%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT080-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 11:43:08 AM UTC 2026
% Result : Unsatisfiable 9.22s 1.80s
% Output : CNFRefutation 125.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 146
% Number of leaves : 2
% Syntax : Number of clauses : 1167 (1167 unt; 0 nHn; 3 RR)
% Number of literals : 1167 (1166 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 22 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 6014 ( 46 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(a,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_1) ).
cnf(c2,axiom,
join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(D,B),meet(B,E)),B)),meet(join(meet(B,meet(meet(join(D,join(B,E)),join(F,B)),B)),meet(G,join(B,meet(meet(join(D,join(B,E)),join(F,B)),B)))),join(A,join(join(meet(D,B),meet(B,E)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c3,plain,
join(meet(join(meet(X9,X8),meet(X8,join(X9,X8))),meet(meet(join(X7,join(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(X5,join(meet(X9,X8),meet(X8,join(X9,X8))))),join(meet(X9,X8),meet(X8,join(X9,X8))))),meet(join(meet(X9,join(join(meet(X4,X8),meet(X8,X3)),X8)),meet(join(meet(X8,meet(meet(join(X4,join(X8,X3)),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X4,join(X8,X3)),join(X2,X8)),X8)))),join(X9,join(join(meet(X4,X8),meet(X8,X3)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),meet(meet(join(X7,join(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(X5,join(meet(X9,X8),meet(X8,join(X9,X8))))),join(meet(X9,X8),meet(X8,join(X9,X8))))))) = X8,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
X8 = join(meet(join(meet(X9,X8),meet(X8,join(X9,X8))),meet(meet(join(X7,join(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(X5,join(meet(X9,X8),meet(X8,join(X9,X8))))),join(meet(X9,X8),meet(X8,join(X9,X8))))),meet(join(meet(X9,join(join(meet(X4,X8),meet(X8,X3)),X8)),meet(join(meet(X8,meet(meet(join(X4,join(X8,X3)),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X4,join(X8,X3)),join(X2,X8)),X8)))),join(X9,join(join(meet(X4,X8),meet(X8,X3)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),meet(meet(join(X7,join(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(X5,join(meet(X9,X8),meet(X8,join(X9,X8))))),join(meet(X9,X8),meet(X8,join(X9,X8))))))),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
meet(X8,join(X10,join(join(meet(X7,join(meet(X9,X8),meet(X8,join(X9,X8)))),meet(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(meet(X9,X8),meet(X8,join(X9,X8)))))) = meet(join(meet(join(meet(X9,X8),meet(X8,join(X9,X8))),meet(meet(join(X7,join(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(X5,join(meet(X9,X8),meet(X8,join(X9,X8))))),join(meet(X9,X8),meet(X8,join(X9,X8))))),meet(join(meet(X9,join(join(meet(X4,X8),meet(X8,X3)),X8)),meet(join(meet(X8,meet(meet(join(X4,join(X8,X3)),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X4,join(X8,X3)),join(X2,X8)),X8)))),join(X9,join(join(meet(X4,X8),meet(X8,X3)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),meet(meet(join(X7,join(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(X5,join(meet(X9,X8),meet(X8,join(X9,X8))))),join(meet(X9,X8),meet(X8,join(X9,X8))))))),join(X10,join(join(meet(X7,join(meet(X9,X8),meet(X8,join(X9,X8)))),meet(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(meet(X9,X8),meet(X8,join(X9,X8)))))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
join(meet(X10,join(join(meet(X7,join(meet(X9,X8),meet(X8,join(X9,X8)))),meet(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(meet(X9,X8),meet(X8,join(X9,X8))))),meet(X8,join(X10,join(join(meet(X7,join(meet(X9,X8),meet(X8,join(X9,X8)))),meet(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(meet(X9,X8),meet(X8,join(X9,X8))))))) = join(meet(X10,join(join(meet(X7,join(meet(X9,X8),meet(X8,join(X9,X8)))),meet(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(meet(X9,X8),meet(X8,join(X9,X8))))),meet(join(meet(join(meet(X9,X8),meet(X8,join(X9,X8))),meet(meet(join(X7,join(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(X5,join(meet(X9,X8),meet(X8,join(X9,X8))))),join(meet(X9,X8),meet(X8,join(X9,X8))))),meet(join(meet(X9,join(join(meet(X4,X8),meet(X8,X3)),X8)),meet(join(meet(X8,meet(meet(join(X4,join(X8,X3)),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X4,join(X8,X3)),join(X2,X8)),X8)))),join(X9,join(join(meet(X4,X8),meet(X8,X3)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),meet(meet(join(X7,join(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(X5,join(meet(X9,X8),meet(X8,join(X9,X8))))),join(meet(X9,X8),meet(X8,join(X9,X8))))))),join(X10,join(join(meet(X7,join(meet(X9,X8),meet(X8,join(X9,X8)))),meet(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(meet(X9,X8),meet(X8,join(X9,X8))))))),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,plain,
meet(join(meet(X10,join(join(meet(X7,join(meet(X9,X8),meet(X8,join(X9,X8)))),meet(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(meet(X9,X8),meet(X8,join(X9,X8))))),meet(X8,join(X10,join(join(meet(X7,join(meet(X9,X8),meet(X8,join(X9,X8)))),meet(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(meet(X9,X8),meet(X8,join(X9,X8))))))),join(join(meet(X10,join(meet(X9,X8),meet(X8,join(X9,X8)))),meet(join(meet(X9,X8),meet(X8,join(X9,X8))),join(X10,join(meet(X9,X8),meet(X8,join(X9,X8)))))),X11)) = meet(join(meet(X10,join(join(meet(X7,join(meet(X9,X8),meet(X8,join(X9,X8)))),meet(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(meet(X9,X8),meet(X8,join(X9,X8))))),meet(join(meet(join(meet(X9,X8),meet(X8,join(X9,X8))),meet(meet(join(X7,join(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(X5,join(meet(X9,X8),meet(X8,join(X9,X8))))),join(meet(X9,X8),meet(X8,join(X9,X8))))),meet(join(meet(X9,join(join(meet(X4,X8),meet(X8,X3)),X8)),meet(join(meet(X8,meet(meet(join(X4,join(X8,X3)),join(X2,X8)),X8)),meet(X,join(X8,meet(meet(join(X4,join(X8,X3)),join(X2,X8)),X8)))),join(X9,join(join(meet(X4,X8),meet(X8,X3)),X8)))),join(join(meet(X9,X8),meet(X8,join(X9,X8))),meet(meet(join(X7,join(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(X5,join(meet(X9,X8),meet(X8,join(X9,X8))))),join(meet(X9,X8),meet(X8,join(X9,X8))))))),join(X10,join(join(meet(X7,join(meet(X9,X8),meet(X8,join(X9,X8)))),meet(join(meet(X9,X8),meet(X8,join(X9,X8))),X6)),join(meet(X9,X8),meet(X8,join(X9,X8))))))),join(join(meet(X10,join(meet(X9,X8),meet(X8,join(X9,X8)))),meet(join(meet(X9,X8),meet(X8,join(X9,X8))),join(X10,join(meet(X9,X8),meet(X8,join(X9,X8)))))),X11)),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,plain,
join(meet(join(meet(X11,join(meet(X10,X9),meet(X9,join(X10,X9)))),meet(join(meet(X10,X9),meet(X9,join(X10,X9))),join(X11,join(meet(X10,X9),meet(X9,join(X10,X9)))))),X8),meet(join(meet(X11,join(join(meet(X7,join(meet(X10,X9),meet(X9,join(X10,X9)))),meet(join(meet(X10,X9),meet(X9,join(X10,X9))),X6)),join(meet(X10,X9),meet(X9,join(X10,X9))))),meet(X9,join(X11,join(join(meet(X7,join(meet(X10,X9),meet(X9,join(X10,X9)))),meet(join(meet(X10,X9),meet(X9,join(X10,X9))),X6)),join(meet(X10,X9),meet(X9,join(X10,X9))))))),join(join(meet(X11,join(meet(X10,X9),meet(X9,join(X10,X9)))),meet(join(meet(X10,X9),meet(X9,join(X10,X9))),join(X11,join(meet(X10,X9),meet(X9,join(X10,X9)))))),X8))) = join(meet(join(meet(X11,join(meet(X10,X9),meet(X9,join(X10,X9)))),meet(join(meet(X10,X9),meet(X9,join(X10,X9))),join(X11,join(meet(X10,X9),meet(X9,join(X10,X9)))))),X8),meet(join(meet(X11,join(join(meet(X7,join(meet(X10,X9),meet(X9,join(X10,X9)))),meet(join(meet(X10,X9),meet(X9,join(X10,X9))),X6)),join(meet(X10,X9),meet(X9,join(X10,X9))))),meet(join(meet(join(meet(X10,X9),meet(X9,join(X10,X9))),meet(meet(join(X7,join(join(meet(X10,X9),meet(X9,join(X10,X9))),X6)),join(X5,join(meet(X10,X9),meet(X9,join(X10,X9))))),join(meet(X10,X9),meet(X9,join(X10,X9))))),meet(join(meet(X10,join(join(meet(X4,X9),meet(X9,X3)),X9)),meet(join(meet(X9,meet(meet(join(X4,join(X9,X3)),join(X2,X9)),X9)),meet(X,join(X9,meet(meet(join(X4,join(X9,X3)),join(X2,X9)),X9)))),join(X10,join(join(meet(X4,X9),meet(X9,X3)),X9)))),join(join(meet(X10,X9),meet(X9,join(X10,X9))),meet(meet(join(X7,join(join(meet(X10,X9),meet(X9,join(X10,X9))),X6)),join(X5,join(meet(X10,X9),meet(X9,join(X10,X9))))),join(meet(X10,X9),meet(X9,join(X10,X9))))))),join(X11,join(join(meet(X7,join(meet(X10,X9),meet(X9,join(X10,X9)))),meet(join(meet(X10,X9),meet(X9,join(X10,X9))),X6)),join(meet(X10,X9),meet(X9,join(X10,X9))))))),join(join(meet(X11,join(meet(X10,X9),meet(X9,join(X10,X9)))),meet(join(meet(X10,X9),meet(X9,join(X10,X9))),join(X11,join(meet(X10,X9),meet(X9,join(X10,X9)))))),X8))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
join(meet(join(meet(X11,join(meet(X10,X9),meet(X9,join(X10,X9)))),meet(join(meet(X10,X9),meet(X9,join(X10,X9))),join(X11,join(meet(X10,X9),meet(X9,join(X10,X9)))))),X8),meet(join(meet(X11,join(join(meet(X7,join(meet(X10,X9),meet(X9,join(X10,X9)))),meet(join(meet(X10,X9),meet(X9,join(X10,X9))),X6)),join(meet(X10,X9),meet(X9,join(X10,X9))))),meet(join(meet(join(meet(X10,X9),meet(X9,join(X10,X9))),meet(meet(join(X7,join(join(meet(X10,X9),meet(X9,join(X10,X9))),X6)),join(X5,join(meet(X10,X9),meet(X9,join(X10,X9))))),join(meet(X10,X9),meet(X9,join(X10,X9))))),meet(join(meet(X10,join(join(meet(X4,X9),meet(X9,X3)),X9)),meet(join(meet(X9,meet(meet(join(X4,join(X9,X3)),join(X2,X9)),X9)),meet(X,join(X9,meet(meet(join(X4,join(X9,X3)),join(X2,X9)),X9)))),join(X10,join(join(meet(X4,X9),meet(X9,X3)),X9)))),join(join(meet(X10,X9),meet(X9,join(X10,X9))),meet(meet(join(X7,join(join(meet(X10,X9),meet(X9,join(X10,X9))),X6)),join(X5,join(meet(X10,X9),meet(X9,join(X10,X9))))),join(meet(X10,X9),meet(X9,join(X10,X9))))))),join(X11,join(join(meet(X7,join(meet(X10,X9),meet(X9,join(X10,X9)))),meet(join(meet(X10,X9),meet(X9,join(X10,X9))),X6)),join(meet(X10,X9),meet(X9,join(X10,X9))))))),join(join(meet(X11,join(meet(X10,X9),meet(X9,join(X10,X9)))),meet(join(meet(X10,X9),meet(X9,join(X10,X9))),join(X11,join(meet(X10,X9),meet(X9,join(X10,X9)))))),X8))) = join(meet(X10,X9),meet(X9,join(X10,X9))),
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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X6,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X4,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X3)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(join(meet(X7,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X7,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X4,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X3)),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(X4,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X3)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(join(meet(X7,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X7,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X4,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X3)),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(X4,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X3)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X8,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X8,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X4,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X3)),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(X4,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X3)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X8,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X8,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X4,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X3)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))))),
inference(symmetry,[status(thm)],[c28]) ).
