(converse(complement(join(sk1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),join(X_31,complement(converse(complement(join(sk1,complement(one))))))) ),[0],$fot(join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_9590,plain,
( join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) != join(X_31,complement(converse(complement(join(sk1,complement(one))))))
| join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) = join(X_31,complement(converse(complement(join(sk1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_9588,refute_0_9589]) ).
cnf(refute_0_9591,plain,
join(X_31,complement(converse(complement(join(sk1,complement(one)))))) = join(X_31,complement(converse(complement(join(sk1,complement(one)))))),
introduced(tautology,[refl,[$fot(join(X_31,complement(converse(complement(join(sk1,complement(one)))))))]]) ).
cnf(refute_0_9592,plain,
( complement(converse(complement(join(sk1,complement(one))))) != complement(converse(meet(one,complement(sk1))))
| join(X_31,complement(converse(complement(join(sk1,complement(one)))))) != join(X_31,complement(converse(complement(join(sk1,complement(one))))))
| join(X_31,complement(converse(complement(join(sk1,complement(one)))))) = join(X_31,complement(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(converse(complement(join(sk1,complement(one))))))) ),[1,1],$fot(complement(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_9593,plain,
( complement(converse(complement(join(sk1,complement(one))))) != complement(converse(meet(one,complement(sk1))))
| join(X_31,complement(converse(complement(join(sk1,complement(one)))))) = join(X_31,complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(X_31,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(converse(complement(join(sk1,complement(one))))))) )],[refute_0_9591,refute_0_9592]) ).
cnf(refute_0_9594,plain,
join(X_31,complement(converse(complement(join(sk1,complement(one)))))) = join(X_31,complement(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(sk1,complement(one))))),complement(converse(meet(one,complement(sk1))))) )],[refute_0_2515,refute_0_9593]) ).
cnf(refute_0_9595,plain,
( join(X_31,complement(converse(complement(join(sk1,complement(one)))))) != join(X_31,complement(converse(meet(one,complement(sk1)))))
| join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) != join(X_31,complement(converse(complement(join(sk1,complement(one))))))
| join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) = join(X_31,complement(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))),join(X_31,complement(converse(complement(join(sk1,complement(one))))))) ),[1],$fot(join(X_31,complement(converse(meet(one,complement(sk1))))))]]) ).
cnf(refute_0_9596,plain,
( join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) != join(X_31,complement(converse(complement(join(sk1,complement(one))))))
| join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) = join(X_31,complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(X_31,complement(converse(complement(join(sk1,complement(one)))))),join(X_31,complement(converse(meet(one,complement(sk1)))))) )],[refute_0_9594,refute_0_9595]) ).
cnf(refute_0_9597,plain,
( join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))) != join(X_31,complement(converse(complement(join(sk1,complement(one))))))
| join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) = join(X_31,complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))),join(X_31,complement(converse(complement(join(sk1,complement(one))))))) )],[refute_0_9590,refute_0_9596]) ).
cnf(refute_0_9598,plain,
join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) = join(X_31,complement(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_31,meet(one,complement(converse(complement(join(sk1,complement(one)))))))),join(X_31,complement(converse(complement(join(sk1,complement(one))))))) )],[refute_0_9580,refute_0_9597]) ).
cnf(refute_0_9599,plain,
join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))) = join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))),
introduced(tautology,[refl,[$fot(join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_9600,plain,
( join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))) != join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))
| meet(one,complement(converse(meet(one,complement(sk1))))) != complement(converse(complement(sk1)))
| join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))) = join(X_31,complement(converse(complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) ),[1,1],$fot(complement(converse(complement(sk1))))]]) ).
cnf(refute_0_9601,plain,
( meet(one,complement(converse(meet(one,complement(sk1))))) != complement(converse(complement(sk1)))
| join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))) = join(X_31,complement(converse(complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) )],[refute_0_9599,refute_0_9600]) ).
cnf(refute_0_9602,plain,
join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))) = join(X_31,complement(converse(complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(meet(one,complement(sk1))))),complement(converse(complement(sk1)))) )],[refute_0_2994,refute_0_9601]) ).
cnf(refute_0_9603,plain,
join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) = join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))))]]) ).
cnf(refute_0_9604,plain,
( join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))) != join(X_31,complement(converse(complement(sk1))))
| join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) != join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))))
| join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) = join(complement(one),join(X_31,complement(converse(complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))),join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))))) ),[1,1],$fot(join(X_31,complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_9605,plain,
( join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))) != join(X_31,complement(converse(complement(sk1))))
| join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) = join(complement(one),join(X_31,complement(converse(complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))),join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))))) )],[refute_0_9603,refute_0_9604]) ).
cnf(refute_0_9606,plain,
join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) = join(complement(one),join(X_31,complement(converse(complement(sk1))))),
inference(resolve,[$cnf( $equal(join(X_31,meet(one,complement(converse(meet(one,complement(sk1)))))),join(X_31,complement(converse(complement(sk1))))) )],[refute_0_9602,refute_0_9605]) ).
cnf(refute_0_9607,plain,
( join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) != join(X_31,complement(converse(meet(one,complement(sk1)))))
| join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) != join(complement(one),join(X_31,complement(converse(complement(sk1)))))
| join(complement(one),join(X_31,complement(converse(complement(sk1))))) = join(X_31,complement(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))),join(X_31,complement(converse(meet(one,complement(sk1)))))) ),[0],$fot(join(complement(one),join(X_31,complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_9608,plain,
( join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))) != join(X_31,complement(converse(meet(one,complement(sk1)))))
| join(complement(one),join(X_31,complement(converse(complement(sk1))))) = join(X_31,complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))),join(complement(one),join(X_31,complement(converse(complement(sk1)))))) )],[refute_0_9606,refute_0_9607]) ).
cnf(refute_0_9609,plain,
join(complement(one),join(X_31,complement(converse(complement(sk1))))) = join(X_31,complement(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_31,meet(one,complement(converse(meet(one,complement(sk1))))))),join(X_31,complement(converse(meet(one,complement(sk1)))))) )],[refute_0_9598,refute_0_9608]) ).
cnf(refute_0_9610,plain,
join(X_31,complement(converse(complement(sk1)))) = join(X_31,complement(converse(complement(sk1)))),
introduced(tautology,[refl,[$fot(join(X_31,complement(converse(complement(sk1)))))]]) ).
cnf(refute_0_9611,plain,
( complement(converse(complement(sk1))) != converse(sk1)
| join(X_31,complement(converse(complement(sk1)))) != join(X_31,complement(converse(complement(sk1))))
| join(X_31,complement(converse(complement(sk1)))) = join(X_31,converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,complement(converse(complement(sk1)))),join(X_31,complement(converse(complement(sk1))))) ),[1,1],$fot(converse(sk1))]]) ).
cnf(refute_0_9612,plain,
( complement(converse(complement(sk1))) != converse(sk1)
| join(X_31,complement(converse(complement(sk1)))) = join(X_31,converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(X_31,complement(converse(complement(sk1)))),join(X_31,complement(converse(complement(sk1))))) )],[refute_0_9610,refute_0_9611]) ).
cnf(refute_0_9613,plain,
join(X_31,complement(converse(complement(sk1)))) = join(X_31,converse(sk1)),
inference(resolve,[$cnf( $equal(complement(converse(complement(sk1))),converse(sk1)) )],[refute_0_4373,refute_0_9612]) ).
cnf(refute_0_9614,plain,
join(complement(one),join(X_31,complement(converse(complement(sk1))))) = join(complement(one),join(X_31,complement(converse(complement(sk1))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(X_31,complement(converse(complement(sk1))))))]]) ).
cnf(refute_0_9615,plain,
( join(X_31,complement(converse(complement(sk1)))) != join(X_31,converse(sk1))
| join(complement(one),join(X_31,complement(converse(complement(sk1))))) != join(complement(one),join(X_31,complement(converse(complement(sk1)))))
| join(complement(one),join(X_31,complement(converse(complement(sk1))))) = join(complement(one),join(X_31,converse(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_31,complement(converse(complement(sk1))))),join(complement(one),join(X_31,complement(converse(complement(sk1)))))) ),[1,1],$fot(join(X_31,converse(sk1)))]]) ).
cnf(refute_0_9616,plain,
( join(X_31,complement(converse(complement(sk1)))) != join(X_31,converse(sk1))
| join(complement(one),join(X_31,complement(converse(complement(sk1))))) = join(complement(one),join(X_31,converse(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_31,complement(converse(complement(sk1))))),join(complement(one),join(X_31,complement(converse(complement(sk1)))))) )],[refute_0_9614,refute_0_9615]) ).
cnf(refute_0_9617,plain,
join(complement(one),join(X_31,complement(converse(complement(sk1))))) = join(complement(one),join(X_31,converse(sk1))),
inference(resolve,[$cnf( $equal(join(X_31,complement(converse(complement(sk1)))),join(X_31,converse(sk1))) )],[refute_0_9613,refute_0_9616]) ).
cnf(refute_0_9618,plain,
( join(complement(one),join(X_31,complement(converse(complement(sk1))))) != join(X_31,complement(converse(meet(one,complement(sk1)))))
| join(complement(one),join(X_31,complement(converse(complement(sk1))))) != join(complement(one),join(X_31,converse(sk1)))
| join(complement(one),join(X_31,converse(sk1))) = join(X_31,complement(converse(meet(one,complement(sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_31,complement(converse(complement(sk1))))),join(X_31,complement(converse(meet(one,complement(sk1)))))) ),[0],$fot(join(complement(one),join(X_31,converse(sk1))))]]) ).
cnf(refute_0_9619,plain,
( join(complement(one),join(X_31,complement(converse(complement(sk1))))) != join(X_31,complement(converse(meet(one,complement(sk1)))))
| join(complement(one),join(X_31,converse(sk1))) = join(X_31,complement(converse(meet(one,complement(sk1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_31,complement(converse(complement(sk1))))),join(complement(one),join(X_31,converse(sk1)))) )],[refute_0_9617,refute_0_9618]) ).
