%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT093-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 10.94s 1.85s
% Output : CNFRefutation 48.72s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wal_axioms_2) ).
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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c3,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(c4,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)],[c3]) ).
cnf(c5,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)],[c4]) ).
cnf(c6,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)],[c5]) ).
cnf(c7,plain,
meet(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(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),X9)) = meet(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))))))),join(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),X9)),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,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)],[c7]) ).
cnf(c9,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(c10,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)],[c8,c9]) ).
cnf(c11,plain,
join(meet(join(meet(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X4),meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(join(meet(X7,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X7,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X4),meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))) = join(meet(X6,X5),meet(X5,join(X6,X5))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c12,plain,
join(meet(X6,X5),meet(X5,join(X6,X5))) = join(meet(join(meet(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X4),meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(join(meet(X7,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X7,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X4),meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,plain,
meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))),X5)) = meet(join(meet(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4),meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X8,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4),meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))),X5)),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
join(meet(join(meet(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))),X5),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))),X5))) = join(meet(join(meet(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))),X5),meet(join(meet(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4),meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X8,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4),meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))),X5))),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X5,X4),meet(X4,join(X5,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c16,plain,
join(meet(X5,X4),meet(X4,join(X5,X4))) = join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,plain,
meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X6,join(meet(X5,X4),meet(X4,join(X5,X4))))) = meet(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(X5,X4),meet(X4,join(X5,X4))))),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,plain,
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)))))) = join(meet(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))))),
inference(congruence,[status(thm)],[c17]) ).
cnf(c19,plain,
meet(join(meet(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))))),X4) = meet(join(meet(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))))),join(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))))),X4),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,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(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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)],[c19]) ).
cnf(c21,plain,
join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X5,X4),meet(X4,join(X5,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c22,plain,
join(meet(X5,X4),meet(X4,join(X5,X4))) = join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))),
inference(symmetry,[status(thm)],[c21]) ).
cnf(c23,plain,
join(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))) = join(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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))))))))))),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
meet(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(X5,X4),meet(X4,join(X5,X4))))) = meet(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))))),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
join(meet(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))))) = join(meet(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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))))))))))))),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
meet(join(meet(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))))),join(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))))),X4) = meet(join(meet(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))))),join(X7,join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))))),X4),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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)],[c26]) ).
cnf(c28,plain,
join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X5,X4),meet(X4,join(X5,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c29,plain,
join(meet(X5,X4),meet(X4,join(X5,X4))) = join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))),
inference(symmetry,[status(thm)],[c28]) ).
cnf(c30,plain,
meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X4) = meet(join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))))),X4),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,plain,
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(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
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(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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)],[c31]) ).
cnf(c33,plain,
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(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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)],[c32]) ).
cnf(c34,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(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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))))))) = join(meet(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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)],[c33]) ).
cnf(c35,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(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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)) = meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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)],[c34]) ).
cnf(c36,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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)],[c35]) ).
cnf(c37,plain,
join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X5,X4),meet(X4,join(X5,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c38,plain,
join(meet(X5,X4),meet(X4,join(X5,X4))) = join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,plain,
meet(X4,join(meet(X6,X5),meet(X5,join(X6,X5)))) = meet(X4,join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))) = join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(congruence,[status(thm)],[c40]) ).
cnf(c42,plain,
meet(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
join(meet(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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))))))) = join(meet(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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)],[c42]) ).
cnf(c44,plain,
meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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)) = meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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)],[c43]) ).
cnf(c45,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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)],[c44]) ).
cnf(c46,plain,
join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X5,X4),meet(X4,join(X5,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c47,plain,
join(meet(X5,X4),meet(X4,join(X5,X4))) = join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,plain,
join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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)))) = join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
meet(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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))))) = meet(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),
inference(congruence,[status(thm)],[c48]) ).
cnf(c50,plain,
join(meet(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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))))))) = join(meet(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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)],[c49]) ).
cnf(c51,plain,
meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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)) = meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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)],[c50]) ).
cnf(c52,plain,
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join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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)],[c51]) ).
cnf(c53,plain,
join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X5,X4),meet(X4,join(X5,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c54,plain,
join(meet(X5,X4),meet(X4,join(X5,X4))) = join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))),
inference(symmetry,[status(thm)],[c53]) ).
cnf(c55,plain,
meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X4) = meet(join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))))),X4),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,plain,
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(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
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(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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)],[c56]) ).
cnf(c58,plain,
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(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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)],[c57]) ).
cnf(c59,plain,
meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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)))))) = meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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)],[c58]) ).
cnf(c60,plain,
join(meet(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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))))))) = join(meet(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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)],[c59]) ).
cnf(c61,plain,
meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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)) = meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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)],[c60]) ).
cnf(c62,plain,
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= join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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)],[c61]) ).
cnf(c63,plain,
join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X5,X4),meet(X4,join(X5,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c64,plain,
join(meet(X5,X4),meet(X4,join(X5,X4))) = join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))),
inference(symmetry,[status(thm)],[c63]) ).
cnf(c65,plain,
meet(X4,join(meet(X6,X5),meet(X5,join(X6,X5)))) = meet(X4,join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(X7,X6),meet(X6,join(X7,X6))))) = join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
join(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(congruence,[status(thm)],[c67]) ).
cnf(c69,plain,
meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
join(meet(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),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(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X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inference(congruence,[status(thm)],[c70]) ).
cnf(c72,plain,
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= 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join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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)],[c71]) ).
cnf(c73,plain,
join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X5,X4),meet(X4,join(X5,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c74,plain,
join(meet(X5,X4),meet(X4,join(X5,X4))) = join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))),
inference(symmetry,[status(thm)],[c73]) ).
cnf(c75,plain,
join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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)))) = join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),
inference(congruence,[status(thm)],[c74]) ).
cnf(c76,plain,
join(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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))))) = join(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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)))))) = meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))))),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
join(meet(X8,join(join(meet(join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),join(meet(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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(join(meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X3,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),me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inference(congruence,[status(thm)],[c77]) ).
cnf(c79,plain,
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= 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inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
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8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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)],[c79]) ).
cnf(c81,plain,
join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X5,X4),meet(X4,join(X5,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c82,plain,
join(meet(X5,X4),meet(X4,join(X5,X4))) = join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))),
inference(symmetry,[status(thm)],[c81]) ).
cnf(c83,plain,
meet(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))) = meet(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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))))))))))),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,plain,
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)))))) = join(meet(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))))),
inference(congruence,[status(thm)],[c83]) ).
cnf(c85,plain,
join(join(meet(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))))),X4) = join(join(meet(X7,join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))))),X4),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))))),join(join(meet(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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)],[c85]) ).
cnf(c87,plain,
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= 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inference(congruence,[status(thm)],[c86]) ).
cnf(c88,plain,
join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X5,X4),meet(X4,join(X5,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c89,plain,
join(meet(X5,X4),meet(X4,join(X5,X4))) = join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c90,plain,
meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X6,join(meet(X5,X4),meet(X4,join(X5,X4))))) = meet(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(X5,X4),meet(X4,join(X5,X4))))),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
join(meet(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))))) = join(meet(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))))),
inference(congruence,[status(thm)],[c90]) ).
cnf(c92,plain,
join(join(meet(X7,join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))))),X4) = join(join(meet(X7,join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))),meet(join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))))),join(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))))),X4),
inference(congruence,[status(thm)],[c91]) ).
cnf(c93,plain,
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= 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inference(congruence,[status(thm)],[c92]) ).
cnf(c94,plain,
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inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X5,X4),meet(X4,join(X5,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c96,plain,
join(meet(X5,X4),meet(X4,join(X5,X4))) = join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))),
inference(symmetry,[status(thm)],[c95]) ).
cnf(c97,plain,
join(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))) = join(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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))))))))))),
inference(congruence,[status(thm)],[c96]) ).
cnf(c98,plain,
meet(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(X5,X4),meet(X4,join(X5,X4))))) = meet(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))))),
inference(congruence,[status(thm)],[c97]) ).
cnf(c99,plain,
join(meet(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))))) = join(meet(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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))))))))))))),
inference(congruence,[status(thm)],[c98]) ).
cnf(c100,plain,
join(join(meet(X7,join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))),meet(join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))))),join(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))))),X4) = join(join(meet(X7,join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))),meet(join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))))),join(X7,join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))))),X4),
inference(congruence,[status(thm)],[c99]) ).
cnf(c101,plain,
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= 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inference(congruence,[status(thm)],[c100]) ).
cnf(c102,plain,
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inference(congruence,[status(thm)],[c101]) ).
cnf(c103,plain,
join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X5,X4),meet(X4,join(X5,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c104,plain,
join(meet(X5,X4),meet(X4,join(X5,X4))) = join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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)))))))))),
inference(symmetry,[status(thm)],[c103]) ).
cnf(c105,plain,
meet(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))) = meet(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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))))))))))),
inference(congruence,[status(thm)],[c104]) ).
cnf(c106,plain,
join(meet(X6,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(X6,join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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))))))))))))),
inference(congruence,[status(thm)],[c105]) ).
cnf(c107,plain,
meet(join(meet(X7,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))))),join(X7,join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))))),X4) = meet(join(meet(X7,join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))),meet(join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))))),join(X7,join(meet(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))),join(join(meet(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),join(X3,join(meet(X6,X5),meet(X5,join(X6,X5)))))),join(meet(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X2),meet(X,join(meet(X6,X5),meet(X5,join(X6,X5))))),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))))),X4),
inference(congruence,[status(thm)],[c106]) ).
cnf(c108,plain,
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inference(congruence,[status(thm)],[c107]) ).
cnf(c109,plain,
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meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6))) = join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c110,plain,
join(meet(join(meet(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(join(meet(X3,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(X3,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(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X3,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(meet(X3,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(X3,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(meet(X5,X4),meet(X4,join(X5,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c111,plain,
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meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6))) = join(meet(X8,X7),meet(X7,join(X8,X7))),
inference(transitivity,[status(thm)],[c109,c110]) ).
cnf(c112,plain,
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= join(meet(X8,X7),meet(X7,join(X8,X7))),
inference(transitivity,[status(thm)],[c108,c111]) ).
cnf(c113,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(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= join(meet(X8,X7),meet(X7,join(X8,X7))),
inference(transitivity,[status(thm)],[c102,c112]) ).
cnf(c114,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X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= join(meet(X8,X7),meet(X7,join(X8,X7))),
inference(transitivity,[status(thm)],[c94,c113]) ).
cnf(c115,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(transitivity,[status(thm)],[c87,c114]) ).
cnf(c116,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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(transitivity,[status(thm)],[c80,c115]) ).
cnf(c117,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(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= join(meet(X8,X7),meet(X7,join(X8,X7))),
inference(transitivity,[status(thm)],[c72,c116]) ).
cnf(c118,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(transitivity,[status(thm)],[c62,c117]) ).
cnf(c119,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X5),meet(X4,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(transitivity,[status(thm)],[c52,c118]) ).
cnf(c120,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(transitivity,[status(thm)],[c45,c119]) ).
cnf(c121,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),join(X9,join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(transitivity,[status(thm)],[c36,c120]) ).
cnf(c122,plain,
join(meet(join(meet(X9,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(join(meet(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),join(X3,join(meet(X8,X7),meet(X7,join(X8,X7)))))),join(meet(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),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(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(transitivity,[status(thm)],[c27,c121]) ).
cnf(c123,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(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,join(meet(X8,X7),meet(X7,join(X8,X7))))),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X2),meet(X,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(transitivity,[status(thm)],[c20,c122]) ).
cnf(c124,plain,
join(meet(join(meet(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))),X5),meet(join(meet(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4),meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X8,join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X2),meet(X,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))),X2),meet(X,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(join(meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4),meet(X3,join(meet(X7,X6),meet(X6,join(X7,X6))))),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(join(meet(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(join(meet(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),join(X8,join(meet(X7,X6),meet(X6,join(X7,X6)))))),join(meet(X7,X6),meet(X6,join(X7,X6)))))),X5))) = join(meet(X7,X6),meet(X6,join(X7,X6))),
inference(substitution,[status(thm)],[c123]) ).
cnf(c125,plain,
join(meet(join(meet(join(meet(X4,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X4,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X4,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X4,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))),X),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(join(meet(X4,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X4,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X4,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X4,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))),X))) = join(meet(X3,X2),meet(X2,join(X3,X2))),
inference(transitivity,[status(thm)],[c14,c124]) ).
cnf(c126,plain,
join(meet(join(meet(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))) = join(meet(X3,X2),meet(X2,join(X3,X2))),
inference(substitution,[status(thm)],[c125]) ).
cnf(c127,plain,
join(meet(X3,X2),meet(X2,join(X3,X2))) = join(meet(join(meet(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))),
inference(symmetry,[status(thm)],[c126]) ).
cnf(c128,plain,
join(join(meet(X4,X3),meet(X3,join(X4,X3))),X2) = join(join(meet(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),X2),
inference(congruence,[status(thm)],[c127]) ).
cnf(c129,plain,
meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X4,X3),meet(X3,join(X4,X3))),X2)) = meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),X2)),
inference(congruence,[status(thm)],[c128]) ).
cnf(c130,plain,
join(meet(join(meet(X4,X3),meet(X3,join(X4,X3))),X2),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X4,X3),meet(X3,join(X4,X3))),X2))) = join(meet(join(meet(X4,X3),meet(X3,join(X4,X3))),X2),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),X2))),
inference(congruence,[status(thm)],[c129]) ).
cnf(c131,plain,
join(meet(join(meet(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))) = join(meet(X3,X2),meet(X2,join(X3,X2))),
inference(substitution,[status(thm)],[c125]) ).
cnf(c132,plain,
join(meet(X3,X2),meet(X2,join(X3,X2))) = join(meet(join(meet(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X,join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))),join(meet(X3,X2),meet(X2,join(X3,X2)))))),
inference(symmetry,[status(thm)],[c131]) ).
cnf(c133,plain,
meet(join(meet(X4,X3),meet(X3,join(X4,X3))),X2) = meet(join(meet(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),X2),
inference(congruence,[status(thm)],[c132]) ).
cnf(c134,plain,
join(meet(join(meet(X4,X3),meet(X3,join(X4,X3))),X2),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),X2))) = join(meet(join(meet(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),X2),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),X2))),
inference(congruence,[status(thm)],[c133]) ).
cnf(c135,plain,
join(meet(join(meet(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),X2),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),X2))) = join(meet(X4,X3),meet(X3,join(X4,X3))),
inference(substitution,[status(thm)],[c125]) ).