cnf(c30,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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,plain,
join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)) = join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
join(join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))) = join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
meet(X8,join(join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))) = meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
join(meet(X8,join(join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))))) = join(meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
meet(join(meet(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))))),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))))),X4),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)) = join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))) = join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,plain,
meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))) = meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
join(meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))))) = join(meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))))),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,plain,
join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))) = join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))) = meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),
inference(congruence,[status(thm)],[c48]) ).
cnf(c50,plain,
join(meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))))) = join(meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),
inference(congruence,[status(thm)],[c49]) ).
cnf(c51,plain,
meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))))),
inference(symmetry,[status(thm)],[c53]) ).
cnf(c55,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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))))))))),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,plain,
join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)) = join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
join(join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))) = join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
join(X8,join(join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))) = join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))))) = meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))))),
inference(congruence,[status(thm)],[c58]) ).
cnf(c60,plain,
join(meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))))) = join(meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),
inference(congruence,[status(thm)],[c59]) ).
cnf(c61,plain,
meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))))),
inference(symmetry,[status(thm)],[c63]) ).
cnf(c65,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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))))),X4),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)) = join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))) = join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))),
inference(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))) = join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))),
inference(congruence,[status(thm)],[c67]) ).
cnf(c69,plain,
meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))))) = meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))))),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
join(meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))))) = join(meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,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)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X4)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))))),
inference(symmetry,[status(thm)],[c73]) ).
cnf(c75,plain,
join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))) = join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),
inference(congruence,[status(thm)],[c74]) ).
cnf(c76,plain,
join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6))))) = join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),X4)),join(meet(X7,X6),meet(X6,join(X7,X6)))))) = meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))))),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
join(meet(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))))),join(X8,join(join(meet(X5,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(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X3,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6))))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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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= 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8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X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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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),join(meet(X6,X5),meet(X5,join(X6,X5))))),meet(X5,join(X3,join(join(meet(X2,join(meet(X6,X5),meet(X5,join(X6,X5)))),meet(join(meet(X6,X5),meet(X5,join(X6,X5))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),join(meet(X5,X4),meet(X4,join(X5,X4))))),meet(X4,join(X3,join(join(meet(X2,join(meet(X5,X4),meet(X4,join(X5,X4)))),meet(join(meet(X5,X4),meet(X4,join(X5,X4))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,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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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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)],[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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X4)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,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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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))))))))),X6),meet(join(meet(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7)))))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),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(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(join(meet(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))),meet(X7,join(X3,join(join(meet(X2,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X)),join(meet(X8,X7),meet(X7,join(X8,X7))))))),join(X9,join(join(meet(X5,join(meet(X8,X7),meet(X7,join(X8,X7)))),meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X4)),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(X4,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X3)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(join(meet(X8,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),join(meet(X7,X6),meet(X6,join(X7,X6))))),meet(X6,join(X8,join(join(meet(X2,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X)),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(X4,join(meet(X7,X6),meet(X6,join(X7,X6)))),meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X3)),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(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c140,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c139]) ).
cnf(c141,plain,
meet(X7,join(X7,X6)) = meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X7,X6)),
inference(congruence,[status(thm)],[c140]) ).
cnf(c142,plain,
join(meet(X7,X6),meet(X7,join(X7,X6))) = join(meet(X7,X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X7,X6))),
inference(congruence,[status(thm)],[c141]) ).
cnf(c143,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c144,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c143]) ).
cnf(c145,plain,
join(X7,X6) = join(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),X6),
inference(congruence,[status(thm)],[c144]) ).
cnf(c146,plain,
meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X7,X6)) = meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),X6)),
inference(congruence,[status(thm)],[c145]) ).
cnf(c147,plain,
join(meet(X7,X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X7,X6))) = join(meet(X7,X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),X6))),
inference(congruence,[status(thm)],[c146]) ).
cnf(c148,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c149,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c148]) ).
cnf(c150,plain,
meet(X7,X6) = meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),X6),
inference(congruence,[status(thm)],[c149]) ).
cnf(c151,plain,
join(meet(X7,X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),X6))) = join(meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),X6))),
inference(congruence,[status(thm)],[c150]) ).
cnf(c152,plain,
join(meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),X6))) = join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),
inference(substitution,[status(thm)],[c137]) ).
cnf(c153,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c154,plain,
join(meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),X6))) = X7,
inference(transitivity,[status(thm)],[c152,c153]) ).
cnf(c155,plain,
join(meet(X7,X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),X6))) = X7,
inference(transitivity,[status(thm)],[c151,c154]) ).
cnf(c156,plain,
join(meet(X7,X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X7,X6))) = X7,
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(X2,join(meet(X3,X4),meet(X4,join(X3,X4)))),meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X)),join(meet(X3,X4),meet(X4,join(X3,X4))))),meet(X4,join(X4,join(join(meet(X2,join(meet(X3,X4),meet(X4,join(X3,X4)))),meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X)),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(X2,join(meet(X3,X4),meet(X4,join(X3,X4)))),meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X)),join(meet(X3,X4),meet(X4,join(X3,X4))))),meet(X4,join(X4,join(join(meet(X2,join(meet(X3,X4),meet(X4,join(X3,X4)))),meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X)),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(X2,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),X)),join(meet(X4,X5),meet(X5,join(X4,X5))))),meet(X5,join(X5,join(join(meet(X2,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),X)),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(X2,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),X)),join(meet(X4,X5),meet(X5,join(X4,X5))))),meet(X5,join(X5,join(join(meet(X2,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),X)),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(X2,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),X)),join(meet(X4,X5),meet(X5,join(X4,X5))))),meet(X5,join(X5,join(join(meet(X2,join(meet(X4,X5),meet(X5,join(X4,X5)))),meet(join(meet(X4,X5),meet(X5,join(X4,X5))),X)),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(X2,X3),meet(X3,X)),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(X2,X3),meet(X3,X)),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(X2,X3),meet(X3,X)),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(X2,X3),meet(X3,X)),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(X2,X4),meet(X4,X)),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(X2,X4),meet(X4,X)),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(X2,X4),meet(X4,X)),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(X2,X4),meet(X4,X)),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(X2,X4),meet(X4,X)),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(X2,X4),meet(X4,X)),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(X2,X4),meet(X4,X)),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(X2,X4),meet(X4,X)),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(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c178,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c177]) ).
cnf(c179,plain,
meet(X6,join(X7,X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6)),
inference(congruence,[status(thm)],[c178]) ).
cnf(c180,plain,
join(meet(X7,X6),meet(X6,join(X7,X6))) = join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),
inference(congruence,[status(thm)],[c179]) ).
cnf(c181,plain,
meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X6) = meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6),
inference(congruence,[status(thm)],[c180]) ).
cnf(c182,plain,
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))) = join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),
inference(congruence,[status(thm)],[c181]) ).
cnf(c183,plain,
meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6) = meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),
inference(congruence,[status(thm)],[c182]) ).
cnf(c184,plain,
join(meet(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c183]) ).
cnf(c185,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c186,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c185]) ).
cnf(c187,plain,
join(X7,X6) = join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),
inference(congruence,[status(thm)],[c186]) ).
cnf(c188,plain,
meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))))),
inference(congruence,[status(thm)],[c187]) ).
cnf(c189,plain,
join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))) = join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),
inference(congruence,[status(thm)],[c188]) ).
cnf(c190,plain,
meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6) = meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6),
inference(congruence,[status(thm)],[c189]) ).
cnf(c191,plain,
join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))) = join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),
inference(congruence,[status(thm)],[c190]) ).
cnf(c192,plain,
meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6) = meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),
inference(congruence,[status(thm)],[c191]) ).
cnf(c193,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c192]) ).
cnf(c194,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c195,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c194]) ).
cnf(c196,plain,
meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6) = meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),
inference(congruence,[status(thm)],[c195]) ).
cnf(c197,plain,
join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))) = join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),
inference(congruence,[status(thm)],[c196]) ).
cnf(c198,plain,
meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6) = meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),
inference(congruence,[status(thm)],[c197]) ).
cnf(c199,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c198]) ).
cnf(c200,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c201,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c200]) ).
cnf(c202,plain,
meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6)),
inference(congruence,[status(thm)],[c201]) ).
cnf(c203,plain,
join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))) = join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),
inference(congruence,[status(thm)],[c202]) ).
cnf(c204,plain,
meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6) = meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),
inference(congruence,[status(thm)],[c203]) ).
cnf(c205,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c204]) ).
cnf(c206,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c207,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c206]) ).
cnf(c208,plain,
meet(X7,X6) = meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),
inference(congruence,[status(thm)],[c207]) ).
cnf(c209,plain,
join(meet(X7,X6),meet(X6,join(X7,X6))) = join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),
inference(congruence,[status(thm)],[c208]) ).
cnf(c210,plain,
join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6) = join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6),
inference(congruence,[status(thm)],[c209]) ).
cnf(c211,plain,
meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6)),
inference(congruence,[status(thm)],[c210]) ).
cnf(c212,plain,
join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))) = join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6))),
inference(congruence,[status(thm)],[c211]) ).
cnf(c213,plain,
meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6) = meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(X8,X7))),X7))),X6),
inference(congruence,[status(thm)],[c212]) ).
cnf(c214,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c213]) ).
cnf(c215,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c216,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c215]) ).
cnf(c217,plain,
meet(X6,join(X7,X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6)),
inference(congruence,[status(thm)],[c216]) ).
cnf(c218,plain,
join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))) = join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),
inference(congruence,[status(thm)],[c217]) ).
cnf(c219,plain,
join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6) = join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6),
inference(congruence,[status(thm)],[c218]) ).
cnf(c220,plain,
meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6)),
inference(congruence,[status(thm)],[c219]) ).
cnf(c221,plain,
join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6))) = join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6))),
inference(congruence,[status(thm)],[c220]) ).
cnf(c222,plain,
meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(X8,X7))),X7))),X6) = meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7))),X6),
inference(congruence,[status(thm)],[c221]) ).
cnf(c223,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c222]) ).
cnf(c224,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c225,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c224]) ).
cnf(c226,plain,
join(X7,X6) = join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),
inference(congruence,[status(thm)],[c225]) ).
cnf(c227,plain,
meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))))),
inference(congruence,[status(thm)],[c226]) ).
cnf(c228,plain,
join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))) = join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),
inference(congruence,[status(thm)],[c227]) ).
cnf(c229,plain,
join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6) = join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6),
inference(congruence,[status(thm)],[c228]) ).
cnf(c230,plain,
meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6)),
inference(congruence,[status(thm)],[c229]) ).
cnf(c231,plain,
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= 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X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6))),
inference(congruence,[status(thm)],[c230]) ).
cnf(c232,plain,
meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7))),X6) = meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7))),X6),
inference(congruence,[status(thm)],[c231]) ).
cnf(c233,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c232]) ).
cnf(c234,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c235,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c234]) ).
cnf(c236,plain,
join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6) = join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),
inference(congruence,[status(thm)],[c235]) ).
cnf(c237,plain,
meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))))),
inference(congruence,[status(thm)],[c236]) ).
cnf(c238,plain,
join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6))) = join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),
inference(congruence,[status(thm)],[c237]) ).
cnf(c239,plain,
meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7))),X6) = meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6),
inference(congruence,[status(thm)],[c238]) ).
cnf(c240,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c239]) ).
cnf(c241,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c242,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c241]) ).
cnf(c243,plain,
meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6)) = meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6)),
inference(congruence,[status(thm)],[c242]) ).
cnf(c244,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c243]) ).
cnf(c245,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c246,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c245]) ).
cnf(c247,plain,
meet(X7,X6) = meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),
inference(congruence,[status(thm)],[c246]) ).
cnf(c248,plain,
join(meet(X7,X6),meet(X6,join(X7,X6))) = join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),
inference(congruence,[status(thm)],[c247]) ).
cnf(c249,plain,
meet(join(meet(X7,X6),meet(X6,join(X7,X6))),X6) = meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6),
inference(congruence,[status(thm)],[c248]) ).