cnf(refute_0_9620,plain,
join(complement(one),join(X_31,converse(sk1))) = join(X_31,complement(converse(meet(one,complement(sk1))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_31,complement(converse(complement(sk1))))),join(X_31,complement(converse(meet(one,complement(sk1)))))) )],[refute_0_9609,refute_0_9619]) ).
cnf(refute_0_9621,plain,
( join(complement(one),join(X_31,converse(sk1))) != join(X_31,complement(converse(meet(one,complement(sk1)))))
| join(X_31,complement(converse(meet(one,complement(sk1))))) = join(complement(one),join(X_31,converse(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(one),join(X_31,converse(sk1))))),bind(Y,$fot(join(X_31,complement(converse(meet(one,complement(sk1)))))))]]) ).
cnf(refute_0_9622,plain,
join(X_31,complement(converse(meet(one,complement(sk1))))) = join(complement(one),join(X_31,converse(sk1))),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_31,converse(sk1))),join(X_31,complement(converse(meet(one,complement(sk1)))))) )],[refute_0_9620,refute_0_9621]) ).
cnf(refute_0_9623,plain,
join(converse(sk1),complement(converse(meet(one,complement(sk1))))) = join(complement(one),join(converse(sk1),converse(sk1))),
inference(subst,[],[refute_0_9622:[bind(X_31,$fot(converse(sk1)))]]) ).
cnf(refute_0_9624,plain,
( join(complement(one),join(converse(sk1),converse(sk1))) != converse(join(sk1,complement(one)))
| join(converse(sk1),complement(converse(meet(one,complement(sk1))))) != join(complement(one),join(converse(sk1),converse(sk1)))
| join(converse(sk1),complement(converse(meet(one,complement(sk1))))) = converse(join(sk1,complement(one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(converse(sk1),complement(converse(meet(one,complement(sk1))))))),bind(Y,$fot(join(complement(one),join(converse(sk1),converse(sk1))))),bind(Z,$fot(converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_9625,plain,
( join(complement(one),join(converse(sk1),converse(sk1))) != converse(join(sk1,complement(one)))
| join(converse(sk1),complement(converse(meet(one,complement(sk1))))) = converse(join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(converse(meet(one,complement(sk1))))),join(complement(one),join(converse(sk1),converse(sk1)))) )],[refute_0_9623,refute_0_9624]) ).
cnf(refute_0_9626,plain,
join(converse(sk1),complement(converse(meet(one,complement(sk1))))) = converse(join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(sk1),converse(sk1))),converse(join(sk1,complement(one)))) )],[refute_0_9552,refute_0_9625]) ).
cnf(refute_0_9627,plain,
( join(converse(sk1),complement(converse(meet(one,complement(sk1))))) != complement(converse(meet(one,complement(sk1))))
| join(converse(sk1),complement(converse(meet(one,complement(sk1))))) != converse(join(sk1,complement(one)))
| converse(join(sk1,complement(one))) = complement(converse(meet(one,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),complement(converse(meet(one,complement(sk1))))),complement(converse(meet(one,complement(sk1))))) ),[0],$fot(converse(join(sk1,complement(one))))]]) ).
cnf(refute_0_9628,plain,
( join(converse(sk1),complement(converse(meet(one,complement(sk1))))) != complement(converse(meet(one,complement(sk1))))
| converse(join(sk1,complement(one))) = complement(converse(meet(one,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(converse(meet(one,complement(sk1))))),converse(join(sk1,complement(one)))) )],[refute_0_9626,refute_0_9627]) ).
cnf(refute_0_9629,plain,
converse(join(sk1,complement(one))) = complement(converse(meet(one,complement(sk1)))),
inference(resolve,[$cnf( $equal(join(converse(sk1),complement(converse(meet(one,complement(sk1))))),complement(converse(meet(one,complement(sk1))))) )],[refute_0_9544,refute_0_9628]) ).
cnf(refute_0_9630,plain,
meet(one,complement(converse(sk1))) = meet(one,complement(converse(sk1))),
introduced(tautology,[refl,[$fot(meet(one,complement(converse(sk1))))]]) ).
cnf(refute_0_9631,plain,
( complement(converse(sk1)) != complement(sk1)
| meet(one,complement(converse(sk1))) != meet(one,complement(converse(sk1)))
| meet(one,complement(converse(sk1))) = meet(one,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(sk1))),meet(one,complement(converse(sk1)))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_9632,plain,
( complement(converse(sk1)) != complement(sk1)
| meet(one,complement(converse(sk1))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(sk1))),meet(one,complement(converse(sk1)))) )],[refute_0_9630,refute_0_9631]) ).
cnf(refute_0_9633,plain,
meet(one,complement(converse(sk1))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),complement(sk1)) )],[refute_0_9297,refute_0_9632]) ).
cnf(refute_0_9634,plain,
( meet(one,complement(converse(sk1))) != converse(meet(one,complement(sk1)))
| meet(one,complement(converse(sk1))) != meet(one,complement(sk1))
| meet(one,complement(sk1)) = converse(meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(sk1))),converse(meet(one,complement(sk1)))) ),[0],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_9635,plain,
( meet(one,complement(converse(sk1))) != converse(meet(one,complement(sk1)))
| meet(one,complement(sk1)) = converse(meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(sk1))),meet(one,complement(sk1))) )],[refute_0_9633,refute_0_9634]) ).
cnf(refute_0_9636,plain,
meet(one,complement(sk1)) = converse(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(sk1))),converse(meet(one,complement(sk1)))) )],[refute_0_4995,refute_0_9635]) ).
cnf(refute_0_9637,plain,
( meet(one,complement(sk1)) != converse(meet(one,complement(sk1)))
| converse(meet(one,complement(sk1))) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(one,complement(sk1)))),bind(Y,$fot(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_9638,plain,
converse(meet(one,complement(sk1))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),converse(meet(one,complement(sk1)))) )],[refute_0_9636,refute_0_9637]) ).
cnf(refute_0_9639,plain,
complement(converse(meet(one,complement(sk1)))) = complement(converse(meet(one,complement(sk1)))),
introduced(tautology,[refl,[$fot(complement(converse(meet(one,complement(sk1)))))]]) ).
cnf(refute_0_9640,plain,
( complement(converse(meet(one,complement(sk1)))) != complement(converse(meet(one,complement(sk1))))
| converse(meet(one,complement(sk1))) != meet(one,complement(sk1))
| complement(converse(meet(one,complement(sk1)))) = complement(meet(one,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),complement(converse(meet(one,complement(sk1))))) ),[1,0],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_9641,plain,
( converse(meet(one,complement(sk1))) != meet(one,complement(sk1))
| complement(converse(meet(one,complement(sk1)))) = complement(meet(one,complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),complement(converse(meet(one,complement(sk1))))) )],[refute_0_9639,refute_0_9640]) ).
cnf(refute_0_9642,plain,
complement(converse(meet(one,complement(sk1)))) = complement(meet(one,complement(sk1))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(sk1))),meet(one,complement(sk1))) )],[refute_0_9638,refute_0_9641]) ).
cnf(refute_0_9643,plain,
( complement(converse(meet(one,complement(sk1)))) != complement(meet(one,complement(sk1)))
| complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| complement(converse(meet(one,complement(sk1)))) = join(sk1,complement(one)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(meet(one,complement(sk1)))))),bind(Y,$fot(complement(meet(one,complement(sk1))))),bind(Z,$fot(join(sk1,complement(one))))]]) ).
cnf(refute_0_9644,plain,
( complement(meet(one,complement(sk1))) != join(sk1,complement(one))
| complement(converse(meet(one,complement(sk1)))) = join(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),complement(meet(one,complement(sk1)))) )],[refute_0_9642,refute_0_9643]) ).
cnf(refute_0_9645,plain,
complement(converse(meet(one,complement(sk1)))) = join(sk1,complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(sk1))),join(sk1,complement(one))) )],[refute_0_2322,refute_0_9644]) ).
cnf(refute_0_9646,plain,
( complement(converse(meet(one,complement(sk1)))) != join(sk1,complement(one))
| converse(join(sk1,complement(one))) != complement(converse(meet(one,complement(sk1))))
| converse(join(sk1,complement(one))) = join(sk1,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,complement(one))),complement(converse(meet(one,complement(sk1))))) ),[1],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_9647,plain,
( converse(join(sk1,complement(one))) != complement(converse(meet(one,complement(sk1))))
| converse(join(sk1,complement(one))) = join(sk1,complement(one)) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(sk1)))),join(sk1,complement(one))) )],[refute_0_9645,refute_0_9646]) ).
cnf(refute_0_9648,plain,
converse(join(sk1,complement(one))) = join(sk1,complement(one)),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(one))),complement(converse(meet(one,complement(sk1))))) )],[refute_0_9629,refute_0_9647]) ).
cnf(refute_0_9649,plain,
meet(one,converse(join(sk1,complement(one)))) = meet(one,converse(join(sk1,complement(one)))),
introduced(tautology,[refl,[$fot(meet(one,converse(join(sk1,complement(one)))))]]) ).
cnf(refute_0_9650,plain,
( converse(join(sk1,complement(one))) != join(sk1,complement(one))
| meet(one,converse(join(sk1,complement(one)))) != meet(one,converse(join(sk1,complement(one))))
| meet(one,converse(join(sk1,complement(one)))) = meet(one,join(sk1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one))))) ),[1,1],$fot(join(sk1,complement(one)))]]) ).
cnf(refute_0_9651,plain,
( converse(join(sk1,complement(one))) != join(sk1,complement(one))
| meet(one,converse(join(sk1,complement(one)))) = meet(one,join(sk1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(join(sk1,complement(one)))),meet(one,converse(join(sk1,complement(one))))) )],[refute_0_9649,refute_0_9650]) ).
cnf(refute_0_9652,plain,
meet(one,converse(join(sk1,complement(one)))) = meet(one,join(sk1,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(sk1,complement(one))),join(sk1,complement(one))) )],[refute_0_9648,refute_0_9651]) ).
cnf(refute_0_9653,plain,
( meet(one,converse(join(sk1,complement(one)))) != meet(one,join(sk1,complement(one)))
| meet(one,join(sk1,complement(one))) != sk1
| meet(one,converse(join(sk1,complement(one)))) = sk1 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(one,converse(join(sk1,complement(one)))))),bind(Y,$fot(meet(one,join(sk1,complement(one))))),bind(Z,$fot(sk1))]]) ).
