%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT092-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:43:45 AM UTC 2026
% Result : Unsatisfiable 6.23s 1.30s
% Output : CNFRefutation 27.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 2
% Syntax : Number of clauses : 228 ( 228 unt; 0 nHn; 3 RR)
% Number of literals : 228 ( 227 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 20 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 1325 ( 62 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(a,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wal_axioms_1) ).
cnf(c2,axiom,
join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(B,D),meet(E,B)),B)),meet(join(meet(B,meet(meet(join(B,D),join(E,B)),B)),meet(F,join(B,meet(meet(join(B,D),join(E,B)),B)))),join(A,join(join(meet(B,D),meet(E,B)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c3,plain,
join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(join(meet(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X6,X5),meet(X4,X6)),X6)))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
X6 = join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(join(meet(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X6,X5),meet(X4,X6)),X6)))),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
meet(X6,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X8)) = meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(join(meet(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X8)),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
join(meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = join(meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(X7,X5),meet(X4,X7)),X7)),meet(join(meet(X8,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X8,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(X7,X5),meet(X4,X7)),X7)))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,plain,
join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X4,X2),meet(X,X4)),X4)),meet(join(meet(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))),join(X3,join(join(meet(X4,X2),meet(X,X4)),X4))))),meet(join(meet(X3,join(join(meet(X4,X2),meet(X,X4)),X4)),meet(join(meet(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))),join(X3,join(join(meet(X4,X2),meet(X,X4)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X4,X2),meet(X,X4)),X4)),meet(join(meet(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))),join(X3,join(join(meet(X4,X2),meet(X,X4)),X4))))))) = X4,
inference(substitution,[status(thm)],[c2]) ).
cnf(c8,plain,
X5 = join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,plain,
meet(X5,join(X6,X5)) = meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,X5)),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
join(meet(X6,X5),meet(X5,join(X6,X5))) = join(meet(X6,X5),meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,X5))),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,plain,
meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X5) = meet(join(meet(X7,X6),meet(join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))))),join(X7,X6))),X5),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
join(meet(join(meet(X9,X8),meet(X8,join(X9,X8))),X7),meet(join(meet(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,X8))),X7),meet(join(meet(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,plain,
join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))) = X5,
inference(substitution,[status(thm)],[c2]) ).
cnf(c14,plain,
X5 = join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),
inference(symmetry,[status(thm)],[c13]) ).
cnf(c15,plain,
join(X6,X5) = join(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))),
inference(congruence,[status(thm)],[c14]) ).
cnf(c16,plain,
meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,X5)) = meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))))),
inference(congruence,[status(thm)],[c15]) ).
cnf(c17,plain,
join(meet(X6,X5),meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,X5))) = join(meet(X6,X5),meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))))),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,plain,
meet(join(meet(X7,X6),meet(join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))))),join(X7,X6))),X5) = meet(join(meet(X7,X6),meet(join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))))),join(X7,join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))))))))),X5),
inference(congruence,[status(thm)],[c17]) ).
cnf(c19,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,X8))),X7),meet(join(meet(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,plain,
join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))) = X5,
inference(substitution,[status(thm)],[c2]) ).
cnf(c21,plain,
X5 = join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),
inference(symmetry,[status(thm)],[c20]) ).
cnf(c22,plain,
meet(X6,X5) = meet(join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))))),X5),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
join(meet(X7,X6),meet(X5,X7)) = join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
join(join(meet(X7,X6),meet(X5,X7)),X7) = join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)) = meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7)),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))) = join(meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7)),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
meet(join(meet(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7)) = meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7)),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))) = X5,
inference(substitution,[status(thm)],[c2]) ).
cnf(c30,plain,
X5 = join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),
inference(symmetry,[status(thm)],[c29]) ).
cnf(c31,plain,
meet(X5,X6) = meet(X5,join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))))))),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)) = join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7) = join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7)) = meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7)),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
join(meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7)),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))) = join(meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7)),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),
inference(congruence,[status(thm)],[c34]) ).
cnf(c36,plain,
meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7)) = meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7)),
inference(congruence,[status(thm)],[c35]) ).
cnf(c37,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))) = X5,
inference(substitution,[status(thm)],[c2]) ).
cnf(c39,plain,
X5 = join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,plain,
join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7) = join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))))))),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7)) = meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,plain,
join(meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7)),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))) = join(meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7)) = meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7)),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))),
inference(congruence,[status(thm)],[c43]) ).
cnf(c45,plain,
join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))) = X5,
inference(substitution,[status(thm)],[c2]) ).
cnf(c46,plain,
X5 = join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,plain,
meet(X6,X5) = meet(join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))))),X5),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
join(meet(X7,X6),meet(X5,X7)) = join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
join(join(meet(X7,X6),meet(X5,X7)),X7) = join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7),
inference(congruence,[status(thm)],[c48]) ).
cnf(c50,plain,
join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)) = join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7)),
inference(congruence,[status(thm)],[c49]) ).