cnf(c250,plain,
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))) = join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),
inference(congruence,[status(thm)],[c249]) ).
cnf(c251,plain,
join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6) = join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),
inference(congruence,[status(thm)],[c250]) ).
cnf(c252,plain,
meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6)) = meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6)),
inference(congruence,[status(thm)],[c251]) ).
cnf(c253,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c252]) ).
cnf(c254,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c255,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c254]) ).
cnf(c256,plain,
meet(X6,join(X7,X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6)),
inference(congruence,[status(thm)],[c255]) ).
cnf(c257,plain,
join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))) = join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),
inference(congruence,[status(thm)],[c256]) ).
cnf(c258,plain,
meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6) = meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6),
inference(congruence,[status(thm)],[c257]) ).
cnf(c259,plain,
join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))) = join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),
inference(congruence,[status(thm)],[c258]) ).
cnf(c260,plain,
join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6) = join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),
inference(congruence,[status(thm)],[c259]) ).
cnf(c261,plain,
meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6)) = meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6)),
inference(congruence,[status(thm)],[c260]) ).
cnf(c262,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),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= join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c261]) ).
cnf(c263,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c264,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c263]) ).
cnf(c265,plain,
join(X7,X6) = join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),
inference(congruence,[status(thm)],[c264]) ).
cnf(c266,plain,
meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))))),
inference(congruence,[status(thm)],[c265]) ).
cnf(c267,plain,
join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))) = join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),
inference(congruence,[status(thm)],[c266]) ).
cnf(c268,plain,
meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6) = meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6),
inference(congruence,[status(thm)],[c267]) ).
cnf(c269,plain,
join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))) = join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),
inference(congruence,[status(thm)],[c268]) ).
cnf(c270,plain,
join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6) = join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),
inference(congruence,[status(thm)],[c269]) ).
cnf(c271,plain,
meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6)) = meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6)),
inference(congruence,[status(thm)],[c270]) ).
cnf(c272,plain,
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join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c271]) ).
cnf(c273,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c274,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c273]) ).
cnf(c275,plain,
meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6) = meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),
inference(congruence,[status(thm)],[c274]) ).
cnf(c276,plain,
join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))) = join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),
inference(congruence,[status(thm)],[c275]) ).
cnf(c277,plain,
join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6) = join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),
inference(congruence,[status(thm)],[c276]) ).
cnf(c278,plain,
meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6)) = meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6)),
inference(congruence,[status(thm)],[c277]) ).
cnf(c279,plain,
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= 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join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c278]) ).
cnf(c280,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c281,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c280]) ).
cnf(c282,plain,
meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6)),
inference(congruence,[status(thm)],[c281]) ).
cnf(c283,plain,
join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))) = join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))),
inference(congruence,[status(thm)],[c282]) ).
cnf(c284,plain,
join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6) = join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),
inference(congruence,[status(thm)],[c283]) ).
cnf(c285,plain,
meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6)) = meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6)),
inference(congruence,[status(thm)],[c284]) ).
cnf(c286,plain,
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= join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))),
inference(congruence,[status(thm)],[c285]) ).
cnf(c287,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c288,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c287]) ).
cnf(c289,plain,
meet(X7,X6) = meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),
inference(congruence,[status(thm)],[c288]) ).
cnf(c290,plain,
join(meet(X7,X6),meet(X6,join(X7,X6))) = join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),
inference(congruence,[status(thm)],[c289]) ).
cnf(c291,plain,
join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6) = join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6),
inference(congruence,[status(thm)],[c290]) ).
cnf(c292,plain,
meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6)),
inference(congruence,[status(thm)],[c291]) ).
cnf(c293,plain,
join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,X6),meet(X6,join(X7,X6))),X6))) = 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inference(congruence,[status(thm)],[c292]) ).
cnf(c294,plain,
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= 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inference(congruence,[status(thm)],[c293]) ).
cnf(c295,plain,
meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6)) = meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(X8,X7))),X7))),X6)),
inference(congruence,[status(thm)],[c294]) ).
cnf(c296,plain,
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= 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inference(congruence,[status(thm)],[c295]) ).
cnf(c297,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c298,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c297]) ).
cnf(c299,plain,
meet(X6,join(X7,X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6)),
inference(congruence,[status(thm)],[c298]) ).
cnf(c300,plain,
join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))) = join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),
inference(congruence,[status(thm)],[c299]) ).
cnf(c301,plain,
join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6) = join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6),
inference(congruence,[status(thm)],[c300]) ).
cnf(c302,plain,
meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6)),
inference(congruence,[status(thm)],[c301]) ).
cnf(c303,plain,
join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(X6,join(X7,X6))),X6))) = join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6))),
inference(congruence,[status(thm)],[c302]) ).
cnf(c304,plain,
join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(X8,X7))),X7))),X6) = join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7))),X6),
inference(congruence,[status(thm)],[c303]) ).
cnf(c305,plain,
meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(X8,X7))),X7))),X6)) = meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7))),X6)),
inference(congruence,[status(thm)],[c304]) ).
cnf(c306,plain,
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inference(congruence,[status(thm)],[c305]) ).
cnf(c307,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c308,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c307]) ).
cnf(c309,plain,
join(X7,X6) = join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),
inference(congruence,[status(thm)],[c308]) ).
cnf(c310,plain,
meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))))),
inference(congruence,[status(thm)],[c309]) ).
cnf(c311,plain,
join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))) = join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),
inference(congruence,[status(thm)],[c310]) ).
cnf(c312,plain,
join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6) = join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6),
inference(congruence,[status(thm)],[c311]) ).
cnf(c313,plain,
meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6)),
inference(congruence,[status(thm)],[c312]) ).
cnf(c314,plain,
join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,X6))),X6))) = join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(joi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inference(congruence,[status(thm)],[c313]) ).
cnf(c315,plain,
join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7))),X6) = join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,joi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inference(congruence,[status(thm)],[c314]) ).
cnf(c316,plain,
meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join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= meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7))),X6)),
inference(congruence,[status(thm)],[c315]) ).
cnf(c317,plain,
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inference(congruence,[status(thm)],[c316]) ).
cnf(c318,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c319,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c318]) ).
cnf(c320,plain,
join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6) = join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),
inference(congruence,[status(thm)],[c319]) ).
cnf(c321,plain,
meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),X6)) = meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))))),
inference(congruence,[status(thm)],[c320]) ).
cnf(c322,plain,
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= 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inference(congruence,[status(thm)],[c321]) ).
cnf(c323,plain,
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= 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inference(congruence,[status(thm)],[c322]) ).
cnf(c324,plain,
meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join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= 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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(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c327,plain,
X6 = join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),
inference(symmetry,[status(thm)],[c326]) ).
cnf(c328,plain,
meet(X7,X6) = meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),
inference(congruence,[status(thm)],[c327]) ).
cnf(c329,plain,
join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))) = join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),
inference(congruence,[status(thm)],[c328]) ).
cnf(c330,plain,
meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))) = meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),
inference(congruence,[status(thm)],[c329]) ).
cnf(c331,plain,
join(meet(join(meet(X7,X6),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(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= join(meet(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))))),join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))),join(join(meet(X7,join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))))))),meet(join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(joi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inference(congruence,[status(thm)],[c330]) ).
cnf(c332,plain,
meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6) = meet(join(meet(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,joi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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(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6))) = join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),
inference(substitution,[status(thm)],[c125]) ).
cnf(c335,plain,
join(meet(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))),meet(join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(join(meet(X5,X6),meet(X6,join(X5,X6))),join(meet(X5,join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X5,join(join(meet(X4,X6),meet(X6,X3)),X6))))))) = X6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c336,plain,
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))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6))) = X7,
inference(transitivity,[status(thm)],[c334,c335]) ).
cnf(c337,plain,
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= X7,
inference(transitivity,[status(thm)],[c333,c336]) ).
cnf(c338,plain,
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= X7,
inference(transitivity,[status(thm)],[c325,c337]) ).
cnf(c339,plain,
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= X7,
inference(transitivity,[status(thm)],[c317,c338]) ).
cnf(c340,plain,
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= X7,
inference(transitivity,[status(thm)],[c306,c339]) ).
cnf(c341,plain,
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= X7,
inference(transitivity,[status(thm)],[c296,c340]) ).
cnf(c342,plain,
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= X7,
inference(transitivity,[status(thm)],[c286,c341]) ).
cnf(c343,plain,
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= X7,
inference(transitivity,[status(thm)],[c279,c342]) ).
cnf(c344,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),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= X7,
inference(transitivity,[status(thm)],[c272,c343]) ).
cnf(c345,plain,
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= X7,
inference(transitivity,[status(thm)],[c262,c344]) ).
cnf(c346,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = X7,
inference(transitivity,[status(thm)],[c253,c345]) ).
cnf(c347,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = X7,
inference(transitivity,[status(thm)],[c244,c346]) ).
cnf(c348,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = X7,
inference(transitivity,[status(thm)],[c240,c347]) ).
cnf(c349,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = X7,
inference(transitivity,[status(thm)],[c233,c348]) ).
cnf(c350,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = X7,
inference(transitivity,[status(thm)],[c223,c349]) ).
cnf(c351,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = X7,
inference(transitivity,[status(thm)],[c214,c350]) ).
cnf(c352,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = X7,
inference(transitivity,[status(thm)],[c205,c351]) ).
cnf(c353,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))))))))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = X7,
inference(transitivity,[status(thm)],[c199,c352]) ).
cnf(c354,plain,
join(meet(join(meet(join(meet(X8,X7),meet(join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7))))))),join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6),meet(X7,join(join(meet(join(meet(X8,X7),meet(X7,join(X8,X7))),X7),meet(X7,join(join(meet(X8,X7),meet(X7,join(X8,X7))),X7))),X6))) = X7,
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(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(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)],[c370]) ).
cnf(c372,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,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,X2)),
inference(congruence,[status(thm)],[c371]) ).
cnf(c373,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,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,X2)),X4),
inference(congruence,[status(thm)],[c372]) ).
cnf(c374,plain,
meet(X5,join(join(meet(X3,X4),meet(X4,X2)),X4)) = meet(X5,join(join(meet(X3,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,X2)),X4)),
inference(congruence,[status(thm)],[c373]) ).
cnf(c375,plain,
join(meet(X5,join(join(meet(X3,X4),meet(X4,X2)),X4)),meet(X4,join(X5,join(join(meet(X3,X4),meet(X4,X2)),X4)))) = join(meet(X5,join(join(meet(X3,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,X2)),X4)),meet(X4,join(X5,join(join(meet(X3,X4),meet(X4,X2)),X4)))),
inference(congruence,[status(thm)],[c374]) ).
cnf(c376,plain,
meet(join(meet(X6,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(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)],[c379]) ).
cnf(c381,plain,
join(meet(X3,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,X2)) = join(meet(X3,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(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))),X2)),
inference(congruence,[status(thm)],[c380]) ).
cnf(c382,plain,
join(join(meet(X3,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,X2)),X4) = join(join(meet(X3,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(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))),X2)),X4),
inference(congruence,[status(thm)],[c381]) ).
cnf(c383,plain,
meet(X5,join(join(meet(X3,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,X2)),X4)) = meet(X5,join(join(meet(X3,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(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))),X2)),X4)),
inference(congruence,[status(thm)],[c382]) ).
cnf(c384,plain,
join(meet(X5,join(join(meet(X3,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,X2)),X4)),meet(X4,join(X5,join(join(meet(X3,X4),meet(X4,X2)),X4)))) = join(meet(X5,join(join(meet(X3,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(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))),X2)),X4)),meet(X4,join(X5,join(join(meet(X3,X4),meet(X4,X2)),X4)))),
inference(congruence,[status(thm)],[c383]) ).
cnf(c385,plain,
meet(join(meet(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,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(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))),X2)),X4) = join(join(meet(X3,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(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))),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)],[c388]) ).
cnf(c390,plain,
meet(X5,join(join(meet(X3,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(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))),X2)),X4)) = meet(X5,join(join(meet(X3,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(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))),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)],[c389]) ).
cnf(c391,plain,
join(meet(X5,join(join(meet(X3,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(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))),X2)),X4)),meet(X4,join(X5,join(join(meet(X3,X4),meet(X4,X2)),X4)))) = join(meet(X5,join(join(meet(X3,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(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))),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))))),meet(X4,join(X5,join(join(meet(X3,X4),meet(X4,X2)),X4)))),
inference(congruence,[status(thm)],[c390]) ).