cnf(c136,plain,
join(meet(join(meet(X4,X3),meet(X3,join(X4,X3))),X2),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(join(meet(X,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(meet(X4,X3),meet(X3,join(X4,X3)))))),X2))) = join(meet(X4,X3),meet(X3,join(X4,X3))),
inference(transitivity,[status(thm)],[c134,c135]) ).
cnf(c137,plain,
join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X3,X2),meet(X2,join(X3,X2))),X))) = join(meet(X3,X2),meet(X2,join(X3,X2))),
inference(transitivity,[status(thm)],[c130,c136]) ).
cnf(c138,plain,
join(meet(X3,X2),meet(X2,join(X3,X2))) = join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X3,X2),meet(X2,join(X3,X2))),X))),
inference(symmetry,[status(thm)],[c137]) ).
cnf(c139,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(c140,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)],[c139]) ).
cnf(c141,plain,
meet(X6,join(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))))))),join(X6,X5)),
inference(congruence,[status(thm)],[c140]) ).
cnf(c142,plain,
join(meet(X6,X5),meet(X6,join(X6,X5))) = join(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))))))),join(X6,X5))),
inference(congruence,[status(thm)],[c141]) ).
cnf(c143,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(c144,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)],[c143]) ).
cnf(c145,plain,
join(X6,X5) = join(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)],[c144]) ).
cnf(c146,plain,
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(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))))))),join(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)],[c145]) ).
cnf(c147,plain,
join(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))))))),join(X6,X5))) = join(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))))))),join(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)],[c146]) ).
cnf(c148,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(c149,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)],[c148]) ).
cnf(c150,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)],[c149]) ).
cnf(c151,plain,
join(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))))))),join(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))) = join(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),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(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)],[c150]) ).
cnf(c152,plain,
join(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),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(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))) = 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(substitution,[status(thm)],[c137]) ).
cnf(c153,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(c154,plain,
join(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),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(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))) = X6,
inference(transitivity,[status(thm)],[c152,c153]) ).
cnf(c155,plain,
join(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))))))),join(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))) = X6,
inference(transitivity,[status(thm)],[c151,c154]) ).
cnf(c156,plain,
join(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))))))),join(X6,X5))) = X6,
inference(transitivity,[status(thm)],[c147,c155]) ).
cnf(c157,plain,
join(meet(X2,X),meet(X2,join(X2,X))) = X2,
inference(transitivity,[status(thm)],[c142,c156]) ).
cnf(c158,plain,
join(meet(X4,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X2),meet(X,join(meet(X3,X4),meet(X4,join(X3,X4))))),join(meet(X3,X4),meet(X4,join(X3,X4))))),meet(X4,join(X4,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X2),meet(X,join(meet(X3,X4),meet(X4,join(X3,X4))))),join(meet(X3,X4),meet(X4,join(X3,X4))))))) = X4,
inference(substitution,[status(thm)],[c157]) ).
cnf(c159,plain,
X4 = join(meet(X4,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X2),meet(X,join(meet(X3,X4),meet(X4,join(X3,X4))))),join(meet(X3,X4),meet(X4,join(X3,X4))))),meet(X4,join(X4,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X2),meet(X,join(meet(X3,X4),meet(X4,join(X3,X4))))),join(meet(X3,X4),meet(X4,join(X3,X4))))))),
inference(symmetry,[status(thm)],[c158]) ).
cnf(c160,plain,
meet(X5,join(join(meet(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))))),X3)) = meet(join(meet(X5,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),X2),meet(X,join(meet(X4,X5),meet(X5,join(X4,X5))))),join(meet(X4,X5),meet(X5,join(X4,X5))))),meet(X5,join(X5,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),X2),meet(X,join(meet(X4,X5),meet(X5,join(X4,X5))))),join(meet(X4,X5),meet(X5,join(X4,X5))))))),join(join(meet(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))))),X3)),
inference(congruence,[status(thm)],[c159]) ).
cnf(c161,plain,
join(meet(join(meet(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))))),X3),meet(X5,join(join(meet(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))))),X3))) = join(meet(join(meet(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))))),X3),meet(join(meet(X5,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),X2),meet(X,join(meet(X4,X5),meet(X5,join(X4,X5))))),join(meet(X4,X5),meet(X5,join(X4,X5))))),meet(X5,join(X5,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),X2),meet(X,join(meet(X4,X5),meet(X5,join(X4,X5))))),join(meet(X4,X5),meet(X5,join(X4,X5))))))),join(join(meet(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))))),X3))),
inference(congruence,[status(thm)],[c160]) ).
cnf(c162,plain,
join(meet(join(meet(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))))),X3),meet(join(meet(X5,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),X2),meet(X,join(meet(X4,X5),meet(X5,join(X4,X5))))),join(meet(X4,X5),meet(X5,join(X4,X5))))),meet(X5,join(X5,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),X2),meet(X,join(meet(X4,X5),meet(X5,join(X4,X5))))),join(meet(X4,X5),meet(X5,join(X4,X5))))))),join(join(meet(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(X5,join(meet(X4,X5),meet(X5,join(X4,X5)))))),X3))) = join(meet(X4,X5),meet(X5,join(X4,X5))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c163,plain,
join(meet(join(meet(X3,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X3,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X),meet(X3,join(join(meet(X3,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X3,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X))) = join(meet(X2,X3),meet(X3,join(X2,X3))),
inference(transitivity,[status(thm)],[c161,c162]) ).
cnf(c164,plain,
join(meet(join(meet(X,join(meet(X2,X),meet(X,join(X2,X)))),meet(join(meet(X2,X),meet(X,join(X2,X))),join(X,join(meet(X2,X),meet(X,join(X2,X)))))),X),meet(X,join(join(meet(X,join(meet(X2,X),meet(X,join(X2,X)))),meet(join(meet(X2,X),meet(X,join(X2,X))),join(X,join(meet(X2,X),meet(X,join(X2,X)))))),X))) = join(meet(X2,X),meet(X,join(X2,X))),
inference(substitution,[status(thm)],[c163]) ).
cnf(c165,plain,
join(meet(X2,X),meet(X,join(X2,X))) = join(meet(join(meet(X,join(meet(X2,X),meet(X,join(X2,X)))),meet(join(meet(X2,X),meet(X,join(X2,X))),join(X,join(meet(X2,X),meet(X,join(X2,X)))))),X),meet(X,join(join(meet(X,join(meet(X2,X),meet(X,join(X2,X)))),meet(join(meet(X2,X),meet(X,join(X2,X))),join(X,join(meet(X2,X),meet(X,join(X2,X)))))),X))),
inference(symmetry,[status(thm)],[c164]) ).
cnf(c166,plain,
join(join(meet(X3,X2),meet(X2,join(X3,X2))),X) = join(join(meet(join(meet(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))))),X2),meet(X2,join(join(meet(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))))),X2))),X),
inference(congruence,[status(thm)],[c165]) ).
cnf(c167,plain,
meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X3,X2),meet(X2,join(X3,X2))),X)) = meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(join(meet(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))))),X2),meet(X2,join(join(meet(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))))),X2))),X)),
inference(congruence,[status(thm)],[c166]) ).
cnf(c168,plain,
join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X3,X2),meet(X2,join(X3,X2))),X))) = join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(join(meet(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))))),X2),meet(X2,join(join(meet(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))))),X2))),X))),
inference(congruence,[status(thm)],[c167]) ).
cnf(c169,plain,
join(meet(join(meet(X3,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X3,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(join(meet(X3,X2),meet(X,X3)),X3)),meet(X3,join(join(meet(X3,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X3,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(join(meet(X3,X2),meet(X,X3)),X3)))) = join(meet(X4,X3),meet(X3,join(X4,X3))),
inference(substitution,[status(thm)],[c163]) ).
cnf(c170,plain,
join(meet(X4,X3),meet(X3,join(X4,X3))) = join(meet(join(meet(X3,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X3,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(join(meet(X3,X2),meet(X,X3)),X3)),meet(X3,join(join(meet(X3,join(meet(X4,X3),meet(X3,join(X4,X3)))),meet(join(meet(X4,X3),meet(X3,join(X4,X3))),join(X3,join(meet(X4,X3),meet(X3,join(X4,X3)))))),join(join(meet(X3,X2),meet(X,X3)),X3)))),
inference(symmetry,[status(thm)],[c169]) ).
cnf(c171,plain,
meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4))),X3)) = meet(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(join(meet(X4,X2),meet(X,X4)),X4)),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(join(meet(X4,X2),meet(X,X4)),X4)))),join(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4))),X3)),
inference(congruence,[status(thm)],[c170]) ).
cnf(c172,plain,
join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X3),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4))),X3))) = join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X3),meet(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(join(meet(X4,X2),meet(X,X4)),X4)),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(join(meet(X4,X2),meet(X,X4)),X4)))),join(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4))),X3))),
inference(congruence,[status(thm)],[c171]) ).
cnf(c173,plain,
join(meet(join(meet(X,join(meet(X2,X),meet(X,join(X2,X)))),meet(join(meet(X2,X),meet(X,join(X2,X))),join(X,join(meet(X2,X),meet(X,join(X2,X)))))),X),meet(X,join(join(meet(X,join(meet(X2,X),meet(X,join(X2,X)))),meet(join(meet(X2,X),meet(X,join(X2,X))),join(X,join(meet(X2,X),meet(X,join(X2,X)))))),X))) = join(meet(X2,X),meet(X,join(X2,X))),
inference(substitution,[status(thm)],[c163]) ).
cnf(c174,plain,
join(meet(X2,X),meet(X,join(X2,X))) = join(meet(join(meet(X,join(meet(X2,X),meet(X,join(X2,X)))),meet(join(meet(X2,X),meet(X,join(X2,X))),join(X,join(meet(X2,X),meet(X,join(X2,X)))))),X),meet(X,join(join(meet(X,join(meet(X2,X),meet(X,join(X2,X)))),meet(join(meet(X2,X),meet(X,join(X2,X))),join(X,join(meet(X2,X),meet(X,join(X2,X)))))),X))),
inference(symmetry,[status(thm)],[c173]) ).
cnf(c175,plain,
meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X) = meet(join(meet(join(meet(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))))),X2),meet(X2,join(join(meet(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))))),X2))),X),
inference(congruence,[status(thm)],[c174]) ).
cnf(c176,plain,
join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X3),meet(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(join(meet(X4,X2),meet(X,X4)),X4)),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(join(meet(X4,X2),meet(X,X4)),X4)))),join(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4))),X3))) = join(meet(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4))),X3),meet(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(join(meet(X4,X2),meet(X,X4)),X4)),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(join(meet(X4,X2),meet(X,X4)),X4)))),join(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4))),X3))),
inference(congruence,[status(thm)],[c175]) ).
cnf(c177,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(c178,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)],[c177]) ).
cnf(c179,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)],[c178]) ).
cnf(c180,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)],[c179]) ).
cnf(c181,plain,
meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X5) = meet(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))),X5),
inference(congruence,[status(thm)],[c180]) ).
cnf(c182,plain,
join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X5),meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))) = join(meet(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))),X5),meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))),
inference(congruence,[status(thm)],[c181]) ).
cnf(c183,plain,
meet(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))),X5) = meet(join(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))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),
inference(congruence,[status(thm)],[c182]) ).
cnf(c184,plain,
join(meet(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))),X5),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))),X5))) = join(meet(join(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))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),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))),X5))),
inference(congruence,[status(thm)],[c183]) ).
cnf(c185,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(c186,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)],[c185]) ).
cnf(c187,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)],[c186]) ).
cnf(c188,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)],[c187]) ).
cnf(c189,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)],[c188]) ).
cnf(c190,plain,
meet(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))),X5) = meet(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)))))))))),X5),
inference(congruence,[status(thm)],[c189]) ).
cnf(c191,plain,
join(meet(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))),X5),meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))) = join(meet(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)))))))))),X5),meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))),
inference(congruence,[status(thm)],[c190]) ).
cnf(c192,plain,
meet(join(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))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5) = meet(join(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)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),
inference(congruence,[status(thm)],[c191]) ).
cnf(c193,plain,
join(meet(join(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))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),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))),X5))) = join(meet(join(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)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),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))),X5))),
inference(congruence,[status(thm)],[c192]) ).
cnf(c194,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(c195,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)],[c194]) ).
cnf(c196,plain,
meet(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)))))))))),X5) = meet(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(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)],[c195]) ).
cnf(c197,plain,
join(meet(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)))))))))),X5),meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))) = join(meet(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(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(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))),
inference(congruence,[status(thm)],[c196]) ).
cnf(c198,plain,
meet(join(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)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5) = meet(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),
inference(congruence,[status(thm)],[c197]) ).
cnf(c199,plain,
join(meet(join(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)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),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))),X5))) = join(meet(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),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))),X5))),
inference(congruence,[status(thm)],[c198]) ).
cnf(c200,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(c201,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)],[c200]) ).
cnf(c202,plain,
meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,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(join(meet(X6,X5),meet(X5,join(X6,X5))),X5)),
inference(congruence,[status(thm)],[c201]) ).
cnf(c203,plain,
join(meet(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(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(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))) = join(meet(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(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(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))),
inference(congruence,[status(thm)],[c202]) ).
cnf(c204,plain,
meet(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5) = meet(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),
inference(congruence,[status(thm)],[c203]) ).
cnf(c205,plain,
join(meet(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),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))),X5))) = join(meet(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),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))),X5))),
inference(congruence,[status(thm)],[c204]) ).
cnf(c206,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(c207,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)],[c206]) ).
cnf(c208,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)],[c207]) ).
cnf(c209,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)],[c208]) ).
cnf(c210,plain,
join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5) = join(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))),X5),
inference(congruence,[status(thm)],[c209]) ).
cnf(c211,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(join(meet(X6,X5),meet(X5,join(X6,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(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))),X5)),
inference(congruence,[status(thm)],[c210]) ).
cnf(c212,plain,
join(meet(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(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(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))) = join(meet(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(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(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))),X5))),
inference(congruence,[status(thm)],[c211]) ).
cnf(c213,plain,
meet(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5) = meet(join(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)))))))))),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(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))),X6))),X5),
inference(congruence,[status(thm)],[c212]) ).
cnf(c214,plain,
join(meet(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),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))),X5))) = join(meet(join(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)))))))))),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(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))),X6))),X5),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))),X5))),
inference(congruence,[status(thm)],[c213]) ).
cnf(c215,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(c216,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)],[c215]) ).
cnf(c217,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)],[c216]) ).