cnf(refute_0_9654,plain,
( meet(one,join(sk1,complement(one))) != sk1
| meet(one,converse(join(sk1,complement(one)))) = sk1 ),
inference(resolve,[$cnf( $equal(meet(one,converse(join(sk1,complement(one)))),meet(one,join(sk1,complement(one)))) )],[refute_0_9652,refute_0_9653]) ).
cnf(refute_0_9655,plain,
meet(one,converse(join(sk1,complement(one)))) = sk1,
inference(resolve,[$cnf( $equal(meet(one,join(sk1,complement(one))),sk1) )],[refute_0_2329,refute_0_9654]) ).
cnf(refute_0_9656,plain,
( meet(one,converse(join(sk1,complement(one)))) != converse(sk1)
| meet(one,converse(join(sk1,complement(one)))) != sk1
| sk1 = converse(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(join(sk1,complement(one)))),converse(sk1)) ),[0],$fot(sk1)]]) ).
cnf(refute_0_9657,plain,
( meet(one,converse(join(sk1,complement(one)))) != converse(sk1)
| sk1 = converse(sk1) ),
inference(resolve,[$cnf( $equal(meet(one,converse(join(sk1,complement(one)))),sk1) )],[refute_0_9655,refute_0_9656]) ).
cnf(refute_0_9658,plain,
sk1 = converse(sk1),
inference(resolve,[$cnf( $equal(meet(one,converse(join(sk1,complement(one)))),converse(sk1)) )],[refute_0_5998,refute_0_9657]) ).
cnf(refute_0_9659,plain,
( sk1 != converse(sk1)
| converse(sk1) = sk1 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(sk1)),bind(Y,$fot(converse(sk1)))]]) ).
cnf(refute_0_9660,plain,
converse(sk1) = sk1,
inference(resolve,[$cnf( $equal(sk1,converse(sk1)) )],[refute_0_9658,refute_0_9659]) ).
cnf(refute_0_9661,plain,
composition(converse(sk1),complement(sk1)) = composition(converse(sk1),complement(sk1)),
introduced(tautology,[refl,[$fot(composition(converse(sk1),complement(sk1)))]]) ).
cnf(refute_0_9662,plain,
( composition(converse(sk1),complement(sk1)) != composition(converse(sk1),complement(sk1))
| converse(sk1) != sk1
| composition(converse(sk1),complement(sk1)) = composition(sk1,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(sk1),complement(sk1)),composition(converse(sk1),complement(sk1))) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_9663,plain,
( converse(sk1) != sk1
| composition(converse(sk1),complement(sk1)) = composition(sk1,complement(sk1)) ),
inference(resolve,[$cnf( $equal(composition(converse(sk1),complement(sk1)),composition(converse(sk1),complement(sk1))) )],[refute_0_9661,refute_0_9662]) ).
cnf(refute_0_9664,plain,
composition(converse(sk1),complement(sk1)) = composition(sk1,complement(sk1)),
inference(resolve,[$cnf( $equal(converse(sk1),sk1) )],[refute_0_9660,refute_0_9663]) ).
cnf(refute_0_9665,plain,
join(one,composition(converse(sk1),complement(sk1))) = join(one,composition(converse(sk1),complement(sk1))),
introduced(tautology,[refl,[$fot(join(one,composition(converse(sk1),complement(sk1))))]]) ).
cnf(refute_0_9666,plain,
( composition(converse(sk1),complement(sk1)) != composition(sk1,complement(sk1))
| join(one,composition(converse(sk1),complement(sk1))) != join(one,composition(converse(sk1),complement(sk1)))
| join(one,composition(converse(sk1),complement(sk1))) = join(one,composition(sk1,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(converse(sk1),complement(sk1))),join(one,composition(converse(sk1),complement(sk1)))) ),[1,1],$fot(composition(sk1,complement(sk1)))]]) ).
cnf(refute_0_9667,plain,
( composition(converse(sk1),complement(sk1)) != composition(sk1,complement(sk1))
| join(one,composition(converse(sk1),complement(sk1))) = join(one,composition(sk1,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(one,composition(converse(sk1),complement(sk1))),join(one,composition(converse(sk1),complement(sk1)))) )],[refute_0_9665,refute_0_9666]) ).
cnf(refute_0_9668,plain,
join(one,composition(converse(sk1),complement(sk1))) = join(one,composition(sk1,complement(sk1))),
inference(resolve,[$cnf( $equal(composition(converse(sk1),complement(sk1)),composition(sk1,complement(sk1))) )],[refute_0_9664,refute_0_9667]) ).
cnf(refute_0_9669,plain,
( converse(join(one,composition(top,sk1))) != join(one,composition(converse(sk1),complement(sk1)))
| join(one,composition(converse(sk1),complement(sk1))) != join(one,composition(sk1,complement(sk1)))
| converse(join(one,composition(top,sk1))) = join(one,composition(sk1,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,composition(top,sk1))),join(one,composition(sk1,complement(sk1)))) ),[0],$fot(join(one,composition(converse(sk1),complement(sk1))))]]) ).
cnf(refute_0_9670,plain,
( converse(join(one,composition(top,sk1))) != join(one,composition(converse(sk1),complement(sk1)))
| converse(join(one,composition(top,sk1))) = join(one,composition(sk1,complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(one,composition(converse(sk1),complement(sk1))),join(one,composition(sk1,complement(sk1)))) )],[refute_0_9668,refute_0_9669]) ).
cnf(refute_0_9671,plain,
converse(join(one,composition(top,sk1))) = join(one,composition(sk1,complement(sk1))),
inference(resolve,[$cnf( $equal(converse(join(one,composition(top,sk1))),join(one,composition(converse(sk1),complement(sk1)))) )],[refute_0_9535,refute_0_9670]) ).
cnf(refute_0_9672,plain,
( converse(join(one,composition(top,sk1))) != join(one,composition(sk1,complement(sk1)))
| join(one,composition(sk1,complement(sk1))) = converse(join(one,composition(top,sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,composition(top,sk1))))),bind(Y,$fot(join(one,composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_9673,plain,
join(one,composition(sk1,complement(sk1))) = converse(join(one,composition(top,sk1))),
inference(resolve,[$cnf( $equal(converse(join(one,composition(top,sk1))),join(one,composition(sk1,complement(sk1)))) )],[refute_0_9671,refute_0_9672]) ).
cnf(refute_0_9674,plain,
complement(join(one,composition(sk1,complement(sk1)))) = complement(join(one,composition(sk1,complement(sk1)))),
introduced(tautology,[refl,[$fot(complement(join(one,composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_9675,plain,
( complement(join(one,composition(sk1,complement(sk1)))) != complement(join(one,composition(sk1,complement(sk1))))
| join(one,composition(sk1,complement(sk1))) != converse(join(one,composition(top,sk1)))
| complement(join(one,composition(sk1,complement(sk1)))) = complement(converse(join(one,composition(top,sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,composition(sk1,complement(sk1)))),complement(join(one,composition(sk1,complement(sk1))))) ),[1,0],$fot(converse(join(one,composition(top,sk1))))]]) ).
cnf(refute_0_9676,plain,
( join(one,composition(sk1,complement(sk1))) != converse(join(one,composition(top,sk1)))
| complement(join(one,composition(sk1,complement(sk1)))) = complement(converse(join(one,composition(top,sk1)))) ),
inference(resolve,[$cnf( $equal(complement(join(one,composition(sk1,complement(sk1)))),complement(join(one,composition(sk1,complement(sk1))))) )],[refute_0_9674,refute_0_9675]) ).
cnf(refute_0_9677,plain,
complement(join(one,composition(sk1,complement(sk1)))) = complement(converse(join(one,composition(top,sk1)))),
inference(resolve,[$cnf( $equal(join(one,composition(sk1,complement(sk1))),converse(join(one,composition(top,sk1)))) )],[refute_0_9673,refute_0_9676]) ).
cnf(refute_0_9678,plain,
join(one,complement(join(one,composition(sk1,complement(sk1))))) = join(one,complement(join(one,composition(sk1,complement(sk1))))),
introduced(tautology,[refl,[$fot(join(one,complement(join(one,composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_9679,plain,
( complement(join(one,composition(sk1,complement(sk1)))) != complement(converse(join(one,composition(top,sk1))))
| join(one,complement(join(one,composition(sk1,complement(sk1))))) != join(one,complement(join(one,composition(sk1,complement(sk1)))))
| join(one,complement(join(one,composition(sk1,complement(sk1))))) = join(one,complement(converse(join(one,composition(top,sk1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(one,composition(sk1,complement(sk1))))),join(one,complement(join(one,composition(sk1,complement(sk1)))))) ),[1,1],$fot(complement(converse(join(one,composition(top,sk1)))))]]) ).
cnf(refute_0_9680,plain,
( complement(join(one,composition(sk1,complement(sk1)))) != complement(converse(join(one,composition(top,sk1))))
| join(one,complement(join(one,composition(sk1,complement(sk1))))) = join(one,complement(converse(join(one,composition(top,sk1))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(sk1,complement(sk1))))),join(one,complement(join(one,composition(sk1,complement(sk1)))))) )],[refute_0_9678,refute_0_9679]) ).
cnf(refute_0_9681,plain,
join(one,complement(join(one,composition(sk1,complement(sk1))))) = join(one,complement(converse(join(one,composition(top,sk1))))),
inference(resolve,[$cnf( $equal(complement(join(one,composition(sk1,complement(sk1)))),complement(converse(join(one,composition(top,sk1))))) )],[refute_0_9677,refute_0_9680]) ).
cnf(refute_0_9682,plain,
( join(one,complement(converse(join(one,composition(top,sk1))))) != complement(converse(composition(complement(sk1),sk1)))
| join(one,complement(join(one,composition(sk1,complement(sk1))))) != join(one,complement(converse(join(one,composition(top,sk1)))))
| join(one,complement(join(one,composition(sk1,complement(sk1))))) = complement(converse(composition(complement(sk1),sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,complement(join(one,composition(sk1,complement(sk1))))))),bind(Y,$fot(join(one,complement(converse(join(one,composition(top,sk1))))))),bind(Z,$fot(complement(converse(composition(complement(sk1),sk1)))))]]) ).