cnf(c392,plain,
meet(join(meet(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(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)],[c395]) ).
cnf(c397,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,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,X2)),
inference(congruence,[status(thm)],[c396]) ).
cnf(c398,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,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,X2)),X4),
inference(congruence,[status(thm)],[c397]) ).
cnf(c399,plain,
join(X5,join(join(meet(X3,X4),meet(X4,X2)),X4)) = join(X5,join(join(meet(X3,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,X2)),X4)),
inference(congruence,[status(thm)],[c398]) ).
cnf(c400,plain,
meet(X4,join(X5,join(join(meet(X3,X4),meet(X4,X2)),X4))) = meet(X4,join(X5,join(join(meet(X3,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,X2)),X4))),
inference(congruence,[status(thm)],[c399]) ).
cnf(c401,plain,
join(meet(X5,join(join(meet(X3,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(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))),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))))),meet(X4,join(X5,join(join(meet(X3,X4),meet(X4,X2)),X4)))) = join(meet(X5,join(join(meet(X3,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(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))),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))))),meet(X4,join(X5,join(join(meet(X3,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,X2)),X4)))),
inference(congruence,[status(thm)],[c400]) ).
cnf(c402,plain,
meet(join(meet(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,X2)),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(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)],[c405]) ).
cnf(c407,plain,
join(meet(X3,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,X2)) = join(meet(X3,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(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))),X2)),
inference(congruence,[status(thm)],[c406]) ).
cnf(c408,plain,
join(join(meet(X3,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,X2)),X4) = join(join(meet(X3,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(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))),X2)),X4),
inference(congruence,[status(thm)],[c407]) ).
cnf(c409,plain,
join(X5,join(join(meet(X3,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,X2)),X4)) = join(X5,join(join(meet(X3,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(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))),X2)),X4)),
inference(congruence,[status(thm)],[c408]) ).
cnf(c410,plain,
meet(X4,join(X5,join(join(meet(X3,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,X2)),X4))) = meet(X4,join(X5,join(join(meet(X3,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(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))),X2)),X4))),
inference(congruence,[status(thm)],[c409]) ).
cnf(c411,plain,
join(meet(X5,join(join(meet(X3,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(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))),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))))),meet(X4,join(X5,join(join(meet(X3,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,X2)),X4)))) = join(meet(X5,join(join(meet(X3,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(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))),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))))),meet(X4,join(X5,join(join(meet(X3,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(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))),X2)),X4)))),
inference(congruence,[status(thm)],[c410]) ).
cnf(c412,plain,
meet(join(meet(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,X2)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),X2)),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(X3,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(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))),X2)),X4) = join(join(meet(X3,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(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))),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)],[c415]) ).
cnf(c417,plain,
join(X5,join(join(meet(X3,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(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))),X2)),X4)) = join(X5,join(join(meet(X3,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(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))),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)],[c416]) ).
cnf(c418,plain,
meet(X4,join(X5,join(join(meet(X3,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(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))),X2)),X4))) = meet(X4,join(X5,join(join(meet(X3,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(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))),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)],[c417]) ).
cnf(c419,plain,
join(meet(X5,join(join(meet(X3,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(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))),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))))),meet(X4,join(X5,join(join(meet(X3,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(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))),X2)),X4)))) = join(meet(X5,join(join(meet(X3,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(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))),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))))),meet(X4,join(X5,join(join(meet(X3,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(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))),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)],[c418]) ).
cnf(c420,plain,
meet(join(meet(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),X2)),X5)))),join(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(join(meet(X6,X5),meet(X5,join(X6,X5))),X4)) = meet(join(meet(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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(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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),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))))),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(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))),X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,join(meet(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5),meet(X5,join(join(meet(join(meet(X,X5),meet(X5,join(X,X5))),X5),meet(X5,join(join(meet(X,X5),meet(X5,join(X,X5))),X5))),X5)))),meet(X5,X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X6,join(join(meet(X3,X5),meet(X5,X2)),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(X2,X4),meet(X4,X)),X4)),meet(X4,join(X5,join(join(meet(X2,X4),meet(X4,X)),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(X2,X4),meet(X4,X)),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(X2,X4),meet(X4,X)),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(X2,X4),meet(X4,X)),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(X2,X4),meet(X4,X)),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(X3,meet(meet(join(X4,join(X3,X2)),join(X,X3)),X3)),meet(meet(meet(join(X4,join(X3,X2)),join(X,X3)),X3),join(X3,meet(meet(join(X4,join(X3,X2)),join(X,X3)),X3)))) = meet(meet(join(X4,join(X3,X2)),join(X,X3)),X3),
inference(substitution,[status(thm)],[c469]) ).
cnf(c471,plain,
meet(meet(join(X4,join(X3,X2)),join(X,X3)),X3) = join(meet(X3,meet(meet(join(X4,join(X3,X2)),join(X,X3)),X3)),meet(meet(meet(join(X4,join(X3,X2)),join(X,X3)),X3),join(X3,meet(meet(join(X4,join(X3,X2)),join(X,X3)),X3)))),
inference(symmetry,[status(thm)],[c470]) ).
cnf(c472,plain,
join(meet(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3),meet(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))))),join(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3))) = join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),
inference(substitution,[status(thm)],[c464]) ).
cnf(c473,plain,
join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))) = join(meet(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3),meet(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))))),join(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3))),
inference(symmetry,[status(thm)],[c472]) ).
cnf(c474,plain,
join(meet(join(meet(X4,X2),meet(X2,join(X4,X2))),join(meet(X4,join(join(meet(X3,X2),meet(X2,X)),X2)),meet(X2,join(X4,join(join(meet(X3,X2),meet(X2,X)),X2))))),meet(join(meet(X4,join(join(meet(X3,X2),meet(X2,X)),X2)),meet(X2,join(X4,join(join(meet(X3,X2),meet(X2,X)),X2)))),join(join(meet(X4,X2),meet(X2,join(X4,X2))),join(meet(X4,join(join(meet(X3,X2),meet(X2,X)),X2)),meet(X2,join(X4,join(join(meet(X3,X2),meet(X2,X)),X2))))))) = X2,
inference(substitution,[status(thm)],[c464]) ).
cnf(c475,plain,
meet(join(meet(join(meet(X5,X3),meet(X3,join(X5,X3))),join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3))))),meet(join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)))),join(join(meet(X5,X3),meet(X3,join(X5,X3))),join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3))))))),X) = meet(X3,X),
inference(congruence,[status(thm)],[c474]) ).
cnf(c476,plain,
join(meet(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3),meet(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))))),join(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3))) = join(meet(X5,X3),meet(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))))),join(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3))),
inference(congruence,[status(thm)],[c475]) ).
cnf(c477,plain,
join(meet(join(meet(X6,X4),meet(X4,join(X6,X4))),join(join(meet(X2,join(meet(X6,join(join(meet(X5,X4),meet(X4,X3)),X4)),meet(X4,join(X6,join(join(meet(X5,X4),meet(X4,X3)),X4))))),meet(join(meet(X6,join(join(meet(X5,X4),meet(X4,X3)),X4)),meet(X4,join(X6,join(join(meet(X5,X4),meet(X4,X3)),X4)))),X)),join(meet(X6,join(join(meet(X5,X4),meet(X4,X3)),X4)),meet(X4,join(X6,join(join(meet(X5,X4),meet(X4,X3)),X4)))))),meet(join(meet(X6,join(join(meet(X5,X4),meet(X4,X3)),X4)),meet(X4,join(X6,join(join(meet(X5,X4),meet(X4,X3)),X4)))),join(join(meet(X6,X4),meet(X4,join(X6,X4))),join(join(meet(X2,join(meet(X6,join(join(meet(X5,X4),meet(X4,X3)),X4)),meet(X4,join(X6,join(join(meet(X5,X4),meet(X4,X3)),X4))))),meet(join(meet(X6,join(join(meet(X5,X4),meet(X4,X3)),X4)),meet(X4,join(X6,join(join(meet(X5,X4),meet(X4,X3)),X4)))),X)),join(meet(X6,join(join(meet(X5,X4),meet(X4,X3)),X4)),meet(X4,join(X6,join(join(meet(X5,X4),meet(X4,X3)),X4)))))))) = X4,
inference(substitution,[status(thm)],[c464]) ).
cnf(c478,plain,
meet(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))))),join(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3)) = meet(X5,join(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3)),
inference(congruence,[status(thm)],[c477]) ).
cnf(c479,plain,
join(meet(X5,X3),meet(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))))),join(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3))) = join(meet(X5,X3),meet(X5,join(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3))),
inference(congruence,[status(thm)],[c478]) ).
cnf(c480,plain,
join(meet(join(meet(X4,X2),meet(X2,join(X4,X2))),join(meet(X4,join(join(meet(X3,X2),meet(X2,X)),X2)),meet(X2,join(X4,join(join(meet(X3,X2),meet(X2,X)),X2))))),meet(join(meet(X4,join(join(meet(X3,X2),meet(X2,X)),X2)),meet(X2,join(X4,join(join(meet(X3,X2),meet(X2,X)),X2)))),join(join(meet(X4,X2),meet(X2,join(X4,X2))),join(meet(X4,join(join(meet(X3,X2),meet(X2,X)),X2)),meet(X2,join(X4,join(join(meet(X3,X2),meet(X2,X)),X2))))))) = X2,
inference(substitution,[status(thm)],[c464]) ).
cnf(c481,plain,
join(join(meet(join(meet(X5,X3),meet(X3,join(X5,X3))),join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3))))),meet(join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)))),join(join(meet(X5,X3),meet(X3,join(X5,X3))),join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3))))))),X) = join(X3,X),
inference(congruence,[status(thm)],[c480]) ).
cnf(c482,plain,
meet(X3,join(join(meet(join(meet(X5,X3),meet(X3,join(X5,X3))),join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3))))),meet(join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)))),join(join(meet(X5,X3),meet(X3,join(X5,X3))),join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3))))))),X)) = meet(X3,join(X3,X)),
inference(congruence,[status(thm)],[c481]) ).
cnf(c483,plain,
join(meet(X3,X),meet(X3,join(join(meet(join(meet(X5,X3),meet(X3,join(X5,X3))),join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3))))),meet(join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)))),join(join(meet(X5,X3),meet(X3,join(X5,X3))),join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3))))))),X))) = join(meet(X3,X),meet(X3,join(X3,X))),
inference(congruence,[status(thm)],[c482]) ).
cnf(c484,plain,
join(meet(X3,X),meet(X3,join(join(meet(join(meet(X5,X3),meet(X3,join(X5,X3))),join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3))))),meet(join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)))),join(join(meet(X5,X3),meet(X3,join(X5,X3))),join(meet(X5,join(join(meet(X4,X3),meet(X3,X2)),X3)),meet(X3,join(X5,join(join(meet(X4,X3),meet(X3,X2)),X3))))))),X))) = X3,
inference(transitivity,[status(thm)],[c483,c157]) ).
cnf(c485,plain,
join(meet(X5,X3),meet(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))))),join(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3))) = X5,
inference(transitivity,[status(thm)],[c479,c484]) ).
cnf(c486,plain,
join(meet(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3),meet(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(join(meet(X2,join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),X)),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))))))),join(join(meet(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))),meet(join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)))),join(join(meet(X7,X5),meet(X5,join(X7,X5))),join(meet(X7,join(join(meet(X6,X5),meet(X5,X4)),X5)),meet(X5,join(X7,join(join(meet(X6,X5),meet(X5,X4)),X5))))))),X3))) = X5,
inference(transitivity,[status(thm)],[c476,c485]) ).
cnf(c487,plain,
join(meet(X4,join(join(meet(X3,X2),meet(X2,X)),X2)),meet(X2,join(X4,join(join(meet(X3,X2),meet(X2,X)),X2)))) = X2,
inference(transitivity,[status(thm)],[c473,c486]) ).
cnf(c488,plain,
join(meet(X7,join(join(meet(X2,join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7))))),meet(join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))),X)),join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))))),meet(join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))),join(X7,join(join(meet(X2,join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7))))),meet(join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))),X)),join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))))))) = join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))),
inference(substitution,[status(thm)],[c487]) ).
cnf(c489,plain,
join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))) = join(meet(X7,join(join(meet(X2,join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7))))),meet(join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))),X)),join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))))),meet(join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))),join(X7,join(join(meet(X2,join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7))))),meet(join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))),X)),join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))))))),
inference(symmetry,[status(thm)],[c488]) ).