cnf(c51,plain,
meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))) = meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7))),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
join(meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))) = join(meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7)))),
inference(congruence,[status(thm)],[c51]) ).
cnf(c53,plain,
meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7)) = meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7)),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,plain,
join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))) = X5,
inference(substitution,[status(thm)],[c2]) ).
cnf(c56,plain,
X5 = join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),
inference(symmetry,[status(thm)],[c55]) ).
cnf(c57,plain,
meet(X5,X6) = meet(X5,join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))))))),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)) = join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7) = join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7),
inference(congruence,[status(thm)],[c58]) ).
cnf(c60,plain,
join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7)) = join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7)),
inference(congruence,[status(thm)],[c59]) ).
cnf(c61,plain,
meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7))) = meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7))),
inference(congruence,[status(thm)],[c60]) ).
cnf(c62,plain,
join(meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,X7)),X7)))) = join(meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7)))),
inference(congruence,[status(thm)],[c61]) ).
cnf(c63,plain,
meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7)) = meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7)),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))),
inference(congruence,[status(thm)],[c63]) ).
cnf(c65,plain,
join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))) = X5,
inference(substitution,[status(thm)],[c2]) ).
cnf(c66,plain,
X5 = join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),
inference(symmetry,[status(thm)],[c65]) ).
cnf(c67,plain,
join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7) = join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))))))),
inference(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7)) = join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),
inference(congruence,[status(thm)],[c67]) ).
cnf(c69,plain,
meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7))) = meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))))))))),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
join(meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),X7)))) = join(meet(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(X8,join(join(meet(join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))),X6),meet(X5,join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))),join(meet(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))),meet(join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X4,X7),meet(X7,join(X4,X7))),join(meet(X4,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X4,join(join(meet(X7,X3),meet(X2,X7)),X7))))))))))),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7)) = meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7)),
inference(congruence,[status(thm)],[c70]) ).
cnf(c72,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(joi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= join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))),
inference(congruence,[status(thm)],[c71]) ).
cnf(c73,plain,
join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))) = X5,
inference(substitution,[status(thm)],[c2]) ).
cnf(c74,plain,
X5 = join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),
inference(symmetry,[status(thm)],[c73]) ).
cnf(c75,plain,
meet(X6,X5) = meet(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))),
inference(congruence,[status(thm)],[c74]) ).
cnf(c76,plain,
join(meet(X6,X5),meet(X5,join(X6,X5))) = join(meet(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))),meet(X5,join(X6,X5))),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5) = join(join(meet(X7,join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))))))),meet(X6,join(X7,X6))),X5),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7)) = meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))),meet(X8,join(X9,X8))),X7)),
inference(congruence,[status(thm)],[c77]) ).
cnf(c79,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(joi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= join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(joi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inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))) = X5,
inference(substitution,[status(thm)],[c2]) ).
cnf(c81,plain,
X5 = join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),
inference(symmetry,[status(thm)],[c80]) ).
cnf(c82,plain,
meet(X5,join(X6,X5)) = meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,X5)),
inference(congruence,[status(thm)],[c81]) ).
cnf(c83,plain,
join(meet(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))),meet(X5,join(X6,X5))) = join(meet(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))),meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,X5))),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,plain,
join(join(meet(X7,join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))))))),meet(X6,join(X7,X6))),X5) = join(join(meet(X7,join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))))))),meet(join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))))),join(X7,X6))),X5),
inference(congruence,[status(thm)],[c83]) ).
cnf(c85,plain,
meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))),meet(X8,join(X9,X8))),X7)) = meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,X8))),X7)),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
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n(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))),meet(X8,join(X9,X8))),X7))) = join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,X8))),X7))),
inference(congruence,[status(thm)],[c85]) ).
cnf(c87,plain,
join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))) = X5,
inference(substitution,[status(thm)],[c2]) ).
cnf(c88,plain,
X5 = join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),
inference(symmetry,[status(thm)],[c87]) ).
cnf(c89,plain,
join(X6,X5) = join(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))),
inference(congruence,[status(thm)],[c88]) ).
cnf(c90,plain,
meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,X5)) = meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))))),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
join(meet(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))),meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,X5))) = join(meet(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))),meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))))),
inference(congruence,[status(thm)],[c90]) ).
cnf(c92,plain,
join(join(meet(X7,join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))))))),meet(join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))))),join(X7,X6))),X5) = join(join(meet(X7,join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))))))),meet(join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))))),join(X7,join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))))))))),X5),
inference(congruence,[status(thm)],[c91]) ).
cnf(c93,plain,
meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(joi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= meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(joi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inference(congruence,[status(thm)],[c92]) ).
cnf(c94,plain,
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= join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7))),
inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))) = X5,
inference(substitution,[status(thm)],[c2]) ).
cnf(c96,plain,
X5 = join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),
inference(symmetry,[status(thm)],[c95]) ).
cnf(c97,plain,
meet(X6,X5) = meet(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))),
inference(congruence,[status(thm)],[c96]) ).