cnf(refute_0_9683,plain,
( join(one,complement(converse(join(one,composition(top,sk1))))) != complement(converse(composition(complement(sk1),sk1)))
| join(one,complement(join(one,composition(sk1,complement(sk1))))) = complement(converse(composition(complement(sk1),sk1))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(sk1,complement(sk1))))),join(one,complement(converse(join(one,composition(top,sk1)))))) )],[refute_0_9681,refute_0_9682]) ).
cnf(refute_0_9684,plain,
join(one,complement(join(one,composition(sk1,complement(sk1))))) = complement(converse(composition(complement(sk1),sk1))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(one,composition(top,sk1))))),complement(converse(composition(complement(sk1),sk1)))) )],[refute_0_9321,refute_0_9683]) ).
cnf(refute_0_9685,plain,
( complement(composition(sk1,complement(sk1))) != join(one,complement(join(one,composition(sk1,complement(sk1)))))
| join(one,complement(join(one,composition(sk1,complement(sk1))))) != complement(converse(composition(complement(sk1),sk1)))
| complement(composition(sk1,complement(sk1))) = complement(converse(composition(complement(sk1),sk1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(sk1,complement(sk1))),complement(converse(composition(complement(sk1),sk1)))) ),[0],$fot(join(one,complement(join(one,composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_9686,plain,
( complement(composition(sk1,complement(sk1))) != join(one,complement(join(one,composition(sk1,complement(sk1)))))
| complement(composition(sk1,complement(sk1))) = complement(converse(composition(complement(sk1),sk1))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(sk1,complement(sk1))))),complement(converse(composition(complement(sk1),sk1)))) )],[refute_0_9684,refute_0_9685]) ).
cnf(refute_0_9687,plain,
complement(composition(sk1,complement(sk1))) = complement(converse(composition(complement(sk1),sk1))),
inference(resolve,[$cnf( $equal(complement(composition(sk1,complement(sk1))),join(one,complement(join(one,composition(sk1,complement(sk1)))))) )],[refute_0_8197,refute_0_9686]) ).
cnf(refute_0_9688,plain,
( complement(composition(sk1,complement(sk1))) != complement(converse(composition(complement(sk1),sk1)))
| complement(converse(composition(complement(sk1),sk1))) = complement(composition(sk1,complement(sk1))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(sk1,complement(sk1))))),bind(Y,$fot(complement(converse(composition(complement(sk1),sk1)))))]]) ).
cnf(refute_0_9689,plain,
complement(converse(composition(complement(sk1),sk1))) = complement(composition(sk1,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(composition(sk1,complement(sk1))),complement(converse(composition(complement(sk1),sk1)))) )],[refute_0_9687,refute_0_9688]) ).
cnf(refute_0_9690,plain,
converse(composition(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))),X_19)) = composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))),
inference(subst,[],[refute_0_58:[bind(A,$fot(composition(complement(composition(sk1,complement(sk1))),complement(sk1))))]]) ).
cnf(refute_0_9691,plain,
join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(composition(complement(sk1),converse(sk1))))) = complement(converse(sk1)),
inference(subst,[],[refute_0_47:[bind(A,$fot(complement(sk1))),bind(B,$fot(converse(sk1)))]]) ).
cnf(refute_0_9692,plain,
( complement(composition(complement(sk1),converse(sk1))) != complement(converse(composition(sk1,complement(sk1))))
| join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(composition(complement(sk1),converse(sk1))))) != complement(converse(sk1))
| join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = complement(converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(composition(complement(sk1),converse(sk1))))),complement(converse(sk1))) ),[0,1,1],$fot(complement(converse(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_9693,plain,
( join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(composition(complement(sk1),converse(sk1))))) != complement(converse(sk1))
| join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(sk1),converse(sk1))),complement(converse(composition(sk1,complement(sk1))))) )],[refute_0_5782,refute_0_9692]) ).
cnf(refute_0_9694,plain,
join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(composition(complement(sk1),converse(sk1))))),complement(converse(sk1))) )],[refute_0_9691,refute_0_9693]) ).
cnf(refute_0_9695,plain,
composition(join(complement(composition(sk1,complement(sk1))),one),complement(sk1)) = composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)),
inference(subst,[],[refute_0_8645:[bind(X_198,$fot(complement(composition(sk1,complement(sk1))))),bind(X_199,$fot(complement(sk1)))]]) ).
cnf(refute_0_9696,plain,
join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) = composition(join(complement(composition(sk1,complement(sk1))),one),complement(sk1)),
inference(subst,[],[refute_0_5660:[bind(X_209,$fot(complement(composition(sk1,complement(sk1))))),bind(X_211,$fot(complement(sk1)))]]) ).
cnf(refute_0_9697,plain,
( composition(join(complement(composition(sk1,complement(sk1))),one),complement(sk1)) != composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))
| join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) != composition(join(complement(composition(sk1,complement(sk1))),one),complement(sk1))
| join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) = composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))))),bind(Y,$fot(composition(join(complement(composition(sk1,complement(sk1))),one),complement(sk1)))),bind(Z,$fot(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))))]]) ).
cnf(refute_0_9698,plain,
( composition(join(complement(composition(sk1,complement(sk1))),one),complement(sk1)) != composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))
| join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) = composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))),composition(join(complement(composition(sk1,complement(sk1))),one),complement(sk1))) )],[refute_0_9696,refute_0_9697]) ).
cnf(refute_0_9699,plain,
join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) = composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(sk1,complement(sk1))),one),complement(sk1)),composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) )],[refute_0_9695,refute_0_9698]) ).
cnf(refute_0_9700,plain,
converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) = converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))),
introduced(tautology,[refl,[$fot(converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))))]]) ).
cnf(refute_0_9701,plain,
( converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) != converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))))
| join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) != composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))
| converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) = converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))),converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))))) ),[1,0],$fot(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))]]) ).
cnf(refute_0_9702,plain,
( join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) != composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))
| converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) = converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))),converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))))) )],[refute_0_9700,refute_0_9701]) ).
cnf(refute_0_9703,plain,
converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) = converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))),
inference(resolve,[$cnf( $equal(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))),composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) )],[refute_0_9699,refute_0_9702]) ).
cnf(refute_0_9704,plain,
converse(join(complement(X_545),B)) = join(converse(complement(X_545)),converse(B)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(complement(X_545)))]]) ).
cnf(refute_0_9705,plain,
( converse(complement(X_545)) != complement(converse(X_545))
| converse(join(complement(X_545),B)) != join(converse(complement(X_545)),converse(B))
| converse(join(complement(X_545),B)) = join(complement(converse(X_545)),converse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(X_545),B)),join(converse(complement(X_545)),converse(B))) ),[1,0],$fot(complement(converse(X_545)))]]) ).
cnf(refute_0_9706,plain,
( converse(join(complement(X_545),B)) != join(converse(complement(X_545)),converse(B))
| converse(join(complement(X_545),B)) = join(complement(converse(X_545)),converse(B)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_545)),complement(converse(X_545))) )],[refute_0_5686,refute_0_9705]) ).
cnf(refute_0_9707,plain,
converse(join(complement(X_545),B)) = join(complement(converse(X_545)),converse(B)),
inference(resolve,[$cnf( $equal(converse(join(complement(X_545),B)),join(converse(complement(X_545)),converse(B))) )],[refute_0_9704,refute_0_9706]) ).
cnf(refute_0_9708,plain,
( converse(join(complement(X_545),B)) != join(complement(converse(X_545)),converse(B))
| join(complement(converse(X_545)),converse(B)) = converse(join(complement(X_545),B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(complement(X_545),B)))),bind(Y,$fot(join(complement(converse(X_545)),converse(B))))]]) ).
cnf(refute_0_9709,plain,
join(complement(converse(X_545)),converse(B)) = converse(join(complement(X_545),B)),
inference(resolve,[$cnf( $equal(converse(join(complement(X_545),B)),join(complement(converse(X_545)),converse(B))) )],[refute_0_9707,refute_0_9708]) ).
cnf(refute_0_9710,plain,
join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) = converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))),
inference(subst,[],[refute_0_9709:[bind(B,$fot(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))),bind(X_545,$fot(sk1))]]) ).
cnf(refute_0_9711,plain,
( converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) != converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))
| join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) != converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))))
| join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) = converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))))),bind(Y,$fot(converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))))),bind(Z,$fot(converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))))]]) ).
cnf(refute_0_9712,plain,
( converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) != converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))
| join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) = converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))),converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))))) )],[refute_0_9710,refute_0_9711]) ).
cnf(refute_0_9713,plain,
join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) = converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))),
inference(resolve,[$cnf( $equal(converse(join(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))),converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))) )],[refute_0_9703,refute_0_9712]) ).
cnf(refute_0_9714,plain,
converse(composition(complement(X_545),B)) = composition(converse(B),converse(complement(X_545))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(complement(X_545)))]]) ).
cnf(refute_0_9715,plain,
( converse(complement(X_545)) != complement(converse(X_545))
| converse(composition(complement(X_545),B)) != composition(converse(B),converse(complement(X_545)))
| converse(composition(complement(X_545),B)) = composition(converse(B),complement(converse(X_545))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(X_545),B)),composition(converse(B),converse(complement(X_545)))) ),[1,1],$fot(complement(converse(X_545)))]]) ).
cnf(refute_0_9716,plain,
( converse(composition(complement(X_545),B)) != composition(converse(B),converse(complement(X_545)))
| converse(composition(complement(X_545),B)) = composition(converse(B),complement(converse(X_545))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_545)),complement(converse(X_545))) )],[refute_0_5686,refute_0_9715]) ).
cnf(refute_0_9717,plain,
converse(composition(complement(X_545),B)) = composition(converse(B),complement(converse(X_545))),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_545),B)),composition(converse(B),converse(complement(X_545)))) )],[refute_0_9714,refute_0_9716]) ).