cnf(c490,plain,
join(meet(join(meet(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,X3)),X5)),meet(join(meet(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)))),join(join(meet(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,X3)),X5)))) = join(meet(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)))),
inference(substitution,[status(thm)],[c157]) ).
cnf(c491,plain,
join(meet(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)))) = join(meet(join(meet(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,X3)),X5)),meet(join(meet(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)))),join(join(meet(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)))),join(join(meet(X4,X5),meet(X5,X3)),X5)))),
inference(symmetry,[status(thm)],[c490]) ).
cnf(c492,plain,
meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X6,X5)) = meet(join(meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(X6,X5)),
inference(congruence,[status(thm)],[c491]) ).
cnf(c493,plain,
join(meet(X6,X5),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X6,X5))) = join(meet(X6,X5),meet(join(meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(X6,X5))),
inference(congruence,[status(thm)],[c492]) ).
cnf(c494,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c495,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c494]) ).
cnf(c496,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c495]) ).
cnf(c497,plain,
join(meet(X7,X6),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(X7,X6))) = join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),X6),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(X7,X6))),
inference(congruence,[status(thm)],[c496]) ).
cnf(c498,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c499,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c498]) ).
cnf(c500,plain,
join(X3,X2) = join(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c499]) ).
cnf(c501,plain,
meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(X7,X6)) = meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),X6)),
inference(congruence,[status(thm)],[c500]) ).
cnf(c502,plain,
join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),X6),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(X7,X6))) = join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),X6),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),X6))),
inference(congruence,[status(thm)],[c501]) ).
cnf(c503,plain,
join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),X6),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(join(meet(X5,X7),meet(X7,join(X5,X7))),X6))) = X7,
inference(substitution,[status(thm)],[c2]) ).
cnf(c504,plain,
join(meet(join(meet(X5,X7),meet(X7,join(X5,X7))),X6),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(X7,X6))) = X7,
inference(transitivity,[status(thm)],[c502,c503]) ).
cnf(c505,plain,
join(meet(X7,X6),meet(join(meet(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)),meet(join(meet(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)),meet(X,join(X7,meet(meet(join(X4,join(X7,X3)),join(X2,X7)),X7)))),join(X5,join(join(meet(X4,X7),meet(X7,X3)),X7)))),join(X7,X6))) = X7,
inference(transitivity,[status(thm)],[c497,c504]) ).
cnf(c506,plain,
join(meet(X6,X5),meet(join(meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,X3)),X6)),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(join(meet(X4,X6),meet(X6,X3)),X6)))),join(X6,X5))) = X6,
inference(substitution,[status(thm)],[c505]) ).
cnf(c507,plain,
join(meet(X6,X5),meet(join(meet(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)),meet(X,join(X6,meet(meet(join(X4,join(X6,X3)),join(X2,X6)),X6)))),join(X6,X5))) = X6,
inference(transitivity,[status(thm)],[c493,c506]) ).
cnf(c508,plain,
join(meet(X7,join(join(meet(X2,join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7))))),meet(join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))),X)),join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))))),meet(join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))),join(X7,join(join(meet(X2,join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7))))),meet(join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))),X)),join(meet(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)),meet(X3,join(X7,meet(meet(join(X6,join(X7,X5)),join(X4,X7)),X7)))))))) = X7,
inference(substitution,[status(thm)],[c507]) ).
cnf(c509,plain,
join(meet(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)),meet(X,join(X5,meet(meet(join(X4,join(X5,X3)),join(X2,X5)),X5)))) = X5,
inference(transitivity,[status(thm)],[c489,c508]) ).
cnf(c510,plain,
join(meet(X3,meet(meet(join(X4,join(X3,X2)),join(X,X3)),X3)),meet(meet(meet(join(X4,join(X3,X2)),join(X,X3)),X3),join(X3,meet(meet(join(X4,join(X3,X2)),join(X,X3)),X3)))) = X3,
inference(substitution,[status(thm)],[c509]) ).
cnf(c511,plain,
meet(meet(join(X4,join(X3,X2)),join(X,X3)),X3) = X3,
inference(transitivity,[status(thm)],[c471,c510]) ).
cnf(c512,plain,
meet(meet(join(X3,join(X4,X2)),join(X,X4)),X4) = X4,
inference(substitution,[status(thm)],[c511]) ).
cnf(c513,plain,
X4 = meet(meet(join(X3,join(X4,X2)),join(X,X4)),X4),
inference(symmetry,[status(thm)],[c512]) ).
cnf(c514,plain,
join(X4,X4) = join(X4,meet(meet(join(X3,join(X4,X2)),join(X,X4)),X4)),
inference(congruence,[status(thm)],[c513]) ).
cnf(c515,plain,
meet(X4,join(X5,X5)) = meet(X4,join(X5,meet(meet(join(X3,join(X5,X2)),join(X,X5)),X5))),
inference(congruence,[status(thm)],[c514]) ).
cnf(c516,plain,
join(meet(X5,X5),meet(X4,join(X5,X5))) = join(meet(X5,X5),meet(X4,join(X5,meet(meet(join(X3,join(X5,X2)),join(X,X5)),X5)))),
inference(congruence,[status(thm)],[c515]) ).
cnf(c517,plain,
meet(meet(join(X3,join(X4,X2)),join(X,X4)),X4) = X4,
inference(substitution,[status(thm)],[c511]) ).
cnf(c518,plain,
X4 = meet(meet(join(X3,join(X4,X2)),join(X,X4)),X4),
inference(symmetry,[status(thm)],[c517]) ).
cnf(c519,plain,
meet(X4,X4) = meet(X4,meet(meet(join(X3,join(X4,X2)),join(X,X4)),X4)),
inference(congruence,[status(thm)],[c518]) ).
cnf(c520,plain,
join(meet(X5,X5),meet(X4,join(X5,meet(meet(join(X3,join(X5,X2)),join(X,X5)),X5)))) = join(meet(X5,meet(meet(join(X3,join(X5,X2)),join(X,X5)),X5)),meet(X4,join(X5,meet(meet(join(X3,join(X5,X2)),join(X,X5)),X5)))),
inference(congruence,[status(thm)],[c519]) ).
cnf(c521,plain,
join(meet(X5,meet(meet(join(X3,join(X5,X2)),join(X,X5)),X5)),meet(X4,join(X5,meet(meet(join(X3,join(X5,X2)),join(X,X5)),X5)))) = X5,
inference(substitution,[status(thm)],[c509]) ).
cnf(c522,plain,
join(meet(X5,X5),meet(X4,join(X5,meet(meet(join(X3,join(X5,X2)),join(X,X5)),X5)))) = X5,
inference(transitivity,[status(thm)],[c520,c521]) ).
cnf(c523,plain,
join(meet(X2,X2),meet(X,join(X2,X2))) = X2,
inference(transitivity,[status(thm)],[c516,c522]) ).
cnf(c524,plain,
join(meet(join(X,X),join(X,X)),meet(X,join(join(X,X),join(X,X)))) = join(X,X),
inference(substitution,[status(thm)],[c523]) ).
cnf(c525,plain,
join(X,X) = join(meet(join(X,X),join(X,X)),meet(X,join(join(X,X),join(X,X)))),
inference(symmetry,[status(thm)],[c524]) ).
cnf(c526,plain,
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(substitution,[status(thm)],[c469]) ).
cnf(c527,plain,
X2 = 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))),
inference(symmetry,[status(thm)],[c526]) ).
cnf(c528,plain,
join(X2,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)],[c527]) ).
cnf(c529,plain,
join(X3,join(X2,X2)) = join(X3,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)],[c528]) ).
cnf(c530,plain,
meet(X2,join(X3,join(X2,X2))) = meet(X2,join(X3,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)],[c529]) ).
cnf(c531,plain,
join(meet(X3,join(X2,X2)),meet(X2,join(X3,join(X2,X2)))) = join(meet(X3,join(X2,X2)),meet(X2,join(X3,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)],[c530]) ).
cnf(c532,plain,
join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))) = X4,
inference(substitution,[status(thm)],[c487]) ).
cnf(c533,plain,
X4 = join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),
inference(symmetry,[status(thm)],[c532]) ).
cnf(c534,plain,
join(X4,X4) = join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),
inference(congruence,[status(thm)],[c533]) ).
cnf(c535,plain,
meet(X5,join(X4,X4)) = meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),
inference(congruence,[status(thm)],[c534]) ).
cnf(c536,plain,
join(meet(X5,join(X4,X4)),meet(X4,join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)))) = join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(X4,join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)))),
inference(congruence,[status(thm)],[c535]) ).
cnf(c537,plain,
join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))) = X4,
inference(substitution,[status(thm)],[c487]) ).
cnf(c538,plain,
X4 = join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),
inference(symmetry,[status(thm)],[c537]) ).
cnf(c539,plain,
meet(X4,join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4))) = meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4))),
inference(congruence,[status(thm)],[c538]) ).
cnf(c540,plain,
join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(X4,join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)))) = join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)))),
inference(congruence,[status(thm)],[c539]) ).
cnf(c541,plain,
join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))) = X4,
inference(substitution,[status(thm)],[c487]) ).
cnf(c542,plain,
X4 = join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),
inference(symmetry,[status(thm)],[c541]) ).
cnf(c543,plain,
meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4) = meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),
inference(congruence,[status(thm)],[c542]) ).
cnf(c544,plain,
join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))) = join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),
inference(congruence,[status(thm)],[c543]) ).
cnf(c545,plain,
join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4) = join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4),
inference(congruence,[status(thm)],[c544]) ).
cnf(c546,plain,
join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)) = join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)),
inference(congruence,[status(thm)],[c545]) ).
cnf(c547,plain,
meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4))) = meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4))),
inference(congruence,[status(thm)],[c546]) ).
cnf(c548,plain,
join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)))) = join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)))),
inference(congruence,[status(thm)],[c547]) ).
cnf(c549,plain,
join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))) = X4,
inference(substitution,[status(thm)],[c487]) ).
cnf(c550,plain,
X4 = join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),
inference(symmetry,[status(thm)],[c549]) ).
cnf(c551,plain,
meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4)) = meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4)),
inference(congruence,[status(thm)],[c550]) ).
cnf(c552,plain,
join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))) = join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),
inference(congruence,[status(thm)],[c551]) ).
cnf(c553,plain,
join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4) = join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4),
inference(congruence,[status(thm)],[c552]) ).
cnf(c554,plain,
join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)) = join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)),
inference(congruence,[status(thm)],[c553]) ).
cnf(c555,plain,
meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4))) = meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4))),
inference(congruence,[status(thm)],[c554]) ).
cnf(c556,plain,
join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)))) = join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)))),
inference(congruence,[status(thm)],[c555]) ).
cnf(c557,plain,
join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))) = X4,
inference(substitution,[status(thm)],[c487]) ).
cnf(c558,plain,
X4 = join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),
inference(symmetry,[status(thm)],[c557]) ).
cnf(c559,plain,
join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4) = join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),
inference(congruence,[status(thm)],[c558]) ).
cnf(c560,plain,
meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4)) = meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),
inference(congruence,[status(thm)],[c559]) ).
cnf(c561,plain,
join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))) = join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),
inference(congruence,[status(thm)],[c560]) ).
cnf(c562,plain,
join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4) = join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),X4),
inference(congruence,[status(thm)],[c561]) ).
cnf(c563,plain,
join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)) = join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),X4)),
inference(congruence,[status(thm)],[c562]) ).
cnf(c564,plain,
meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4))) = meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),X4))),
inference(congruence,[status(thm)],[c563]) ).
cnf(c565,plain,
join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)))) = join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),X4)))),
inference(congruence,[status(thm)],[c564]) ).
cnf(c566,plain,
join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))) = X4,
inference(substitution,[status(thm)],[c487]) ).
cnf(c567,plain,
X4 = join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),
inference(symmetry,[status(thm)],[c566]) ).
cnf(c568,plain,
join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),X4) = join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),
inference(congruence,[status(thm)],[c567]) ).
cnf(c569,plain,
join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),X4)) = join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),
inference(congruence,[status(thm)],[c568]) ).
cnf(c570,plain,
meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),X4))) = meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),
inference(congruence,[status(thm)],[c569]) ).
cnf(c571,plain,
join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),X4)))) = join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))))),
inference(congruence,[status(thm)],[c570]) ).