cnf(c98,plain,
join(meet(X6,X5),meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))))) = join(meet(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))),meet(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))),join(X6,join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))))))))),
inference(congruence,[status(thm)],[c97]) ).
cnf(c99,plain,
meet(join(meet(X7,X6),meet(join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))))),join(X7,join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))))))))),X5) = meet(join(meet(X7,join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))))))),meet(join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))))),join(X7,join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6))))),meet(join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,join(X4,X6))),join(meet(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X4,join(join(meet(X6,X3),meet(X2,X6)),X6)))))))))),X5),
inference(congruence,[status(thm)],[c98]) ).
cnf(c100,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(joi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= 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meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7))),
inference(congruence,[status(thm)],[c99]) ).
cnf(c101,plain,
join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c102,plain,
X6 = join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),
inference(symmetry,[status(thm)],[c101]) ).
cnf(c103,plain,
meet(X6,join(X8,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),meet(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))) = meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),meet(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))),
inference(congruence,[status(thm)],[c102]) ).
cnf(c104,plain,
join(meet(X8,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),meet(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X8,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),meet(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))) = join(meet(X8,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),meet(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),meet(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
meet(join(meet(X9,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),meet(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X9,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),meet(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))))),X6)) = meet(join(meet(X9,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),meet(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),meet(meet(join(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),join(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X8,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X8,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),meet(meet(join(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),join(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),meet(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))))),X6)),
inference(congruence,[status(thm)],[c104]) ).
cnf(c106,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))))),X6),meet(join(meet(X9,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),meet(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X9,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),meet(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))))),X6))) = join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))))),X6),meet(join(meet(X9,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),meet(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),meet(meet(join(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),join(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X8,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X8,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),meet(meet(join(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),join(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),meet(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))))),X6))),
inference(congruence,[status(thm)],[c105]) ).
cnf(c107,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))))),X6),meet(join(meet(X9,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),meet(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),meet(meet(join(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),join(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X8,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X8,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),meet(meet(join(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),join(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X5),meet(X4,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))))),X6))) = join(meet(X8,X7),meet(X7,join(X8,X7))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c108,plain,
join(meet(join(meet(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X3),meet(join(meet(X6,join(join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X2),meet(X,join(meet(X5,X4),meet(X4,join(X5,X4))))),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X6,join(join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X2),meet(X,join(meet(X5,X4),meet(X4,join(X5,X4))))),join(meet(X5,X4),meet(X4,join(X5,X4))))))),join(join(meet(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X3))) = join(meet(X5,X4),meet(X4,join(X5,X4))),
inference(transitivity,[status(thm)],[c106,c107]) ).
cnf(c109,plain,
join(meet(join(meet(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7))) = join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),
inference(substitution,[status(thm)],[c108]) ).
cnf(c110,plain,
join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))),meet(join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X5,X3),join(X2,X5)),X5)))),join(X4,join(join(meet(X5,X3),meet(X2,X5)),X5))))))) = X5,
inference(substitution,[status(thm)],[c2]) ).
cnf(c111,plain,
join(meet(join(meet(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))))),join(join(meet(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7))) = X8,
inference(transitivity,[status(thm)],[c109,c110]) ).
cnf(c112,plain,
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= X8,
inference(transitivity,[status(thm)],[c100,c111]) ).
cnf(c113,plain,
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= X8,
inference(transitivity,[status(thm)],[c94,c112]) ).
cnf(c114,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(joi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= X8,
inference(transitivity,[status(thm)],[c86,c113]) ).
cnf(c115,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(joi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= X8,
inference(transitivity,[status(thm)],[c79,c114]) ).
cnf(c116,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(joi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= X8,
inference(transitivity,[status(thm)],[c72,c115]) ).
cnf(c117,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = X8,
inference(transitivity,[status(thm)],[c64,c116]) ).
cnf(c118,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = X8,
inference(transitivity,[status(thm)],[c54,c117]) ).
cnf(c119,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))))),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = X8,
inference(transitivity,[status(thm)],[c44,c118]) ).
cnf(c120,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = X8,
inference(transitivity,[status(thm)],[c37,c119]) ).
cnf(c121,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))))))))),X7),meet(join(meet(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = X8,
inference(transitivity,[status(thm)],[c28,c120]) ).
cnf(c122,plain,
join(meet(join(meet(X9,X8),meet(join(meet(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(join(meet(X4,X8),meet(X8,join(X4,X8))),join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8))))))),join(X9,X8))),X7),meet(join(meet(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = X8,
inference(transitivity,[status(thm)],[c19,c121]) ).
cnf(c123,plain,
join(meet(join(meet(X9,X8),meet(X8,join(X9,X8))),X7),meet(join(meet(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)),meet(join(meet(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)),meet(join(meet(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X8,X3),join(X2,X8)),X8)))),join(X4,join(join(meet(X8,X3),meet(X2,X8)),X8)))),join(X9,join(join(meet(X8,X6),meet(X5,X8)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),X7))) = X8,
inference(transitivity,[status(thm)],[c12,c122]) ).