cnf(refute_0_9718,plain,
( converse(composition(complement(X_545),B)) != composition(converse(B),complement(converse(X_545)))
| composition(converse(B),complement(converse(X_545))) = converse(composition(complement(X_545),B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(complement(X_545),B)))),bind(Y,$fot(composition(converse(B),complement(converse(X_545)))))]]) ).
cnf(refute_0_9719,plain,
composition(converse(B),complement(converse(X_545))) = converse(composition(complement(X_545),B)),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_545),B)),composition(converse(B),complement(converse(X_545)))) )],[refute_0_9717,refute_0_9718]) ).
cnf(refute_0_9720,plain,
composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1))))) = converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))),
inference(subst,[],[refute_0_9719:[bind(B,$fot(complement(sk1))),bind(X_545,$fot(composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_9721,plain,
join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))))]]) ).
cnf(refute_0_9722,plain,
( composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1))))) != converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))
| join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) != join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1))))))
| join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))),join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1))))))) ),[1,1],$fot(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))))]]) ).
cnf(refute_0_9723,plain,
( composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1))))) != converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))
| join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))),join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1))))))) )],[refute_0_9721,refute_0_9722]) ).
cnf(refute_0_9724,plain,
join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))),
inference(resolve,[$cnf( $equal(composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1))))),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) )],[refute_0_9720,refute_0_9723]) ).
cnf(refute_0_9725,plain,
( join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) != join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))))
| join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) != converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))
| join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))))),bind(Y,$fot(join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))))),bind(Z,$fot(converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))))]]) ).
cnf(refute_0_9726,plain,
( join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) != converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))
| join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))),join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))))) )],[refute_0_9724,refute_0_9725]) ).
cnf(refute_0_9727,plain,
join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) = converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))),converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))) )],[refute_0_9713,refute_0_9726]) ).
cnf(refute_0_9728,plain,
( join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) != complement(converse(sk1))
| join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) != converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))
| converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) = complement(converse(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))),complement(converse(sk1))) ),[0],$fot(converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))))]]) ).
cnf(refute_0_9729,plain,
( join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))) != complement(converse(sk1))
| converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) = complement(converse(sk1)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))),converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))) )],[refute_0_9727,refute_0_9728]) ).
cnf(refute_0_9730,plain,
converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) = complement(converse(sk1)),
inference(resolve,[$cnf( $equal(join(complement(converse(sk1)),composition(converse(complement(sk1)),complement(converse(composition(sk1,complement(sk1)))))),complement(converse(sk1))) )],[refute_0_9694,refute_0_9729]) ).
cnf(refute_0_9731,plain,
( complement(converse(sk1)) != complement(sk1)
| converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) != complement(converse(sk1))
| converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))),complement(converse(sk1))) ),[1],$fot(complement(sk1))]]) ).
cnf(refute_0_9732,plain,
( converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) != complement(converse(sk1))
| converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),complement(sk1)) )],[refute_0_9297,refute_0_9731]) ).
cnf(refute_0_9733,plain,
converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) = complement(sk1),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))),complement(converse(sk1))) )],[refute_0_9730,refute_0_9732]) ).
cnf(refute_0_9734,plain,
join(one,complement(X_283)) = complement(complement(join(one,complement(X_283)))),
inference(subst,[],[refute_0_621:[bind(X_97,$fot(join(one,complement(X_283))))]]) ).
cnf(refute_0_9735,plain,
meet(X_283,complement(one)) = complement(join(one,complement(X_283))),
inference(subst,[],[refute_0_3215:[bind(X_279,$fot(X_283))]]) ).
cnf(refute_0_9736,plain,
( meet(X_283,complement(one)) != complement(join(one,complement(X_283)))
| complement(join(one,complement(X_283))) = meet(X_283,complement(one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_283,complement(one)))),bind(Y,$fot(complement(join(one,complement(X_283)))))]]) ).
cnf(refute_0_9737,plain,
complement(join(one,complement(X_283))) = meet(X_283,complement(one)),
inference(resolve,[$cnf( $equal(meet(X_283,complement(one)),complement(join(one,complement(X_283)))) )],[refute_0_9735,refute_0_9736]) ).
cnf(refute_0_9738,plain,
( complement(join(one,complement(X_283))) != meet(X_283,complement(one))
| join(one,complement(X_283)) != complement(complement(join(one,complement(X_283))))
| join(one,complement(X_283)) = complement(meet(X_283,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(X_283)),complement(complement(join(one,complement(X_283))))) ),[1,0],$fot(meet(X_283,complement(one)))]]) ).
cnf(refute_0_9739,plain,
( join(one,complement(X_283)) != complement(complement(join(one,complement(X_283))))
| join(one,complement(X_283)) = complement(meet(X_283,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(X_283))),meet(X_283,complement(one))) )],[refute_0_9737,refute_0_9738]) ).
cnf(refute_0_9740,plain,
join(one,complement(X_283)) = complement(meet(X_283,complement(one))),
inference(resolve,[$cnf( $equal(join(one,complement(X_283)),complement(complement(join(one,complement(X_283))))) )],[refute_0_9734,refute_0_9739]) ).
cnf(refute_0_9741,plain,
join(one,complement(X_292)) = complement(meet(X_292,complement(one))),
inference(subst,[],[refute_0_9740:[bind(X_283,$fot(X_292))]]) ).
cnf(refute_0_9742,plain,
meet(complement(one),X_292) = meet(X_292,complement(one)),
inference(subst,[],[refute_0_33:[bind(X_6,$fot(complement(one))),bind(X_7,$fot(X_292))]]) ).
cnf(refute_0_9743,plain,
( meet(complement(one),X_292) != meet(X_292,complement(one))
| meet(X_292,complement(one)) = meet(complement(one),X_292) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(one),X_292))),bind(Y,$fot(meet(X_292,complement(one))))]]) ).
cnf(refute_0_9744,plain,
meet(X_292,complement(one)) = meet(complement(one),X_292),
inference(resolve,[$cnf( $equal(meet(complement(one),X_292),meet(X_292,complement(one))) )],[refute_0_9742,refute_0_9743]) ).
cnf(refute_0_9745,plain,
( join(one,complement(X_292)) != complement(meet(X_292,complement(one)))
| meet(X_292,complement(one)) != meet(complement(one),X_292)
| join(one,complement(X_292)) = complement(meet(complement(one),X_292)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(X_292)),complement(meet(X_292,complement(one)))) ),[1,0],$fot(meet(complement(one),X_292))]]) ).
cnf(refute_0_9746,plain,
( join(one,complement(X_292)) != complement(meet(X_292,complement(one)))
| join(one,complement(X_292)) = complement(meet(complement(one),X_292)) ),
inference(resolve,[$cnf( $equal(meet(X_292,complement(one)),meet(complement(one),X_292)) )],[refute_0_9744,refute_0_9745]) ).
cnf(refute_0_9747,plain,
join(one,complement(X_292)) = complement(meet(complement(one),X_292)),
inference(resolve,[$cnf( $equal(join(one,complement(X_292)),complement(meet(X_292,complement(one)))) )],[refute_0_9741,refute_0_9746]) ).
cnf(refute_0_9748,plain,
join(one,complement(composition(sk1,complement(sk1)))) = complement(meet(complement(one),composition(sk1,complement(sk1)))),
inference(subst,[],[refute_0_9747:[bind(X_292,$fot(composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_9749,plain,
composition(sk1,complement(converse(sk1))) = meet(complement(one),composition(sk1,complement(converse(sk1)))),
inference(subst,[],[refute_0_5896:[bind(X_132,$fot(sk1))]]) ).
cnf(refute_0_9750,plain,
( composition(sk1,complement(converse(sk1))) != composition(sk1,complement(sk1))
| composition(sk1,complement(converse(sk1))) != meet(complement(one),composition(sk1,complement(converse(sk1))))
| composition(sk1,complement(converse(sk1))) = meet(complement(one),composition(sk1,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(sk1,complement(converse(sk1))),meet(complement(one),composition(sk1,complement(converse(sk1))))) ),[1,1],$fot(composition(sk1,complement(sk1)))]]) ).
cnf(refute_0_9751,plain,
( composition(sk1,complement(converse(sk1))) != meet(complement(one),composition(sk1,complement(converse(sk1))))
| composition(sk1,complement(converse(sk1))) = meet(complement(one),composition(sk1,complement(sk1))) ),
inference(resolve,[$cnf( $equal(composition(sk1,complement(converse(sk1))),composition(sk1,complement(sk1))) )],[refute_0_5808,refute_0_9750]) ).
cnf(refute_0_9752,plain,
composition(sk1,complement(converse(sk1))) = meet(complement(one),composition(sk1,complement(sk1))),
inference(resolve,[$cnf( $equal(composition(sk1,complement(converse(sk1))),meet(complement(one),composition(sk1,complement(converse(sk1))))) )],[refute_0_9749,refute_0_9751]) ).
cnf(refute_0_9753,plain,
( composition(sk1,complement(converse(sk1))) != composition(sk1,complement(sk1))
| composition(sk1,complement(converse(sk1))) != meet(complement(one),composition(sk1,complement(sk1)))
| composition(sk1,complement(sk1)) = meet(complement(one),composition(sk1,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(sk1,complement(converse(sk1))),meet(complement(one),composition(sk1,complement(sk1)))) ),[0],$fot(composition(sk1,complement(sk1)))]]) ).
cnf(refute_0_9754,plain,
( composition(sk1,complement(converse(sk1))) != meet(complement(one),composition(sk1,complement(sk1)))
| composition(sk1,complement(sk1)) = meet(complement(one),composition(sk1,complement(sk1))) ),
inference(resolve,[$cnf( $equal(composition(sk1,complement(converse(sk1))),composition(sk1,complement(sk1))) )],[refute_0_5808,refute_0_9753]) ).
cnf(refute_0_9755,plain,
composition(sk1,complement(sk1)) = meet(complement(one),composition(sk1,complement(sk1))),
inference(resolve,[$cnf( $equal(composition(sk1,complement(converse(sk1))),meet(complement(one),composition(sk1,complement(sk1)))) )],[refute_0_9752,refute_0_9754]) ).