cnf(c572,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c573,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c572]) ).
cnf(c574,plain,
join(X5,join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c573]) ).
cnf(c575,plain,
meet(X6,join(X5,join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c574]) ).
cnf(c576,plain,
join(meet(X6,join(X5,join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c575]) ).
cnf(c577,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c578,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c577]) ).
cnf(c579,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c578]) ).
cnf(c580,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),
inference(congruence,[status(thm)],[c579]) ).
cnf(c581,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c580]) ).
cnf(c582,plain,
meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c581]) ).
cnf(c583,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c582]) ).
cnf(c584,plain,
join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c583]) ).
cnf(c585,plain,
meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c584]) ).
cnf(c586,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c585]) ).
cnf(c587,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c588,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c587]) ).
cnf(c589,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c588]) ).
cnf(c590,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c589]) ).
cnf(c591,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4),
inference(congruence,[status(thm)],[c590]) ).
cnf(c592,plain,
meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),
inference(congruence,[status(thm)],[c591]) ).
cnf(c593,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c592]) ).
cnf(c594,plain,
join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c593]) ).
cnf(c595,plain,
meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c594]) ).
cnf(c596,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[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,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c598]) ).
cnf(c600,plain,
meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c599]) ).
cnf(c601,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c600]) ).
cnf(c602,plain,
join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c601]) ).
cnf(c603,plain,
meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c602]) ).
cnf(c604,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c603]) ).
cnf(c605,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c606,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c605]) ).
cnf(c607,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c606]) ).
cnf(c608,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),
inference(congruence,[status(thm)],[c607]) ).
cnf(c609,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c608]) ).
cnf(c610,plain,
join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c609]) ).
cnf(c611,plain,
meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))),
inference(congruence,[status(thm)],[c610]) ).
cnf(c612,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c611]) ).
cnf(c613,plain,
join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c612]) ).
cnf(c614,plain,
meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c613]) ).
cnf(c615,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c614]) ).
cnf(c616,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c617,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c616]) ).
cnf(c618,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c617]) ).
cnf(c619,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c618]) ).
cnf(c620,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4),
inference(congruence,[status(thm)],[c619]) ).
cnf(c621,plain,
join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),
inference(congruence,[status(thm)],[c620]) ).
cnf(c622,plain,
meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))),
inference(congruence,[status(thm)],[c621]) ).
cnf(c623,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),
inference(congruence,[status(thm)],[c622]) ).
cnf(c624,plain,
join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))) = join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),
inference(congruence,[status(thm)],[c623]) ).
cnf(c625,plain,
meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))))) = meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))))),
inference(congruence,[status(thm)],[c624]) ).
cnf(c626,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c625]) ).
cnf(c627,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c628,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c627]) ).
cnf(c629,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c628]) ).
cnf(c630,plain,
join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c629]) ).
cnf(c631,plain,
meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))),
inference(congruence,[status(thm)],[c630]) ).
cnf(c632,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),
inference(congruence,[status(thm)],[c631]) ).
cnf(c633,plain,
join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))) = join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),
inference(congruence,[status(thm)],[c632]) ).
cnf(c634,plain,
meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))))) = meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),
inference(congruence,[status(thm)],[c633]) ).
cnf(c635,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c634]) ).
cnf(c636,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c637,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c636]) ).
cnf(c638,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c637]) ).
cnf(c639,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),
inference(congruence,[status(thm)],[c638]) ).
cnf(c640,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c639]) ).
cnf(c641,plain,
meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c640]) ).
cnf(c642,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c641]) ).
cnf(c643,plain,
meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c642]) ).
cnf(c644,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c643]) ).
cnf(c645,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c646,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c645]) ).
cnf(c647,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c646]) ).
cnf(c648,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c647]) ).
cnf(c649,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4),
inference(congruence,[status(thm)],[c648]) ).
cnf(c650,plain,
meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),
inference(congruence,[status(thm)],[c649]) ).
cnf(c651,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c650]) ).
cnf(c652,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c651]) ).
cnf(c653,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c652]) ).
cnf(c654,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c655,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c654]) ).
cnf(c656,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c655]) ).
cnf(c657,plain,
meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c656]) ).
cnf(c658,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c657]) ).
cnf(c659,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c658]) ).
cnf(c660,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c659]) ).
cnf(c661,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c662,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c661]) ).
cnf(c663,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c662]) ).
cnf(c664,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),
inference(congruence,[status(thm)],[c663]) ).
cnf(c665,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c664]) ).
cnf(c666,plain,
join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c665]) ).
cnf(c667,plain,
meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))),
inference(congruence,[status(thm)],[c666]) ).
cnf(c668,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c667]) ).
cnf(c669,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c668]) ).
cnf(c670,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c669]) ).
cnf(c671,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c672,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c671]) ).
cnf(c673,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c672]) ).
cnf(c674,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c673]) ).
cnf(c675,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4),
inference(congruence,[status(thm)],[c674]) ).
cnf(c676,plain,
join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),
inference(congruence,[status(thm)],[c675]) ).
cnf(c677,plain,
meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))),
inference(congruence,[status(thm)],[c676]) ).
cnf(c678,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),
inference(congruence,[status(thm)],[c677]) ).
cnf(c679,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c678]) ).
cnf(c680,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c679]) ).
cnf(c681,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c682,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c681]) ).
cnf(c683,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c682]) ).
cnf(c684,plain,
join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c683]) ).
cnf(c685,plain,
meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))),
inference(congruence,[status(thm)],[c684]) ).
cnf(c686,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),
inference(congruence,[status(thm)],[c685]) ).
cnf(c687,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c686]) ).
cnf(c688,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c687]) ).
cnf(c689,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c690,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c689]) ).
cnf(c691,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c690]) ).
cnf(c692,plain,
join(meet(X2,X3),meet(X3,join(X2,X3))) = join(meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),meet(X3,join(X2,X3))),
inference(congruence,[status(thm)],[c691]) ).
cnf(c693,plain,
meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c692]) ).
cnf(c694,plain,
join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c693]) ).
cnf(c695,plain,
join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c694]) ).
cnf(c696,plain,
join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c695]) ).
cnf(c697,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c696]) ).
cnf(c698,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c697]) ).
cnf(c699,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c700,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c699]) ).
cnf(c701,plain,
meet(X3,join(X2,X3)) = meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,X3)),
inference(congruence,[status(thm)],[c700]) ).
cnf(c702,plain,
join(meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),meet(X3,join(X2,X3))) = join(meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,X3))),
inference(congruence,[status(thm)],[c701]) ).
cnf(c703,plain,
meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c702]) ).
cnf(c704,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c703]) ).
cnf(c705,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c704]) ).
cnf(c706,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c705]) ).
cnf(c707,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c706]) ).
cnf(c708,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c707]) ).
cnf(c709,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c710,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c709]) ).
cnf(c711,plain,
join(X2,X3) = join(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c710]) ).
cnf(c712,plain,
meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,X3)) = meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,join(meet(X,X3),meet(X3,join(X,X3))))),
inference(congruence,[status(thm)],[c711]) ).
cnf(c713,plain,
join(meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,X3))) = join(meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,join(meet(X,X3),meet(X3,join(X,X3)))))),
inference(congruence,[status(thm)],[c712]) ).
cnf(c714,plain,
meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c713]) ).
cnf(c715,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c714]) ).
cnf(c716,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c715]) ).
cnf(c717,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c716]) ).
cnf(c718,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c717]) ).
cnf(c719,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c718]) ).
cnf(c720,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c721,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c720]) ).
cnf(c722,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c721]) ).
cnf(c723,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),
inference(congruence,[status(thm)],[c722]) ).
cnf(c724,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c723]) ).
cnf(c725,plain,
meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c724]) ).
cnf(c726,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c725]) ).
cnf(c727,plain,
meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c726]) ).
cnf(c728,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c727]) ).
cnf(c729,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c728]) ).
cnf(c730,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c729]) ).
cnf(c731,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c730]) ).
cnf(c732,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c731]) ).
cnf(c733,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c734,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c733]) ).
cnf(c735,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c734]) ).
cnf(c736,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c735]) ).
cnf(c737,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4),
inference(congruence,[status(thm)],[c736]) ).
cnf(c738,plain,
meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),
inference(congruence,[status(thm)],[c737]) ).
cnf(c739,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c738]) ).
cnf(c740,plain,
meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c739]) ).
cnf(c741,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c740]) ).
cnf(c742,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c741]) ).
cnf(c743,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c742]) ).
cnf(c744,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c743]) ).
cnf(c745,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c744]) ).
cnf(c746,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c747,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c746]) ).
cnf(c748,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c747]) ).
cnf(c749,plain,
meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c748]) ).
cnf(c750,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c749]) ).
cnf(c751,plain,
meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c750]) ).
cnf(c752,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c751]) ).
cnf(c753,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c752]) ).
cnf(c754,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c753]) ).
cnf(c755,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c754]) ).
cnf(c756,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c755]) ).
cnf(c757,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c758,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c757]) ).
cnf(c759,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c758]) ).
cnf(c760,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),
inference(congruence,[status(thm)],[c759]) ).
cnf(c761,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c760]) ).
cnf(c762,plain,
join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c761]) ).
cnf(c763,plain,
meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))),
inference(congruence,[status(thm)],[c762]) ).
cnf(c764,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c763]) ).
cnf(c765,plain,
meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c764]) ).
cnf(c766,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c765]) ).
cnf(c767,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c766]) ).
cnf(c768,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c767]) ).
cnf(c769,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c768]) ).
cnf(c770,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c769]) ).
cnf(c771,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c772,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c771]) ).
cnf(c773,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c772]) ).
cnf(c774,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c773]) ).
cnf(c775,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4),
inference(congruence,[status(thm)],[c774]) ).
cnf(c776,plain,
join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),
inference(congruence,[status(thm)],[c775]) ).
cnf(c777,plain,
meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))),
inference(congruence,[status(thm)],[c776]) ).
cnf(c778,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),
inference(congruence,[status(thm)],[c777]) ).
cnf(c779,plain,
meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))) = meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),
inference(congruence,[status(thm)],[c778]) ).
cnf(c780,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c779]) ).
cnf(c781,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c780]) ).
cnf(c782,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c781]) ).
cnf(c783,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c782]) ).
cnf(c784,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c783]) ).
cnf(c785,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c786,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c785]) ).
cnf(c787,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c786]) ).
cnf(c788,plain,
join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c787]) ).
cnf(c789,plain,
meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))),
inference(congruence,[status(thm)],[c788]) ).
cnf(c790,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),
inference(congruence,[status(thm)],[c789]) ).
cnf(c791,plain,
meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))) = meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),
inference(congruence,[status(thm)],[c790]) ).
cnf(c792,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c791]) ).
cnf(c793,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c792]) ).
cnf(c794,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c793]) ).
cnf(c795,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c794]) ).
cnf(c796,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c795]) ).
cnf(c797,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c798,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c797]) ).
cnf(c799,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c798]) ).
cnf(c800,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),
inference(congruence,[status(thm)],[c799]) ).
cnf(c801,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c800]) ).
cnf(c802,plain,
meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c801]) ).
cnf(c803,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c802]) ).
cnf(c804,plain,
meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c803]) ).
cnf(c805,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c804]) ).
cnf(c806,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c805]) ).
cnf(c807,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c806]) ).
cnf(c808,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c807]) ).
cnf(c809,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c808]) ).
cnf(c810,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c811,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c810]) ).
cnf(c812,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c811]) ).
cnf(c813,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c812]) ).
cnf(c814,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4),
inference(congruence,[status(thm)],[c813]) ).
cnf(c815,plain,
meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),
inference(congruence,[status(thm)],[c814]) ).
cnf(c816,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c815]) ).
cnf(c817,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c816]) ).
cnf(c818,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c817]) ).
cnf(c819,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c818]) ).
cnf(c820,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c819]) ).
cnf(c821,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c820]) ).
cnf(c822,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c821]) ).
cnf(c823,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c824,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c823]) ).
cnf(c825,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c824]) ).
cnf(c826,plain,
meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c825]) ).
cnf(c827,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c826]) ).
cnf(c828,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c827]) ).
cnf(c829,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c828]) ).
cnf(c830,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c829]) ).
cnf(c831,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c830]) ).
cnf(c832,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c831]) ).
cnf(c833,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c832]) ).
cnf(c834,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c835,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c834]) ).