cnf(c218,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)],[c217]) ).
cnf(c219,plain,
join(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))),X5) = join(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))),X5),
inference(congruence,[status(thm)],[c218]) ).
cnf(c220,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(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))),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(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))),X5)),
inference(congruence,[status(thm)],[c219]) ).
cnf(c221,plain,
join(meet(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(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(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))),X5))) = join(meet(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(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(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))),X5))),
inference(congruence,[status(thm)],[c220]) ).
cnf(c222,plain,
meet(join(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)))))))))),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(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))),X6))),X5) = meet(join(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)))))))))),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(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))),X6))),X5),
inference(congruence,[status(thm)],[c221]) ).
cnf(c223,plain,
join(meet(join(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)))))))))),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(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))),X6))),X5),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))),X5))) = join(meet(join(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)))))))))),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(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))),X6))),X5),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))),X5))),
inference(congruence,[status(thm)],[c222]) ).
cnf(c224,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(c225,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)],[c224]) ).
cnf(c226,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)],[c225]) ).
cnf(c227,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)],[c226]) ).
cnf(c228,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)],[c227]) ).
cnf(c229,plain,
join(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))),X5) = join(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)))))))))),X5),
inference(congruence,[status(thm)],[c228]) ).
cnf(c230,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(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))),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(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)))))))))),X5)),
inference(congruence,[status(thm)],[c229]) ).
cnf(c231,plain,
join(meet(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(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(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))),X5))) = join(meet(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(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(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)))))))))),X5))),
inference(congruence,[status(thm)],[c230]) ).
cnf(c232,plain,
meet(join(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)))))))))),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(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))),X6))),X5) = meet(join(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)))))))))),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(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)))))))))),X6))),X5),
inference(congruence,[status(thm)],[c231]) ).
cnf(c233,plain,
join(meet(join(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)))))))))),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(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))),X6))),X5),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))),X5))) = join(meet(join(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)))))))))),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(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)))))))))),X6))),X5),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))),X5))),
inference(congruence,[status(thm)],[c232]) ).
cnf(c234,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(c235,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)],[c234]) ).
cnf(c236,plain,
join(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)))))))))),X5) = join(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)))))))))),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)],[c235]) ).
cnf(c237,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(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)))))))))),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(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)))))))))),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)],[c236]) ).
cnf(c238,plain,
join(meet(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(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(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)))))))))),X5))) = join(meet(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(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(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)))))))))),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)],[c237]) ).
cnf(c239,plain,
meet(join(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)))))))))),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(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)))))))))),X6))),X5) = meet(join(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)))))))))),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(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)))))))))),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)],[c238]) ).
cnf(c240,plain,
join(meet(join(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)))))))))),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(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)))))))))),X6))),X5),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))),X5))) = join(meet(join(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)))))))))),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(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)))))))))),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(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))),X5))),
inference(congruence,[status(thm)],[c239]) ).
cnf(c241,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(c242,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)],[c241]) ).
cnf(c243,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))),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))))))),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))),X5)),
inference(congruence,[status(thm)],[c242]) ).
cnf(c244,plain,
join(meet(join(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)))))))))),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(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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= join(meet(join(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)))))))))),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(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)))))))))),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(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(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))),X5))),
inference(congruence,[status(thm)],[c243]) ).
cnf(c245,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(c246,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)],[c245]) ).
cnf(c247,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)],[c246]) ).
cnf(c248,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)],[c247]) ).
cnf(c249,plain,
meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X5) = meet(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))),X5),
inference(congruence,[status(thm)],[c248]) ).
cnf(c250,plain,
join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X5),meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))) = join(meet(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))),X5),meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))),
inference(congruence,[status(thm)],[c249]) ).
cnf(c251,plain,
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))),X5) = join(join(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(X6,join(X7,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),
inference(congruence,[status(thm)],[c250]) ).
cnf(c252,plain,
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(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))),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))))))),join(join(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(X6,join(X7,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5)),
inference(congruence,[status(thm)],[c251]) ).
cnf(c253,plain,
join(meet(join(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)))))))))),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(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)))))))))),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(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(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))),X5))) = join(meet(join(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)))))))))),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(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)))))))))),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(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(join(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(X6,join(X7,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5))),
inference(congruence,[status(thm)],[c252]) ).
cnf(c254,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(c255,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)],[c254]) ).
cnf(c256,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)],[c255]) ).
cnf(c257,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)],[c256]) ).
cnf(c258,plain,
meet(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))),X5) = meet(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))),X5),
inference(congruence,[status(thm)],[c257]) ).
cnf(c259,plain,
join(meet(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))),X5),meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))) = join(meet(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))),X5),meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))),
inference(congruence,[status(thm)],[c258]) ).
cnf(c260,plain,
join(join(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(X6,join(X7,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5) = join(join(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,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),
inference(congruence,[status(thm)],[c259]) ).
cnf(c261,plain,
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(join(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(X6,join(X7,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),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))))))),join(join(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,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5)),
inference(congruence,[status(thm)],[c260]) ).
cnf(c262,plain,
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= join(meet(join(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)))))))))),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(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)))))))))),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(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(join(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,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5))),
inference(congruence,[status(thm)],[c261]) ).
cnf(c263,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(c264,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)],[c263]) ).
cnf(c265,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)],[c264]) ).
cnf(c266,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)],[c265]) ).
cnf(c267,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)],[c266]) ).
cnf(c268,plain,
meet(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))),X5) = meet(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)))))))))),X5),
inference(congruence,[status(thm)],[c267]) ).
cnf(c269,plain,
join(meet(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))),X5),meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))) = join(meet(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)))))))))),X5),meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))),
inference(congruence,[status(thm)],[c268]) ).
cnf(c270,plain,
join(join(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,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5) = join(join(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)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),
inference(congruence,[status(thm)],[c269]) ).
cnf(c271,plain,
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(join(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,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),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))))))),join(join(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)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5)),
inference(congruence,[status(thm)],[c270]) ).
cnf(c272,plain,
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= join(meet(join(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)))))))))),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(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)))))))))),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(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(join(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)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5))),
inference(congruence,[status(thm)],[c271]) ).
cnf(c273,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(c274,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)],[c273]) ).
cnf(c275,plain,
meet(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)))))))))),X5) = meet(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)))))))))),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)],[c274]) ).
cnf(c276,plain,
join(meet(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)))))))))),X5),meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))) = join(meet(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)))))))))),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(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))),
inference(congruence,[status(thm)],[c275]) ).
cnf(c277,plain,
join(join(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)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5) = join(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),
inference(congruence,[status(thm)],[c276]) ).
cnf(c278,plain,
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(join(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)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),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))))))),join(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5)),
inference(congruence,[status(thm)],[c277]) ).
cnf(c279,plain,
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= join(meet(join(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)))))))))),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(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)))))))))),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(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(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5))),
inference(congruence,[status(thm)],[c278]) ).
cnf(c280,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(c281,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)],[c280]) ).
cnf(c282,plain,
meet(X5,join(join(meet(X6,X5),meet(X5,join(X6,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(join(meet(X6,X5),meet(X5,join(X6,X5))),X5)),
inference(congruence,[status(thm)],[c281]) ).
cnf(c283,plain,
join(meet(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)))))))))),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(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))) = join(meet(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)))))))))),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(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))),
inference(congruence,[status(thm)],[c282]) ).
cnf(c284,plain,
join(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5) = join(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),
inference(congruence,[status(thm)],[c283]) ).
cnf(c285,plain,
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(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),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))))))),join(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5)),
inference(congruence,[status(thm)],[c284]) ).
cnf(c286,plain,
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= join(meet(join(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)))))))))),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(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)))))))))),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(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(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5))),
inference(congruence,[status(thm)],[c285]) ).
cnf(c287,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(c288,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)],[c287]) ).
cnf(c289,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)],[c288]) ).
cnf(c290,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)],[c289]) ).
cnf(c291,plain,
join(join(meet(X6,X5),meet(X5,join(X6,X5))),X5) = join(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))),X5),
inference(congruence,[status(thm)],[c290]) ).
cnf(c292,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(join(meet(X6,X5),meet(X5,join(X6,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(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))),X5)),
inference(congruence,[status(thm)],[c291]) ).
cnf(c293,plain,
join(meet(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)))))))))),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(join(meet(X6,X5),meet(X5,join(X6,X5))),X5))) = join(meet(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)))))))))),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(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))),X5))),
inference(congruence,[status(thm)],[c292]) ).
cnf(c294,plain,
join(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5) = join(join(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)))))))))),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(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))),X6))),X5),
inference(congruence,[status(thm)],[c293]) ).
cnf(c295,plain,
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(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),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))))))),join(join(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)))))))))),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(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))),X6))),X5)),
inference(congruence,[status(thm)],[c294]) ).
cnf(c296,plain,
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= join(meet(join(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)))))))))),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(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)))))))))),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(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(join(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)))))))))),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(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))),X6))),X5))),
inference(congruence,[status(thm)],[c295]) ).
cnf(c297,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(c298,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)],[c297]) ).
cnf(c299,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)],[c298]) ).
cnf(c300,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)],[c299]) ).
cnf(c301,plain,
join(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))),X5) = join(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))),X5),
inference(congruence,[status(thm)],[c300]) ).
cnf(c302,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(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))),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(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))),X5)),
inference(congruence,[status(thm)],[c301]) ).
cnf(c303,plain,
join(meet(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)))))))))),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(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))),X5))) = join(meet(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)))))))))),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(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))),X5))),
inference(congruence,[status(thm)],[c302]) ).
cnf(c304,plain,
join(join(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)))))))))),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(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))),X6))),X5) = join(join(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)))))))))),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(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))),X6))),X5),
inference(congruence,[status(thm)],[c303]) ).
cnf(c305,plain,
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(join(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)))))))))),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(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))),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))))))),join(join(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)))))))))),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(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))),X6))),X5)),
inference(congruence,[status(thm)],[c304]) ).
cnf(c306,plain,
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= 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inference(congruence,[status(thm)],[c305]) ).
cnf(c307,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(c308,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)],[c307]) ).
cnf(c309,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)],[c308]) ).
cnf(c310,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)],[c309]) ).
cnf(c311,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)],[c310]) ).
cnf(c312,plain,
join(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))),X5) = join(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)))))))))),X5),
inference(congruence,[status(thm)],[c311]) ).
cnf(c313,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(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))),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(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)))))))))),X5)),
inference(congruence,[status(thm)],[c312]) ).
cnf(c314,plain,
join(meet(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)))))))))),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(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))),X5))) = join(meet(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)))))))))),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(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)))))))))),X5))),
inference(congruence,[status(thm)],[c313]) ).
cnf(c315,plain,
join(join(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)))))))))),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(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))),X6))),X5) = join(join(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)))))))))),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(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)))))))))),X6))),X5),
inference(congruence,[status(thm)],[c314]) ).
cnf(c316,plain,
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(join(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)))))))))),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(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))),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))))))),join(join(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)))))))))),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(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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inference(congruence,[status(thm)],[c315]) ).
cnf(c317,plain,
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inference(congruence,[status(thm)],[c316]) ).
cnf(c318,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(c319,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)],[c318]) ).
cnf(c320,plain,
join(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)))))))))),X5) = join(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)))))))))),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)],[c319]) ).
cnf(c321,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(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)))))))))),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(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)))))))))),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)],[c320]) ).
cnf(c322,plain,
join(meet(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)))))))))),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(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,joi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= join(meet(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)))))))))),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(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,joi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inference(congruence,[status(thm)],[c321]) ).
cnf(c323,plain,
join(join(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)))))))))),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(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)))))))))),X6))),X5) = join(join(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)))))))))),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(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)))))))))),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)],[c322]) ).
cnf(c324,plain,
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(join(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)))))))))),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(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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= 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(join(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)))))))))),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(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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inference(congruence,[status(thm)],[c323]) ).
cnf(c325,plain,
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inference(congruence,[status(thm)],[c324]) ).
cnf(c326,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(c327,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)],[c326]) ).
cnf(c328,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)],[c327]) ).
cnf(c329,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)],[c328]) ).
cnf(c330,plain,
meet(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(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(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)))))))))),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)],[c329]) ).
cnf(c331,plain,
join(meet(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(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(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)))))))))),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(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)))))))))),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(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,joi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inference(congruence,[status(thm)],[c330]) ).
cnf(c332,plain,
meet(join(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)))))))))),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(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))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= meet(join(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)))))))))),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(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)))))))))),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)],[c331]) ).
cnf(c333,plain,
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inference(congruence,[status(thm)],[c332]) ).
cnf(c334,plain,
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= 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(substitution,[status(thm)],[c125]) ).
cnf(c335,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(c336,plain,
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= X6,
inference(transitivity,[status(thm)],[c334,c335]) ).
cnf(c337,plain,
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= X6,
inference(transitivity,[status(thm)],[c333,c336]) ).
cnf(c338,plain,
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= X6,
inference(transitivity,[status(thm)],[c325,c337]) ).
cnf(c339,plain,
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= X6,
inference(transitivity,[status(thm)],[c317,c338]) ).
cnf(c340,plain,
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= X6,
inference(transitivity,[status(thm)],[c306,c339]) ).
cnf(c341,plain,
join(meet(join(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)))))))))),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(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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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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5))) = X6,
inference(transitivity,[status(thm)],[c296,c340]) ).
cnf(c342,plain,
join(meet(join(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)))))))))),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(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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= X6,
inference(transitivity,[status(thm)],[c286,c341]) ).
cnf(c343,plain,
join(meet(join(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)))))))))),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(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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= X6,
inference(transitivity,[status(thm)],[c279,c342]) ).
cnf(c344,plain,
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= X6,
inference(transitivity,[status(thm)],[c272,c343]) ).
cnf(c345,plain,
join(meet(join(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)))))))))),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(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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= X6,
inference(transitivity,[status(thm)],[c262,c344]) ).
cnf(c346,plain,
join(meet(join(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)))))))))),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(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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= X6,
inference(transitivity,[status(thm)],[c253,c345]) ).
cnf(c347,plain,
join(meet(join(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)))))))))),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(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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= X6,
inference(transitivity,[status(thm)],[c244,c346]) ).
cnf(c348,plain,
join(meet(join(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)))))))))),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(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)))))))))),X6))),X5),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))),X5))) = X6,
inference(transitivity,[status(thm)],[c240,c347]) ).
cnf(c349,plain,
join(meet(join(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)))))))))),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(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))),X6))),X5),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))),X5))) = X6,
inference(transitivity,[status(thm)],[c233,c348]) ).