cnf(c124,plain,
join(meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(X7,X5),meet(X4,X7)),X7)),meet(join(meet(X8,join(join(meet(X7,X3),meet(X2,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X7,X3),join(X2,X7)),X7)))),join(X8,join(join(meet(X7,X3),meet(X2,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(X7,X5),meet(X4,X7)),X7)))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = X7,
inference(substitution,[status(thm)],[c123]) ).
cnf(c125,plain,
join(meet(join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X2),meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X2))),X),meet(X2,join(join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X2),meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X2))),X))) = X2,
inference(transitivity,[status(thm)],[c6,c124]) ).
cnf(c126,plain,
join(meet(join(meet(join(meet(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(join(meet(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(join(meet(join(meet(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(join(meet(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(join(meet(X5,X4),meet(X3,X5)),X5)))) = join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),
inference(substitution,[status(thm)],[c125]) ).
cnf(c127,plain,
join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))) = join(meet(join(meet(join(meet(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(join(meet(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(join(meet(join(meet(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(join(meet(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(join(meet(X5,X4),meet(X3,X5)),X5)))),
inference(symmetry,[status(thm)],[c126]) ).
cnf(c128,plain,
join(meet(join(meet(join(meet(X,X2),meet(X2,join(X,X2))),X2),meet(X2,join(join(meet(X,X2),meet(X2,join(X,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X,X2),meet(X2,join(X,X2))),X2),meet(X2,join(join(meet(X,X2),meet(X2,join(X,X2))),X2))),X2))) = X2,
inference(substitution,[status(thm)],[c125]) ).
cnf(c129,plain,
X2 = join(meet(join(meet(join(meet(X,X2),meet(X2,join(X,X2))),X2),meet(X2,join(join(meet(X,X2),meet(X2,join(X,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X,X2),meet(X2,join(X,X2))),X2),meet(X2,join(join(meet(X,X2),meet(X2,join(X,X2))),X2))),X2))),
inference(symmetry,[status(thm)],[c128]) ).
cnf(c130,plain,
join(X3,X2) = join(join(meet(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3),meet(X3,join(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3))),X2),
inference(congruence,[status(thm)],[c129]) ).
cnf(c131,plain,
meet(X3,join(X3,X2)) = meet(X3,join(join(meet(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3),meet(X3,join(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3))),X2)),
inference(congruence,[status(thm)],[c130]) ).
cnf(c132,plain,
join(meet(X3,X2),meet(X3,join(X3,X2))) = join(meet(X3,X2),meet(X3,join(join(meet(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3),meet(X3,join(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3))),X2))),
inference(congruence,[status(thm)],[c131]) ).
cnf(c133,plain,
join(meet(join(meet(join(meet(X,X2),meet(X2,join(X,X2))),X2),meet(X2,join(join(meet(X,X2),meet(X2,join(X,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X,X2),meet(X2,join(X,X2))),X2),meet(X2,join(join(meet(X,X2),meet(X2,join(X,X2))),X2))),X2))) = X2,
inference(substitution,[status(thm)],[c125]) ).
cnf(c134,plain,
X2 = join(meet(join(meet(join(meet(X,X2),meet(X2,join(X,X2))),X2),meet(X2,join(join(meet(X,X2),meet(X2,join(X,X2))),X2))),X2),meet(X2,join(join(meet(join(meet(X,X2),meet(X2,join(X,X2))),X2),meet(X2,join(join(meet(X,X2),meet(X2,join(X,X2))),X2))),X2))),
inference(symmetry,[status(thm)],[c133]) ).
cnf(c135,plain,
meet(X3,X2) = meet(join(meet(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3),meet(X3,join(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3))),X2),
inference(congruence,[status(thm)],[c134]) ).
cnf(c136,plain,
join(meet(X3,X2),meet(X3,join(join(meet(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3),meet(X3,join(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3))),X2))) = join(meet(join(meet(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3),meet(X3,join(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3))),X2),meet(X3,join(join(meet(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3),meet(X3,join(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3))),X2))),
inference(congruence,[status(thm)],[c135]) ).
cnf(c137,plain,
join(meet(join(meet(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3),meet(X3,join(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3))),X2),meet(X3,join(join(meet(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3),meet(X3,join(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3))),X2))) = X3,
inference(substitution,[status(thm)],[c125]) ).
cnf(c138,plain,
join(meet(X3,X2),meet(X3,join(join(meet(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3),meet(X3,join(join(meet(join(meet(X,X3),meet(X3,join(X,X3))),X3),meet(X3,join(join(meet(X,X3),meet(X3,join(X,X3))),X3))),X3))),X2))) = X3,
inference(transitivity,[status(thm)],[c136,c137]) ).
cnf(c139,plain,
join(meet(X2,X),meet(X2,join(X2,X))) = X2,
inference(transitivity,[status(thm)],[c132,c138]) ).
cnf(c140,plain,
join(meet(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),meet(X3,join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)))) = X3,
inference(substitution,[status(thm)],[c139]) ).