cnf(refute_0_9756,plain,
( composition(sk1,complement(sk1)) != meet(complement(one),composition(sk1,complement(sk1)))
| meet(complement(one),composition(sk1,complement(sk1))) = composition(sk1,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(sk1,complement(sk1)))),bind(Y,$fot(meet(complement(one),composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_9757,plain,
meet(complement(one),composition(sk1,complement(sk1))) = composition(sk1,complement(sk1)),
inference(resolve,[$cnf( $equal(composition(sk1,complement(sk1)),meet(complement(one),composition(sk1,complement(sk1)))) )],[refute_0_9755,refute_0_9756]) ).
cnf(refute_0_9758,plain,
( join(one,complement(composition(sk1,complement(sk1)))) != complement(meet(complement(one),composition(sk1,complement(sk1))))
| meet(complement(one),composition(sk1,complement(sk1))) != composition(sk1,complement(sk1))
| join(one,complement(composition(sk1,complement(sk1)))) = complement(composition(sk1,complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(sk1,complement(sk1)))),complement(meet(complement(one),composition(sk1,complement(sk1))))) ),[1,0],$fot(composition(sk1,complement(sk1)))]]) ).
cnf(refute_0_9759,plain,
( join(one,complement(composition(sk1,complement(sk1)))) != complement(meet(complement(one),composition(sk1,complement(sk1))))
| join(one,complement(composition(sk1,complement(sk1)))) = complement(composition(sk1,complement(sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(sk1,complement(sk1))),composition(sk1,complement(sk1))) )],[refute_0_9757,refute_0_9758]) ).
cnf(refute_0_9760,plain,
join(one,complement(composition(sk1,complement(sk1)))) = complement(composition(sk1,complement(sk1))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(sk1,complement(sk1)))),complement(meet(complement(one),composition(sk1,complement(sk1))))) )],[refute_0_9748,refute_0_9759]) ).
cnf(refute_0_9761,plain,
composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)) = composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)),
introduced(tautology,[refl,[$fot(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))]]) ).
cnf(refute_0_9762,plain,
( composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)) != composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))
| join(one,complement(composition(sk1,complement(sk1)))) != complement(composition(sk1,complement(sk1)))
| composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)) = composition(complement(composition(sk1,complement(sk1))),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)),composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) ),[1,0],$fot(complement(composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_9763,plain,
( join(one,complement(composition(sk1,complement(sk1)))) != complement(composition(sk1,complement(sk1)))
| composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)) = composition(complement(composition(sk1,complement(sk1))),complement(sk1)) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)),composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) )],[refute_0_9761,refute_0_9762]) ).
cnf(refute_0_9764,plain,
composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)) = composition(complement(composition(sk1,complement(sk1))),complement(sk1)),
inference(resolve,[$cnf( $equal(join(one,complement(composition(sk1,complement(sk1)))),complement(composition(sk1,complement(sk1)))) )],[refute_0_9760,refute_0_9763]) ).
cnf(refute_0_9765,plain,
converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) = converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))),
introduced(tautology,[refl,[$fot(converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))))]]) ).
cnf(refute_0_9766,plain,
( composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)) != composition(complement(composition(sk1,complement(sk1))),complement(sk1))
| converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) != converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))
| converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) = converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))),converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))) ),[1,0],$fot(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))]]) ).
cnf(refute_0_9767,plain,
( composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)) != composition(complement(composition(sk1,complement(sk1))),complement(sk1))
| converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) = converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))),converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)))) )],[refute_0_9765,refute_0_9766]) ).
cnf(refute_0_9768,plain,
converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) = converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1)),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) )],[refute_0_9764,refute_0_9767]) ).
cnf(refute_0_9769,plain,
( converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) != complement(sk1)
| converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) != converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))
| converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))) = complement(sk1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))),complement(sk1)) ),[0],$fot(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))))]]) ).
cnf(refute_0_9770,plain,
( converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))) != complement(sk1)
| converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))) = complement(sk1) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))),converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) )],[refute_0_9768,refute_0_9769]) ).
cnf(refute_0_9771,plain,
converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))) = complement(sk1),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(composition(sk1,complement(sk1)))),complement(sk1))),complement(sk1)) )],[refute_0_9733,refute_0_9770]) ).
cnf(refute_0_9772,plain,
( converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))) != complement(sk1)
| converse(composition(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))),X_19)) != composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))
| converse(composition(complement(sk1),X_19)) = composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))),X_19)),composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) ),[0,0,0],$fot(complement(sk1))]]) ).
cnf(refute_0_9773,plain,
( converse(composition(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))),X_19)) != composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))
| converse(composition(complement(sk1),X_19)) = composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))),complement(sk1)) )],[refute_0_9771,refute_0_9772]) ).
cnf(refute_0_9774,plain,
converse(composition(complement(sk1),X_19)) = composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))),X_19)),composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) )],[refute_0_9690,refute_0_9773]) ).
cnf(refute_0_9775,plain,
converse(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) = composition(complement(composition(sk1,complement(sk1))),complement(sk1)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(complement(composition(sk1,complement(sk1))),complement(sk1))))]]) ).
cnf(refute_0_9776,plain,
( converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))) != complement(sk1)
| converse(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) != composition(complement(composition(sk1,complement(sk1))),complement(sk1))
| converse(complement(sk1)) = composition(complement(composition(sk1,complement(sk1))),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) ),[0,0],$fot(complement(sk1))]]) ).
cnf(refute_0_9777,plain,
( converse(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) != composition(complement(composition(sk1,complement(sk1))),complement(sk1))
| converse(complement(sk1)) = composition(complement(composition(sk1,complement(sk1))),complement(sk1)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1))),complement(sk1)) )],[refute_0_9771,refute_0_9776]) ).
cnf(refute_0_9778,plain,
converse(complement(sk1)) = composition(complement(composition(sk1,complement(sk1))),complement(sk1)),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(composition(sk1,complement(sk1))),complement(sk1)))),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) )],[refute_0_9775,refute_0_9777]) ).
cnf(refute_0_9779,plain,
( complement(converse(sk1)) != complement(sk1)
| converse(complement(sk1)) != complement(converse(sk1))
| converse(complement(sk1)) = complement(sk1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(complement(sk1)))),bind(Y,$fot(complement(converse(sk1)))),bind(Z,$fot(complement(sk1)))]]) ).
cnf(refute_0_9780,plain,
( complement(converse(sk1)) != complement(sk1)
| converse(complement(sk1)) = complement(sk1) ),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(converse(sk1))) )],[refute_0_4366,refute_0_9779]) ).
cnf(refute_0_9781,plain,
converse(complement(sk1)) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),complement(sk1)) )],[refute_0_9297,refute_0_9780]) ).
cnf(refute_0_9782,plain,
( converse(complement(sk1)) != complement(sk1)
| converse(complement(sk1)) != composition(complement(composition(sk1,complement(sk1))),complement(sk1))
| complement(sk1) = composition(complement(composition(sk1,complement(sk1))),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(sk1)),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) ),[0],$fot(complement(sk1))]]) ).
cnf(refute_0_9783,plain,
( converse(complement(sk1)) != composition(complement(composition(sk1,complement(sk1))),complement(sk1))
| complement(sk1) = composition(complement(composition(sk1,complement(sk1))),complement(sk1)) ),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),complement(sk1)) )],[refute_0_9781,refute_0_9782]) ).
cnf(refute_0_9784,plain,
complement(sk1) = composition(complement(composition(sk1,complement(sk1))),complement(sk1)),
inference(resolve,[$cnf( $equal(converse(complement(sk1)),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) )],[refute_0_9778,refute_0_9783]) ).
cnf(refute_0_9785,plain,
( complement(sk1) != composition(complement(composition(sk1,complement(sk1))),complement(sk1))
| composition(complement(composition(sk1,complement(sk1))),complement(sk1)) = complement(sk1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(sk1))),bind(Y,$fot(composition(complement(composition(sk1,complement(sk1))),complement(sk1))))]]) ).
cnf(refute_0_9786,plain,
composition(complement(composition(sk1,complement(sk1))),complement(sk1)) = complement(sk1),
inference(resolve,[$cnf( $equal(complement(sk1),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) )],[refute_0_9784,refute_0_9785]) ).
cnf(refute_0_9787,plain,
composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) = composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))),
introduced(tautology,[refl,[$fot(composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))))]]) ).
cnf(refute_0_9788,plain,
( composition(complement(composition(sk1,complement(sk1))),complement(sk1)) != complement(sk1)
| composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) != composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))
| composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) = composition(converse(X_19),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))),composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) ),[1,1],$fot(complement(sk1))]]) ).
cnf(refute_0_9789,plain,
( composition(complement(composition(sk1,complement(sk1))),complement(sk1)) != complement(sk1)
| composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) = composition(converse(X_19),complement(sk1)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))),composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) )],[refute_0_9787,refute_0_9788]) ).
cnf(refute_0_9790,plain,
composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) = composition(converse(X_19),complement(sk1)),
inference(resolve,[$cnf( $equal(composition(complement(composition(sk1,complement(sk1))),complement(sk1)),complement(sk1)) )],[refute_0_9786,refute_0_9789]) ).
cnf(refute_0_9791,plain,
( composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))) != composition(converse(X_19),complement(sk1))
| converse(composition(complement(sk1),X_19)) != composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))
| converse(composition(complement(sk1),X_19)) = composition(converse(X_19),complement(sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(sk1),X_19)),composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) ),[1],$fot(composition(converse(X_19),complement(sk1)))]]) ).
cnf(refute_0_9792,plain,
( converse(composition(complement(sk1),X_19)) != composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))
| converse(composition(complement(sk1),X_19)) = composition(converse(X_19),complement(sk1)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1))),composition(converse(X_19),complement(sk1))) )],[refute_0_9790,refute_0_9791]) ).
cnf(refute_0_9793,plain,
converse(composition(complement(sk1),X_19)) = composition(converse(X_19),complement(sk1)),
inference(resolve,[$cnf( $equal(converse(composition(complement(sk1),X_19)),composition(converse(X_19),composition(complement(composition(sk1,complement(sk1))),complement(sk1)))) )],[refute_0_9774,refute_0_9792]) ).