cnf(c350,plain,
join(meet(join(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)))))))))),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(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))),X6))),X5),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))),X5))) = X6,
inference(transitivity,[status(thm)],[c223,c349]) ).
cnf(c351,plain,
join(meet(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),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))),X5))) = X6,
inference(transitivity,[status(thm)],[c214,c350]) ).
cnf(c352,plain,
join(meet(join(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)))))))))),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(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),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))),X5))) = X6,
inference(transitivity,[status(thm)],[c205,c351]) ).
cnf(c353,plain,
join(meet(join(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)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),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))),X5))) = X6,
inference(transitivity,[status(thm)],[c199,c352]) ).
cnf(c354,plain,
join(meet(join(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))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),X5),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))),X5))) = X6,
inference(transitivity,[status(thm)],[c193,c353]) ).
cnf(c355,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)],[c184,c354]) ).
cnf(c356,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)],[c355]) ).
cnf(c357,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)],[c356]) ).
cnf(c358,plain,
meet(X2,join(X3,X2)) = meet(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))),join(X3,X2)),
inference(congruence,[status(thm)],[c357]) ).
cnf(c359,plain,
join(meet(X3,X2),meet(X2,join(X3,X2))) = join(meet(X3,X2),meet(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))),join(X3,X2))),
inference(congruence,[status(thm)],[c358]) ).
cnf(c360,plain,
meet(join(meet(X4,X3),meet(X3,join(X4,X3))),X2) = meet(join(meet(X4,X3),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))),join(X4,X3))),X2),
inference(congruence,[status(thm)],[c359]) ).
cnf(c361,plain,
join(meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X4),meet(join(meet(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,X5))),X4),meet(join(meet(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))),
inference(congruence,[status(thm)],[c360]) ).
cnf(c362,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)],[c355]) ).
cnf(c363,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)],[c362]) ).
cnf(c364,plain,
join(X3,X2) = join(X3,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(congruence,[status(thm)],[c363]) ).
cnf(c365,plain,
meet(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))),join(X3,X2)) = meet(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))),join(X3,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(congruence,[status(thm)],[c364]) ).
cnf(c366,plain,
join(meet(X3,X2),meet(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))),join(X3,X2))) = join(meet(X3,X2),meet(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))),join(X3,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(congruence,[status(thm)],[c365]) ).
cnf(c367,plain,
meet(join(meet(X4,X3),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))),join(X4,X3))),X2) = meet(join(meet(X4,X3),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))),join(X4,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)],[c366]) ).
cnf(c368,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,X5))),X4),meet(join(meet(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))),
inference(congruence,[status(thm)],[c367]) ).
cnf(c369,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)],[c355]) ).
cnf(c370,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)],[c369]) ).
cnf(c371,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)],[c370]) ).
cnf(c372,plain,
join(meet(X4,X3),meet(X2,X4)) = join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),
inference(congruence,[status(thm)],[c371]) ).
cnf(c373,plain,
join(join(meet(X4,X3),meet(X2,X4)),X4) = join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4),
inference(congruence,[status(thm)],[c372]) ).
cnf(c374,plain,
meet(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)) = meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4)),
inference(congruence,[status(thm)],[c373]) ).
cnf(c375,plain,
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(meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))),
inference(congruence,[status(thm)],[c374]) ).
cnf(c376,plain,
meet(join(meet(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)),
inference(congruence,[status(thm)],[c375]) ).
cnf(c377,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))),
inference(congruence,[status(thm)],[c376]) ).
cnf(c378,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)],[c355]) ).
cnf(c379,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)],[c378]) ).
cnf(c380,plain,
meet(X2,X3) = meet(X2,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)))),
inference(congruence,[status(thm)],[c379]) ).
cnf(c381,plain,
join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)) = join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),
inference(congruence,[status(thm)],[c380]) ).
cnf(c382,plain,
join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4) = join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4),
inference(congruence,[status(thm)],[c381]) ).
cnf(c383,plain,
meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4)) = meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4)),
inference(congruence,[status(thm)],[c382]) ).
cnf(c384,plain,
join(meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))) = join(meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))),
inference(congruence,[status(thm)],[c383]) ).
cnf(c385,plain,
meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)),
inference(congruence,[status(thm)],[c384]) ).
cnf(c386,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))),
inference(congruence,[status(thm)],[c385]) ).
cnf(c387,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)],[c355]) ).
cnf(c388,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)],[c387]) ).
cnf(c389,plain,
join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4) = join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4)))),
inference(congruence,[status(thm)],[c388]) ).
cnf(c390,plain,
meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4)) = meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),
inference(congruence,[status(thm)],[c389]) ).
cnf(c391,plain,
join(meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4)),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))) = join(meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))),
inference(congruence,[status(thm)],[c390]) ).
cnf(c392,plain,
meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)),
inference(congruence,[status(thm)],[c391]) ).
cnf(c393,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))),
inference(congruence,[status(thm)],[c392]) ).
cnf(c394,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)],[c355]) ).
cnf(c395,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)],[c394]) ).
cnf(c396,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)],[c395]) ).
cnf(c397,plain,
join(meet(X4,X3),meet(X2,X4)) = join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),
inference(congruence,[status(thm)],[c396]) ).
cnf(c398,plain,
join(join(meet(X4,X3),meet(X2,X4)),X4) = join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4),
inference(congruence,[status(thm)],[c397]) ).
cnf(c399,plain,
join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)) = join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4)),
inference(congruence,[status(thm)],[c398]) ).
cnf(c400,plain,
meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4))) = meet(X4,join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4))),
inference(congruence,[status(thm)],[c399]) ).
cnf(c401,plain,
join(meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),meet(X4,join(X5,join(join(meet(X4,X3),meet(X2,X4)),X4)))) = join(meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),meet(X4,join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4)))),
inference(congruence,[status(thm)],[c400]) ).
cnf(c402,plain,
meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)),
inference(congruence,[status(thm)],[c401]) ).
cnf(c403,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))),
inference(congruence,[status(thm)],[c402]) ).
cnf(c404,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)],[c355]) ).
cnf(c405,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)],[c404]) ).
cnf(c406,plain,
meet(X2,X3) = meet(X2,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)))),
inference(congruence,[status(thm)],[c405]) ).
cnf(c407,plain,
join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)) = join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),
inference(congruence,[status(thm)],[c406]) ).
cnf(c408,plain,
join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4) = join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4),
inference(congruence,[status(thm)],[c407]) ).
cnf(c409,plain,
join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4)) = join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4)),
inference(congruence,[status(thm)],[c408]) ).
cnf(c410,plain,
meet(X4,join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4))) = meet(X4,join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4))),
inference(congruence,[status(thm)],[c409]) ).
cnf(c411,plain,
join(meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),meet(X4,join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,X4)),X4)))) = join(meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),meet(X4,join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4)))),
inference(congruence,[status(thm)],[c410]) ).
cnf(c412,plain,
meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)),
inference(congruence,[status(thm)],[c411]) ).
cnf(c413,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))),
inference(congruence,[status(thm)],[c412]) ).
cnf(c414,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)],[c355]) ).
cnf(c415,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)],[c414]) ).
cnf(c416,plain,
join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4) = join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4)))),
inference(congruence,[status(thm)],[c415]) ).
cnf(c417,plain,
join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4)) = join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),
inference(congruence,[status(thm)],[c416]) ).
cnf(c418,plain,
meet(X4,join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4))) = meet(X4,join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4)))))),
inference(congruence,[status(thm)],[c417]) ).
cnf(c419,plain,
join(meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),meet(X4,join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),X4)))) = join(meet(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),meet(X4,join(X5,join(join(meet(join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))),X3),meet(X2,join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))),join(meet(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4),meet(X4,join(join(meet(join(meet(X,X4),meet(X4,join(X,X4))),X4),meet(X4,join(join(meet(X,X4),meet(X4,join(X,X4))),X4))),X4))))))),
inference(congruence,[status(thm)],[c418]) ).
cnf(c420,plain,
meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)),
inference(congruence,[status(thm)],[c419]) ).
cnf(c421,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))),
inference(congruence,[status(thm)],[c420]) ).
cnf(c422,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)],[c355]) ).
cnf(c423,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)],[c422]) ).
cnf(c424,plain,
meet(X3,X2) = meet(X3,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(congruence,[status(thm)],[c423]) ).
cnf(c425,plain,
join(meet(X3,X2),meet(X2,join(X3,X2))) = join(meet(X3,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)))),meet(X2,join(X3,X2))),
inference(congruence,[status(thm)],[c424]) ).
cnf(c426,plain,
join(join(meet(X4,X3),meet(X3,join(X4,X3))),X2) = join(join(meet(X4,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)))),meet(X3,join(X4,X3))),X2),
inference(congruence,[status(thm)],[c425]) ).
cnf(c427,plain,
meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,join(X6,X5))),X4)),
inference(congruence,[status(thm)],[c426]) ).
cnf(c428,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,join(X6,X5))),X4))),
inference(congruence,[status(thm)],[c427]) ).
cnf(c429,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)],[c355]) ).
cnf(c430,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)],[c429]) ).
cnf(c431,plain,
meet(X2,join(X3,X2)) = meet(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))),join(X3,X2)),
inference(congruence,[status(thm)],[c430]) ).
cnf(c432,plain,
join(meet(X3,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)))),meet(X2,join(X3,X2))) = join(meet(X3,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)))),meet(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))),join(X3,X2))),
inference(congruence,[status(thm)],[c431]) ).
cnf(c433,plain,
join(join(meet(X4,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)))),meet(X3,join(X4,X3))),X2) = join(join(meet(X4,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)))),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))),join(X4,X3))),X2),
inference(congruence,[status(thm)],[c432]) ).
cnf(c434,plain,
meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,X5))),X4)),
inference(congruence,[status(thm)],[c433]) ).
cnf(c435,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,join(X6,X5))),X4))) = join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,X5))),X4))),
inference(congruence,[status(thm)],[c434]) ).
cnf(c436,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)],[c355]) ).
cnf(c437,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)],[c436]) ).
cnf(c438,plain,
join(X3,X2) = join(X3,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(congruence,[status(thm)],[c437]) ).
cnf(c439,plain,
meet(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))),join(X3,X2)) = meet(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))),join(X3,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(congruence,[status(thm)],[c438]) ).
cnf(c440,plain,
join(meet(X3,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)))),meet(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))),join(X3,X2))) = join(meet(X3,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)))),meet(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))),join(X3,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(congruence,[status(thm)],[c439]) ).
cnf(c441,plain,
join(join(meet(X4,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)))),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))),join(X4,X3))),X2) = join(join(meet(X4,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)))),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))),join(X4,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)],[c440]) ).
cnf(c442,plain,
meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4)),
inference(congruence,[status(thm)],[c441]) ).
cnf(c443,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,X5))),X4))) = join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4))),
inference(congruence,[status(thm)],[c442]) ).
cnf(c444,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)],[c355]) ).
cnf(c445,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)],[c444]) ).
cnf(c446,plain,
meet(X3,X2) = meet(X3,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(congruence,[status(thm)],[c445]) ).
cnf(c447,plain,
join(meet(X3,X2),meet(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))),join(X3,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)))))) = join(meet(X3,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)))),meet(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))),join(X3,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(congruence,[status(thm)],[c446]) ).
cnf(c448,plain,
meet(join(meet(X4,X3),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))),join(X4,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(join(meet(X4,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)))),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))),join(X4,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)],[c447]) ).
cnf(c449,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4))) = join(meet(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4))),
inference(congruence,[status(thm)],[c448]) ).
cnf(c450,plain,
join(meet(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4))) = join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c451,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)],[c355]) ).
cnf(c452,plain,
join(meet(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4))) = X5,
inference(transitivity,[status(thm)],[c450,c451]) ).
cnf(c453,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4))) = X5,
inference(transitivity,[status(thm)],[c449,c452]) ).
cnf(c454,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,X5))),X4))) = X5,
inference(transitivity,[status(thm)],[c443,c453]) ).
cnf(c455,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,join(X6,X5))),X4))) = X5,
inference(transitivity,[status(thm)],[c435,c454]) ).
cnf(c456,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = X5,
inference(transitivity,[status(thm)],[c428,c455]) ).
cnf(c457,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = X5,
inference(transitivity,[status(thm)],[c421,c456]) ).
cnf(c458,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = X5,
inference(transitivity,[status(thm)],[c413,c457]) ).
cnf(c459,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = X5,
inference(transitivity,[status(thm)],[c403,c458]) ).
cnf(c460,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))))),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = X5,
inference(transitivity,[status(thm)],[c393,c459]) ).
cnf(c461,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),X3),meet(X2,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = X5,
inference(transitivity,[status(thm)],[c386,c460]) ).
cnf(c462,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))))),X4),meet(join(meet(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = X5,
inference(transitivity,[status(thm)],[c377,c461]) ).
cnf(c463,plain,
join(meet(join(meet(X6,X5),meet(join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5))),join(X6,X5))),X4),meet(join(meet(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)),meet(X5,join(X6,join(join(meet(X5,X3),meet(X2,X5)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4))) = X5,
inference(transitivity,[status(thm)],[c368,c462]) ).
cnf(c464,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)],[c361,c463]) ).
cnf(c465,plain,
join(meet(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4))),X3),meet(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(join(meet(X4,X2),meet(X,X4)),X4)),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(join(meet(X4,X2),meet(X,X4)),X4)))),join(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4))),X3))) = X4,
inference(substitution,[status(thm)],[c464]) ).
cnf(c466,plain,
join(meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X3),meet(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(join(meet(X4,X2),meet(X,X4)),X4)),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),join(join(meet(X4,X2),meet(X,X4)),X4)))),join(join(meet(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4),meet(X4,join(join(meet(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),join(X4,join(meet(X5,X4),meet(X4,join(X5,X4)))))),X4))),X3))) = X4,
inference(transitivity,[status(thm)],[c176,c465]) ).
cnf(c467,plain,
join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(join(meet(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))))),X2),meet(X2,join(join(meet(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(X2,join(meet(X3,X2),meet(X2,join(X3,X2)))))),X2))),X))) = X2,
inference(transitivity,[status(thm)],[c172,c466]) ).
cnf(c468,plain,
join(meet(join(meet(X3,X2),meet(X2,join(X3,X2))),X),meet(join(meet(X3,X2),meet(X2,join(X3,X2))),join(join(meet(X3,X2),meet(X2,join(X3,X2))),X))) = X2,
inference(transitivity,[status(thm)],[c168,c467]) ).