cnf(c836,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c835]) ).
cnf(c837,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),
inference(congruence,[status(thm)],[c836]) ).
cnf(c838,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c837]) ).
cnf(c839,plain,
join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c838]) ).
cnf(c840,plain,
meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))),
inference(congruence,[status(thm)],[c839]) ).
cnf(c841,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c840]) ).
cnf(c842,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c841]) ).
cnf(c843,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c842]) ).
cnf(c844,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c843]) ).
cnf(c845,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c844]) ).
cnf(c846,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c845]) ).
cnf(c847,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c846]) ).
cnf(c848,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c849,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c848]) ).
cnf(c850,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c849]) ).
cnf(c851,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c850]) ).
cnf(c852,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4),
inference(congruence,[status(thm)],[c851]) ).
cnf(c853,plain,
join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),
inference(congruence,[status(thm)],[c852]) ).
cnf(c854,plain,
meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))),
inference(congruence,[status(thm)],[c853]) ).
cnf(c855,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),
inference(congruence,[status(thm)],[c854]) ).
cnf(c856,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c855]) ).
cnf(c857,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c856]) ).
cnf(c858,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c857]) ).
cnf(c859,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c858]) ).
cnf(c860,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c859]) ).
cnf(c861,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c860]) ).
cnf(c862,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c863,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c862]) ).
cnf(c864,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c863]) ).
cnf(c865,plain,
join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c864]) ).
cnf(c866,plain,
meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))),
inference(congruence,[status(thm)],[c865]) ).
cnf(c867,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),
inference(congruence,[status(thm)],[c866]) ).
cnf(c868,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c867]) ).
cnf(c869,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c868]) ).
cnf(c870,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c869]) ).
cnf(c871,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c870]) ).
cnf(c872,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c871]) ).
cnf(c873,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c872]) ).
cnf(c874,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c875,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c874]) ).
cnf(c876,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c875]) ).
cnf(c877,plain,
join(meet(X2,X3),meet(X3,join(X2,X3))) = join(meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),meet(X3,join(X2,X3))),
inference(congruence,[status(thm)],[c876]) ).
cnf(c878,plain,
join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c877]) ).
cnf(c879,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c878]) ).
cnf(c880,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c879]) ).
cnf(c881,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c880]) ).
cnf(c882,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c881]) ).
cnf(c883,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c882]) ).
cnf(c884,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c883]) ).
cnf(c885,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c886,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c885]) ).
cnf(c887,plain,
meet(X3,join(X2,X3)) = meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,X3)),
inference(congruence,[status(thm)],[c886]) ).
cnf(c888,plain,
join(meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),meet(X3,join(X2,X3))) = join(meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,X3))),
inference(congruence,[status(thm)],[c887]) ).
cnf(c889,plain,
join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c888]) ).
cnf(c890,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c889]) ).
cnf(c891,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c890]) ).
cnf(c892,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c891]) ).
cnf(c893,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c892]) ).
cnf(c894,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c893]) ).
cnf(c895,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c894]) ).
cnf(c896,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c897,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c896]) ).
cnf(c898,plain,
join(X2,X3) = join(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c897]) ).
cnf(c899,plain,
meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,X3)) = meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,join(meet(X,X3),meet(X3,join(X,X3))))),
inference(congruence,[status(thm)],[c898]) ).
cnf(c900,plain,
join(meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,X3))) = join(meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,join(meet(X,X3),meet(X3,join(X,X3)))))),
inference(congruence,[status(thm)],[c899]) ).
cnf(c901,plain,
join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c900]) ).
cnf(c902,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c901]) ).
cnf(c903,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c902]) ).
cnf(c904,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c903]) ).
cnf(c905,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c904]) ).
cnf(c906,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c905]) ).
cnf(c907,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c906]) ).
cnf(c908,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c909,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c908]) ).
cnf(c910,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c909]) ).
cnf(c911,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),
inference(congruence,[status(thm)],[c910]) ).
cnf(c912,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c911]) ).
cnf(c913,plain,
meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c912]) ).
cnf(c914,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c913]) ).
cnf(c915,plain,
join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c914]) ).
cnf(c916,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c915]) ).
cnf(c917,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c916]) ).
cnf(c918,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c917]) ).
cnf(c919,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c918]) ).
cnf(c920,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c919]) ).
cnf(c921,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c920]) ).
cnf(c922,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c923,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c922]) ).
cnf(c924,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c923]) ).
cnf(c925,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c924]) ).
cnf(c926,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4),
inference(congruence,[status(thm)],[c925]) ).
cnf(c927,plain,
meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),
inference(congruence,[status(thm)],[c926]) ).
cnf(c928,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c927]) ).
cnf(c929,plain,
join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c928]) ).
cnf(c930,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c929]) ).
cnf(c931,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c930]) ).
cnf(c932,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c931]) ).
cnf(c933,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c932]) ).
cnf(c934,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c933]) ).
cnf(c935,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c934]) ).
cnf(c936,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c937,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c936]) ).
cnf(c938,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c937]) ).
cnf(c939,plain,
meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c938]) ).
cnf(c940,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c939]) ).
cnf(c941,plain,
join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c940]) ).
cnf(c942,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c941]) ).
cnf(c943,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c942]) ).
cnf(c944,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c943]) ).
cnf(c945,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c944]) ).
cnf(c946,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c945]) ).
cnf(c947,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c946]) ).
cnf(c948,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c949,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c948]) ).
cnf(c950,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c949]) ).
cnf(c951,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),
inference(congruence,[status(thm)],[c950]) ).
cnf(c952,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c951]) ).
cnf(c953,plain,
join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c952]) ).
cnf(c954,plain,
meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))),
inference(congruence,[status(thm)],[c953]) ).
cnf(c955,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c954]) ).
cnf(c956,plain,
join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c955]) ).
cnf(c957,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c956]) ).
cnf(c958,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c957]) ).
cnf(c959,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c958]) ).
cnf(c960,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c959]) ).
cnf(c961,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c960]) ).
cnf(c962,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c961]) ).
cnf(c963,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c964,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c963]) ).
cnf(c965,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c964]) ).
cnf(c966,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c965]) ).
cnf(c967,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4),
inference(congruence,[status(thm)],[c966]) ).
cnf(c968,plain,
join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),
inference(congruence,[status(thm)],[c967]) ).
cnf(c969,plain,
meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))),
inference(congruence,[status(thm)],[c968]) ).
cnf(c970,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),
inference(congruence,[status(thm)],[c969]) ).
cnf(c971,plain,
join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))) = join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),
inference(congruence,[status(thm)],[c970]) ).
cnf(c972,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))))),
inference(congruence,[status(thm)],[c971]) ).
cnf(c973,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))))),
inference(congruence,[status(thm)],[c972]) ).
cnf(c974,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c973]) ).
cnf(c975,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c974]) ).
cnf(c976,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c975]) ).
cnf(c977,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c976]) ).
cnf(c978,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c979,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c978]) ).
cnf(c980,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c979]) ).
cnf(c981,plain,
join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c980]) ).
cnf(c982,plain,
meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))),
inference(congruence,[status(thm)],[c981]) ).
cnf(c983,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),
inference(congruence,[status(thm)],[c982]) ).
cnf(c984,plain,
join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))) = join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),
inference(congruence,[status(thm)],[c983]) ).
cnf(c985,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),
inference(congruence,[status(thm)],[c984]) ).
cnf(c986,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),
inference(congruence,[status(thm)],[c985]) ).
cnf(c987,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c986]) ).
cnf(c988,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c987]) ).
cnf(c989,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c988]) ).
cnf(c990,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c989]) ).
cnf(c991,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c992,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c991]) ).
cnf(c993,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c992]) ).
cnf(c994,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),
inference(congruence,[status(thm)],[c993]) ).
cnf(c995,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c994]) ).
cnf(c996,plain,
meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c995]) ).
cnf(c997,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c996]) ).
cnf(c998,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c997]) ).
cnf(c999,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c998]) ).
cnf(c1000,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c999]) ).
cnf(c1001,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c1000]) ).
cnf(c1002,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c1003,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c1002]) ).
cnf(c1004,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c1003]) ).
cnf(c1005,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c1004]) ).
cnf(c1006,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4),
inference(congruence,[status(thm)],[c1005]) ).
cnf(c1007,plain,
meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),
inference(congruence,[status(thm)],[c1006]) ).
cnf(c1008,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c1007]) ).
cnf(c1009,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c1008]) ).
cnf(c1010,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c1009]) ).
cnf(c1011,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c1010]) ).
cnf(c1012,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c1011]) ).
cnf(c1013,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c1014,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c1013]) ).
cnf(c1015,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c1014]) ).
cnf(c1016,plain,
meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)) = meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c1015]) ).
cnf(c1017,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c1016]) ).
cnf(c1018,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c1017]) ).
cnf(c1019,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c1018]) ).
cnf(c1020,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c1019]) ).
cnf(c1021,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c1020]) ).
cnf(c1022,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c1023,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c1022]) ).
cnf(c1024,plain,
meet(X2,X3) = meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))),
inference(congruence,[status(thm)],[c1023]) ).
cnf(c1025,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),
inference(congruence,[status(thm)],[c1024]) ).
cnf(c1026,plain,
join(join(meet(X3,X4),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c1025]) ).
cnf(c1027,plain,
join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c1026]) ).
cnf(c1028,plain,
meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))),
inference(congruence,[status(thm)],[c1027]) ).
cnf(c1029,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c1028]) ).
cnf(c1030,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),
inference(congruence,[status(thm)],[c1029]) ).
cnf(c1031,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))))),
inference(congruence,[status(thm)],[c1030]) ).
cnf(c1032,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))))),
inference(congruence,[status(thm)],[c1031]) ).
cnf(c1033,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))))))),
inference(congruence,[status(thm)],[c1032]) ).
cnf(c1034,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c1035,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c1034]) ).
cnf(c1036,plain,
meet(X3,X2) = meet(join(meet(X,X3),meet(X3,join(X,X3))),X2),
inference(congruence,[status(thm)],[c1035]) ).
cnf(c1037,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)) = join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c1036]) ).
cnf(c1038,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(X4,X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4),
inference(congruence,[status(thm)],[c1037]) ).
cnf(c1039,plain,
join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),
inference(congruence,[status(thm)],[c1038]) ).
cnf(c1040,plain,
meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))),
inference(congruence,[status(thm)],[c1039]) ).
cnf(c1041,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),
inference(congruence,[status(thm)],[c1040]) ).
cnf(c1042,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),
inference(congruence,[status(thm)],[c1041]) ).
cnf(c1043,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))))),
inference(congruence,[status(thm)],[c1042]) ).
cnf(c1044,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))))),
inference(congruence,[status(thm)],[c1043]) ).
cnf(c1045,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))))))),
inference(congruence,[status(thm)],[c1044]) ).
cnf(c1046,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c1047,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c1046]) ).
cnf(c1048,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),X4) = join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c1047]) ).
cnf(c1049,plain,
join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)) = join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c1048]) ).
cnf(c1050,plain,
meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))) = meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))),
inference(congruence,[status(thm)],[c1049]) ).
cnf(c1051,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),
inference(congruence,[status(thm)],[c1050]) ).
cnf(c1052,plain,
join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),
inference(congruence,[status(thm)],[c1051]) ).
cnf(c1053,plain,
join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))))) = join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),
inference(congruence,[status(thm)],[c1052]) ).
cnf(c1054,plain,
meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))))) = meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),
inference(congruence,[status(thm)],[c1053]) ).
cnf(c1055,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))))))) = join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))))),
inference(congruence,[status(thm)],[c1054]) ).
cnf(c1056,plain,
join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))) = join(meet(X,X5),meet(X5,join(X,X5))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c1057,plain,
join(meet(X,X5),meet(X5,join(X,X5))) = join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),
inference(symmetry,[status(thm)],[c1056]) ).
cnf(c1058,plain,
join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))) = join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),
inference(congruence,[status(thm)],[c1057]) ).
cnf(c1059,plain,
meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))) = meet(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),
inference(congruence,[status(thm)],[c1058]) ).
cnf(c1060,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))))) = join(meet(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))))),
inference(congruence,[status(thm)],[c1059]) ).
cnf(c1061,plain,
join(meet(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))))) = join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),
inference(substitution,[status(thm)],[c487]) ).
cnf(c1062,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c1063,plain,
meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))) = meet(X2,X3),
inference(congruence,[status(thm)],[c1062]) ).