cnf(refute_0_9794,plain,
( converse(composition(complement(sk1),X_19)) != composition(converse(X_19),complement(sk1))
| composition(converse(X_19),complement(sk1)) = converse(composition(complement(sk1),X_19)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(complement(sk1),X_19)))),bind(Y,$fot(composition(converse(X_19),complement(sk1))))]]) ).
cnf(refute_0_9795,plain,
composition(converse(X_19),complement(sk1)) = converse(composition(complement(sk1),X_19)),
inference(resolve,[$cnf( $equal(converse(composition(complement(sk1),X_19)),composition(converse(X_19),complement(sk1))) )],[refute_0_9793,refute_0_9794]) ).
cnf(refute_0_9796,plain,
composition(converse(sk1),complement(sk1)) = converse(composition(complement(sk1),sk1)),
inference(subst,[],[refute_0_9795:[bind(X_19,$fot(sk1))]]) ).
cnf(refute_0_9797,plain,
( composition(converse(sk1),complement(sk1)) != converse(composition(complement(sk1),sk1))
| converse(composition(complement(converse(sk1)),sk1)) != composition(converse(sk1),complement(sk1))
| converse(composition(complement(converse(sk1)),sk1)) = converse(composition(complement(sk1),sk1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(composition(complement(converse(sk1)),sk1)))),bind(Y,$fot(composition(converse(sk1),complement(sk1)))),bind(Z,$fot(converse(composition(complement(sk1),sk1))))]]) ).
cnf(refute_0_9798,plain,
( composition(converse(sk1),complement(sk1)) != converse(composition(complement(sk1),sk1))
| converse(composition(complement(converse(sk1)),sk1)) = converse(composition(complement(sk1),sk1)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(sk1)),sk1)),composition(converse(sk1),complement(sk1))) )],[refute_0_9342,refute_0_9797]) ).
cnf(refute_0_9799,plain,
converse(composition(complement(converse(sk1)),sk1)) = converse(composition(complement(sk1),sk1)),
inference(resolve,[$cnf( $equal(composition(converse(sk1),complement(sk1)),converse(composition(complement(sk1),sk1))) )],[refute_0_9796,refute_0_9798]) ).
cnf(refute_0_9800,plain,
complement(converse(composition(complement(converse(sk1)),sk1))) = complement(converse(composition(complement(converse(sk1)),sk1))),
introduced(tautology,[refl,[$fot(complement(converse(composition(complement(converse(sk1)),sk1))))]]) ).
cnf(refute_0_9801,plain,
( complement(converse(composition(complement(converse(sk1)),sk1))) != complement(converse(composition(complement(converse(sk1)),sk1)))
| converse(composition(complement(converse(sk1)),sk1)) != converse(composition(complement(sk1),sk1))
| complement(converse(composition(complement(converse(sk1)),sk1))) = complement(converse(composition(complement(sk1),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(complement(converse(sk1)),sk1))),complement(converse(composition(complement(converse(sk1)),sk1)))) ),[1,0],$fot(converse(composition(complement(sk1),sk1)))]]) ).
cnf(refute_0_9802,plain,
( converse(composition(complement(converse(sk1)),sk1)) != converse(composition(complement(sk1),sk1))
| complement(converse(composition(complement(converse(sk1)),sk1))) = complement(converse(composition(complement(sk1),sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(converse(sk1)),sk1))),complement(converse(composition(complement(converse(sk1)),sk1)))) )],[refute_0_9800,refute_0_9801]) ).
cnf(refute_0_9803,plain,
complement(converse(composition(complement(converse(sk1)),sk1))) = complement(converse(composition(complement(sk1),sk1))),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(sk1)),sk1)),converse(composition(complement(sk1),sk1))) )],[refute_0_9799,refute_0_9802]) ).
cnf(refute_0_9804,plain,
( complement(converse(composition(complement(converse(sk1)),sk1))) != complement(converse(composition(complement(sk1),sk1)))
| complement(converse(composition(complement(sk1),sk1))) != complement(composition(sk1,complement(sk1)))
| complement(converse(composition(complement(converse(sk1)),sk1))) = complement(composition(sk1,complement(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(composition(complement(converse(sk1)),sk1))))),bind(Y,$fot(complement(converse(composition(complement(sk1),sk1))))),bind(Z,$fot(complement(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_9805,plain,
( complement(converse(composition(complement(sk1),sk1))) != complement(composition(sk1,complement(sk1)))
| complement(converse(composition(complement(converse(sk1)),sk1))) = complement(composition(sk1,complement(sk1))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(converse(sk1)),sk1))),complement(converse(composition(complement(sk1),sk1)))) )],[refute_0_9803,refute_0_9804]) ).
cnf(refute_0_9806,plain,
complement(converse(composition(complement(converse(sk1)),sk1))) = complement(composition(sk1,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(sk1),sk1))),complement(composition(sk1,complement(sk1)))) )],[refute_0_9689,refute_0_9805]) ).
cnf(refute_0_9807,plain,
converse(complement(composition(complement(converse(sk1)),sk1))) = complement(converse(composition(complement(converse(sk1)),sk1))),
inference(subst,[],[refute_0_4748:[bind(X_544,$fot(composition(complement(converse(sk1)),sk1)))]]) ).
cnf(refute_0_9808,plain,
( complement(converse(composition(complement(converse(sk1)),sk1))) != complement(composition(sk1,complement(sk1)))
| converse(complement(composition(complement(converse(sk1)),sk1))) != complement(converse(composition(complement(converse(sk1)),sk1)))
| converse(complement(composition(complement(converse(sk1)),sk1))) = complement(composition(sk1,complement(sk1))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(complement(composition(complement(converse(sk1)),sk1))))),bind(Y,$fot(complement(converse(composition(complement(converse(sk1)),sk1))))),bind(Z,$fot(complement(composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_9809,plain,
( complement(converse(composition(complement(converse(sk1)),sk1))) != complement(composition(sk1,complement(sk1)))
| converse(complement(composition(complement(converse(sk1)),sk1))) = complement(composition(sk1,complement(sk1))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(converse(sk1)),sk1))),complement(converse(composition(complement(converse(sk1)),sk1)))) )],[refute_0_9807,refute_0_9808]) ).
cnf(refute_0_9810,plain,
converse(complement(composition(complement(converse(sk1)),sk1))) = complement(composition(sk1,complement(sk1))),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(converse(sk1)),sk1))),complement(composition(sk1,complement(sk1)))) )],[refute_0_9806,refute_0_9809]) ).
cnf(refute_0_9811,plain,
meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) = meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),
introduced(tautology,[refl,[$fot(meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_9812,plain,
( converse(complement(composition(complement(converse(sk1)),sk1))) != complement(composition(sk1,complement(sk1)))
| meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) != meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1))))
| meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) = meet(complement(sk1),complement(composition(sk1,complement(sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1))))) ),[1,1],$fot(complement(composition(sk1,complement(sk1))))]]) ).
cnf(refute_0_9813,plain,
( converse(complement(composition(complement(converse(sk1)),sk1))) != complement(composition(sk1,complement(sk1)))
| meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) = meet(complement(sk1),complement(composition(sk1,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_9811,refute_0_9812]) ).
cnf(refute_0_9814,plain,
meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) = meet(complement(sk1),complement(composition(sk1,complement(sk1)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(converse(sk1)),sk1))),complement(composition(sk1,complement(sk1)))) )],[refute_0_9810,refute_0_9813]) ).
cnf(refute_0_9815,plain,
meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))),
introduced(tautology,[refl,[$fot(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))]]) ).
cnf(refute_0_9816,plain,
( complement(converse(sk1)) != complement(sk1)
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) != meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) ),[1,0],$fot(complement(sk1))]]) ).
cnf(refute_0_9817,plain,
( complement(converse(sk1)) != complement(sk1)
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_9815,refute_0_9816]) ).
cnf(refute_0_9818,plain,
meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),
inference(resolve,[$cnf( $equal(complement(converse(sk1)),complement(sk1)) )],[refute_0_9297,refute_0_9817]) ).
cnf(refute_0_9819,plain,
( meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) != meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1))))
| meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) != meet(complement(sk1),complement(composition(sk1,complement(sk1))))
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = meet(complement(sk1),complement(composition(sk1,complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),bind(Y,$fot(meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))))),bind(Z,$fot(meet(complement(sk1),complement(composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_9820,plain,
( meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))) != meet(complement(sk1),complement(composition(sk1,complement(sk1))))
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = meet(complement(sk1),complement(composition(sk1,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1))))) )],[refute_0_9818,refute_0_9819]) ).
cnf(refute_0_9821,plain,
meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = meet(complement(sk1),complement(composition(sk1,complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(complement(sk1),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(sk1),complement(composition(sk1,complement(sk1))))) )],[refute_0_9814,refute_0_9820]) ).
cnf(refute_0_9822,plain,
( meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) != meet(complement(sk1),complement(composition(sk1,complement(sk1))))
| meet(complement(sk1),complement(composition(sk1,complement(sk1)))) != complement(join(sk1,composition(sk1,complement(sk1))))
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = complement(join(sk1,composition(sk1,complement(sk1)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))))),bind(Y,$fot(meet(complement(sk1),complement(composition(sk1,complement(sk1)))))),bind(Z,$fot(complement(join(sk1,composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_9823,plain,
( meet(complement(sk1),complement(composition(sk1,complement(sk1)))) != complement(join(sk1,composition(sk1,complement(sk1))))
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = complement(join(sk1,composition(sk1,complement(sk1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))),meet(complement(sk1),complement(composition(sk1,complement(sk1))))) )],[refute_0_9821,refute_0_9822]) ).
cnf(refute_0_9824,plain,
meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) = complement(join(sk1,composition(sk1,complement(sk1)))),
inference(resolve,[$cnf( $equal(meet(complement(sk1),complement(composition(sk1,complement(sk1)))),complement(join(sk1,composition(sk1,complement(sk1))))) )],[refute_0_8174,refute_0_9823]) ).