cnf(c469,plain,
join(meet(X2,X),meet(X,join(X2,X))) = X,
inference(transitivity,[status(thm)],[c138,c468]) ).
cnf(c470,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c471,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c470]) ).
cnf(c472,plain,
meet(X2,X) = meet(join(meet(X,X2),meet(X2,join(X,X2))),X),
inference(congruence,[status(thm)],[c471]) ).
cnf(c473,plain,
meet(meet(X2,X),meet(X,X2)) = meet(meet(join(meet(X,X2),meet(X2,join(X,X2))),X),meet(X,X2)),
inference(congruence,[status(thm)],[c472]) ).
cnf(c474,plain,
X2 = join(meet(X2,X),meet(X2,join(X2,X))),
inference(symmetry,[status(thm)],[c157]) ).
cnf(c475,plain,
meet(meet(X2,X),X2) = meet(meet(X2,X),join(meet(X2,X),meet(X2,join(X2,X)))),
inference(congruence,[status(thm)],[c474]) ).
cnf(c476,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)],[c469]) ).
cnf(c477,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)],[c476]) ).
cnf(c478,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)],[c464]) ).
cnf(c479,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)],[c478]) ).
cnf(c480,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)],[c464]) ).
cnf(c481,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)],[c480]) ).
cnf(c482,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)],[c481]) ).
cnf(c483,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)],[c464]) ).
cnf(c484,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)],[c483]) ).
cnf(c485,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)],[c484]) ).
cnf(c486,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)],[c464]) ).
cnf(c487,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)],[c486]) ).
cnf(c488,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)],[c487]) ).
cnf(c489,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)],[c488]) ).
cnf(c490,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)],[c489,c157]) ).
cnf(c491,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)],[c485,c490]) ).
cnf(c492,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)],[c482,c491]) ).
cnf(c493,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)],[c479,c492]) ).
cnf(c494,plain,
join(meet(X6,join(join(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)))),X2),meet(X,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(meet(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)),meet(X3,join(X6,meet(meet(join(X6,X5),join(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(X6,join(join(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)))),X2),meet(X,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(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(meet(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)),meet(X3,join(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)))),
inference(substitution,[status(thm)],[c493]) ).
cnf(c495,plain,
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(meet(X6,join(join(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)))),X2),meet(X,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(meet(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)),meet(X3,join(X6,meet(meet(join(X6,X5),join(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(X6,join(join(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)))),X2),meet(X,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(meet(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)),meet(X3,join(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)))))))),
inference(symmetry,[status(thm)],[c494]) ).
cnf(c496,plain,
join(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(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(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(join(meet(X4,X3),meet(X2,X4)),X4)))) = 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)))),
inference(substitution,[status(thm)],[c157]) ).
cnf(c497,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)))) = join(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(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(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(join(meet(X4,X3),meet(X2,X4)),X4)))),
inference(symmetry,[status(thm)],[c496]) ).
cnf(c498,plain,
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(X5,X4)) = meet(join(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(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(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(join(meet(X5,X3),meet(X2,X5)),X5)))),join(X5,X4)),
inference(congruence,[status(thm)],[c497]) ).
cnf(c499,plain,
join(meet(X5,X4),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(X5,X4))) = join(meet(X5,X4),meet(join(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(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(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(join(meet(X5,X3),meet(X2,X5)),X5)))),join(X5,X4))),
inference(congruence,[status(thm)],[c498]) ).
cnf(c500,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c501,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c500]) ).
cnf(c502,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c501]) ).
cnf(c503,plain,
join(meet(X6,X5),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(X6,X5))) = join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),X5),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(X6,X5))),
inference(congruence,[status(thm)],[c502]) ).
cnf(c504,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c505,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c504]) ).
cnf(c506,plain,
join(X3,X2) = join(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c505]) ).
cnf(c507,plain,
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(X6,X5)) = 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))),X5)),
inference(congruence,[status(thm)],[c506]) ).
cnf(c508,plain,
join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),X5),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(X6,X5))) = join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),X5),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))),X5))),
inference(congruence,[status(thm)],[c507]) ).
cnf(c509,plain,
join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),X5),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))),X5))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c510,plain,
join(meet(join(meet(X4,X6),meet(X6,join(X4,X6))),X5),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(X6,X5))) = X6,
inference(transitivity,[status(thm)],[c508,c509]) ).
cnf(c511,plain,
join(meet(X6,X5),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(X6,X5))) = X6,
inference(transitivity,[status(thm)],[c503,c510]) ).
cnf(c512,plain,
join(meet(X5,X4),meet(join(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(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(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(join(meet(X5,X3),meet(X2,X5)),X5)))),join(X5,X4))) = X5,
inference(substitution,[status(thm)],[c511]) ).
cnf(c513,plain,
join(meet(X5,X4),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(X5,X4))) = X5,
inference(transitivity,[status(thm)],[c499,c512]) ).
cnf(c514,plain,
join(meet(X6,join(join(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)))),X2),meet(X,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(meet(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)),meet(X3,join(X6,meet(meet(join(X6,X5),join(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(X6,join(join(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)))),X2),meet(X,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(meet(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)),meet(X3,join(X6,meet(meet(join(X6,X5),join(X4,X6)),X6)))))))) = X6,
inference(substitution,[status(thm)],[c513]) ).
cnf(c515,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)],[c495,c514]) ).
cnf(c516,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)],[c515]) ).
cnf(c517,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = X3,
inference(transitivity,[status(thm)],[c477,c516]) ).
cnf(c518,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c517]) ).
cnf(c519,plain,
meet(X3,X3) = meet(meet(meet(join(X3,X2),join(X,X3)),X3),X3),
inference(congruence,[status(thm)],[c518]) ).
cnf(c520,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c517]) ).
cnf(c521,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)],[c520]) ).
cnf(c522,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c517]) ).
cnf(c523,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)],[c522]) ).
cnf(c524,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)],[c523]) ).
cnf(c525,plain,
X2 = join(meet(X2,X),meet(X2,join(X2,X))),
inference(symmetry,[status(thm)],[c157]) ).
cnf(c526,plain,
meet(X2,meet(X2,X)) = meet(join(meet(X2,X),meet(X2,join(X2,X))),meet(X2,X)),
inference(congruence,[status(thm)],[c525]) ).
cnf(c527,plain,
meet(meet(X2,meet(X2,X)),meet(X2,X)) = meet(meet(join(meet(X2,X),meet(X2,join(X2,X))),meet(X2,X)),meet(X2,X)),
inference(congruence,[status(thm)],[c526]) ).
cnf(c528,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c517]) ).
cnf(c529,plain,
join(X3,X3) = join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c528]) ).
cnf(c530,plain,
meet(X3,join(X4,X4)) = meet(X3,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),
inference(congruence,[status(thm)],[c529]) ).
cnf(c531,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)],[c530]) ).
cnf(c532,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c517]) ).
cnf(c533,plain,
meet(X3,X3) = meet(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c532]) ).
cnf(c534,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)],[c533]) ).
cnf(c535,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)],[c515]) ).
cnf(c536,plain,
join(meet(X4,X4),meet(X3,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))) = X4,
inference(transitivity,[status(thm)],[c534,c535]) ).
cnf(c537,plain,
join(meet(X2,X2),meet(X,join(X2,X2))) = X2,
inference(transitivity,[status(thm)],[c531,c536]) ).
cnf(c538,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)],[c537]) ).
cnf(c539,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)],[c538]) ).
cnf(c540,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)],[c493]) ).
cnf(c541,plain,
join(join(meet(X3,X2),meet(X,X3)),X3) = X3,
inference(transitivity,[status(thm)],[c539,c540]) ).
cnf(c542,plain,
X3 = join(join(meet(X3,X2),meet(X,X3)),X3),
inference(symmetry,[status(thm)],[c541]) ).
cnf(c543,plain,
meet(join(X4,X3),X4) = meet(join(X4,X3),join(join(meet(X4,X2),meet(X,X4)),X4)),
inference(congruence,[status(thm)],[c542]) ).
cnf(c544,plain,
meet(meet(join(X4,X3),X4),X4) = meet(meet(join(X4,X3),join(join(meet(X4,X2),meet(X,X4)),X4)),X4),
inference(congruence,[status(thm)],[c543]) ).
cnf(c545,plain,
meet(meet(join(X4,X3),join(join(meet(X4,X2),meet(X,X4)),X4)),X4) = X4,
inference(substitution,[status(thm)],[c517]) ).
cnf(c546,plain,
meet(meet(join(X2,X),X2),X2) = X2,
inference(transitivity,[status(thm)],[c544,c545]) ).
cnf(c547,plain,
meet(meet(join(meet(X2,X),meet(X2,join(X2,X))),meet(X2,X)),meet(X2,X)) = meet(X2,X),
inference(substitution,[status(thm)],[c546]) ).
cnf(c548,plain,
meet(meet(X2,meet(X2,X)),meet(X2,X)) = meet(X2,X),
inference(transitivity,[status(thm)],[c527,c547]) ).
cnf(c549,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)],[c548]) ).
cnf(c550,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)],[c549,c517]) ).
cnf(c551,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)],[c524,c550]) ).
cnf(c552,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),X3),X3) = X3,
inference(transitivity,[status(thm)],[c521,c551]) ).
cnf(c553,plain,
meet(X,X) = X,
inference(transitivity,[status(thm)],[c519,c552]) ).
cnf(c554,plain,
X = meet(X,X),
inference(symmetry,[status(thm)],[c553]) ).
cnf(c555,plain,
join(X,X) = join(X,meet(X,X)),
inference(congruence,[status(thm)],[c554]) ).
cnf(c556,plain,
meet(join(X,X),join(X,X)) = join(X,X),
inference(substitution,[status(thm)],[c553]) ).
cnf(c557,plain,
join(X,X) = meet(join(X,X),join(X,X)),
inference(symmetry,[status(thm)],[c556]) ).
cnf(c558,plain,
meet(join(X,X),X) = meet(meet(join(X,X),join(X,X)),X),
inference(congruence,[status(thm)],[c557]) ).
cnf(c559,plain,
meet(meet(join(X,X),join(X,X)),X) = X,
inference(substitution,[status(thm)],[c517]) ).
cnf(c560,plain,
meet(join(X,X),X) = X,
inference(transitivity,[status(thm)],[c558,c559]) ).
cnf(c561,plain,
X = meet(join(X,X),X),
inference(symmetry,[status(thm)],[c560]) ).
cnf(c562,plain,
join(X,meet(X,X)) = join(meet(join(X,X),X),meet(X,X)),
inference(congruence,[status(thm)],[c561]) ).
cnf(c563,plain,
X = meet(X,X),
inference(symmetry,[status(thm)],[c553]) ).
cnf(c564,plain,
join(X,X) = join(meet(X,X),X),
inference(congruence,[status(thm)],[c563]) ).
cnf(c565,plain,
join(join(X,X),X) = join(join(meet(X,X),X),X),
inference(congruence,[status(thm)],[c564]) ).
cnf(c566,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c517]) ).
cnf(c567,plain,
join(meet(X4,X3),X4) = join(meet(X4,X3),meet(meet(join(X4,X2),join(X,X4)),X4)),
inference(congruence,[status(thm)],[c566]) ).
cnf(c568,plain,
join(join(meet(X4,X3),X4),X4) = join(join(meet(X4,X3),meet(meet(join(X4,X2),join(X,X4)),X4)),X4),
inference(congruence,[status(thm)],[c567]) ).
cnf(c569,plain,
join(join(meet(X4,X3),meet(meet(join(X4,X2),join(X,X4)),X4)),X4) = X4,
inference(substitution,[status(thm)],[c541]) ).
cnf(c570,plain,
join(join(meet(X2,X),X2),X2) = X2,
inference(transitivity,[status(thm)],[c568,c569]) ).
cnf(c571,plain,
join(join(meet(X,X),X),X) = X,
inference(substitution,[status(thm)],[c570]) ).
cnf(c572,plain,
join(join(X,X),X) = X,
inference(transitivity,[status(thm)],[c565,c571]) ).
cnf(c573,plain,
X = join(join(X,X),X),
inference(symmetry,[status(thm)],[c572]) ).
cnf(c574,plain,
meet(X,X) = meet(X,join(join(X,X),X)),
inference(congruence,[status(thm)],[c573]) ).
cnf(c575,plain,
join(meet(join(X,X),X),meet(X,X)) = join(meet(join(X,X),X),meet(X,join(join(X,X),X))),
inference(congruence,[status(thm)],[c574]) ).
cnf(c576,plain,
join(meet(join(X,X),X),meet(X,join(join(X,X),X))) = X,
inference(substitution,[status(thm)],[c469]) ).
cnf(c577,plain,
join(meet(join(X,X),X),meet(X,X)) = X,
inference(transitivity,[status(thm)],[c575,c576]) ).
cnf(c578,plain,
join(X,meet(X,X)) = X,
inference(transitivity,[status(thm)],[c562,c577]) ).
cnf(c579,plain,
join(X,X) = X,
inference(transitivity,[status(thm)],[c555,c578]) ).
cnf(c580,plain,
join(meet(X2,join(X2,X)),meet(X2,join(X2,X))) = meet(X2,join(X2,X)),
inference(substitution,[status(thm)],[c579]) ).
cnf(c581,plain,
meet(X2,join(X2,X)) = join(meet(X2,join(X2,X)),meet(X2,join(X2,X))),
inference(symmetry,[status(thm)],[c580]) ).
cnf(c582,plain,
join(meet(meet(X2,join(X,X2)),X2),meet(meet(X2,join(X,X2)),join(meet(X2,join(X,X2)),X2))) = meet(X2,join(X,X2)),
inference(substitution,[status(thm)],[c157]) ).
cnf(c583,plain,
meet(X2,join(X,X2)) = join(meet(meet(X2,join(X,X2)),X2),meet(meet(X2,join(X,X2)),join(meet(X2,join(X,X2)),X2))),
inference(symmetry,[status(thm)],[c582]) ).
cnf(c584,plain,
X = meet(X,X),
inference(symmetry,[status(thm)],[c553]) ).
cnf(c585,plain,
join(X2,meet(X,X2)) = join(meet(X2,X2),meet(X,X2)),
inference(congruence,[status(thm)],[c584]) ).
cnf(c586,plain,
X = join(X,X),
inference(symmetry,[status(thm)],[c579]) ).
cnf(c587,plain,
meet(X,X2) = meet(X,join(X2,X2)),
inference(congruence,[status(thm)],[c586]) ).