cnf(c141,plain,
X3 = join(meet(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),meet(X3,join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)))),
inference(symmetry,[status(thm)],[c140]) ).
cnf(c142,plain,
meet(X3,join(X4,join(join(meet(X3,X2),meet(X,X3)),X3))) = meet(join(meet(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),meet(X3,join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)))),join(X4,join(join(meet(X3,X2),meet(X,X3)),X3))),
inference(congruence,[status(thm)],[c141]) ).
cnf(c143,plain,
join(meet(X4,join(join(meet(X3,X2),meet(X,X3)),X3)),meet(X3,join(X4,join(join(meet(X3,X2),meet(X,X3)),X3)))) = join(meet(X4,join(join(meet(X3,X2),meet(X,X3)),X3)),meet(join(meet(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),meet(X3,join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)))),join(X4,join(join(meet(X3,X2),meet(X,X3)),X3)))),
inference(congruence,[status(thm)],[c142]) ).
cnf(c144,plain,
meet(join(meet(X5,join(join(meet(X4,X2),meet(X,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X2),meet(X,X4)),X4)))),join(join(meet(X5,X4),meet(X4,join(X5,X4))),X3)) = meet(join(meet(X5,join(join(meet(X4,X2),meet(X,X4)),X4)),meet(join(meet(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),meet(X4,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))),join(X5,join(join(meet(X4,X2),meet(X,X4)),X4)))),join(join(meet(X5,X4),meet(X4,join(X5,X4))),X3)),
inference(congruence,[status(thm)],[c143]) ).
cnf(c145,plain,
join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X3),meet(join(meet(X5,join(join(meet(X4,X2),meet(X,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X2),meet(X,X4)),X4)))),join(join(meet(X5,X4),meet(X4,join(X5,X4))),X3))) = join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X3),meet(join(meet(X5,join(join(meet(X4,X2),meet(X,X4)),X4)),meet(join(meet(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),meet(X4,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))),join(X5,join(join(meet(X4,X2),meet(X,X4)),X4)))),join(join(meet(X5,X4),meet(X4,join(X5,X4))),X3))),
inference(congruence,[status(thm)],[c144]) ).
cnf(c146,plain,
join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X3),meet(join(meet(X5,join(join(meet(X4,X2),meet(X,X4)),X4)),meet(join(meet(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),meet(X4,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))),join(X5,join(join(meet(X4,X2),meet(X,X4)),X4)))),join(join(meet(X5,X4),meet(X4,join(X5,X4))),X3))) = X4,
inference(substitution,[status(thm)],[c2]) ).
cnf(c147,plain,
join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X3),meet(join(meet(X5,join(join(meet(X4,X2),meet(X,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X2),meet(X,X4)),X4)))),join(join(meet(X5,X4),meet(X4,join(X5,X4))),X3))) = X4,
inference(transitivity,[status(thm)],[c145,c146]) ).
cnf(c148,plain,
join(meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3),meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3))) = join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),
inference(substitution,[status(thm)],[c147]) ).
cnf(c149,plain,
join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))) = join(meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3),meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3))),
inference(symmetry,[status(thm)],[c148]) ).
cnf(c150,plain,
join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(join(meet(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)),meet(X,join(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)))),join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))),meet(join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(join(meet(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)),meet(X,join(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)))),join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))),join(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(join(meet(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)),meet(X,join(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)))),join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))))) = X4,
inference(substitution,[status(thm)],[c2]) ).
cnf(c151,plain,
meet(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5))))),meet(join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5))))))),X) = meet(X5,X),
inference(congruence,[status(thm)],[c150]) ).
cnf(c152,plain,
join(meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3),meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3))) = join(meet(X7,X3),meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3))),
inference(congruence,[status(thm)],[c151]) ).
cnf(c153,plain,
join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)),meet(X3,join(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)))),join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)),meet(X3,join(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)))),join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)),meet(X3,join(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)))),join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)),meet(X3,join(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)))),join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)),meet(X3,join(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)))),join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)),meet(X3,join(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)))),join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)),meet(X3,join(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)))),join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c154,plain,
meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3)) = meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3)),
inference(congruence,[status(thm)],[c153]) ).
cnf(c155,plain,
join(meet(X7,X3),meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3))) = join(meet(X7,X3),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3))),
inference(congruence,[status(thm)],[c154]) ).
cnf(c156,plain,
join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(join(meet(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)),meet(X,join(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)))),join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))),meet(join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(join(meet(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)),meet(X,join(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)))),join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))),join(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(join(meet(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)),meet(X,join(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)))),join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))))) = X4,
inference(substitution,[status(thm)],[c2]) ).
cnf(c157,plain,
join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5))))),meet(join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5))))))),X) = join(X5,X),
inference(congruence,[status(thm)],[c156]) ).
cnf(c158,plain,
meet(X5,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5))))),meet(join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5))))))),X)) = meet(X5,join(X5,X)),
inference(congruence,[status(thm)],[c157]) ).