cnf(c1064,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)) = join(meet(X3,X4),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c1063]) ).
cnf(c1065,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))) = join(join(meet(X3,X4),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c1064]) ).
cnf(c1066,plain,
meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))) = meet(X4,join(join(meet(X3,X5),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c1065]) ).
cnf(c1067,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))) = join(meet(X4,join(join(meet(X3,X5),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),
inference(congruence,[status(thm)],[c1066]) ).
cnf(c1068,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c1069,plain,
meet(join(meet(X,X3),meet(X3,join(X,X3))),X2) = meet(X3,X2),
inference(congruence,[status(thm)],[c1068]) ).
cnf(c1070,plain,
join(meet(X3,X4),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)) = join(meet(X3,X4),meet(X4,X2)),
inference(congruence,[status(thm)],[c1069]) ).
cnf(c1071,plain,
join(join(meet(X3,X4),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))) = join(join(meet(X3,X4),meet(X4,X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c1070]) ).
cnf(c1072,plain,
meet(X4,join(join(meet(X3,X5),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))) = meet(X4,join(join(meet(X3,X5),meet(X5,X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c1071]) ).
cnf(c1073,plain,
join(meet(X4,join(join(meet(X3,X5),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))) = join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),
inference(congruence,[status(thm)],[c1072]) ).
cnf(c1074,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c1075,plain,
join(join(meet(X3,X4),meet(X4,X2)),join(meet(X,X4),meet(X4,join(X,X4)))) = join(join(meet(X3,X4),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c1074]) ).
cnf(c1076,plain,
meet(X4,join(join(meet(X3,X5),meet(X5,X2)),join(meet(X,X5),meet(X5,join(X,X5))))) = meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c1075]) ).
cnf(c1077,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))) = join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),
inference(congruence,[status(thm)],[c1076]) ).
cnf(c1078,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c1079,plain,
meet(X2,join(meet(X,X3),meet(X3,join(X,X3)))) = meet(X2,X3),
inference(congruence,[status(thm)],[c1078]) ).
cnf(c1080,plain,
join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)) = join(meet(X3,X4),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),
inference(congruence,[status(thm)],[c1079]) ).
cnf(c1081,plain,
join(join(meet(X3,join(meet(X,X4),meet(X4,join(X,X4)))),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))) = join(join(meet(X3,X4),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c1080]) ).
cnf(c1082,plain,
join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))) = join(X4,join(join(meet(X3,X5),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c1081]) ).
cnf(c1083,plain,
meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))) = meet(X5,join(X4,join(join(meet(X3,X5),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))),
inference(congruence,[status(thm)],[c1082]) ).
cnf(c1084,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))) = join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),
inference(congruence,[status(thm)],[c1083]) ).
cnf(c1085,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c1086,plain,
meet(join(meet(X,X3),meet(X3,join(X,X3))),X2) = meet(X3,X2),
inference(congruence,[status(thm)],[c1085]) ).
cnf(c1087,plain,
join(meet(X3,X4),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)) = join(meet(X3,X4),meet(X4,X2)),
inference(congruence,[status(thm)],[c1086]) ).
cnf(c1088,plain,
join(join(meet(X3,X4),meet(join(meet(X,X4),meet(X4,join(X,X4))),X2)),join(meet(X,X4),meet(X4,join(X,X4)))) = join(join(meet(X3,X4),meet(X4,X2)),join(meet(X,X4),meet(X4,join(X,X4)))),
inference(congruence,[status(thm)],[c1087]) ).
cnf(c1089,plain,
join(X4,join(join(meet(X3,X5),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))) = join(X4,join(join(meet(X3,X5),meet(X5,X2)),join(meet(X,X5),meet(X5,join(X,X5))))),
inference(congruence,[status(thm)],[c1088]) ).
cnf(c1090,plain,
meet(X5,join(X4,join(join(meet(X3,X5),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))) = meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),join(meet(X,X5),meet(X5,join(X,X5)))))),
inference(congruence,[status(thm)],[c1089]) ).
cnf(c1091,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))) = join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),
inference(congruence,[status(thm)],[c1090]) ).
cnf(c1092,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c469]) ).
cnf(c1093,plain,
join(join(meet(X3,X4),meet(X4,X2)),join(meet(X,X4),meet(X4,join(X,X4)))) = join(join(meet(X3,X4),meet(X4,X2)),X4),
inference(congruence,[status(thm)],[c1092]) ).
cnf(c1094,plain,
join(X4,join(join(meet(X3,X5),meet(X5,X2)),join(meet(X,X5),meet(X5,join(X,X5))))) = join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),
inference(congruence,[status(thm)],[c1093]) ).
cnf(c1095,plain,
meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),join(meet(X,X5),meet(X5,join(X,X5)))))) = meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))),
inference(congruence,[status(thm)],[c1094]) ).
cnf(c1096,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),join(meet(X,X5),meet(X5,join(X,X5))))))) = join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),
inference(congruence,[status(thm)],[c1095]) ).
cnf(c1097,plain,
join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))) = X4,
inference(substitution,[status(thm)],[c487]) ).
cnf(c1098,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),join(meet(X,X5),meet(X5,join(X,X5))))))) = X5,
inference(transitivity,[status(thm)],[c1096,c1097]) ).
cnf(c1099,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))) = X5,
inference(transitivity,[status(thm)],[c1091,c1098]) ).
cnf(c1100,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))) = X5,
inference(transitivity,[status(thm)],[c1084,c1099]) ).
cnf(c1101,plain,
join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))) = X5,
inference(transitivity,[status(thm)],[c1077,c1100]) ).
cnf(c1102,plain,
join(meet(X4,join(join(meet(X3,X5),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))) = X5,
inference(transitivity,[status(thm)],[c1073,c1101]) ).
cnf(c1103,plain,
join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))) = X5,
inference(transitivity,[status(thm)],[c1067,c1102]) ).
cnf(c1104,plain,
join(meet(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))))) = X5,
inference(transitivity,[status(thm)],[c1061,c1103]) ).
cnf(c1105,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))))) = X5,
inference(transitivity,[status(thm)],[c1060,c1104]) ).
cnf(c1106,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c1055,c1105]) ).
cnf(c1107,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c1045,c1106]) ).
cnf(c1108,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c1033,c1107]) ).
cnf(c1109,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c1021,c1108]) ).
cnf(c1110,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c1012,c1109]) ).
cnf(c1111,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c1001,c1110]) ).
cnf(c1112,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c990,c1111]) ).
cnf(c1113,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c977,c1112]) ).
cnf(c1114,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c962,c1113]) ).
cnf(c1115,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c947,c1114]) ).
cnf(c1116,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c935,c1115]) ).
cnf(c1117,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c921,c1116]) ).
cnf(c1118,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c907,c1117]) ).
cnf(c1119,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c895,c1118]) ).
cnf(c1120,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c884,c1119]) ).
cnf(c1121,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c873,c1120]) ).
cnf(c1122,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c861,c1121]) ).
cnf(c1123,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c847,c1122]) ).
cnf(c1124,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c833,c1123]) ).
cnf(c1125,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c822,c1124]) ).
cnf(c1126,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5)))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c809,c1125]) ).
cnf(c1127,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c796,c1126]) ).
cnf(c1128,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c784,c1127]) ).
cnf(c1129,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c770,c1128]) ).
cnf(c1130,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c756,c1129]) ).
cnf(c1131,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c745,c1130]) ).
cnf(c1132,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,join(meet(X,X5),meet(X5,join(X,X5)))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c732,c1131]) ).
cnf(c1133,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c719,c1132]) ).
cnf(c1134,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c708,c1133]) ).
cnf(c1135,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c698,c1134]) ).
cnf(c1136,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c688,c1135]) ).
cnf(c1137,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c680,c1136]) ).
cnf(c1138,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c670,c1137]) ).
cnf(c1139,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c660,c1138]) ).
cnf(c1140,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c653,c1139]) ).
cnf(c1141,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c644,c1140]) ).
cnf(c1142,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c635,c1141]) ).
cnf(c1143,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c626,c1142]) ).
cnf(c1144,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),join(meet(X,X5),meet(X5,join(X,X5))))),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c615,c1143]) ).
cnf(c1145,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(join(meet(X,X5),meet(X5,join(X,X5))),X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c604,c1144]) ).
cnf(c1146,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,join(meet(X,X5),meet(X5,join(X,X5)))),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c596,c1145]) ).
cnf(c1147,plain,
join(meet(X6,join(join(meet(X,X5),meet(X5,join(X,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(X6,join(join(meet(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))),meet(join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))),join(join(meet(X4,X5),meet(X5,join(X4,X5))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5))))))),join(meet(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)),meet(X5,join(X4,join(join(meet(X3,X5),meet(X5,X2)),X5)))))))) = X5,
inference(transitivity,[status(thm)],[c586,c1146]) ).
cnf(c1148,plain,
join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))))) = X4,
inference(transitivity,[status(thm)],[c576,c1147]) ).
cnf(c1149,plain,
join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))))),X4)))) = X4,
inference(transitivity,[status(thm)],[c571,c1148]) ).
cnf(c1150,plain,
join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)))) = X4,
inference(transitivity,[status(thm)],[c565,c1149]) ).
cnf(c1151,plain,
join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4))))),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)))) = X4,
inference(transitivity,[status(thm)],[c556,c1150]) ).
cnf(c1152,plain,
join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))),join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)))) = X4,
inference(transitivity,[status(thm)],[c548,c1151]) ).
cnf(c1153,plain,
join(meet(X5,join(X4,join(meet(X3,join(join(meet(X2,X4),meet(X4,X)),X4)),meet(X4,join(X3,join(join(meet(X2,X4),meet(X4,X)),X4)))))),meet(X4,join(X5,join(join(meet(join(meet(X3,X4),meet(X4,join(X3,X4))),X4),meet(X4,join(join(meet(X3,X4),meet(X4,join(X3,X4))),X4))),X4)))) = X4,
inference(transitivity,[status(thm)],[c540,c1152]) ).
cnf(c1154,plain,
join(meet(X3,join(X2,X2)),meet(X2,join(X3,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(transitivity,[status(thm)],[c536,c1153]) ).
cnf(c1155,plain,
join(meet(X2,join(X,X)),meet(X,join(X2,join(X,X)))) = X,
inference(transitivity,[status(thm)],[c531,c1154]) ).
cnf(c1156,plain,
join(meet(join(X,X),join(X,X)),meet(X,join(join(X,X),join(X,X)))) = X,
inference(substitution,[status(thm)],[c1155]) ).
cnf(c1157,plain,
join(X,X) = X,
inference(transitivity,[status(thm)],[c525,c1156]) ).
cnf(c1158,plain,
join(meet(X,X),meet(X,X)) = meet(X,X),
inference(substitution,[status(thm)],[c1157]) ).
cnf(c1159,plain,
meet(X,X) = join(meet(X,X),meet(X,X)),
inference(symmetry,[status(thm)],[c1158]) ).
cnf(c1160,plain,
X = join(X,X),
inference(symmetry,[status(thm)],[c1157]) ).
cnf(c1161,plain,
meet(X,X) = meet(X,join(X,X)),
inference(congruence,[status(thm)],[c1160]) ).
cnf(c1162,plain,
join(meet(X,X),meet(X,X)) = join(meet(X,X),meet(X,join(X,X))),
inference(congruence,[status(thm)],[c1161]) ).
cnf(c1163,plain,
join(meet(X,X),meet(X,join(X,X))) = X,
inference(substitution,[status(thm)],[c157]) ).
cnf(c1164,plain,
join(meet(X,X),meet(X,X)) = X,
inference(transitivity,[status(thm)],[c1162,c1163]) ).
cnf(c1165,plain,
meet(X,X) = X,
inference(transitivity,[status(thm)],[c1159,c1164]) ).
cnf(c1166,plain,
meet(a,a) = a,
inference(substitution,[status(thm)],[c1165]) ).
cnf(c1167,plain,
$false,
inference(resolution,[status(thm)],[c1,c1166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT080-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.07 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n008.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 14:00:39 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.22/1.80 Command-line arguments: --no-flatten-goal
% 9.22/1.80
% 9.22/1.80 % SZS status Unsatisfiable
% 9.22/1.80
% 42.46/5.96 % SZS output start CNFRefutation
% See solution above
% 125.94/23.76
% 125.94/23.76 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------