cnf(c588,plain,
join(meet(X2,X2),meet(X,X2)) = join(meet(X2,X2),meet(X,join(X2,X2))),
inference(congruence,[status(thm)],[c587]) ).
cnf(c589,plain,
join(meet(X2,X2),meet(X,X2)) = X2,
inference(transitivity,[status(thm)],[c588,c537]) ).
cnf(c590,plain,
join(X2,meet(X,X2)) = X2,
inference(transitivity,[status(thm)],[c585,c589]) ).
cnf(c591,plain,
join(join(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))) = join(meet(X2,join(X,X2)),X2),
inference(substitution,[status(thm)],[c590]) ).
cnf(c592,plain,
join(meet(X2,join(X,X2)),X2) = join(join(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),
inference(symmetry,[status(thm)],[c591]) ).
cnf(c593,plain,
join(meet(meet(X2,X),X),meet(meet(X2,X),X)) = meet(meet(X2,X),X),
inference(substitution,[status(thm)],[c579]) ).
cnf(c594,plain,
meet(meet(X2,X),X) = join(meet(meet(X2,X),X),meet(meet(X2,X),X)),
inference(symmetry,[status(thm)],[c593]) ).
cnf(c595,plain,
join(join(meet(meet(X2,meet(X,X2)),meet(X,X2)),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))) = meet(X2,meet(X,X2)),
inference(substitution,[status(thm)],[c570]) ).
cnf(c596,plain,
meet(X2,meet(X,X2)) = join(join(meet(meet(X2,meet(X,X2)),meet(X,X2)),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))),
inference(symmetry,[status(thm)],[c595]) ).
cnf(c597,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c598,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c597]) ).
cnf(c599,plain,
meet(X2,meet(X,X2)) = meet(join(meet(X,X2),meet(X2,join(X,X2))),meet(X,X2)),
inference(congruence,[status(thm)],[c598]) ).
cnf(c600,plain,
meet(meet(X2,meet(X,X2)),meet(X,X2)) = meet(meet(join(meet(X,X2),meet(X2,join(X,X2))),meet(X,X2)),meet(X,X2)),
inference(congruence,[status(thm)],[c599]) ).
cnf(c601,plain,
meet(meet(join(meet(X,X2),meet(X2,join(X,X2))),meet(X,X2)),meet(X,X2)) = meet(X,X2),
inference(substitution,[status(thm)],[c546]) ).
cnf(c602,plain,
meet(meet(X2,meet(X,X2)),meet(X,X2)) = meet(X,X2),
inference(transitivity,[status(thm)],[c600,c601]) ).
cnf(c603,plain,
join(meet(meet(X2,meet(X,X2)),meet(X,X2)),meet(X2,meet(X,X2))) = join(meet(X,X2),meet(X2,meet(X,X2))),
inference(congruence,[status(thm)],[c602]) ).
cnf(c604,plain,
join(join(meet(meet(X2,meet(X,X2)),meet(X,X2)),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))) = join(join(meet(X,X2),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))),
inference(congruence,[status(thm)],[c603]) ).
cnf(c605,plain,
join(meet(X,X2),meet(X2,meet(X,X2))) = meet(X,X2),
inference(substitution,[status(thm)],[c590]) ).
cnf(c606,plain,
join(join(meet(X,X2),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))) = join(meet(X,X2),meet(X2,meet(X,X2))),
inference(congruence,[status(thm)],[c605]) ).
cnf(c607,plain,
join(meet(X,X2),meet(X2,meet(X,X2))) = meet(X,X2),
inference(substitution,[status(thm)],[c590]) ).
cnf(c608,plain,
join(join(meet(X,X2),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))) = meet(X,X2),
inference(transitivity,[status(thm)],[c606,c607]) ).
cnf(c609,plain,
join(join(meet(meet(X2,meet(X,X2)),meet(X,X2)),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))) = meet(X,X2),
inference(transitivity,[status(thm)],[c604,c608]) ).
cnf(c610,plain,
meet(X2,meet(X,X2)) = meet(X,X2),
inference(transitivity,[status(thm)],[c596,c609]) ).
cnf(c611,plain,
meet(X,meet(X2,X)) = meet(X2,X),
inference(substitution,[status(thm)],[c610]) ).
cnf(c612,plain,
meet(X2,X) = meet(X,meet(X2,X)),
inference(symmetry,[status(thm)],[c611]) ).
cnf(c613,plain,
meet(meet(X2,X),X) = meet(meet(X,meet(X2,X)),X),
inference(congruence,[status(thm)],[c612]) ).
cnf(c614,plain,
join(meet(meet(X2,X),X),meet(meet(X2,X),X)) = join(meet(meet(X2,X),X),meet(meet(X,meet(X2,X)),X)),
inference(congruence,[status(thm)],[c613]) ).
cnf(c615,plain,
X = meet(X,X),
inference(symmetry,[status(thm)],[c553]) ).
cnf(c616,plain,
meet(meet(X2,X),X) = meet(meet(X2,X),meet(X,X)),
inference(congruence,[status(thm)],[c615]) ).
cnf(c617,plain,
join(meet(meet(X2,X),X),meet(meet(X,meet(X2,X)),X)) = join(meet(meet(X2,X),meet(X,X)),meet(meet(X,meet(X2,X)),X)),
inference(congruence,[status(thm)],[c616]) ).
cnf(c618,plain,
join(X,meet(X2,X)) = X,
inference(substitution,[status(thm)],[c590]) ).
cnf(c619,plain,
X = join(X,meet(X2,X)),
inference(symmetry,[status(thm)],[c618]) ).
cnf(c620,plain,
meet(X,X) = meet(X,join(X,meet(X2,X))),
inference(congruence,[status(thm)],[c619]) ).
cnf(c621,plain,
meet(meet(X2,X),meet(X,X)) = meet(meet(X2,X),meet(X,join(X,meet(X2,X)))),
inference(congruence,[status(thm)],[c620]) ).
cnf(c622,plain,
join(meet(meet(X2,X),meet(X,X)),meet(meet(X,meet(X2,X)),X)) = join(meet(meet(X2,X),meet(X,join(X,meet(X2,X)))),meet(meet(X,meet(X2,X)),X)),
inference(congruence,[status(thm)],[c621]) ).
cnf(c623,plain,
meet(X,meet(X2,X)) = meet(X2,X),
inference(substitution,[status(thm)],[c610]) ).
cnf(c624,plain,
meet(X2,X) = meet(X,meet(X2,X)),
inference(symmetry,[status(thm)],[c623]) ).
cnf(c625,plain,
meet(meet(X2,X),meet(X,join(X,meet(X2,X)))) = meet(meet(X,meet(X2,X)),meet(X,join(X,meet(X2,X)))),
inference(congruence,[status(thm)],[c624]) ).
cnf(c626,plain,
join(meet(meet(X2,X),meet(X,join(X,meet(X2,X)))),meet(meet(X,meet(X2,X)),X)) = join(meet(meet(X,meet(X2,X)),meet(X,join(X,meet(X2,X)))),meet(meet(X,meet(X2,X)),X)),
inference(congruence,[status(thm)],[c625]) ).
cnf(c627,plain,
X2 = join(meet(X2,X),meet(X2,join(X2,X))),
inference(symmetry,[status(thm)],[c157]) ).
cnf(c628,plain,
meet(meet(X2,X),X2) = meet(meet(X2,X),join(meet(X2,X),meet(X2,join(X2,X)))),
inference(congruence,[status(thm)],[c627]) ).
cnf(c629,plain,
join(meet(meet(X2,X),meet(X2,join(X2,X))),meet(meet(X2,X),X2)) = join(meet(meet(X2,X),meet(X2,join(X2,X))),meet(meet(X2,X),join(meet(X2,X),meet(X2,join(X2,X))))),
inference(congruence,[status(thm)],[c628]) ).
cnf(c630,plain,
join(meet(meet(X2,X),meet(X2,join(X2,X))),meet(meet(X2,X),join(meet(X2,X),meet(X2,join(X2,X))))) = meet(X2,X),
inference(substitution,[status(thm)],[c157]) ).
cnf(c631,plain,
join(meet(meet(X2,X),meet(X2,join(X2,X))),meet(meet(X2,X),X2)) = meet(X2,X),
inference(transitivity,[status(thm)],[c629,c630]) ).
cnf(c632,plain,
join(meet(meet(X,meet(X2,X)),meet(X,join(X,meet(X2,X)))),meet(meet(X,meet(X2,X)),X)) = meet(X,meet(X2,X)),
inference(substitution,[status(thm)],[c631]) ).
cnf(c633,plain,
meet(X,meet(X2,X)) = meet(X2,X),
inference(substitution,[status(thm)],[c610]) ).
cnf(c634,plain,
join(meet(meet(X,meet(X2,X)),meet(X,join(X,meet(X2,X)))),meet(meet(X,meet(X2,X)),X)) = meet(X2,X),
inference(transitivity,[status(thm)],[c632,c633]) ).
cnf(c635,plain,
join(meet(meet(X2,X),meet(X,join(X,meet(X2,X)))),meet(meet(X,meet(X2,X)),X)) = meet(X2,X),
inference(transitivity,[status(thm)],[c626,c634]) ).
cnf(c636,plain,
join(meet(meet(X2,X),meet(X,X)),meet(meet(X,meet(X2,X)),X)) = meet(X2,X),
inference(transitivity,[status(thm)],[c622,c635]) ).
cnf(c637,plain,
join(meet(meet(X2,X),X),meet(meet(X,meet(X2,X)),X)) = meet(X2,X),
inference(transitivity,[status(thm)],[c617,c636]) ).
cnf(c638,plain,
join(meet(meet(X2,X),X),meet(meet(X2,X),X)) = meet(X2,X),
inference(transitivity,[status(thm)],[c614,c637]) ).
cnf(c639,plain,
meet(meet(X2,X),X) = meet(X2,X),
inference(transitivity,[status(thm)],[c594,c638]) ).
cnf(c640,plain,
meet(meet(X2,meet(X2,X)),meet(X2,X)) = meet(X2,meet(X2,X)),
inference(substitution,[status(thm)],[c639]) ).
cnf(c641,plain,
meet(X2,meet(X2,X)) = meet(meet(X2,meet(X2,X)),meet(X2,X)),
inference(symmetry,[status(thm)],[c640]) ).
cnf(c642,plain,
meet(X2,meet(X2,X)) = meet(X2,X),
inference(transitivity,[status(thm)],[c641,c548]) ).
cnf(c643,plain,
meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))) = meet(X2,join(meet(X2,join(X,X2)),X2)),
inference(substitution,[status(thm)],[c642]) ).
cnf(c644,plain,
meet(X2,join(meet(X2,join(X,X2)),X2)) = meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),
inference(symmetry,[status(thm)],[c643]) ).
cnf(c645,plain,
X = meet(X,X),
inference(symmetry,[status(thm)],[c553]) ).
cnf(c646,plain,
meet(meet(X2,join(X,X2)),X2) = meet(meet(X2,join(X,X2)),meet(X2,X2)),
inference(congruence,[status(thm)],[c645]) ).
cnf(c647,plain,
meet(meet(join(X2,X),X2),X2) = meet(join(X2,X),X2),
inference(substitution,[status(thm)],[c639]) ).
cnf(c648,plain,
meet(join(X2,X),X2) = meet(meet(join(X2,X),X2),X2),
inference(symmetry,[status(thm)],[c647]) ).
cnf(c649,plain,
meet(join(X2,X),X2) = X2,
inference(transitivity,[status(thm)],[c648,c546]) ).
cnf(c650,plain,
X2 = meet(join(X2,X),X2),
inference(symmetry,[status(thm)],[c649]) ).
cnf(c651,plain,
meet(X3,join(X2,X3)) = meet(meet(join(X3,X),X3),join(X2,X3)),
inference(congruence,[status(thm)],[c650]) ).
cnf(c652,plain,
meet(meet(X3,join(X2,X3)),meet(X3,X3)) = meet(meet(meet(join(X3,X),X3),join(X2,X3)),meet(X3,X3)),
inference(congruence,[status(thm)],[c651]) ).
cnf(c653,plain,
X2 = meet(join(X2,X),X2),
inference(symmetry,[status(thm)],[c649]) ).
cnf(c654,plain,
meet(X2,X2) = meet(meet(join(X2,X),X2),X2),
inference(congruence,[status(thm)],[c653]) ).
cnf(c655,plain,
meet(meet(meet(join(X3,X),X3),join(X2,X3)),meet(X3,X3)) = meet(meet(meet(join(X3,X),X3),join(X2,X3)),meet(meet(join(X3,X),X3),X3)),
inference(congruence,[status(thm)],[c654]) ).
cnf(c656,plain,
X2 = meet(meet(join(X2,X),X2),X2),
inference(symmetry,[status(thm)],[c546]) ).
cnf(c657,plain,
join(X2,X3) = join(X2,meet(meet(join(X3,X),X3),X3)),
inference(congruence,[status(thm)],[c656]) ).
cnf(c658,plain,
meet(meet(join(X3,X),X3),join(X2,X3)) = meet(meet(join(X3,X),X3),join(X2,meet(meet(join(X3,X),X3),X3))),
inference(congruence,[status(thm)],[c657]) ).
cnf(c659,plain,
meet(meet(meet(join(X3,X),X3),join(X2,X3)),meet(meet(join(X3,X),X3),X3)) = meet(meet(meet(join(X3,X),X3),join(X2,meet(meet(join(X3,X),X3),X3))),meet(meet(join(X3,X),X3),X3)),
inference(congruence,[status(thm)],[c658]) ).
cnf(c660,plain,
X2 = join(meet(X2,X),meet(X2,join(X2,X))),
inference(symmetry,[status(thm)],[c157]) ).
cnf(c661,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)],[c660]) ).
cnf(c662,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)],[c661]) ).
cnf(c663,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)],[c517]) ).
cnf(c664,plain,
meet(meet(X3,join(X2,meet(X3,X))),meet(X3,X)) = meet(X3,X),
inference(transitivity,[status(thm)],[c662,c663]) ).
cnf(c665,plain,
meet(meet(meet(join(X3,X),X3),join(X2,meet(meet(join(X3,X),X3),X3))),meet(meet(join(X3,X),X3),X3)) = meet(meet(join(X3,X),X3),X3),
inference(substitution,[status(thm)],[c664]) ).
cnf(c666,plain,
meet(meet(meet(join(X3,X),X3),join(X2,meet(meet(join(X3,X),X3),X3))),meet(meet(join(X3,X),X3),X3)) = X3,
inference(transitivity,[status(thm)],[c665,c546]) ).