cnf(c159,plain,
join(meet(X5,X),meet(X5,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5))))),meet(join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5))))))),X))) = join(meet(X5,X),meet(X5,join(X5,X))),
inference(congruence,[status(thm)],[c158]) ).
cnf(c160,plain,
join(meet(X5,X),meet(X5,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5))))),meet(join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5))))))),X))) = X5,
inference(transitivity,[status(thm)],[c159,c139]) ).
cnf(c161,plain,
join(meet(X7,X3),meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3))) = X7,
inference(transitivity,[status(thm)],[c155,c160]) ).
cnf(c162,plain,
join(meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3),meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(join(meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),X2),meet(X,join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))))))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))),meet(join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),join(meet(X8,join(join(meet(X7,X6),meet(X5,X7)),X7)),meet(join(meet(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)),meet(X4,join(X7,meet(meet(join(X7,X6),join(X5,X7)),X7)))),join(X8,join(join(meet(X7,X6),meet(X5,X7)),X7))))))),X3))) = X7,
inference(transitivity,[status(thm)],[c152,c161]) ).
cnf(c163,plain,
join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(join(meet(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)),meet(X,join(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)))),join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))) = X4,
inference(transitivity,[status(thm)],[c149,c162]) ).
cnf(c164,plain,
join(meet(join(meet(join(meet(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(join(meet(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(join(meet(join(meet(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(join(meet(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))),meet(join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)))),join(X,join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(meet(X5,meet(meet(join(X5,X4),join(X3,X5)),X5)),meet(X2,join(X5,meet(meet(join(X5,X4),join(X3,X5)),X5))))))),join(join(meet(X5,X4),meet(X3,X5)),X5)))) = X5,
inference(substitution,[status(thm)],[c163]) ).
cnf(c165,plain,
join(meet(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)),meet(X,join(X4,meet(meet(join(X4,X3),join(X2,X4)),X4)))) = X4,
inference(transitivity,[status(thm)],[c127,c164]) ).
cnf(c166,plain,
join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))) = join(meet(X7,X6),meet(X6,join(X7,X6))),
inference(substitution,[status(thm)],[c165]) ).
cnf(c167,plain,
join(meet(X7,X6),meet(X6,join(X7,X6))) = join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),
inference(symmetry,[status(thm)],[c166]) ).
cnf(c168,plain,
join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)),meet(join(meet(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X6,X3),join(X2,X6)),X6)))),join(X7,join(join(meet(X6,X3),meet(X2,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),meet(meet(join(join(meet(X7,X6),meet(X6,join(X7,X6))),X5),join(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c169,plain,
join(meet(X2,X),meet(X,join(X2,X))) = X,
inference(transitivity,[status(thm)],[c167,c168]) ).
cnf(c170,plain,
join(meet(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),meet(meet(meet(join(X3,X2),join(X,X3)),X3),join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)))) = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(substitution,[status(thm)],[c169]) ).
cnf(c171,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = join(meet(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),meet(meet(meet(join(X3,X2),join(X,X3)),X3),join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)))),
inference(symmetry,[status(thm)],[c170]) ).
cnf(c172,plain,
join(meet(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),meet(meet(meet(join(X3,X2),join(X,X3)),X3),join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)))) = X3,
inference(substitution,[status(thm)],[c165]) ).
cnf(c173,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = X3,
inference(transitivity,[status(thm)],[c171,c172]) ).
cnf(c174,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c173]) ).
cnf(c175,plain,
meet(X3,X3) = meet(meet(meet(join(X3,X2),join(X,X3)),X3),X3),
inference(congruence,[status(thm)],[c174]) ).
cnf(c176,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c173]) ).
cnf(c177,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),X3),X3) = meet(meet(meet(join(X3,X2),join(X,X3)),X3),meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c176]) ).
cnf(c178,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c173]) ).
cnf(c179,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = meet(meet(join(X3,X2),join(X,X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c178]) ).
cnf(c180,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),X3),meet(meet(join(X3,X2),join(X,X3)),X3)) = meet(meet(meet(join(X3,X2),join(X,X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c179]) ).
cnf(c181,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c173]) ).
cnf(c182,plain,
join(X3,X3) = join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c181]) ).
cnf(c183,plain,
meet(X3,join(X4,X4)) = meet(X3,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),
inference(congruence,[status(thm)],[c182]) ).
cnf(c184,plain,
join(meet(X4,X4),meet(X3,join(X4,X4))) = join(meet(X4,X4),meet(X3,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))),
inference(congruence,[status(thm)],[c183]) ).
cnf(c185,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c173]) ).
cnf(c186,plain,
meet(X3,X3) = meet(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c185]) ).
cnf(c187,plain,
join(meet(X4,X4),meet(X3,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))) = join(meet(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),meet(X3,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))),
inference(congruence,[status(thm)],[c186]) ).
cnf(c188,plain,
join(meet(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),meet(X3,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))) = X4,
inference(substitution,[status(thm)],[c165]) ).