cnf(refute_0_9825,plain,
( meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) != complement(join(sk1,composition(sk1,complement(sk1))))
| meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(complement(composition(top,sk1)))
| complement(join(sk1,composition(sk1,complement(sk1)))) = converse(complement(composition(top,sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))),converse(complement(composition(top,sk1)))) ),[0],$fot(complement(join(sk1,composition(sk1,complement(sk1)))))]]) ).
cnf(refute_0_9826,plain,
( meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(complement(composition(top,sk1)))
| complement(join(sk1,composition(sk1,complement(sk1)))) = converse(complement(composition(top,sk1))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))),complement(join(sk1,composition(sk1,complement(sk1))))) )],[refute_0_9824,refute_0_9825]) ).
cnf(refute_0_9827,plain,
converse(composition(top,sk1)) = composition(converse(sk1),top),
inference(subst,[],[refute_0_2043:[bind(X_19,$fot(sk1))]]) ).
cnf(refute_0_9828,plain,
( converse(composition(top,sk1)) != composition(converse(sk1),top)
| converse(sk1) != sk1
| converse(composition(top,sk1)) = composition(sk1,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,sk1)),composition(converse(sk1),top)) ),[1,0],$fot(sk1)]]) ).
cnf(refute_0_9829,plain,
( converse(composition(top,sk1)) != composition(converse(sk1),top)
| converse(composition(top,sk1)) = composition(sk1,top) ),
inference(resolve,[$cnf( $equal(converse(sk1),sk1) )],[refute_0_9660,refute_0_9828]) ).
cnf(refute_0_9830,plain,
converse(composition(top,sk1)) = composition(sk1,top),
inference(resolve,[$cnf( $equal(converse(composition(top,sk1)),composition(converse(sk1),top)) )],[refute_0_9827,refute_0_9829]) ).
cnf(refute_0_9831,plain,
complement(converse(composition(top,sk1))) = complement(converse(composition(top,sk1))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,sk1))))]]) ).
cnf(refute_0_9832,plain,
( complement(converse(composition(top,sk1))) != complement(converse(composition(top,sk1)))
| converse(composition(top,sk1)) != composition(sk1,top)
| complement(converse(composition(top,sk1))) = complement(composition(sk1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,sk1))),complement(converse(composition(top,sk1)))) ),[1,0],$fot(composition(sk1,top))]]) ).
cnf(refute_0_9833,plain,
( converse(composition(top,sk1)) != composition(sk1,top)
| complement(converse(composition(top,sk1))) = complement(composition(sk1,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,sk1))),complement(converse(composition(top,sk1)))) )],[refute_0_9831,refute_0_9832]) ).
cnf(refute_0_9834,plain,
complement(converse(composition(top,sk1))) = complement(composition(sk1,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,sk1)),composition(sk1,top)) )],[refute_0_9830,refute_0_9833]) ).
cnf(refute_0_9835,plain,
converse(complement(composition(top,sk1))) = complement(converse(composition(top,sk1))),
inference(subst,[],[refute_0_4748:[bind(X_544,$fot(composition(top,sk1)))]]) ).
cnf(refute_0_9836,plain,
( complement(converse(composition(top,sk1))) != complement(composition(sk1,top))
| converse(complement(composition(top,sk1))) != complement(converse(composition(top,sk1)))
| converse(complement(composition(top,sk1))) = complement(composition(sk1,top)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(complement(composition(top,sk1))))),bind(Y,$fot(complement(converse(composition(top,sk1))))),bind(Z,$fot(complement(composition(sk1,top))))]]) ).
cnf(refute_0_9837,plain,
( complement(converse(composition(top,sk1))) != complement(composition(sk1,top))
| converse(complement(composition(top,sk1))) = complement(composition(sk1,top)) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,sk1))),complement(converse(composition(top,sk1)))) )],[refute_0_9835,refute_0_9836]) ).
cnf(refute_0_9838,plain,
converse(complement(composition(top,sk1))) = complement(composition(sk1,top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,sk1))),complement(composition(sk1,top))) )],[refute_0_9834,refute_0_9837]) ).
cnf(refute_0_9839,plain,
( complement(join(sk1,composition(sk1,complement(sk1)))) != converse(complement(composition(top,sk1)))
| converse(complement(composition(top,sk1))) != complement(composition(sk1,top))
| complement(join(sk1,composition(sk1,complement(sk1)))) = complement(composition(sk1,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(sk1,composition(sk1,complement(sk1)))),complement(composition(sk1,top))) ),[0],$fot(converse(complement(composition(top,sk1))))]]) ).
cnf(refute_0_9840,plain,
( complement(join(sk1,composition(sk1,complement(sk1)))) != converse(complement(composition(top,sk1)))
| complement(join(sk1,composition(sk1,complement(sk1)))) = complement(composition(sk1,top)) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,sk1))),complement(composition(sk1,top))) )],[refute_0_9838,refute_0_9839]) ).
cnf(refute_0_9841,plain,
( meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))) != converse(complement(composition(top,sk1)))
| complement(join(sk1,composition(sk1,complement(sk1)))) = complement(composition(sk1,top)) ),
inference(resolve,[$cnf( $equal(complement(join(sk1,composition(sk1,complement(sk1)))),converse(complement(composition(top,sk1)))) )],[refute_0_9826,refute_0_9840]) ).
cnf(refute_0_9842,plain,
complement(join(sk1,composition(sk1,complement(sk1)))) = complement(composition(sk1,top)),
inference(resolve,[$cnf( $equal(meet(complement(converse(sk1)),converse(complement(composition(complement(converse(sk1)),sk1)))),converse(complement(composition(top,sk1)))) )],[refute_0_8173,refute_0_9841]) ).
cnf(refute_0_9843,plain,
meet(one,complement(join(sk1,composition(sk1,complement(sk1))))) = meet(one,complement(join(sk1,composition(sk1,complement(sk1))))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(sk1,composition(sk1,complement(sk1))))))]]) ).
cnf(refute_0_9844,plain,
( complement(join(sk1,composition(sk1,complement(sk1)))) != complement(composition(sk1,top))
| meet(one,complement(join(sk1,composition(sk1,complement(sk1))))) != meet(one,complement(join(sk1,composition(sk1,complement(sk1)))))
| meet(one,complement(join(sk1,composition(sk1,complement(sk1))))) = meet(one,complement(composition(sk1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(sk1,composition(sk1,complement(sk1))))),meet(one,complement(join(sk1,composition(sk1,complement(sk1)))))) ),[1,1],$fot(complement(composition(sk1,top)))]]) ).
cnf(refute_0_9845,plain,
( complement(join(sk1,composition(sk1,complement(sk1)))) != complement(composition(sk1,top))
| meet(one,complement(join(sk1,composition(sk1,complement(sk1))))) = meet(one,complement(composition(sk1,top))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(sk1,composition(sk1,complement(sk1))))),meet(one,complement(join(sk1,composition(sk1,complement(sk1)))))) )],[refute_0_9843,refute_0_9844]) ).
cnf(refute_0_9846,plain,
meet(one,complement(join(sk1,composition(sk1,complement(sk1))))) = meet(one,complement(composition(sk1,top))),
inference(resolve,[$cnf( $equal(complement(join(sk1,composition(sk1,complement(sk1)))),complement(composition(sk1,top))) )],[refute_0_9842,refute_0_9845]) ).
cnf(refute_0_9847,plain,
( meet(one,complement(join(sk1,composition(sk1,complement(sk1))))) != meet(one,complement(composition(sk1,top)))
| meet(one,complement(sk1)) != meet(one,complement(join(sk1,composition(sk1,complement(sk1)))))
| meet(one,complement(sk1)) = meet(one,complement(composition(sk1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(sk1)),meet(one,complement(join(sk1,composition(sk1,complement(sk1)))))) ),[1],$fot(meet(one,complement(composition(sk1,top))))]]) ).
cnf(refute_0_9848,plain,
( meet(one,complement(sk1)) != meet(one,complement(join(sk1,composition(sk1,complement(sk1)))))
| meet(one,complement(sk1)) = meet(one,complement(composition(sk1,top))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(sk1,composition(sk1,complement(sk1))))),meet(one,complement(composition(sk1,top)))) )],[refute_0_9846,refute_0_9847]) ).
cnf(refute_0_9849,plain,
meet(one,complement(sk1)) = meet(one,complement(composition(sk1,top))),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),meet(one,complement(join(sk1,composition(sk1,complement(sk1)))))) )],[refute_0_5823,refute_0_9848]) ).
cnf(refute_0_9850,plain,
( meet(one,complement(sk1)) != meet(one,complement(composition(sk1,top)))
| meet(one,complement(composition(sk1,top))) = meet(one,complement(sk1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(one,complement(sk1)))),bind(Y,$fot(meet(one,complement(composition(sk1,top)))))]]) ).
cnf(refute_0_9851,plain,
meet(one,complement(composition(sk1,top))) = meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),meet(one,complement(composition(sk1,top)))) )],[refute_0_9849,refute_0_9850]) ).
cnf(refute_0_9852,plain,
( meet(one,complement(composition(sk1,top))) != meet(one,complement(sk1))
| meet(one,complement(sk1)) != meet(one,complement(sk1))
| meet(one,complement(composition(sk1,top))) = meet(one,complement(sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(one,complement(composition(sk1,top))),meet(one,complement(sk1))) ),[0],$fot(meet(one,complement(sk1)))]]) ).
cnf(refute_0_9853,plain,
( meet(one,complement(sk1)) != meet(one,complement(sk1))
| meet(one,complement(composition(sk1,top))) = meet(one,complement(sk1)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(sk1,top))),meet(one,complement(sk1))) )],[refute_0_9851,refute_0_9852]) ).
cnf(refute_0_9854,plain,
meet(one,complement(sk1)) != meet(one,complement(sk1)),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(sk1,top))),meet(one,complement(sk1))) )],[refute_0_9853,refute_0_137]) ).
cnf(refute_0_9855,plain,
$false,
inference(resolve,[$cnf( $equal(meet(one,complement(sk1)),meet(one,complement(sk1))) )],[refute_0_136,refute_0_9854]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL027-2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 07:24:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 68.43/68.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.43/68.62
% 68.43/68.62 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 70.31/70.51
%------------------------------------------------------------------------------