cnf(c667,plain,
meet(meet(meet(join(X3,X),X3),join(X2,X3)),meet(meet(join(X3,X),X3),X3)) = X3,
inference(transitivity,[status(thm)],[c659,c666]) ).
cnf(c668,plain,
meet(meet(meet(join(X3,X),X3),join(X2,X3)),meet(X3,X3)) = X3,
inference(transitivity,[status(thm)],[c655,c667]) ).
cnf(c669,plain,
meet(meet(X2,join(X,X2)),meet(X2,X2)) = X2,
inference(transitivity,[status(thm)],[c652,c668]) ).
cnf(c670,plain,
meet(meet(X2,join(X,X2)),X2) = X2,
inference(transitivity,[status(thm)],[c646,c669]) ).
cnf(c671,plain,
X2 = meet(meet(X2,join(X,X2)),X2),
inference(symmetry,[status(thm)],[c670]) ).
cnf(c672,plain,
meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))) = meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),
inference(congruence,[status(thm)],[c671]) ).
cnf(c673,plain,
X = join(meet(X2,X),meet(X,join(X2,X))),
inference(symmetry,[status(thm)],[c469]) ).
cnf(c674,plain,
meet(meet(X2,X),X) = meet(meet(X2,X),join(meet(X2,X),meet(X,join(X2,X)))),
inference(congruence,[status(thm)],[c673]) ).
cnf(c675,plain,
meet(meet(meet(X2,X),meet(X,join(X2,X))),meet(meet(X2,X),X)) = meet(meet(meet(X2,X),meet(X,join(X2,X))),meet(meet(X2,X),join(meet(X2,X),meet(X,join(X2,X))))),
inference(congruence,[status(thm)],[c674]) ).
cnf(c676,plain,
join(meet(meet(meet(X2,X),meet(X,join(X2,X))),meet(meet(X2,X),X)),meet(meet(meet(X2,X),meet(X,join(X2,X))),meet(X2,X))) = join(meet(meet(meet(X2,X),meet(X,join(X2,X))),meet(meet(X2,X),join(meet(X2,X),meet(X,join(X2,X))))),meet(meet(meet(X2,X),meet(X,join(X2,X))),meet(X2,X))),
inference(congruence,[status(thm)],[c675]) ).
cnf(c677,plain,
join(meet(meet(meet(X2,X),meet(X,join(X2,X))),meet(meet(X2,X),join(meet(X2,X),meet(X,join(X2,X))))),meet(meet(meet(X2,X),meet(X,join(X2,X))),meet(X2,X))) = meet(meet(X2,X),meet(X,join(X2,X))),
inference(substitution,[status(thm)],[c631]) ).
cnf(c678,plain,
join(meet(meet(meet(X2,X),meet(X,join(X2,X))),meet(meet(X2,X),X)),meet(meet(meet(X2,X),meet(X,join(X2,X))),meet(X2,X))) = meet(meet(X2,X),meet(X,join(X2,X))),
inference(transitivity,[status(thm)],[c676,c677]) ).
cnf(c679,plain,
join(meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(meet(X2,join(X,X2)),X2),X2)),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))) = meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),
inference(substitution,[status(thm)],[c678]) ).
cnf(c680,plain,
meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))) = join(meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(meet(X2,join(X,X2)),X2),X2)),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))),
inference(symmetry,[status(thm)],[c679]) ).
cnf(c681,plain,
meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))) = meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),
inference(congruence,[status(thm)],[c670]) ).
cnf(c682,plain,
meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(meet(X2,join(X,X2)),X2),X2)) = meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(meet(X2,join(X,X2)),X2),X2)),
inference(congruence,[status(thm)],[c681]) ).
cnf(c683,plain,
join(meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(meet(X2,join(X,X2)),X2),X2)),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))) = join(meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(meet(X2,join(X,X2)),X2),X2)),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))),
inference(congruence,[status(thm)],[c682]) ).
cnf(c684,plain,
meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))) = meet(X2,join(meet(X2,join(X,X2)),X2)),
inference(substitution,[status(thm)],[c642]) ).
cnf(c685,plain,
meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(meet(X2,join(X,X2)),X2),X2)) = meet(meet(X2,join(meet(X2,join(X,X2)),X2)),meet(meet(meet(X2,join(X,X2)),X2),X2)),
inference(congruence,[status(thm)],[c684]) ).
cnf(c686,plain,
join(meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(meet(X2,join(X,X2)),X2),X2)),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))) = join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),meet(meet(meet(X2,join(X,X2)),X2),X2)),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))),
inference(congruence,[status(thm)],[c685]) ).
cnf(c687,plain,
meet(meet(meet(X2,join(X,X2)),X2),X2) = meet(meet(X2,join(X,X2)),X2),
inference(substitution,[status(thm)],[c639]) ).
cnf(c688,plain,
meet(meet(X2,join(meet(X2,join(X,X2)),X2)),meet(meet(meet(X2,join(X,X2)),X2),X2)) = meet(meet(X2,join(meet(X2,join(X,X2)),X2)),meet(meet(X2,join(X,X2)),X2)),
inference(congruence,[status(thm)],[c687]) ).
cnf(c689,plain,
join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),meet(meet(meet(X2,join(X,X2)),X2),X2)),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))) = join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),meet(meet(X2,join(X,X2)),X2)),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))),
inference(congruence,[status(thm)],[c688]) ).
cnf(c690,plain,
meet(meet(X2,join(meet(X2,join(X,X2)),X2)),meet(meet(X2,join(X,X2)),X2)) = meet(meet(X2,join(meet(X2,join(X,X2)),X2)),X2),
inference(congruence,[status(thm)],[c670]) ).
cnf(c691,plain,
join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),meet(meet(X2,join(X,X2)),X2)),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))) = join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),X2),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))),
inference(congruence,[status(thm)],[c690]) ).
cnf(c692,plain,
meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))) = meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),
inference(congruence,[status(thm)],[c670]) ).
cnf(c693,plain,
meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2)) = meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2)),
inference(congruence,[status(thm)],[c692]) ).
cnf(c694,plain,
join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),X2),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))) = join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),X2),meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))),
inference(congruence,[status(thm)],[c693]) ).
cnf(c695,plain,
meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2)) = meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),X2),
inference(congruence,[status(thm)],[c670]) ).
cnf(c696,plain,
join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),X2),meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))) = join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),X2),meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),X2)),
inference(congruence,[status(thm)],[c695]) ).
cnf(c697,plain,
meet(meet(X2,join(meet(X2,join(X,X2)),X2)),X2) = X2,
inference(substitution,[status(thm)],[c670]) ).
cnf(c698,plain,
join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),X2),meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),X2)) = join(X2,meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),X2)),
inference(congruence,[status(thm)],[c697]) ).
cnf(c699,plain,
join(X2,meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),X2)) = X2,
inference(substitution,[status(thm)],[c590]) ).
cnf(c700,plain,
join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),X2),meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),X2)) = X2,
inference(transitivity,[status(thm)],[c698,c699]) ).
cnf(c701,plain,
join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),X2),meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))) = X2,
inference(transitivity,[status(thm)],[c696,c700]) ).
cnf(c702,plain,
join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),X2),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))) = X2,
inference(transitivity,[status(thm)],[c694,c701]) ).
cnf(c703,plain,
join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),meet(meet(X2,join(X,X2)),X2)),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))) = X2,
inference(transitivity,[status(thm)],[c691,c702]) ).
cnf(c704,plain,
join(meet(meet(X2,join(meet(X2,join(X,X2)),X2)),meet(meet(meet(X2,join(X,X2)),X2),X2)),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))) = X2,
inference(transitivity,[status(thm)],[c689,c703]) ).
cnf(c705,plain,
join(meet(meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(meet(X2,join(X,X2)),X2),X2)),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))) = X2,
inference(transitivity,[status(thm)],[c686,c704]) ).
cnf(c706,plain,
join(meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(meet(X2,join(X,X2)),X2),X2)),meet(meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))),meet(meet(X2,join(X,X2)),X2))) = X2,
inference(transitivity,[status(thm)],[c683,c705]) ).
cnf(c707,plain,
meet(meet(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))) = X2,
inference(transitivity,[status(thm)],[c680,c706]) ).
cnf(c708,plain,
meet(X2,meet(X2,join(meet(X2,join(X,X2)),X2))) = X2,
inference(transitivity,[status(thm)],[c672,c707]) ).
cnf(c709,plain,
meet(X2,join(meet(X2,join(X,X2)),X2)) = X2,
inference(transitivity,[status(thm)],[c644,c708]) ).
cnf(c710,plain,
join(join(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))) = join(join(meet(X2,join(X,X2)),X2),X2),
inference(congruence,[status(thm)],[c709]) ).
cnf(c711,plain,
join(join(meet(X2,join(X,X2)),X2),X2) = X2,
inference(substitution,[status(thm)],[c570]) ).
cnf(c712,plain,
join(join(meet(X2,join(X,X2)),X2),meet(X2,join(meet(X2,join(X,X2)),X2))) = X2,
inference(transitivity,[status(thm)],[c710,c711]) ).
cnf(c713,plain,
join(meet(X2,join(X,X2)),X2) = X2,
inference(transitivity,[status(thm)],[c592,c712]) ).
cnf(c714,plain,
meet(meet(X2,join(X,X2)),join(meet(X2,join(X,X2)),X2)) = meet(meet(X2,join(X,X2)),X2),
inference(congruence,[status(thm)],[c713]) ).
cnf(c715,plain,
join(meet(meet(X2,join(X,X2)),X2),meet(meet(X2,join(X,X2)),join(meet(X2,join(X,X2)),X2))) = join(meet(meet(X2,join(X,X2)),X2),meet(meet(X2,join(X,X2)),X2)),
inference(congruence,[status(thm)],[c714]) ).
cnf(c716,plain,
join(meet(meet(X2,join(X,X2)),X2),meet(meet(X2,join(X,X2)),X2)) = meet(meet(X2,join(X,X2)),X2),
inference(substitution,[status(thm)],[c579]) ).
cnf(c717,plain,
join(meet(meet(X2,join(X,X2)),X2),meet(meet(X2,join(X,X2)),X2)) = X2,
inference(transitivity,[status(thm)],[c716,c670]) ).
cnf(c718,plain,
join(meet(meet(X2,join(X,X2)),X2),meet(meet(X2,join(X,X2)),join(meet(X2,join(X,X2)),X2))) = X2,
inference(transitivity,[status(thm)],[c715,c717]) ).
cnf(c719,plain,
meet(X2,join(X,X2)) = X2,
inference(transitivity,[status(thm)],[c583,c718]) ).
cnf(c720,plain,
meet(X,join(X2,X)) = X,
inference(substitution,[status(thm)],[c719]) ).
cnf(c721,plain,
X = meet(X,join(X2,X)),
inference(symmetry,[status(thm)],[c720]) ).
cnf(c722,plain,
join(join(X2,X),X) = join(join(X2,X),meet(X,join(X2,X))),
inference(congruence,[status(thm)],[c721]) ).
cnf(c723,plain,
join(join(X2,X),meet(X,join(X2,X))) = join(X2,X),
inference(substitution,[status(thm)],[c590]) ).
cnf(c724,plain,
join(join(X2,X),X) = join(X2,X),
inference(transitivity,[status(thm)],[c722,c723]) ).
cnf(c725,plain,
join(join(X2,join(X2,X)),join(X2,X)) = join(X2,join(X2,X)),
inference(substitution,[status(thm)],[c724]) ).
cnf(c726,plain,
join(X2,join(X2,X)) = join(join(X2,join(X2,X)),join(X2,X)),
inference(symmetry,[status(thm)],[c725]) ).
cnf(c727,plain,
X2 = meet(join(X2,X),X2),
inference(symmetry,[status(thm)],[c649]) ).
cnf(c728,plain,
join(X2,join(X2,X)) = join(meet(join(X2,X),X2),join(X2,X)),
inference(congruence,[status(thm)],[c727]) ).
cnf(c729,plain,
join(join(X2,join(X2,X)),join(X2,X)) = join(join(meet(join(X2,X),X2),join(X2,X)),join(X2,X)),
inference(congruence,[status(thm)],[c728]) ).
cnf(c730,plain,
join(join(meet(join(X2,X),X2),join(X2,X)),join(X2,X)) = join(X2,X),
inference(substitution,[status(thm)],[c570]) ).
cnf(c731,plain,
join(join(X2,join(X2,X)),join(X2,X)) = join(X2,X),
inference(transitivity,[status(thm)],[c729,c730]) ).
cnf(c732,plain,
join(X2,join(X2,X)) = join(X2,X),
inference(transitivity,[status(thm)],[c726,c731]) ).
cnf(c733,plain,
join(X2,X) = join(X2,join(X2,X)),
inference(symmetry,[status(thm)],[c732]) ).
cnf(c734,plain,
meet(X2,join(X2,X)) = meet(X2,join(X2,join(X2,X))),
inference(congruence,[status(thm)],[c733]) ).
cnf(c735,plain,
join(meet(X2,join(X2,X)),meet(X2,join(X2,X))) = join(meet(X2,join(X2,X)),meet(X2,join(X2,join(X2,X)))),
inference(congruence,[status(thm)],[c734]) ).
cnf(c736,plain,
join(meet(X2,join(X2,X)),meet(X2,join(X2,join(X2,X)))) = X2,
inference(substitution,[status(thm)],[c157]) ).
cnf(c737,plain,
join(meet(X2,join(X2,X)),meet(X2,join(X2,X))) = X2,
inference(transitivity,[status(thm)],[c735,c736]) ).
cnf(c738,plain,
meet(X2,join(X2,X)) = X2,
inference(transitivity,[status(thm)],[c581,c737]) ).
cnf(c739,plain,
meet(meet(X2,X),join(meet(X2,X),meet(X2,join(X2,X)))) = meet(X2,X),
inference(substitution,[status(thm)],[c738]) ).
cnf(c740,plain,
meet(meet(X2,X),X2) = meet(X2,X),
inference(transitivity,[status(thm)],[c475,c739]) ).
cnf(c741,plain,
meet(X2,X) = meet(meet(X2,X),X2),
inference(symmetry,[status(thm)],[c740]) ).
cnf(c742,plain,
meet(meet(join(meet(X3,X2),X),X3),meet(X3,X2)) = meet(meet(join(meet(X3,X2),X),X3),meet(meet(X3,X2),X3)),
inference(congruence,[status(thm)],[c741]) ).