cnf(c189,plain,
join(meet(X4,X4),meet(X3,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))) = X4,
inference(transitivity,[status(thm)],[c187,c188]) ).
cnf(c190,plain,
join(meet(X2,X2),meet(X,join(X2,X2))) = X2,
inference(transitivity,[status(thm)],[c184,c189]) ).
cnf(c191,plain,
join(meet(join(join(meet(X3,X2),meet(X,X3)),X3),join(join(meet(X3,X2),meet(X,X3)),X3)),meet(X3,join(join(join(meet(X3,X2),meet(X,X3)),X3),join(join(meet(X3,X2),meet(X,X3)),X3)))) = join(join(meet(X3,X2),meet(X,X3)),X3),
inference(substitution,[status(thm)],[c190]) ).
cnf(c192,plain,
join(join(meet(X3,X2),meet(X,X3)),X3) = join(meet(join(join(meet(X3,X2),meet(X,X3)),X3),join(join(meet(X3,X2),meet(X,X3)),X3)),meet(X3,join(join(join(meet(X3,X2),meet(X,X3)),X3),join(join(meet(X3,X2),meet(X,X3)),X3)))),
inference(symmetry,[status(thm)],[c191]) ).
cnf(c193,plain,
join(meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3),meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3))) = join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),
inference(substitution,[status(thm)],[c147]) ).
cnf(c194,plain,
join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))) = join(meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3),meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3))),
inference(symmetry,[status(thm)],[c193]) ).
cnf(c195,plain,
join(meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(meet(X4,join(join(meet(X3,X2),meet(X,X3)),X3)),meet(X3,join(X4,join(join(meet(X3,X2),meet(X,X3)),X3))))),meet(join(meet(X4,join(join(meet(X3,X2),meet(X,X3)),X3)),meet(X3,join(X4,join(join(meet(X3,X2),meet(X,X3)),X3)))),join(join(meet(X4,X3),meet(X3,join(X4,X3))),join(meet(X4,join(join(meet(X3,X2),meet(X,X3)),X3)),meet(X3,join(X4,join(join(meet(X3,X2),meet(X,X3)),X3))))))) = X3,
inference(substitution,[status(thm)],[c147]) ).
cnf(c196,plain,
meet(join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))),meet(join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))),join(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))))),X) = meet(X4,X),
inference(congruence,[status(thm)],[c195]) ).
cnf(c197,plain,
join(meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3),meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3))) = join(meet(X6,X3),meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3))),
inference(congruence,[status(thm)],[c196]) ).
cnf(c198,plain,
join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(join(meet(join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)))),X2),meet(X,join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)))))),join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)))))),meet(join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),join(join(meet(join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)))),X2),meet(X,join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)))))),join(meet(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X4),meet(X3,X5)),X5)))))))) = X5,
inference(substitution,[status(thm)],[c147]) ).
cnf(c199,plain,
meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3)) = meet(X6,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3)),
inference(congruence,[status(thm)],[c198]) ).
cnf(c200,plain,
join(meet(X6,X3),meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3))) = join(meet(X6,X3),meet(X6,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3))),
inference(congruence,[status(thm)],[c199]) ).
cnf(c201,plain,
join(meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(meet(X4,join(join(meet(X3,X2),meet(X,X3)),X3)),meet(X3,join(X4,join(join(meet(X3,X2),meet(X,X3)),X3))))),meet(join(meet(X4,join(join(meet(X3,X2),meet(X,X3)),X3)),meet(X3,join(X4,join(join(meet(X3,X2),meet(X,X3)),X3)))),join(join(meet(X4,X3),meet(X3,join(X4,X3))),join(meet(X4,join(join(meet(X3,X2),meet(X,X3)),X3)),meet(X3,join(X4,join(join(meet(X3,X2),meet(X,X3)),X3))))))) = X3,
inference(substitution,[status(thm)],[c147]) ).
cnf(c202,plain,
join(join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))),meet(join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))),join(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))))),X) = join(X4,X),
inference(congruence,[status(thm)],[c201]) ).
cnf(c203,plain,
meet(X4,join(join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))),meet(join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))),join(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))))),X)) = meet(X4,join(X4,X)),
inference(congruence,[status(thm)],[c202]) ).
cnf(c204,plain,
join(meet(X4,X),meet(X4,join(join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))),meet(join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))),join(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))))),X))) = join(meet(X4,X),meet(X4,join(X4,X))),
inference(congruence,[status(thm)],[c203]) ).
cnf(c205,plain,
join(meet(X4,X),meet(X4,join(join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))),meet(join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))),join(join(meet(X5,X4),meet(X4,join(X5,X4))),join(meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))))))),X))) = X4,
inference(transitivity,[status(thm)],[c204,c139]) ).
cnf(c206,plain,
join(meet(X6,X3),meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3))) = X6,
inference(transitivity,[status(thm)],[c200,c205]) ).