cnf(c743,plain,
X = join(X,X),
inference(symmetry,[status(thm)],[c579]) ).
cnf(c744,plain,
meet(X2,X) = meet(join(X2,X2),X),
inference(congruence,[status(thm)],[c743]) ).
cnf(c745,plain,
join(X2,meet(X2,X)) = join(X2,meet(join(X2,X2),X)),
inference(congruence,[status(thm)],[c744]) ).
cnf(c746,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c517]) ).
cnf(c747,plain,
join(X4,meet(join(X4,X4),X3)) = join(meet(meet(join(X4,X2),join(X,X4)),X4),meet(join(X4,X4),X3)),
inference(congruence,[status(thm)],[c746]) ).
cnf(c748,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c517]) ).
cnf(c749,plain,
join(X3,X3) = join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c748]) ).
cnf(c750,plain,
meet(join(X4,X4),X3) = meet(join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),X3),
inference(congruence,[status(thm)],[c749]) ).
cnf(c751,plain,
join(meet(meet(join(X4,X2),join(X,X4)),X4),meet(join(X4,X4),X3)) = join(meet(meet(join(X4,X2),join(X,X4)),X4),meet(join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),X3)),
inference(congruence,[status(thm)],[c750]) ).
cnf(c752,plain,
meet(X3,meet(meet(join(X3,X2),join(X,X3)),X3)) = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(substitution,[status(thm)],[c610]) ).
cnf(c753,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = meet(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(symmetry,[status(thm)],[c752]) ).
cnf(c754,plain,
join(meet(meet(join(X4,X2),join(X,X4)),X4),meet(join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),X3)) = join(meet(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),meet(join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),X3)),
inference(congruence,[status(thm)],[c753]) ).
cnf(c755,plain,
meet(meet(join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),X3),join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))) = meet(join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),X3),
inference(substitution,[status(thm)],[c740]) ).
cnf(c756,plain,
meet(join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),X3) = meet(meet(join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),X3),join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),
inference(symmetry,[status(thm)],[c755]) ).
cnf(c757,plain,
join(meet(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),meet(join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),X3)) = join(meet(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),meet(meet(join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),X3),join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))),
inference(congruence,[status(thm)],[c756]) ).
cnf(c758,plain,
join(meet(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),meet(meet(join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),X3),join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))) = X4,
inference(substitution,[status(thm)],[c515]) ).
cnf(c759,plain,
join(meet(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),meet(join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),X3)) = X4,
inference(transitivity,[status(thm)],[c757,c758]) ).
cnf(c760,plain,
join(meet(meet(join(X4,X2),join(X,X4)),X4),meet(join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)),X3)) = X4,
inference(transitivity,[status(thm)],[c754,c759]) ).
cnf(c761,plain,
join(meet(meet(join(X4,X2),join(X,X4)),X4),meet(join(X4,X4),X3)) = X4,
inference(transitivity,[status(thm)],[c751,c760]) ).
cnf(c762,plain,
join(X2,meet(join(X2,X2),X)) = X2,
inference(transitivity,[status(thm)],[c747,c761]) ).
cnf(c763,plain,
join(X2,meet(X2,X)) = X2,
inference(transitivity,[status(thm)],[c745,c762]) ).
cnf(c764,plain,
X2 = join(X2,meet(X2,X)),
inference(symmetry,[status(thm)],[c763]) ).
cnf(c765,plain,
meet(join(meet(X3,X2),X),X3) = meet(join(meet(X3,X2),X),join(X3,meet(X3,X2))),
inference(congruence,[status(thm)],[c764]) ).
cnf(c766,plain,
meet(meet(join(meet(X3,X2),X),X3),meet(meet(X3,X2),X3)) = meet(meet(join(meet(X3,X2),X),join(X3,meet(X3,X2))),meet(meet(X3,X2),X3)),
inference(congruence,[status(thm)],[c765]) ).
cnf(c767,plain,
X2 = join(X2,meet(X2,X)),
inference(symmetry,[status(thm)],[c763]) ).
cnf(c768,plain,
meet(meet(X2,X),X2) = meet(meet(X2,X),join(X2,meet(X2,X))),
inference(congruence,[status(thm)],[c767]) ).
cnf(c769,plain,
meet(meet(join(meet(X3,X2),X),join(X3,meet(X3,X2))),meet(meet(X3,X2),X3)) = meet(meet(join(meet(X3,X2),X),join(X3,meet(X3,X2))),meet(meet(X3,X2),join(X3,meet(X3,X2)))),
inference(congruence,[status(thm)],[c768]) ).
cnf(c770,plain,
meet(meet(X2,X),join(X2,meet(X2,X))) = meet(X2,X),
inference(substitution,[status(thm)],[c719]) ).
cnf(c771,plain,
meet(X2,X) = meet(meet(X2,X),join(X2,meet(X2,X))),
inference(symmetry,[status(thm)],[c770]) ).
cnf(c772,plain,
join(meet(X3,X2),X) = join(meet(meet(X3,X2),join(X3,meet(X3,X2))),X),
inference(congruence,[status(thm)],[c771]) ).
cnf(c773,plain,
meet(join(meet(X3,X2),X),join(X3,meet(X3,X2))) = meet(join(meet(meet(X3,X2),join(X3,meet(X3,X2))),X),join(X3,meet(X3,X2))),
inference(congruence,[status(thm)],[c772]) ).
cnf(c774,plain,
meet(meet(join(meet(X3,X2),X),join(X3,meet(X3,X2))),meet(meet(X3,X2),join(X3,meet(X3,X2)))) = meet(meet(join(meet(meet(X3,X2),join(X3,meet(X3,X2))),X),join(X3,meet(X3,X2))),meet(meet(X3,X2),join(X3,meet(X3,X2)))),
inference(congruence,[status(thm)],[c773]) ).
cnf(c775,plain,
join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)) = X3,
inference(substitution,[status(thm)],[c590]) ).
cnf(c776,plain,
X3 = join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(symmetry,[status(thm)],[c775]) ).
cnf(c777,plain,
meet(X4,X3) = meet(X4,join(X3,meet(meet(join(X3,X2),join(X,X3)),X3))),
inference(congruence,[status(thm)],[c776]) ).
cnf(c778,plain,
join(meet(X5,X4),X3) = join(meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),X3),
inference(congruence,[status(thm)],[c777]) ).
cnf(c779,plain,
meet(join(meet(X5,X4),X3),X4) = meet(join(meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),X3),X4),
inference(congruence,[status(thm)],[c778]) ).
cnf(c780,plain,
meet(meet(join(meet(X5,X4),X3),X4),meet(X5,X4)) = meet(meet(join(meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),X3),X4),meet(X5,X4)),
inference(congruence,[status(thm)],[c779]) ).
cnf(c781,plain,
join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)) = X3,
inference(substitution,[status(thm)],[c590]) ).
cnf(c782,plain,
X3 = join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(symmetry,[status(thm)],[c781]) ).
cnf(c783,plain,
meet(X4,X3) = meet(X4,join(X3,meet(meet(join(X3,X2),join(X,X3)),X3))),
inference(congruence,[status(thm)],[c782]) ).
cnf(c784,plain,
meet(meet(join(meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),X3),X4),meet(X5,X4)) = meet(meet(join(meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),X3),X4),meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))),
inference(congruence,[status(thm)],[c783]) ).
cnf(c785,plain,
join(meet(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),meet(X4,join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)))) = X3,
inference(substitution,[status(thm)],[c515]) ).
cnf(c786,plain,
X3 = join(meet(X3,meet(meet(join(X3,X2),join(X,X3)),X3)),meet(X4,join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)))),
inference(symmetry,[status(thm)],[c785]) ).
cnf(c787,plain,
meet(join(meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),X3),X4) = meet(join(meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),X3),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))))),
inference(congruence,[status(thm)],[c786]) ).
cnf(c788,plain,
meet(meet(join(meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),X3),X4),meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))) = meet(meet(join(meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),X3),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))))),meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))),
inference(congruence,[status(thm)],[c787]) ).
cnf(c789,plain,
meet(meet(join(meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),X3),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))))),meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))) = meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),
inference(substitution,[status(thm)],[c517]) ).
cnf(c790,plain,
join(X3,meet(meet(join(X3,X2),join(X,X3)),X3)) = X3,
inference(substitution,[status(thm)],[c590]) ).
cnf(c791,plain,
meet(X4,join(X3,meet(meet(join(X3,X2),join(X,X3)),X3))) = meet(X4,X3),
inference(congruence,[status(thm)],[c790]) ).
cnf(c792,plain,
meet(meet(join(meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),X3),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))))),meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))) = meet(X5,X4),
inference(transitivity,[status(thm)],[c789,c791]) ).
cnf(c793,plain,
meet(meet(join(meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),X3),X4),meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4)))) = meet(X5,X4),
inference(transitivity,[status(thm)],[c788,c792]) ).
cnf(c794,plain,
meet(meet(join(meet(X5,join(X4,meet(meet(join(X4,X2),join(X,X4)),X4))),X3),X4),meet(X5,X4)) = meet(X5,X4),
inference(transitivity,[status(thm)],[c784,c793]) ).
cnf(c795,plain,
meet(meet(join(meet(X3,X2),X),X2),meet(X3,X2)) = meet(X3,X2),
inference(transitivity,[status(thm)],[c780,c794]) ).
cnf(c796,plain,
meet(meet(join(meet(meet(X3,X2),join(X3,meet(X3,X2))),X),join(X3,meet(X3,X2))),meet(meet(X3,X2),join(X3,meet(X3,X2)))) = meet(meet(X3,X2),join(X3,meet(X3,X2))),
inference(substitution,[status(thm)],[c795]) ).
cnf(c797,plain,
meet(meet(X2,X),join(X2,meet(X2,X))) = meet(X2,X),
inference(substitution,[status(thm)],[c719]) ).
cnf(c798,plain,
meet(meet(join(meet(meet(X3,X2),join(X3,meet(X3,X2))),X),join(X3,meet(X3,X2))),meet(meet(X3,X2),join(X3,meet(X3,X2)))) = meet(X3,X2),
inference(transitivity,[status(thm)],[c796,c797]) ).
cnf(c799,plain,
meet(meet(join(meet(X3,X2),X),join(X3,meet(X3,X2))),meet(meet(X3,X2),join(X3,meet(X3,X2)))) = meet(X3,X2),
inference(transitivity,[status(thm)],[c774,c798]) ).
cnf(c800,plain,
meet(meet(join(meet(X3,X2),X),join(X3,meet(X3,X2))),meet(meet(X3,X2),X3)) = meet(X3,X2),
inference(transitivity,[status(thm)],[c769,c799]) ).
cnf(c801,plain,
meet(meet(join(meet(X3,X2),X),X3),meet(meet(X3,X2),X3)) = meet(X3,X2),
inference(transitivity,[status(thm)],[c766,c800]) ).
cnf(c802,plain,
meet(meet(join(meet(X3,X2),X),X3),meet(X3,X2)) = meet(X3,X2),
inference(transitivity,[status(thm)],[c742,c801]) ).
cnf(c803,plain,
meet(meet(join(meet(X,X2),meet(X2,join(X,X2))),X),meet(X,X2)) = meet(X,X2),
inference(substitution,[status(thm)],[c802]) ).
cnf(c804,plain,
meet(meet(X2,X),meet(X,X2)) = meet(X,X2),
inference(transitivity,[status(thm)],[c473,c803]) ).
cnf(c805,plain,
meet(X,X2) = meet(meet(X2,X),meet(X,X2)),
inference(symmetry,[status(thm)],[c804]) ).
cnf(c806,plain,
join(meet(X,X2),meet(meet(X,X2),meet(X2,X))) = meet(X,X2),
inference(substitution,[status(thm)],[c763]) ).
cnf(c807,plain,
meet(X,X2) = join(meet(X,X2),meet(meet(X,X2),meet(X2,X))),
inference(symmetry,[status(thm)],[c806]) ).
cnf(c808,plain,
meet(meet(X2,X),meet(X,X2)) = meet(meet(X2,X),join(meet(X,X2),meet(meet(X,X2),meet(X2,X)))),
inference(congruence,[status(thm)],[c807]) ).
cnf(c809,plain,
meet(meet(X,X2),meet(X2,X)) = meet(X2,X),
inference(substitution,[status(thm)],[c804]) ).
cnf(c810,plain,
meet(X2,X) = meet(meet(X,X2),meet(X2,X)),
inference(symmetry,[status(thm)],[c809]) ).
cnf(c811,plain,
meet(meet(X2,X),join(meet(X,X2),meet(meet(X,X2),meet(X2,X)))) = meet(meet(meet(X,X2),meet(X2,X)),join(meet(X,X2),meet(meet(X,X2),meet(X2,X)))),
inference(congruence,[status(thm)],[c810]) ).
cnf(c812,plain,
meet(meet(meet(X,X2),meet(X2,X)),join(meet(X,X2),meet(meet(X,X2),meet(X2,X)))) = meet(meet(X,X2),meet(X2,X)),
inference(substitution,[status(thm)],[c719]) ).
cnf(c813,plain,
meet(meet(X,X2),meet(X2,X)) = meet(X2,X),
inference(substitution,[status(thm)],[c804]) ).
cnf(c814,plain,
meet(meet(meet(X,X2),meet(X2,X)),join(meet(X,X2),meet(meet(X,X2),meet(X2,X)))) = meet(X2,X),
inference(transitivity,[status(thm)],[c812,c813]) ).
cnf(c815,plain,
meet(meet(X2,X),join(meet(X,X2),meet(meet(X,X2),meet(X2,X)))) = meet(X2,X),
inference(transitivity,[status(thm)],[c811,c814]) ).
cnf(c816,plain,
meet(meet(X2,X),meet(X,X2)) = meet(X2,X),
inference(transitivity,[status(thm)],[c808,c815]) ).
cnf(c817,plain,
meet(X,X2) = meet(X2,X),
inference(transitivity,[status(thm)],[c805,c816]) ).
cnf(c818,plain,
meet(b,a) = meet(a,b),
inference(substitution,[status(thm)],[c817]) ).
cnf(c819,plain,
$false,
inference(resolution,[status(thm)],[c1,c818]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT093-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.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 14:00:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.94/1.85 Command-line arguments: --no-flatten-goal
% 10.94/1.85
% 10.94/1.85 % SZS status Unsatisfiable
% 10.94/1.85
% 26.73/3.81 % SZS output start CNFRefutation
% See solution above
% 48.72/9.39
% 48.72/9.39 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------