cnf(c207,plain,
join(meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3),meet(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),X2),meet(X,join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),join(meet(X7,join(join(meet(X6,X5),meet(X4,X6)),X6)),meet(X6,join(X7,join(join(meet(X6,X5),meet(X4,X6)),X6))))))),X3))) = X6,
inference(transitivity,[status(thm)],[c197,c206]) ).
cnf(c208,plain,
join(meet(X4,join(join(meet(X3,X2),meet(X,X3)),X3)),meet(X3,join(X4,join(join(meet(X3,X2),meet(X,X3)),X3)))) = X3,
inference(transitivity,[status(thm)],[c194,c207]) ).
cnf(c209,plain,
join(meet(join(join(meet(X3,X2),meet(X,X3)),X3),join(join(meet(X3,X2),meet(X,X3)),X3)),meet(X3,join(join(join(meet(X3,X2),meet(X,X3)),X3),join(join(meet(X3,X2),meet(X,X3)),X3)))) = X3,
inference(substitution,[status(thm)],[c208]) ).
cnf(c210,plain,
join(join(meet(X3,X2),meet(X,X3)),X3) = X3,
inference(transitivity,[status(thm)],[c192,c209]) ).
cnf(c211,plain,
join(join(meet(meet(X4,X3),X2),meet(X,meet(X4,X3))),meet(X4,X3)) = meet(X4,X3),
inference(substitution,[status(thm)],[c210]) ).
cnf(c212,plain,
meet(X4,X3) = join(join(meet(meet(X4,X3),X2),meet(X,meet(X4,X3))),meet(X4,X3)),
inference(symmetry,[status(thm)],[c211]) ).
cnf(c213,plain,
meet(X4,meet(X4,X3)) = meet(X4,join(join(meet(meet(X4,X3),X2),meet(X,meet(X4,X3))),meet(X4,X3))),
inference(congruence,[status(thm)],[c212]) ).
cnf(c214,plain,
meet(meet(X4,meet(X4,X3)),meet(X4,X3)) = meet(meet(X4,join(join(meet(meet(X4,X3),X2),meet(X,meet(X4,X3))),meet(X4,X3))),meet(X4,X3)),
inference(congruence,[status(thm)],[c213]) ).
cnf(c215,plain,
X2 = join(meet(X2,X),meet(X2,join(X2,X))),
inference(symmetry,[status(thm)],[c139]) ).
cnf(c216,plain,
meet(X3,join(X2,meet(X3,X))) = meet(join(meet(X3,X),meet(X3,join(X3,X))),join(X2,meet(X3,X))),
inference(congruence,[status(thm)],[c215]) ).
cnf(c217,plain,
meet(meet(X3,join(X2,meet(X3,X))),meet(X3,X)) = meet(meet(join(meet(X3,X),meet(X3,join(X3,X))),join(X2,meet(X3,X))),meet(X3,X)),
inference(congruence,[status(thm)],[c216]) ).
cnf(c218,plain,
meet(meet(join(meet(X3,X),meet(X3,join(X3,X))),join(X2,meet(X3,X))),meet(X3,X)) = meet(X3,X),
inference(substitution,[status(thm)],[c173]) ).
cnf(c219,plain,
meet(meet(X3,join(X2,meet(X3,X))),meet(X3,X)) = meet(X3,X),
inference(transitivity,[status(thm)],[c217,c218]) ).
cnf(c220,plain,
meet(meet(X4,join(join(meet(meet(X4,X3),X2),meet(X,meet(X4,X3))),meet(X4,X3))),meet(X4,X3)) = meet(X4,X3),
inference(substitution,[status(thm)],[c219]) ).
cnf(c221,plain,
meet(meet(X2,meet(X2,X)),meet(X2,X)) = meet(X2,X),
inference(transitivity,[status(thm)],[c214,c220]) ).
cnf(c222,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),meet(meet(join(X3,X2),join(X,X3)),X3)) = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(substitution,[status(thm)],[c221]) ).
cnf(c223,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),meet(meet(join(X3,X2),join(X,X3)),X3)) = X3,
inference(transitivity,[status(thm)],[c222,c173]) ).
cnf(c224,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),X3),meet(meet(join(X3,X2),join(X,X3)),X3)) = X3,
inference(transitivity,[status(thm)],[c180,c223]) ).
cnf(c225,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),X3),X3) = X3,
inference(transitivity,[status(thm)],[c177,c224]) ).
cnf(c226,plain,
meet(X,X) = X,
inference(transitivity,[status(thm)],[c175,c225]) ).
cnf(c227,plain,
meet(a,a) = a,
inference(substitution,[status(thm)],[c226]) ).
cnf(c228,plain,
$false,
inference(resolution,[status(thm)],[c1,c227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT092-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 14:06:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.23/1.30 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 6.23/1.30
% 6.23/1.30 % SZS status Unsatisfiable
% 6.23/1.30
% 9.39/1.68 % SZS output start CNFRefutation
% See solution above
% 27.70/4.01
% 27.70/4.01 RESULT: Unsatisfiable (the axioms are contradictory).
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